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FOTD 27-03-05 (Squishy [5])
by Jim Muth 27 Mar '05

27 Mar '05

FOTD -- March 27, 2005 (Rating 5) Fractal visionaries and enthusiasts: It's Easter. I see a busy day looming, so I must be terse. With today's image we return to the MandelbrotMix4 formula to examine the fractal that results when various portions of Z^(-1.9) and Z^(-6.5) are combined and (1/C) is added. After only a small bit of examination, we discover today's scene, which was rendered with the outside set to 'tdis'. The resulting image reminds me of splotches of oil spreading over a metallic surface. I named it "Squishy" and rated it at a 5. The included parameter file renders in under one minute, about the same time it will take to download the completed image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A chilly cloudy day on Saturday limited the duo's outdoor time to under two hours. The two hours must have been enough however, for when they came inside, they seemed satisfied, and asked for no extra tuna. Today is starting cloudy and chilly again. I expect more of the same. For me, it looks like a trip to some in-laws for an Easter dinner. I don't enjoy these things but sometimes one must do it to keep everyone happy. Until next FOTD, take care, and don't eat too many eggs. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Squishy { ; time=0:00:59.21--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.12709385811560630/-1.926401018584589\ 00/835.0523/1/-12.5/4.0333292261607312e-012 params=-0.7/-1.9/-0.4/-6.5/0/525 float=y maxiter=3000 inside=0 outside=tdis periodicity=10 colors=000gc5ca4`_4XY3UW3QU2NS2JQ1CK1CI09K0BM4CO8E\ QCFSFGUJIWNJYRK_UMaYNcaOddQ`fRYgSVhTSjUOkVLlWInXFo\ YBpZ8r_5s`2tb7qcBndGkeKhfOegTbhX_i`XjeUkiRlmOmrLnv\ IozGnwHntInrImoJmmJmjKmgLleLlbMl`MlYNkVOkTOkQPkOPm\ `JnmDoz8jtDfnHbiMYcQUZUQTZLNbHIgDCk97oCCpFGpIKpKPp\ NTpQXpTaqVeqYiq`nqcrqevqgpjhkcieYk`RlVLmQEnL8mJAmI\ ClHElGGlFIkEKkDMjBOjAQj9Si8Ui7Wh6Yh5_h4`bCVYKPSSJN\ _DIg8NcBR`DWXG_UIcRKhNNlKPpHRoIUoIWnJYnJ_mKamKclLe\ lLgkMikMkjNmjNojNqZJpNGpBDp0ApWIUzP8nV9b`ASfBGlC5r\ DCsCJtCQuCWvCbwCixCpyCvzCtxEsvGqtIprKopMmnOlmPkkRi\ iThgVgeXecZda`c`aeY`fW_gTZhRYiOXjMWkJVlHUmETnCSo9R\ p7Qq9RqBRqCSqESqGSqHTqJTqKTrMUrOUrPVrRVrTVrUWrWWrX\ Ws_UtbSudQugPviNwlLxnJxqIysGzvEzxDyvHxtLwrPvpSunWu\ l_tjcshfrfjqdnqbqKs6Ot5Rt5Vt4Yt4at3dt3VbILLXB3kE5g\ H6dK7aM9ZPAWSBTVDQXEN_FKbHHeIEgJBJhKKeLKcLK`LKZMKW\ MKUMKRNKPNKNNQJSrj7ng6je5 } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Re: fractopia, Bill
by JackOfTradeZ 27 Mar '05

27 Mar '05

Hey Bill - those pics on your site are way cool! How you do that!? And where did you meet your girlfriend? Does she have any sisters? <g> JoTz

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from M. Buckley, Dublin, Happy Easter
by Maria Buckley 27 Mar '05

27 Mar '05

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FAC?
by gin.fonte＠comcast.net 27 Mar '05

27 Mar '05

Hello, I have just downloaded DOS Fractint onto my Windows XP computer, but am unable to open any files. Do you have a most basic FAC that helps with these preliminary problems? Thanks, Gin

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oops
by gin.fonte＠comcast.net 27 Mar '05

27 Mar '05

Ha ha. Sorry. FAQ!

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Re: Deep in the Valley
by JackOfTradeZ 26 Mar '05

26 Mar '05

Hey Jim - stop playing around with this e+06 and e+12 stuff. Go D.E.E.P. Try getting past e+13 if you can muster the patience. You may be surprised at what you find ... (I am going to post it all on my site when it's all done). As we say in SCUBA: "the deeper you go the better you feel ..." JoTz

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FOTD 26-03-05 (Deep Northeast [6])
by Jim Muth 26 Mar '05

26 Mar '05

FOTD -- March 26, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's listed render time of under 5 minutes is the time it takes for the image to calculate on my fastest machine, a P4-2300, which goes like lightning with the Mandel formula. On the old warhorse P200, the image takes almost 1 hour to finish. The image is another scene very deep in a valley, this time the valley of the period-4 bud on the northeast shoreline of the main bay. The 'mystic' point of this valley, where the two branches join at infinitesimal infinity, is 0.25,0.5. This valley, along with its mirror twin at -0.25,0.5, Seahorse Valley at -0.75, and Scepter Valley at -1.25, are the only valleys I know of with rational and therefore easy-to-find 'mystic points'. The limit of East Valley of the M-set lies at 0.25, and the limit of the East Valley of the largest midget is found at -1.75. But these 'east' valleys simply come to an end at these points. They have no opposite branches to join with. What we see so deep in today's valley is more of what we saw in Seahorse Valley -- lots of cut-off elements resembling sickle- shaped leaves with scalloped edges, and peanut-shaped holes surrounded by vast areas of chaos, which I call 'sand'. I could have brought some degree of order to these chaotic areas by rendering the image with the logmap in effect, but this would have reduced all but a tiny part of the image to areas of flat color. The coloring is more intense in today's image, but the image borders on a repeat, and this holds the rating to a 6. I named today's image "Deep Northeast". The name is a simple description of the scene's location. Depending on the computer, the render time could be anywhere from around 4 minutes to many hours. Regardless of the machine, the image may be seen nearly instantly by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Light rain in the afternoon and a temperature of only 46F 8C spoiled the cats' day Friday. They consoled themselves watching the squirrels from their shelf by the window. Today is starting no better. I expect the cats' day will be no better either. I'll finish the little bit of work, then see what I can find deep in another valley of the M-set. Hopefully, all the valleys will not be the same. The next FOTD will appear in 24 hours. Until then, take care, and speak softly but carry a big fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Deep_Northeast { ;time=0:04:51.83--SF6 on a P2300 reset=2004 type=mandel passes=1 center-mag=+0.24976756104200800/+0.500233788215223\ 60/2.485769e+009/1/9.99999919079729516/4.150422441\ 52757922e-006 params=0/0 float=y maxiter=2500000 bailout=9 inside=0 periodicity=10 colors=000z4Dz4Dz4Dz4Dz4Dz4Dz4Dz2Dz2Dy2Dx2Dv2Dt2Dr\ 2Dq2Do1Dn1Dl1Dk1Di1Dg1Df1Dd1Db0Da0D_0DY0DW0DV0DT0D\ R0DQ0DP0DN0DL0DL0DK0DI0DG0DF0DD0DB0D90D80D60D40D20\ D10B20D40F40F60G60G80I80I90K90KB0LB0LD1ND1NF1PF2PG\ 2QG2QI2RI4RK4TK4TL4VL6VN6WN6WP8YP8YQ8_Q8_R9aR9aT9b\ T9bR9aR9aR9aR9aR9_R9_R9_R9_R9YR9YR9YR9YR9WR9WR9WR9\ WR9VR9VR9VR9VR9TR9TR9TR9TR9RR9RR9RR9RR9RQ9QQ9QQ9QQ\ 9QQ9PQ9PQ9PQ9PQ9NQ9NQ9NQ9NQ9LQ9LQ9LQ9LQ9KQ9KQ9KQ9K\ Q9IQ9IQ9IQ9IQ9GQ9GQ9GQ9GQ9GPFFNIFLNFKQFIVFIYFGaDFf\ DDiDBnD9qD9tDBvFDvGFvIGvKGvKIvLKvNLvPLvQNvQPvRQvTQ\ vVRvVTvWVxYWx_WxaYxa_xbaxdaxfbxgdxgfxifxkgxlixlkxn\ kxolyqnyroyrqytqyvryxtyvvytxyryyqxyovyntylrykqzioz\ gnzflzdkzbizagz_fzYdzWbzVazT_zRYzRWzQVzQTzQRyQQxQP\ vPPvPQtPRrPTqPVoPWnNWnNYlN_kNaiNbgLdfLfdLfdLgbLiaL\ k_KlYKnWKnWKoVKqTKrRItQIvPIxNIxOGyRFzUDzZBzc9zh8zk\ 8zh8ze8zc8zZ8zU8zP8zK8zA8 } END PARAMETER FILE=========================================

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Re: [Fractint] just a reply. . . .
by Jim Muth 26 Mar '05

26 Mar '05

On Fri, 25 Mar 2005 at 16:35:15 David Lowenstein wrote: >So Look who's talking, Muth? I am fimiliar with the article found at: http://cryptome.org/fda102099.htm And I'm not talking. I'm now shaking my head in sympathy. >No one talks on a cell phone for 22 hours straight! This is unlikely, but what about those who live and work near cellular antennas? They are exposed to the RF radiation 24 hours a day. And there is a school near where I live that has an array of cellular antennas on its roof, only 15 feet above the students in the classroom below. >According to the FDA, there is no evidence saying cell phones >cause cancer. The article also gives no assurance that cell phones are safe, and recommends certain safety precautions such as keeping antennas away from the head and holding mobile phone use to a minimum. As for the results of experiments on test animals being applied to human beings, we do this all the time. This is why questionable substances are tested on animals instead of people. I have nothing against mobile telephones, which are indisputably very convenient. The object of my screed was the blatant media manipulation that we almost seem to enjoy. I mentioned the radiation from cell phones because it *might* be harmful, and no one appears concerned because the media, not wanting to place their advertising revenues in jeopardy, basically ignores the risk. Also, because of the extensive advertising by the mobile phone industry, these phones are becoming entertainment devices and status symbols, especially among children, who often use them as toys. I also doubt that the telephone companies, with their bottom lines at stake, are the best choice to investigate the possible dangers. How many years did the tobacco companies assure us that cigarettes are safe to smoke? Cell telephones are not going away, but their safety is in question, and they therefore should bear a warning such as that now found on cigarette packages. . . before it is too late. Finally, are you associated with a mobile phone company? :-) Now back to the fractals . . . Jim M.

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Re: Tony
by JackOfTradeZ 26 Mar '05

26 Mar '05

Tony - wondered what happened to you! Glad U back. Have you had any luck making fractal animations?? I sympathize with your employment woes; my profession has been hit just as hard. I'm glad I didn't switch careers to IT like I was thinking back in '99. As it is, I was unemployed for 10 months in 2003. It happens to other people too ... But there is a thundercloud in every silver lining <g>. I had the time to do much fractalizing and in fact accomplished some of my best work in that period. And as it will always happen, with effort, persistance and a bit of luck, you get back on your feet again and are actually better for the experience. I have left the miserable NorthEast and am now in God's beautiful Colorado! As for ultrafractal - Heaven forbid! We all know that REAL fractalnauts only use Fractint! Long live the Cult of Fractint! JoTz

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just a reply. The laboratory rats were bred to develop cancer so will get it anyway, even without cell phones!
by david lowenstein 26 Mar '05

26 Mar '05

http://cryptome.org/fda102099.htm A few animal studies, however, have suggested that low levels of RF could accelerate the development of cancer in laboratory animals. In one study, mice genetically altered to be predisposed to developing one type of cancer developed more than twice as many such cancers when they were exposed to RF energy compared to controls. There is much uncertainty among scientists about whether results obtained from animal studies apply to the use of mobile phones. First, it is uncertain how to apply the results obtained in rats and mice to humans. Second, many of the studies that showed increased tumor development used animals that had already been treated with cancer-causing chemicals, and other studies exposed the animals to the RF virtually continuously--up to 22 hours per day. So Look who's talking, Muth? No one talks on a cell phone for 22 hours straight! According to the FDA, there is no evidence saying cell phones cause cancer.

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FOTD 23-03-05 (Elliptical Thing [2])
by Jim Muth 25 Mar '05

25 Mar '05

FOTD -- March 23, 2005 (Rating 2) Fractal visionaries and enthusiasts: Did you ever have one of those days when nothing goes right? Well I had one of those days in Fractal Land on Tuesday. There I was, in the Elliptic forest, with great fractals all around me. I heard the muffled growls, I heard the brush rustle. A twig snapped! I took off in pursuit! The chase was desperately exciting. I was hot on the spoor of the beast. I saw the monster in the distance, I zoomed in, I bagged my prey. But then I looked closer at what I had caught -- today's pathetic Elliptic set, an image that could have been found with much less effort with the every-day Julia formula. Actually, the thing on the screen is neither a set nor a midget. It could perhaps be called a basin, or more likely, anything one wishes to call it. About halfway through the coloring I lost enthusiasm and gave up, leaving the interior of the figure a mish-mash of muddy and conflicting colors. The location of the scene is in the vicinity of a midget near the tip of the negative stem of the Mandelbrot set. Quite a bit of stretching and skewing was needed to bring the image to near proper proportions. When I gave up on the image, I named it "Elliptical Thing" without thinking. I rated the image at a sorry 2, and even that might be a bit generous. Luckily for all, the image renders in a very fast 1-1/2 minutes, so little time will be spent on a fractal that has so little to offer. Perhaps the easiest way to see the image is to download it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it waits for all the world to ridicule. The sunny afternoon and temperature of 55F 13C here at Fractal Central on Tuesday were fully appreciated by the cats, who spent several hours keeping the yard clear of other cats. Their day ended with the usual tuna, and they enjoyed a peaceful evening. But this morning is bringing heavy rain, which is due to con- tinue most of the day. What will the duo make of this. For me it's a little work and a search for a better fractal. If I find one, it will appear tomorrow. If I fail to find one, a worse fractal will appear. Until then, take care, and I'm not as discouraged as it might appear. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Elliptical_Thing { ; time=0:01:30.52--SF6 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new passes=1 center-mag=-0.00490057832247906/-1.985489038292866\ 00/6.113231e+010/0.004506/-178.57302509791967/89.5\ 0573364904918 params=0/90/2/0/1.3e-005/0/0/1.3e-005 float=y maxiter=10000 inside=255 logmap=56 symmetry=none periodicity=10 colors=000qefqffndckb`h`Ye_VbYT_WQYVNVTKSRHPPFMOCJ\ M9GK6EJ4FMBGPHHSOHTUJVVKWWLWXNXYOXZPX_RY`SYaTYbVZb\ WZcXZdZ_e__f`_gb`hc`id`jiboe`jaZeYX`UVWQTRMRMIPHEN\ CAM7CN8DN9ENAFOBHOBIOCJPDKPEMPENQFOQGPQHQRISRITRJU\ SKVSLXSLYTMZTN_TO`TOcUReVTgWVjXXlXZnY`qZbs_dv`eu_f\ uZgtZhtYitYjsXksXksWlrWmrVnqVoqUpqUppTqpTrpSsoStoR\ uoRumQtlPtkPtjOsiNshNsgMrfMreLrdKqcKqaJq`Jq_IpZHpY\ HpXGoWGoVFoUEnTEnSDnUEmRDnPDoNDoKDpICqGCqDCrBCs9Cs\ BErDFqFHqHIpIJoKLoMMnOOmPPmRQlTSkVTkWUjYWi_XiaZhb_\ gd`gfbfhceef_idemcjpbotatw`ytXrrTloPfmM`jIVhEPiALf\ BJdCIbDG`DFZEDXFCUGBSG9QH8OI6MJ5MH0KJ4JL7HNBGPEERH\ DTLBVOAXS8ZV7`Y5ba4dd3egV2yX4xY6wZ7v`9uaBtbCscEreG\ qfHpgJohKnjMmkOllPknRjoTipUhqWgsYftZeu`dw_gvadubbu\ c_tdYteWsgTrhRriOqjMsjLqkKplJolInmHmnGlnFjoEipDhpC\ gqBfrAer9cs8bt7at6`u5_v4Ww1Zv3av5dv6fu8iu9luBnuCmq\ FlmHkiJjeLp_fq`fqbfqcfqdf } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

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FOTD 25-03-05 (Very Deep in Seahorse Valley [7])
by Jim Muth 25 Mar '05

25 Mar '05

FOTD -- March 25, 2005 (Rating 7) Fractal visionaries and enthusiasts: I have finally become annoyed with the silliness I have been seeing on TV these past few days, and have decided it's time to spout off. Those who wish to avoid the resulting political blather should skip to the sixth paragraph, where the fractal stuff starts. We're all brainwashed. We're being manipulated by the media, and it has little to do with fractals. The media decides it's time for us to become excited about the death of the left-over body of a person almost none of us ever knew, whose mind died many years ago. We, of course, wanting to see ourselves as caring and politically-correct, become obediently excited, right on cue, about the non-event, even to the point of outrage, and begin bleating like the obedient flock of sheep we have become. One of the Fractal Central customers, who is an administrator in a local hospital, tells me that such unconscious but semi-awake bodies are released from their vegetative state several times every year at the institution. And when it happens, it is con- sidered barely worth a passing comment among the hospital staff, who consider such animated bodies already dead. The current fuss is totally a creation of the media and politicians, who are taking advantage of the public ignorance and gullibility. The real questions under discussion should be, 'what is conscious life, when does it start, and when does it end?' Such media-induced hysteria has become part of our modern life. It reaches a peak when media coverage causes us to worry about insignificant health threats such as SARS and bird flu, which have killed perhaps a few thousand, and forget the every-day type of influenza, which kills several millions around the world every year. It's good to be prepared for the worst, but let's get our list of diseases to worry about in proper order. At the same time that the media is raising unnecessary alarm about contagious diseases, it is ignoring serious and very real threats to health such as the overuse of cellular telephones, whose radiation again and again has been shown to cause damage to the brains of test animals. In our ignorance, we routinely use these instruments as we go about our every-day activities, and give them to our children to use as toys and entertainment devices, so they can be like all the other kids at their schools. Then we complete the plot by placing our cell-phone antennas on the roofs of our schools. Every time I hear someone in his ignorance tell me that mobile phones have never been shown to be harmful to humans, someone who cries that they are now a necessary part of the modern life style, I shake my head in sympathy. This is a person, I think to myself, who has become fully and hopelessly indoctrinated by the media and has joined the vast flock of obedient media- controlled sheep. Cellular phones should be for emergencies; we obedient sheep who watch the phone company ads on TV, have made them a life style. END POLITICS========================================= I could go on, but this is a fractal forum and we have a fractal of the day to discuss. I have been having little luck in my exploration of the Elliptic orientation of the Julibrot, so I have decided to take a break of a couple days to give myself more time to find something worthwhile. In the meantime, there will be no shortage of fractals. It is said that the answers to the secrets of the universe lie at the point -0.75 of the Mandelbrot set. This is the point where the two branches of Seahorse Valley come together. Even with the fastest super-computers, it would be impossible to see what lies at the point where the two branches actually join, for the point is at a kind of infinitesimal infinity. But we can come as close to the mystical point as we wish, and see the wonders that lie there. Today's scene lies only 0.00009 from the X-axis. It is as deep as I have yet gone into Seahorse Valley. It is not the limit, for the valley has no limit, but it is near the limit of what is practical with my current machine. At this depth the seahorses have disappeared and been replaced by pinched-off leaves with scalloped edges. Due to the extreme broadening of the bands that the logmap feature causes in images of high iteration, it has become nearly useless. Today's image was rendered with a simple straight-forward setting of zero, or one-band-per-iteration. I find myself wondering what lies even deeper in the valley. I will eventually go deeper of course, but I suspect that when I do, I will find nothing other than a more extreme version of today's scene, with features pinched off even tighter. I named the image "Very Deep in Seahorse Valley". The name is nothing more than a description of the location. I rated the image at a 7, more for the mathematical interest than the artistic merit. The iteration count of the large elements in the image is around 300,000 and the maxiter is 25,000,000, which is still insuffic- ient to close all the spurious holes. This makes the image an extremely slow one, which takes over 8 hours to finish on my machine. But fret not, for I have sent the image on ahead to Paul at the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> from where it may be conveniently downloaded. The rain held off here at Fractal Central on Thursday, the clouds actually broke, and the temperature reached 48F 9C. The cats were quite happy as they enjoyed an unexpected pleasant afternoon in the holly patch. Only a small treat of tuna was needed to end their day on the up side. But this morning, the clouds have moved back in, with rain forecast for this after- noon. I'll try to get the duo to take their outdoor time before the rain arrives. For me, it will be work before play. The next FOTD fractal will appear in 24 hours, give or take an hour or two. Until then, take care, and don't get brainwashed by a fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= VeryDeepInSeaVally { ; time=8:14:07.14--SF5 on a P200 reset=2004 type=mandel passes=1 center-mag=-0.74999999686431080/+0.000090001821412\ 78/8.89759e+010/1/-105.000076916183801/6.198188440\ 40109784e-005 params=0/0 float=y maxiter=25000000 bailout=9 inside=0 symmetry=none periodicity=10 colors=000VrbTobQlaOh`Le`Jb_G_ZBVYEXZHZZK`_Nb_Qd`T\ f`Yhacjailbkn_mpXopUqoUnlUkiHhf4ec6b`7_Y8XV9USARPB\ OMCPJEQGFSDGTAHU7IV4JT0FW1KZ1Oa2Sd2Wg2_j3dm3hp4ls4\ ps3vv4tu4rt4ps4nq4mp5ko5in5gl5ek5dj5bi6`g6Zf6Xe6Wd\ 6Ub6Sa7Q`7O_7NY7LX7JW7HV8FT8ES8CR8AQ88P87OBAODDOGG\ OIJOKLONOOPROSUOUXOWZNZaN`dNcgNejNglNjoNlrNouNqxNq\ zRnyUjyXey_axbXxeTxhOwkKwnFwqBvt6vw2vt4tr6rp8pm9nk\ BmiDkgEieGgbIe`KdZLbXN`UPZSQXQSWOUULWSJXQHZOF`NCaL\ AcJ8eH6fG6dJ6cL6bO6aQ6`S6_V6ZX6Y_6Xa6Wc6Vf6Uh6Tk6S\ m4Qq6Ro7Sm8Tl9UjAViCWgDWeEXdFYbGZaI__J`YKaXLaVMbUO\ cSPdQQePPfNOgMMhMKiNIjPGjRHiTIiVKhXMhZOg`QgbSfdTff\ VehXejZdl`dnbcpdcrfbthbvibxldwnewpcwmauj_sgYqdWoaU\ mZSkWQiTOgQMeNKcMJcNIcNHcNHcNHbOIaOIaOJaPJaPJdPKfQ\ KhQLkSLmULoWPnZUmaZldckghkkmjpoiznhwmgqlgmkfhjecid\ ZhdYgcZfb_ea_d``c``d_aeZafYbgYbhXciWcjVdkUdlUemTen\ SfoRfoRgnQhmPhlOikNikMjjL } END PARAMETER FILE=========================================

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FOTD 24-03-05 (Re-entry [6])
by Jim Muth 24 Mar '05

24 Mar '05

FOTD -- March 24, 2005 (Rating 6) Fractal visionaries and enthusiasts: When I opened my e-mail box this morning, I found a letter from some person in Nigeria, who claimed to be interested in buying 150 of my product from my store. The letter went on to ask if I could ship immediately and if I would accept a visa credit card as payment, and ended by requesting that I send a full description of 'my product'. My suspicions were raised when I suddenly realized that I have no store, and were confirmed when I realized that the person who sent the e-mail did not even know what my product is. I guess he wanted some of my FOTD fractals. Scamming must be the number one industry of Nigeria. Today's image shows an Elliptic midget lying on the negative stem of the Mandelbrot set, a short distance east of the largest midget. Its overall shape is very typical of Elliptic midgets in general. I named the image "Re-entry" when it reminded me of a space object disintegrating as it reenters earth's atmosphere. When I say that today's scene lies on the negative stem of the M-set, it must be remembered that in the Julibrot the negative stem is not the decorated straight line that appears in the M-set. It is a three-dimensional space with only a slight extension in the fourth dimension, which curves and twists in unimaginable ways through the broader four-dimensional space. I am not sure that today's image fully earns its rating of a 6, but I gave it that rating in an effort to recover from yesterday's abysmal performance. Today's FOTD is not only better than yesterday's, it is much faster, rendering in a matter of seconds. This is probably faster than the finished image can be downloaded from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy rain fell all day Wednesday here at Fractal Central, causing localized flooding and unhappy fractal cats. The un-official fractal temperature hovered around 41F 9C all day, while the un-official rain can filled with 2.5 inches, or 64mm of rainwater during the day. With sulky attitudes, the cats watched the day's weather from their shelf by the window. Ample tuna in the evening helped ease their disappointment however. Today is starting dry but cloudy and very chilly, with showers in the forecast. The cats might need more comfort before the day ends. My comfort will come when I find the perfect fractal. It might happen today or it might not happen for many googols of years. The challenge will be to know the perfect fractal when I find it. Tomorrow's fractal will not be perfect, but it will arrive for near certain in only 24 hours. Until then, take care, and could Fractint be turning into a cult program? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Re-entry { ; time=0:00:19.94--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=ident/flip center-mag=-1.61298847799078300/-0.499140172596339\ 50/1713910/0.009486/32.1906682894654494/-81.566890\ 9945544698 params=90/0/2/0/5e-008/0/0/0 float=y maxiter=1000 inside=0 logmap=42 periodicity=10 colors=000RPWTSZVVbXYfZ_i`bmbdqbfr`foZekWdgUccRb_P\ aWN`RK_NIZJFYFDXBBW7EV6HU6KT6MS5PR5SQ5UQ4XQ4_P4aP3\ dO3gO3iN2lN2oM2qM2sX6ue9woDxxGpoFhgE`_DTSCMKBNLANL\ AOMAOMAOMAPN9PN9PN9QO9QO9RP8RP8RP8SQ8SQ8SQ82hN3fL3\ eK3cJ3bI3aH4_G4ZF4XE4WD4VC7WGAWJDWMGXPJXSMXWPYZSYa\ VYdXYgRdaLkWGqRHmPHjNIgMIcKJ`JJYHKUGKREKODJNFJMGIL\ IIKJHJKHIMGHNGGPFFQFEREDTECUDBWDAXD9YLCXSEW_GVfIVe\ JTTVPNbfHixElvBnu8ps5rr3tq6or8jsAetCauFXvHSwJNxLJy\ KLtJNpJOlIQhIRdHT`GUXGWSFXOFZKE_GDaCDb8Cd4Ce0Gg3Jh\ 5Mi7Qj9TkBWlDZmFbnHeoJhpLkqNorPrsRutTxuVsqUonUjkUf\ hTaeTYbTU_TVYUVWUVUVVSVWQVWOWWMWWKWXIXXGXXEYXCYYAY\ Y8ZY6ZY4Z_8_aB`cEaeHbgLciOdjRelUfnYgp`hrcitfjuiksj\ hqjfpjcnjalkZkkXikUgkSfkPdlNblKalI_lFZlDXiCWgBUeAT\ c9Ra8QZ7OX6NV5LT4KR3JP2LS6NV9PXCR_GTbJVdMXgQZiT`lW\ bo_dqbftegvhcoi_iiWbjTXjPQkLKkHDlE7lH6kK5jN5iQ4hT4\ gW3fZ3ea2dd2cdLTdcIOJOQMS } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

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FOTD 22-03-05 (Forever Waffling [6])
by Jim Muth 22 Mar '05

22 Mar '05

FOTD -- March 22, 2005 (Rating 6) Fractal visionaries and enthusiasts: With today's image we leave the Rectangular orientation of the Julibrot and turn to the orientation I call the Elliptical, which is determined by the real(c) and imag(z) axes. I gave it this name because when the Julibrot is sliced through its origin in this direction, the resulting figure resembles an ellipse that has been squashed on one end and stretched on the other. The Elliptical orientation is completely perpendicular to the Oblate orientation and simply perpendicular to the remaining four orientations. The scenes found in it are as varied as those found in all other aspects of the Julibrot. I was about to name today's image "Forever Amber", but then I remembered a naughty novel with that name, and decided to protect the children. I named the image "Forever Waffling", which can be taken as a swipe at certain politicians who can't make up their minds, or as a plug for a particular type of breakfast food. The waffling scene is located in the part of the Julibrot connected with East Valley of the Mandelbrot set. A large degree of stretching and skewing was needed to bring it to a recognizable form. Most of the effect of solidity was achieved by rendering the image with the outside set to 'fmod' and the proximity set to 0.115, which produces the effect of overlapping bubbles. The brilliant sky-blue background is a result of a low proximity factor. It is not a true area of trapped points. If the proxim- ity, which appears at the bottom of the X screen, is increased, the amber elements will thicken and the blue background will fill in. If the value of the proximity continues to be raised, the image will quickly turn into a screen filled with a single flat color. In certain fractals, such as today's, the proximity is an important parameter. The image appears unusually brilliant, and I am not sure of the reason. Maybe this effect is peculiar to my particular monitor, which has at least 8 years of age on it but appears to be operating as good as it did on the day I unpacked it. Or maybe it is due to the coloring, on which I actually spent less than the normal amount of time. Regardless, the final result is an image that earns a slightly above average rating of 6. The render time of just under 8 minutes borders on unreasonable slowness. But relief for impatience is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a high temperature of 50F 10C and limited sun, Monday proved barely acceptable to the fractal cats at Fractal Central. They spent about 90 minutes in the yard, but were a bit upset about the marginal conditions. They cheered up when the tuna appeared however. Today is starting sunny, but it is quite chilly, and clouds are due to move in by afternoon. The cats had best take their outdoor time early. I have only a small amount of work to finish before I enter Fractal Land. The next glorious image will appear in 24 hours. Until then, take care, and is it possible for a universe to exist in which there is no potential Mandelbrot set? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Forever_Waffling { ; time=0:07:58.51--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new passes=1 center-mag=-0.78417915215484530/+0.250205105304999\ 00/7771140/1.89e-005/0.00515606886434218266/89.920\ 4269909497214 params=0/90/2/0/0.5/0/0/0 float=y maxiter=12000 proximity=0.115 outside=fmod logmap=yes periodicity=10 colors=000htzT_UV_UW`UY`UZ`V`aVaaVcbWdbWfcWgcWicXj\ dXldXmeXoeYpfYrfYreXsfYtgZthZui_uj`vj`vkawlbwmbxnc\ xncyodzpezqezrfzsgzsgzthzuizvizwjzwjzuhzsfzqezoczm\ azk`ziZzgYzeWzcUzaTz_RzYPzWOzUMzSLyQJyOHyMGyKEyJDv\ LEtMErOFpPFnRFlSGjUGhVHfXHbXGcYHdYHdYIeYIeYJfZJfZK\ gZKhZKhZLi_Li_Mj_Mj_Nk_Nl`Nl`Om`Om`Pn`PnaQoaQpaQpa\ RqaRqbSrbSrbTsbTpiZreWsbTtZQuWNvTKwPHxMEyIBzF8zC6z\ D6zE6zF6zG6zH6zI6zI7zJ7zK7zL7zM7zN7zN7zO7zP7zQ7zR7\ zS7zT7zT8zU8zV8zW8zX8zY8zZ8zZ8z_8z`8za8za8zd8x`8rW\ 8mR8gM8cH7XA9UJ8XL7_O6cQ5fT4iV3lX2mY3mZ4m_5m`6m`7n\ a7nb8nc9ncAndBneCofCofDogEohFoiGoiHpjHpkIplJplKpmL\ pnMqoMqoNqpOqqPqrQstRqrQpqPooOnnOmlNlkMkiLjhLifKhe\ JgcIebId`Hc_GbYFaXF`VE_UDZSCYRCXPBWOAXK7WM9VNAVOBU\ PCTQDTRFSSGSTHRUIQVJQWKPYMOZNO_ON`PNaQMbRLcTLdUKeV\ KfWJgXIiZIj_Hk`GlaGmbFncFoeEpfDqgDrhCsiBuiCtjDVREV\ RGWRHWSJXSKXSMYSNYTPYTQZT } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

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FOTD 21-03-05 (Fractal Trouble [5])
by Jim Muth 21 Mar '05

21 Mar '05

FOTD -- March 21, 2006 (Rating 5) Fractal visionaries and enthusiasts: Today's FOTD is the last in the current series of adventures in the Rectangular sets of the Z^2+C Julibrot. It is a scene in the vicinity of a midget rather deep on the north shoreline of East Valley, and as such, it displays all the characteristics of the area, including elements that are nearly cut-off and bits and pieces of elephants with curled trunks. An unusual amount of stretching and skewing were needed to bring the scene to a recognizable form. When I was doing the stretching, I had a momentary thought that the scene might be in trouble, which inspired the name "Fractal Trouble", and to some degree, proved to be true. Unfortunately, after all the stretching and skewing, I was left with an image that I could rate no higher than a 5. But a rating of 5 is an average fractal, and there is nothing normal about an average fractal. The midget itself does appear in the image, though it has been stretched into a narrow slit and is a bit hard to pick out without toggling in and out of color mode. The render time of 5 minutes may be reduced to one minute or so by downloading the finished GIF image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> On-and-off rain fell all day Sunday here at Fractal Central. Late in the afternoon one explosive clap of thunder ended the day with a bang, and sent the duo scurrying for cover. When they reappeared about 1/2 hour later, I offered them their daily treat of tuna, which gave them enough consolation to end the day on a peaceful note. Today is starting with sun. It looks like a better day on the way. For me it looks like an uneventful day, unless something unexpected turns up in the world of fractals, that is. The next FOTD will appear in 24 hours. Until then, take care, and keep searching. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Trouble { ; time=0:05:04.94--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=flip/ident passes=1 center-mag=+0.00000796644326786/-0.000000\ 01175049742/8.952438e+007/0.0002847/0.086835163495\ 9469293/89.9720082145064737 params=0/90/2/0/0.2533\ 9158986615/0.00033540298237/0.25339158986615/0.000\ 33540298237 float=y maxiter=8000 inside=0 periodicity=10 colors=000pSih_iaghUohMwgFzgKudPmbTd_YXYaOVfGTj8Rk\ CTlGVmKXnOZoS`pWbq_crcesggtkiuokvsmwwoxzpyvryrsymu\ zivzewz`yzXzzSzzOzzKzvLyrLunMqjMmeNiaNeYOaUOYPPULP\ QHQMDQIFRMHRPJRSKSVMSYOSaPTdRTgTTjUTmTRjRQhONcLKZI\ HUFFPCCK99F66AdCBM88KLMIJKHIJGHIFGHEFGDEFCDEBBCAAB\ 99A8897786E75J6fRAcW9aa9Zf9Xj8Ug8Sb8PZ7NV7LR7IN6GJ\ 6DG6BD58A5675lBGhAFeAEb9D_9CW8CT8BQ7AN79K68G68D57A\ 56745jHy_DjPAXE7JLOZCXSRXePUbNS_LQXJOUILRGJOEHMCFJ\ BIG9LD7OA5T7VYUZdXRjQJpJBvC7zV6uS6oP6iN5cK5YI5SF4O\ C4LA4I7zZqsVklSffO`_LWUHQNELHAFA7ADfSAXM8NG6DAACp8\ Ad78T56H48K47I47H46F46E46D45B45A459447446WFnSDhPCc\ MBZJAUL8PP7KT6FW5A_EBcBPh9Pm6PpESoHYlFXfEV_CRUAMN9\ IH7DA596YE5SC5MA4G84A6Mczdzo_siVlcRdYMYSHQMDJG8BAY\ ByWAuUAqS9mQ9iO8fM8bK7ZI7VGJREMPCPZASh8VrTYzY_z`bz\ ebzbaw_ZrXWmUThRQcONZLKWIHVEDSBAP77M45PGAPD8PA7LEE\ DOO5YY5gg5qmfpgblY_gTXcOU } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

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Re: Fractint Digest, Vol 25, Issue 9
by Vortex Swirling 21 Mar '05

21 Mar '05

The next paragraph is a Spoiler pertaining to the book Contact by Carl Sagan! Don't read it if you want to read the book! In the book Contact by Carl Sagan, Ellie discovered a pattern in the digits that comprise PI. http://math.cofc.edu/faculty/kasman/MATHFICT/mf55-spoiler.html There is also valid arguments why such patterns are strongly favored to exist. This makes the quest a little more difficult to judge what should and should not be in a natural number stream. I'm trying to imagine myself what pattern one might find in the mandelbrot which shouldn't be there or was placed there deliberately. Would it be the discovery of a phone number that when called would play a recording telling you all the knowledge of the universe? But not before requiring you to reverse the charges. ;) -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.7.4 - Release Date: 3/18/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.7.4 - Release Date: 3/18/2005

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FOTD 20-03-05 (Seahorse Swirls [6])
by Jim Muth 20 Mar '05

20 Mar '05

FOTD -- March 20, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's image slices the Julibrot in the area of Seahorse Valley in an orientation 5/6 of the way from the Rectangular toward the Julia. The image bears little resemblance to either the Mandel- brot or Julia aspects of the area, which is not surprising, as Seahorse Valley is a four-dimensional thing with more ways to be sliced than a cat has of finding trouble. The Seahorse Valley Julia set is not far off however. To see it appear almost magically, change the real(p1) parameter to 90. This is most interesting if the change is done incrementally. To see the valley itself, change both parts of (p1) to zero and rotate the image minus-90 degrees. I named the image "Seahorse Swirls" because of the prominent bluish swirls on both sides of the blue center stripe, which is actually the coming together of the two branches of Seahorse Valley as seen from the side. I rated the image an average 6. I could give it nothing higher because this kind of image has been done so many times that it has become hackneyed. The image boasts one good feature however -- it is very fast, making its variations very easy to do. And as almost always, the finished image is available for download and judging on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> I intended to take it easy on Saturday and that is what I did. I took it so easy that the day seemed only half as long as most days, and at the end of the day I was left thinking. It is amazing how fast time passes when one is not watching it pass. But what is time? Since we can partly control its apparent rate of passage, it must to some degree be a psychological creation, but if this is so, then space must also to some degree be a psychological creation. At this point, my team took the lead with a three-pointer and my thoughts turned to more immediate and important things. The fractal weather was quite pleasant on Saturday, with ample sun, gentle breezes, and a high temperature of 57.4F 14.1C as measured by the fractal digital thermometer. The cats, not worrying themselves with tenths of degrees, found the day plea- sant enough to pass the entire afternoon in the yard, keeping away the mean tomcat from up the hill. They were quite success- ful, for the other cat never showed up. Today is starting chilly and foggy, with rain in the area. I fear the good day will not be repeated. For me it looks like another slow day on the way. Maybe I'll solve the puzzle of time and space, more likely not. But in any case, the next FOTD will appear in all its glory in 24 hours. Check back to see the great event. Until then, take care, and don't waste spacetime. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Seahorse_Swirls { ; time=0:00:41.20--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-xy-zw-new function=flip/ident center-mag=0/0/1.131455/1/90/3.885780586188048e-016 params=75/90/2/0/0/0/-0.75/0 float=y maxiter=7500 inside=0 logmap=3 symmetry=xaxis periodicity=10 colors=000OHVPIUQJTRKSSLRUMQWNPYOO_PNaQMcRLeSKgTJi\ UIjVHkWGlXFmYEnZDo_Co`BpaApb9qc8rd7se6tf5ug7uh8vi8\ wj9xj9yj7zj4zj2yl3ym4xn5xp5wq6wr7vs8vu8uv9uwAuxAby\ ELzIOxHQvGStGUrFXpFZnE`lEbkDeiCggCieBkcBnaAp_ArY9t\ X9sQLrJWqCfp5qiBlbGfXFaVEXTDSRCTPBUNAULAUKAUMAUOAU\ QAURAVTAWVAXWAYYAZ_A_`A`b9ad8be7cg6ci5cj4ceAcaGmYM\ mURmQXmMbmIgmGfmEfmCemAem8dm6dm4cm3cm8YmDTmINzNIzS\ DzQFzPHzOJzNLzMNzLPzKRzJTzHVzGXzFZzE`zDbzCdzBfzAgz\ jezhbzf`zeZzcWzbUz`Sz_QzWPzTOzPOzMNzINzFMzCMzELzFL\ zHKzIKzKJzLJzMIzOIzPHzRHzSGzTGzFyzGtzGpzGlzHhzHdzH\ `zHXzIXzIWzJWzTJzXMzaPzeSzfUzgVzhXziYzj_zk`zlbzmcz\ nezofzphzqizrkzslziiz_fzQdz`TzaQzaOzaLzaJzaHzaEzaC\ zaAzuVztWztWzsXzsXzrYzrYzrYzqXzqXzqXzqWzqWzqWzqVzq\ VzqVzqUzqUzqUzcbzRjzErz1zz6uzBpzFkzKfzPazTXzYSzbNz\ fJzaLzYNzTPzPRzLTzRUzXVzbWzhXznXzoWzoWzL`zKZzKXzJU\ zJSzIQzHOzHLzGJzGHzFFzECz } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

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Wild Electric Dream
by Vortex Swirling 20 Mar '05

20 Mar '05

I kind of figured no one knows what I'm talking about. I wasn't aware a DVD was made about fractals. It turns out this is a remake of something made around 15 years ago. Still it might be good. 180 minutes. Its full name was Fractals: The Wild Electric Dream. Here it is on Amazon. http://snipurl.com/djd5 Perpetually backordered. You know, I can't find this thing anywhere on the web! One place actually lists it in stock is some phoney game site that takes everybody's money and never sends anything. -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.7.4 - Release Date: 3/18/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.7.4 - Release Date: 3/18/2005

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Re: Fractint Digest, Vol 25, Issue 9
by JackOfTradeZ 20 Mar '05

20 Mar '05

Vortex Swirling wrote: "I still have the fantasy that some place in a fractal we find the signature of the creator or some other cool undeniable artifact. (This is similar to the idea in the book Contact by Carl Sagan - its in there, not in the movie)." Exactly! Why do you think I spend so much time and effort on this? ...Chaos is God's language and Fractals are His fingerprints... Long Live the Cult of Fractint! JoTz

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Re: Tessellations
by Vortex Swirling 20 Mar '05

20 Mar '05

THIS is the future of fractal generation. If I was about 20 years younger I'd start a sourceforge FractGrid project today. I'd ask permission to use parts of fractint like the parser and so on, but mostly it would attract a new generation of Stone Soupers. This isn't a trivial undertaking either. It would require specialized experience in parallel distribution... and a nodal network similar to bittorrent. If you consider a fractal image takes a day, if there was a way to split that up between even 100 internet users it might be feasible to get the image done in less than an hour. Start thinking big, 10,000 users, it would be so cool. -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.7.4 - Release Date: 3/18/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.7.4 - Release Date: 3/18/2005

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Re: Tessellations
by Vortex Swirling 19 Mar '05

19 Mar '05

JOT, I just want to say how incredible your animations are. I've been following your Universe series and its quite fascinating. Even with this I still can't comprehend how far this thing goes. I still have the fantasy that some place in a fractal we find the signature of the creator or some other cool undeniable artifact. (This is similar to the idea in the book Contact by Carl Sagan - its in there, not in the movie). I don't think I could reorganize the fractint code myself. If I had the money, I'd higher some good programmers to reorganize the fractint code such that the calculation part was completely separate from the user interface. That would free it up to be able to be able to run on any platform (except probably for dos). I would place a network layer into the mix so that you could use other fractint engines running on the grid to produce your image. And in fact I would rename the program FractGrid. All FractGrid users would be sharing their idle computer cycles. And it would still be free. This is probably the natural evolution anyway, I just may be several years ahead of myself. Who wants to wait for Moores law? Which isn't working so well with computer cycles anyway... The 18 month doubling says that an image that takes an hour now, should take 15 minutes in computers made 3 years apart. I don't see any such improvements. -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.7.3 - Release Date: 3/15/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.7.3 - Release Date: 3/15/2005

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FOTD 19-03-05 (Golden Arches [7])
by Jim Muth 19 Mar '05

19 Mar '05

FOTD -- March 19, 2005 (Rating 7) Fractal visionaries and enthusiasts: When I first saw today's moody atmospheric scene, which lies in the Rectangular orientation of the Julibrot, I considered giving it a poetic name such as "Blue Bayou" or "Transfigured Night", or even something bombastic such as "Ripples of Heavenly Peace". But then I turned, glanced out the side window, and saw in the distance the familiar golden arches that mark the location of the local fast-food emporium. When I turned again to the screen I saw the arches there also. I immediately got hungry, named the image "Golden Arches", and hurried out to pick up a couple cheeseburgers and a bag of fries. (Unfortunately for the store, I did not buy a soda, which is where they earn most of their profit.) Actually, the image reminds me of the 'lake' transformation, that makes fractals look as though they were half submerged in a lake and being reflected off the rippling surface. What we are seeing however is a true part of the Z^2+C Julibrot. The only special effect is that the scene has been stretched in the vertical direction. The horizontal stripes are the ever-smaller buds lining the valley leading to the larger period-6 bud on the northeast shoreline of the main bay of the Mandelbrot set. The golden arch is a different view of the debris that obscures the tiny buds as the imaginary part of initial Z of the Mandelbrot view of the area is changed from zero. Today's image is an improvement over yesterday's effort, but its rating of a 7 leaves room for more improvement. Two Rectangular images remain to be posted. That gives me two chances to do better. As in real life, success is never guaranteed, but it will be interesting to see how close I come. Today's image is a rather slow one that takes almost 15 minutes to render on my machine. But relief may be found on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> from where the image may quickly be downloaded. The temperature reached a high of 59F 15C here at Fractal Central on Friday. The wind was light, the sun was bright, and the fractal cats were happy. They wasted over three hours lurking in the thicket, watching for something that never came. Only a small treat of tuna was needed to end their day happily. Today is starting with some sun, and it is mild again, but rain is due to arrive later this afternoon, hopefully after the duo have finished their outing. For me it looks like an average day. The work is light, so I'll probably spend some time watching the games on TV before entering Fractal Land. The next FOTD will appear in 24 hours. Until then, take care, and there's a long time to come before entropy wins. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Golden_Arches { ; time=0:14:16.18--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=flip/ident passes=1 center-mag=0/-0.00537482249257776/131.833\ 9/0.01495 params=0/90/2/0/0/0/0.3750255321/0.21770\ 67886 float=y maxiter=6450 inside=0 logmap=70 symmetry=yaxis periodicity=10 colors=000nggnfgnfgnfgnegnegndgndgochochochobhobho\ ahoaho`ho`hmXho`hpchqghrjhsnhtqhuuhxziwyhvxhvxhuwh\ twgtvgsugsugrtgqtfqsfpsfprfoqfnqenpempeloelodkndkm\ djmdildilchkchkcgjcficfibehbehbdgbcfbcfaceaceacdac\ d`cc`cc`cc`cc`cc_cc_cc_cc_cc_ccZcbZcbZcaZcaYc`Yc_Y\ c_YcZYcZXcZXcZXcZXcZXcZWcZWcZWcZWcZWcZVcZVcZVcZVcZ\ UcZUcZUcZUcZUcZTcZTcZTcZTcZTcZScZScZScZScZRcZScZSc\ ZScZScZScZScZScZScZScZScZScZScZScZScZScZScZRcZScZS\ cZTcZTcZUcZUcZUcZVcZVcZWcZWcZWcZXcZXcZYc_Yc_ZcZZbZ\ ZaZ_`Y__Y`ZY`YY`XXaWXaVXbUWbTWcSWcRVcQVdPVdOVeNVeM\ VeLVdKVcJVcIVbHVbGVaFVaEV`DU`CT_BS_ARcAQcBPcCOcCNc\ DMcDLcEKcFJcFIcGHcGGcHFcIEcIDcJCcJBZKAZL9ZL8ZM7ZN6\ ZM7ZM7ZM7ZM7ZM7ZM7ZM7ZM7ZM7ZM7ZM6ZM6ZM6ZL7ZL7ZL7ZL\ 7ZL7ZL7ZL7ZL7ZL7ZL7ZL7ZL7ZL7ZK8ZK8ZK8ZK8ZK8ZK8ZK8_\ K8_K8`K8`K8aK8aK8bJ9bJ9cJ9dJ9eJ9fJ9gJ9hJ9iJ9jJ9kJ9\ lJ9mJ9mIAmIAmIAmIAmIAmIAm } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

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FOTD 18-03-05 (False Seahorse [5])
by Jim Muth 18 Mar '05

18 Mar '05

FOTD -- March 18, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's image looks like just another trip to one of the Julia sets associated with Seahorse Valley. But look again! It is not even a Julia set. Real Julia sets are never filled with horizontal stripes such as those that fill the interior of the object in today's scene. Today's image shows a Rectangular set located off to the side of the Seahorse Valley of a tiny midget which is located on the negative stem of the M-set, near the point where the stem joins the main body of the Set. I named the image "False Seahorse". I gave it this name because at first glance it appears to be a Julia set, but closer examina- tion will reveal that it contains features that never appear in true Julia sets. I am not all that pleased with the coloring, which for some reason never came alive as I had hoped. Something more is needed to contrast with the hazy blue color of the interior of the Rectangular set. The rating of an average 5 reflects my lack of satisfaction. The rendering of today's image starts off fast enough, reaching 90-percent completion in the first couple minutes, but it slows to a near halt when it reaches the open stripe around the X-axis, and takes over 1/2 hour to finish. The frustration may be avoided by downloading the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Well, today's effort might have fallen a bit short, but I have three more chances to produce a really outstanding Rectangular image before we move on to the Elliptic orientation. The clouds broke in mid-afternoon here at Fractal Central on Thursday, in just enough time for the cats to enjoy an hour in the sun on the porch. The hour must have been enough, for when the sun sank behind the trees, they came inside satisfied and ready for tuna. Today is starting sunny and it will likely be warmer. The duo should be happy. I have a little more than the usual amount of work stuff to put behind me before I will be happy, but the work will be finished and the next FOTD will appear on schedule in 24 hours. Until then, take care, and be yourself. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= False_Seahorse { ; time=0:33:24.06--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=flip/ident passes=1 center-mag=-0.00518053262314617/0/161638.\ 3/0.05557 params=0/90/2/0/0/0/-1.401913873518217/0 float=y maxiter=150000 inside=0 logmap=-230 symmetry=xaxis periodicity=10 colors=000R23S43T63V86WA9XCCZEF`GIbJLcLNgSQiYTmdWn\ jZrqastcpr`mqYjoVgnSelPbkM_iKXgHUeEScAPaKM_UJYcHWm\ TVmdLmcNmbPobRqaTtaUw`Xz`Yz_`z_azZczZezYfzYgz_fzae\ zcdzdczfbzhazi`zgZzfYzeXzcWzbVzaTz_SzZRzYQzXPzZOz_\ Oz`OzbOzcNzdNzeMzgMzhLziLzkKzlKzmKznKzcKzTKzJKzKKz\ LKzMKzJKzHKzFKzDKzBKz9Kz7KzBKzEKzIKzLKzPKzSKzWKzZK\ zbKzeKziKzlKzoKzqLzsMzSNzQOzPPzNQzMRzKSzJTzRUzYUzd\ UzdUzdUzdUzdUzdUzdUzdUzdUzdUzdUzPUzAUz9Uz8Uz8Uz7Uz\ 6Uz6Uz5Uz4Uz4Uz3Uz2Uz2Uz5Uz8UzBUzEUzHUzKUzNUzQUzTU\ zWVzZWzaXzdYzcZzc_zb`zbazabzaczadz`ez`fz_gz_hz_izX\ jzVkzTlzQmzOnzMozKpzHqzFrzDszBtz8uz6vz4wz2xzAyzHzz\ OzzVzzazzhzzozzmzzkzzizzgzzezzczzazz_zzYzzWzzUzzSz\ zPzzNzzLzzJzzHzzFzzDzzBzzEzzHzzKzzNzzPzzSzzVzzYzz`\ zzbzzezzhzzkzzmzzizzkzzmzzozzpzzqzzrzzszztzzuzzvzz\ wzzxzzyzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

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Wild Electric Dream
by Vortex Swirling 17 Mar '05

17 Mar '05

Has anyone seens this DVD? Is it worth acquiring? -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.7.3 - Release Date: 3/15/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.7.3 - Release Date: 3/15/2005

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Re: David Dollevoet web site
by JackOfTradeZ 17 Mar '05

17 Mar '05

Good luck Dave! I was there once - just put up my 1st site ... 4 years ago. Advise: put up a few thumbnail pics for your files / galleries to get attention; most people have broadband now and load time is not a factor. Spice it up a little.

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FOTD 17-03-05 (Alien Flowers [7])
by Jim Muth 17 Mar '05

17 Mar '05

FOTD -- March 17, 2005 (Rating 7) Fractal visionaries and enthusiasts: Happy Saint Patrick's Day fractal fanatics. In yesterday's FOTD discussion I remarked that today's image would be horrendously slow. I am not quite sure why I made that remark. Today's image renders in under 50 minutes even on my tired old clunker. This is not blazingly fast, but it is certainly not horrendously slow either, especially considering that in the past I have posted FOTD images that take over a full day to complete. Today's image is one I came upon and passed by while searching for a fractal of the variety seen in yesterday's image. The scene is located in the vicinity of the large midget on the negative X-axis of the Mandelbrot set. Since the Julibrot is four-dimensional, it is futile to try to describe the exact relation of today's image to the midget itself, other than to state that, despite its Julia-like appearance, the image is actually sliced in the Rectangular direction. The rating of a 7 is based largely on the coloring, to which I gave more than the usual amount of effort. It is now two days after the time I first saw the image however, and the picture is starting to look more like a 6 than a 7, but I must go with my first impression, so the rating of 7 will remain. The image reminds me of a cluster of flowers, such as might be seen on another planet lying in some remote corner of the galaxy. I named it "Alien Flowers". The fractal bouquet may be enjoyed by running the included para- meter file and waiting a half-hour or so, or by giving Paul a chance to run the file and post the completed image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Despair not for the conclusion of the philosophy. It will eventually appear. The problem is that I have read some new material that has caused me to rethink several of my long-held conclusions about the nature of the self, and I must now re- codify my doctrine. And yes, I realize that I used the word 'doctrine'. Since I will be able to offer no proof of my eventual claims, they will fall into the category of a doctrine, to be believed or more likely rejected as the reader sees fit. Hopefully, all this will happen within a week, but no promise is given. The afternoon turned cloudy and chilly here at Fractal Central on Wednesday. The cats turned sulky when the sun vanished, and demanded their tuna before the official time for tuna arrived. But by evening, they had forgotten their bad afternoon and settled for a long sleep. Today is starting with about the same weather. I hope the cats' day is better, but fear a repeat. With only a little real work to put behind me, I expect my day to be acceptable. The next FOTD is due in 24 hours. There is a 99-3/4 percent chance it will appear at that time. Until that golden moment arrives, take care, and if an atom is a fractal, what then is a molecule of water, which is composed of three fractals? (Maybe an atom is not a fractal; maybe a molecule of water is a fractal.) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Alien_Flowers { ; time=0:49:57.50--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=flip/ident passes=1 center-mag=-0.11570559494539450/+0.011693\ 05771904837/1734752/0.7588/41.8961562691883813/38.\ 6021046066249 params=0/90/2/0/0/0/-1.7541/0 float=y maxiter=40000 inside=bof61 logmap=57 periodicity=10 colors=000BCFCEHDGJFINGKRIMUJOYLQaMSeOUiOUmPWlPXlP\ ZkP_kPakQbjQcjQejQfiQhiQiiRjhRlhRmgRogRpgSqfSsfStf\ SveSweUwdSxeRxeQxfPxfOxfNxgLxgKxhJxhIyhHyiGyiEyjDy\ jCyjBykAyk5zm9zkDzjGzhKzgOzfRzhVzjZzlaznezpizrlzrm\ zrnzrozrpzrqzrqzrqzrqzrqzrqzrqzrqzrqzrqzrqzrqzrqzr\ qzrqzrqzrqzrqzrqzrqzrqzrqzrqzrqzrqzrqzrqzrqzrhxXhx\ YgxZgw_fw`fwaewbewcdvddvecvfcvgCubcvhasg`qf_oeZmdY\ kcXibWgaVd`Ub_T`ZSZYRXXQVWPTVOQUNOTMMSLKRKIQJGPIEO\ MIPQMQUQRXUS`YTdaUheVzXAkhWPzvRvsTsqVpnXmlZjikQveZ\ n_ggUp_QzUPyTPwSPuRPsQPqPOoOOmNOkMOiLOgKOeJNbJN`IN\ ZHNXGNVFNTEMRDMPCMNBMLAMJ9II7KH8MH9NGAPGBQFCSFDTEE\ VEFWDGYDHZCI`CJaBKcBLdAMfANg9Oi9Pj8Ql8Rl5Om7Qm8Rm9\ TmAUmBWmDXmEZmF_mGamHbmIdnKenLgnMhnNjnOknQmnRnnSpn\ TqnUsoUwnVtmVqlWokWljXjiXghYegYbfY_eZYdZVc_Tb_Qa`O\ ``L_`Jbhj`fk_dkZclYalX`mWZmVYnUWnSVoRToQSpPQpOPqNN\ qMMrLKrKJrpSWnUZmWakYdj_g } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

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Re: [Fractint] FOTD 14-03-05 (Fêtes [4])
by Vortex Swirling 16 Mar '05

16 Mar '05

Paul, No. No such luck. I get the digest, so in order to reply to the list before I get that I just cut and paste the subject line from the list on the html page. My digest is one blob so I'd have to do that anyway, but for the record, what came in on the digest was the correct symbol (Eudora seems to work). Since I cut and pasted form the web page, I got the ? symbol instead since that is what is being displayed by IE. I tried the same page in FireFox which I have as a secondary browser and it shows up as ? as well. I replace the ? with Alt 136 here in this subject line. Now lets see what gets confused... -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.7.3 - Release Date: 3/15/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.7.3 - Release Date: 3/15/2005

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FOTD 16-03-05 (Rectangular Julia [4])
by Jim Muth 16 Mar '05

16 Mar '05

FOTD -- March 16, 2005 (Rating 4) Fractal visionaries and enthusiasts: The figure in today's image does not resemble a midget Mandel- brot set. Nor does it resemble a midget Julia set. It is some- thing entirely different -- a midget Rectangular set -- and it looks like nothing that could appear in the more conventional Mandelbrot or Julia fractals. On the surface, today's image suggests a midget Julia set, but Julia midgets are always symmetrical, and the thing in today's image is certainly not symmetrical. Its left side is entirely different from its right side. The left side is filled in, while the right side is open. And what about those brilliant straight elements in the background? Such straight elements never appear in Julia or Mandelbrot fractals. They appear only in certain odd slices between the two orientations. They are the give-away that we are in an odd orientation of the Julibrot. The location of today's scene is the vicinity of the northeast shoreline of the main bay of the large midget on the negative stem of the Mandelbrot set. It is located on the imag(z) axis, some distance from the actual Mandelbrot set, however. Some rotation and stretching was needed to bring the elements of today's scene to a more familiar proportion. I did no skewing, but the effect of the rotation, combined with the stretching, was to skew, or rather unskew, the image. The name "Rectangular Julia" is a simple description. The rating of a 4 is about what the image deserves. Such scenes have appeared numerous times in previous FOTD fractals, and the coloring is merely average. The render time of around 8 minutes is slightly slow, but com- pared to the horrendously slow image that will appear tomorrow, it is as fast as light. Luckily, relief is, and will be, at hand on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the image has been posted, completed and ready for download. A sunny but chilly 48F 9C day on Tuesday here at Fractal Central limited the cats' outdoor time to under one hour, but in that time they had enough excitement for an entire day. While they were resting in the holly thicket, the tough gray-and-white cat from up the hill intruded in the yard, and it took immediate loud action by both Thomas and Tippy to chase him back where he belongs. When they came inside, I rewarded them with extra tuna and a bit of cheddar cheese. Today is starting partly cloudy and chilly again. We could be in for a repeat. For me, it looks like just another in an unending string of similar days. But this does not mean boredom. How could one be bored in a world composed of the fractals that we call atoms? The next FOTD will appear in 24 or so hours. Until then, take care, and relax. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Rectangular_Julia { ; time=0:07:54.89--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=flip/ident passes=1 center-mag=-0.10991105963559750/+0.006420\ 75384452202/11016.77/0.6894/-138.7784/65.942449468\ 6845151 params=0/90/2/0/0/0/-1.748/0 float=y maxiter=16000 inside=0 logmap=30 periodicity=10 colors=000KRNKRLKSJKTHKUFKVDKWBKW9KX7KY5KZ3K_1K_0K\ `1K`1L`1L`2M`2M`2N`2N`3O`3Oa3Pa3Pa4Qa4Qa4Ra4Ra5Sa5\ Sa5Tb5Tb6Tb6Ub6Ub6Vb7Vb7Wb7Wb7Xc8Yc8Zc8_c9`c9ac9bc\ 9ccAdcAedAfdAgdBhdBidBjdBkdCldCmdCmeCmeDmeDmeDmeDm\ eEmeEmeEmeEmdDmdDmcDmcDmbDmbDmbDmaDmaDm`Dm`Dm_Dm_D\ m_DmZDmZDmYDmYDmYDmXDmXDmWDmWDmVDmVDmVDmUDmUDmTDmT\ DmTDmSDmSDmRDmRDmQDmQDmQDmPDmPDmODmODmNDmNDmNDmMDm\ MDmLDmLDmLDmKDmKDmJDmJDmIDmIDmIDmHDmHDmGDmGDmGDmFD\ mFDmEDmEDmDDmDDnDDnCDnCDoBDoBDoBDnCEnCEnCFnDFnDFnD\ GnDGnEGnEHnFHnGInHInIInJJnKJnLJnMKnNKoOLnPKnQJnRIn\ SHnTGnUFnVEmWEmXDmYCmZBm_Am`9ma8mb7lc7lc6lc5lc4lc3\ lc2lc1lc1kc3kc4kc5kc6kc7kc8kc9kcAkczkczkczkczkczjc\ zjczjczjczjdzjezjfzjgzjhzjizjjzjkzjlzjmzinziozipzi\ qzirziszitziuzivziwzixziyzizzizzhzzhzzhzzhzzhzzhzz\ hzzhzzhzzhzzhzzhzzhzzizzhzzhzzgzzgzzfzzfzzfzzezzez\ zdzzdzzczzczzczzbzzbzzazz } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

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Re: [Fractint] FOTD 14-03-05 (F?tes [4])
by Vortex Swirling 16 Mar '05

16 Mar '05

It just doesn't display in IE. I use Maxthon which is built on IE. IE is the culprate! -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.7.3 - Release Date: 3/15/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.7.3 - Release Date: 3/15/2005

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Re: [Fractint] FOTD 14-03-05
by Vortex Swirling 16 Mar '05

16 Mar '05

I was doing it with Pastengo. Very strange. It complains terribly when running directly from Pastengo. But from within Fractint, if you select the par file inside pastengo.par it works quite nicely. Fractint displays an "omega" symbol in place of the ê in that file. -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.7.3 - Release Date: 3/15/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.7.3 - Release Date: 3/15/2005

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Re: [Fractint] FOTD 14-03-05
by Vortex Swirling 16 Mar '05

16 Mar '05

The problem is fetes has an e with a hat on it. I can't even type it, probably with a special key sequence I could. Anyway, fractint has a real problem with that. Just try making a par file with the code and see what it does. I'm thinking Jim must be checking to see if we are awake! -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.7.2 - Release Date: 3/11/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.7.2 - Release Date: 3/11/2005

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FOTD 15-03-05 (Elephant Bell [5])
by Jim Muth 16 Mar '05

16 Mar '05

FOTD -- March 15, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today is the ides of March. With today's image, we move on to the Rectangular orientation of the Z^2+C Julibrot. The Oblate and Parabolic slices require that the 3-D Julibrot section be oriented in our space with the real(z) axis perpendicular to the Mandelbrot set on the screen. The Rectangular and Elliptic orientations require the imag(z) axis of the Julibrot to be perpendicular to the screen. The Rectangular slices are then the view from left or right; the Elliptic slices are the view from above or below. Today's image is a scene with Rectangular orientation, located in Elephant Valley, which is the prominent valley on the east side of the Mandelbrot set. Elephants are everywhere in this area, and they can be found in nearly every orientation through the Julibrot. By contrast, the Mandelbrot features such as buds and midgets can be found in only a few of the Mandelbrot-orien- ted slices. (This is not strictly true, but we'll ignore the exception for now.) Instead of all facing in the same direction, the elephants in today's image are facing each other, trunk to trunk, and appear to be stomping on a bell. At least, this is what I saw when I was searching for a name for the image. The name "Elephant Bell" reflects what I imagined in the scene. Elephants might be large, but they are not all that unusual in the world of fractals. As a result, I could rate today's image no higher than a perfectly average 5. At nearly 8-1/2 minutes, the render time of the parameter file is within reason, but the download from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> is far more convenient. Monday was sunny but chilly here at Fractal Central. The fractal duo managed nearly a half-hour in the holly thicket, but repeated chilly gusts of wind soon drove them indoors, where they satisfied themselves with an extra treat of tuna. Today is starting the same. I expect pretty much the same reaction from the duo. For me it's more of the usual. The next FOTD will appear in 24 or so hours. Until then, take care, and where is Alice's looking glass? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Elephant_Bell { ; time=0:08:23.017-SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=flip/ident passes=t center-mag=-0.10158781095461710/-0.001681\ 38469062141/2246.428/0.001052 params=0/90/2/0/0/0/\ 0.26/0 float=y maxiter=35000 inside=0 logmap=31 symmetry=none periodicity=10 colors=0000cS0eR0fQ0gP0hO0iN0jM1kL3lK4mJ5nI6oH7pG8\ qF9rEAsDBtCCsCDrBEqBFpBFoBGnBHmBHlBIkBJjAKiAKhALgA\ MfAMeANdAOcAObAJa9F`8B_77Z63Y55XA6WF8VJ9UOBTTCSXDR\ VEQTEPSFQQFSPGUNGVMHXKIZII`HJaFJcEKeCKfBSYIZQPeHWl\ 9bs1hrD`qPUp_NokGov9krFhoKelPbiU_f_XcdU`iRYnQVkPSi\ PQgONeNKbNI`MFZLCXLAVMDWMGXMIXMLYMOYMQZMTZNW_NY_N`\ `Nc`NeaNhaNkbNmbBZa0La4O_7RZAUYEXWH_VKbUNeTRhRUkQX\ nP_pOboLfoJioHdT``7ca8ca8ca8ca8ca8ca8ca8ca8ca8ca8c\ a9ca9ca9caAcaBcbDccEcdFceGcfHcgIchJciKcjLclManO_pQ\ YrSWtUUuVSvUQwSOwQMvOKuLIsJGrGEpECnCAl98j78h48g28f\ 08c4B`7EYAHVDKSHNPKQMNTJQWGUZDXaA_d8bg7ci7dj7ek6fl\ 6gm6hn6io5jp5kq5mr4os4qt4su4uv3ww3zx3zy3zzPzkizXjz\ _kzakzclzelzgmzitzomzkfzg_zdUz`NzYGzUAzRFzSEzTDzVC\ zWCzXBzZAz_9z`8zb7zc7zdDzgJziPzlVznTzoSzpRzpQzqPzq\ NzrMzrLzsKzsJztIztHzrHzqGzoGznGzlFzkFzjEzhEzgEzeDz\ dDzbDzaCz`CzZAzMAzNAzOAzP } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

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Re: Tessellations
by JackOfTradeZ 16 Mar '05

16 Mar '05

If anyone is interested, here are 2 animations of Jim Muth's tessellation fractal, which was posted here recently. The following direct link will take you rite to these pretties: http://www.sonic.net/~jot/ufvp.html#tess BTW, all this recent talk of Warp-10 intrigues me. I remember from my old trekkie days the formula for "velocity" was C * e ^ w ; the speed of lite times the natural log raised to the power of the warp. Thus Warp-10 is about 22,000 times the speed of lite, which is serious cruisin' but technically not infinite; it would get you across the galaxy in about 5 years, excluding relativistic effects. I do recall one ep from the original series where the "Orion" creatures were trying to disrupt some interstellar diplomatic conference or something. They buzzed the Enterprise at Warp-10. The explanation given was that since they were on a "suicide mission" and "never intended to return", they could use "100% energy" and achieve the "impossible" speed of Warp-10. I never understood that reasoning ... Long Live the Cult of Fractint! JoTz

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Re: [Fractint] FOTD 11-03-05 (Peaches and Cream [6])
by Jim Muth 16 Mar '05

16 Mar '05

At 08:36 PM 3/15/05 -0500, Vortex S. wrote: >I noticed you say you stretched and skewed >this image. As in computer graphics where we >can stretch and skew in place of rotation, >isn't there a way you could have rotated to >that image instead? The skewing could be eliminated. Rotation and stretching would still be necessary. FOTD in 11 hrs. 53 mins. Jim M.

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Re: [Fractint] FOTD 14-03-05
by Jim Muth 16 Mar '05

16 Mar '05

At 08:22 PM 3/15/05 -0500, Vortex S. wrote: >The problem is fetes has an e with a hat on >it. I can't even type it, probably with a >special key sequence I could. Yes. It is character No. 136 >Anyway, fractint has a real problem with that. >Just try making a par file with the code and >see what it does. On my machine, Fractint interprets character No. 136 as the Greek Omega, but the parameter file runs as it should. >I'm thinking Jim must be checking to see if >we are awake! Yes. I was rather wondering whether the ê (with a circumflex accent) would cause a problem. Apaprently, it did. FOTD in 12 hours. Jim M.

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FOTD 11-03-05 (Peaches and Cream [6])
by Vortex Swirling 16 Mar '05

16 Mar '05

I noticed you say you stretched and skewed this image. As in computer graphics where we can stretch and skew in place of rotation, isn't there a way you could have rotated to that image instead? -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.7.2 - Release Date: 3/11/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.7.2 - Release Date: 3/11/2005

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Fractal web site
by David Dollevoet 15 Mar '05

15 Mar '05

Greetings, Finally ... my modest fractal web page debuts. http://www.djd-fractal.com - Fractint generated. - Formula and parameter files downloadable. - Monthly updates. David Dollevoet

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FOTD 14-03-05 (Fêtes [4])
by Jim Muth 14 Mar '05

14 Mar '05

FOTD -- March 14, 2005 (Rating 4) Fractal visionaries and enthusiasts: I was very successful at taking it easy on Sunday. In fact, I took it so easy that I had to break out a 2-year-old fractal study as today's FOTD. I can tell from the parameters that it is a Parabolic scene located in the vicinity of the period-8 bud on the northeast shoreline of the Mandelbrot set. The image has a very jovial, festive appearance. It could almost be a picture of the clutter lying on the pavement after a festive parade has passed by. I named it "Fêtes", which is the French word for 'festivals'. I chose the French word because it has a more artistic sound. Since the image is an old one, I could rate it no higher than a 4, but it is still quite interesting to see how such a familiar area of the M-set appears when seen from the Parabolic direction. With its render time of around 7 minutes, the parameter file is somewhat slow. The risk of upset stomach may be avoided by downloading the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The clouds slowly broke up during the day here at Fractal Central on Sunday. By late afternoon the temperature had reached 46F 8C, and the fractal cats had enjoyed over two hours in the brush. When the came inside, they were so content that they almost forgot their tuna. Today is starting sunny but chilly. I expect the duo will manage to sneak in a pleasant afternoon. For me the day looks uneventful. Unless the world ends, the next FOTD will appear in 24 hours. If the world does end, don't worry about it. Until next FOTD, take care, and everything that has a beginning in time must have an ending in time. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fêtes { ; time=0:06:58.53--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new passes=t center-mag=0/+0.352632256222736/1185.26/0.00395/180 params=0/0/2/0/0/0/0/0.1 float=y maxiter=20000 inside=255 logmap=80 symmetry=yaxis periodicity=10 colors=000nmhmlglkfkjejidihchgaff_ddYbbV``TZ_RXYOW\ WMUUKSSHQRFOQEMPGKPINQKQQMTSOWUQZUSaWUdXWgYYjZ_m_a\ p`csXbvUavR_wOZxKXyHWzEUzBTuERqHQlJPhMOcPM_RLVUKRW\ JTTOUQSWOWXL_ZId_GhaDlbBpeEmgGjjJhlLenNcqQ`sSYvVWx\ XTsZRoUDmU0mU1mU1mU2mU2mU3mU3mUCmULmUTmXamXlmXimVg\ mVhmVimVjmVkmUlmUmmUnmUomUpmUqmTrmTrmTqmTqmTqmRpmP\ pmNomLomIymJokKfiKYgLPeMGcI6cM7cP7cS8cV8cY8ca9cd9c\ gAcjAcn1cmAcmIcmRcl_cmZcnZcoYcpYcqXcrXdsWhtWluVmuX\ lvVkvTguRcuQ_tOWtMTsLPsJLrHerKeqJdqIdpHcpGcoFcoHcn\ EWnFOmKGmPAlUAlV8kW7jX7iY7hZ7g_7f`7e`7dc6cc6bc6ac6\ `c6`c6`c6`c5`c5`c5`c5_c5_c5_c5_c4_c4_c4_c4_d4Ze4Zf\ 4Zg4Zh3Zi3Zj3Zk3Zl3Zm3Ym3Ym2Ym2Ym2Ym2Zm2_m2`m2am4b\ m6cm8cmAcmCcnEcoGcpIcqKcrMcsNctOcuPcvQcwRcxScyTczU\ czVczWczXczYczZcz_cz`czaczbczcczcczcczcczcczcczccz\ cczcczcczcczcczcczcczcczcczcczcczcczcczcczcczcczcc\ zcczcczcczcczcczcczccz00P } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

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FOTD 13-03-05 (Distant Horizons [6])
by Jim Muth 13 Mar '05

13 Mar '05

FOTD -- March 13, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's FOTD came about as I was experimenting with color schemes. There was a period several years ago when I did quite a few images like today's, with its banded low-iteration stuff in the foreground and its more distant high-iteration stuff partly obscured in the background. With the proper coloring, such images can be given a strikingly convincing three-dimensional effect. The coloring of today's image is not the best of all time, but it does capture some of the three-dimensional effect of such scenes. I named the image "Distant Horizons". The impression it gives is one of standing behind a mass of twisting fractal material in the foreground, looking out into the infinite distances of the world of fractals. The location of the Parabolic scene is related to the north bud of the Mandelbrot set, or more correctly, if extended, one of its dimensions would intersect the north bud. The other dimen- sion has a similar relation to the Julia set of the north bud. The rating of a 6 is based almost entirely on the coloring. The render time of under 2 minutes is quite reasonable. A download of the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> is equally reasonable. Partly cloudy skies and a temperature of 46F 8C made conditions acceptable for the fractal cats on Saturday. They spent about 2 hours lurking well concealed in the holly thicket, waiting for something to happen. Nothing did, and the duo came inside satisfied that they had done their job. Today is starting mostly cloudy and chilly. I expect a repeat. As for me, I will likely do as little as possible for the rest of the day, except for fractals, that is. The next FOTD will be ready in 24 hours. Until then, take considerable care, and keep fractaling. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Distant_Horizons { ; time=0:01:46.06--SF5 on a P200 reset=2004 type=formula formulafile=slices.frm formulaname=Parabolic passes=1 center-mag=-0.04878\ 05/-1.06478/21.01469/2.7296/-90/-12.042575142884886 params=0/0.7071/0/0.7071 float=y maxiter=38000 inside=255 logmap=10 symmetry=none periodicity=10 colors=000E7HKJKG9IMKKIBJOMKKDKQOIMFJSQKOHLUSMQJNW\ UOSLPYWQVMRZXSVNT`XUXNVaYWYOXcZXZPYd_Z`Q_e``aRagab\ bSchaddTejbfeUgkchgVildjhWjnekiXlofmkXnqgolYprhqnZ\ rriso_ttjup`vtkwraxwmyraxrjwo_vohukYtkfshVrhcqeTpc\ `obSn`Zm_Qm`ZlaSka_jbTic_hcVgdafdWeebdfXcfcbgZahc`\ h`_idZiaYjfXkbWkgVlcUmgTmfSnhRngQoiPphOpkNqiMrkLrk\ KslJtmHslIrlJqlJplKokLnkLnkMmkMljNkjOjjOijPiiQhiQg\ iRfiRehSdhTdhTchUbgVagV`gW_gW_fXZfYYfYXfZWe_Ve_Vea\ UecTdeSdgRdiQdkQdmQeoPeqPfsPfuPgwPhxPhyOizOizOjzOj\ zOkzOkzNlzNlzNmzNnzNnzNozNozMpzMpzMqzMqzMrzMrzLszL\ tzLtzLuzLuzLvzKvzKwzKwzKxzKxzKyzKyzKzzLzzMzzNzzOzz\ PzzQzzRzzSzzTzzUzzVzzWzzXzzYzzZzz_zz`zzazzbzzczzdz\ zezzfzzgzzhzzizzjzzkzzlzzmzznzzozzpzzqzzrzzszztzzu\ zzvzzwzzxzzyzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzz0HP } frm:Parabolic {; Jim Muth real(z),real(c) z=imag(pixel)+p1, c=real(pixel)+p2: z=sqr(z)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 12-03-05 (Warp-10 [6])
by Jim Muth 12 Mar '05

12 Mar '05

FOTD -- March 12, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's image is titled "Warp-10". In the world of Star Trek, warp-10 equals infinite velocity, the velocity of a hypothetical tachyon that has totally exhausted its energy. But in the equally fantastic world of fractals, warp-10 describes an image of a Mandelbrot midget that looks as though it is moving at a very high velocity. The velocity is not infinite, but the mid- get is moving faster than the velocity of light in the medium, presumably a gas, through which it is moving, and is emitting Cherenkov radiation as it plows along. The scene, which is sliced in the Parabolic direction, shows a sub-midget located deep in East Valley of the large midget on the negative X-axis of the Mandelbrot set. Its appearance shows why I named this particular orientation the Parabolic. The rating of a 6 might be a bit conservative. Having been here often before, I found the scene almost automatically, and had no surprise when I saw the final result. A good part of the rating of the FOTD images comes from the satisfaction I get from seeing something new. If I had never before seen an image like today's, I would have rated it around a 7. But as it is, the rating of 6 will have to do. The render time of 46 seconds is less than it will take to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and download the completed GIF image from there. But for those with handicapped computers unable to run Fractint parameter files, it might be the only way of viewing the image. With some sun and a high temperature of 52F 11C, Friday was pleasant enough to merit the approval of the dynamic duo. In the evening a light thunder-shower moved over, but by then the duo had finished their outdoor exploration and were enjoying their tuna. Today is starting sunny and only slightly colder. The duo should grant their approval. For me it looks like an average day coming up. The next FOTD will appear in 24 hours. Until then, take care, and be of fractal heart. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Warp-10 { ; time=0:00:46.90--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=flip/ident center-mag=+0.0003416292/0/1144.691/63839 params=9\ 0/0/2/0/0/0.00025/-1.75/0 inside=0 maxiter=2500 logmap=220 periodicity=10 symmetry=xaxis float=y colors=000D0FD0DE0AF58G66G94HC5HF6II7IM8JQ9JVAKZBK\ cCPhDUmEZqFcwGhzGmzJrzMvzPzzSzzVzzYzv`zrczmfzhimcl\ cZodUrePufMxbKuZOrVSpRXmN`kJdhFieBmc7q`3uZ7s_Aq_Dp\ `Gn`JlaMkaPibSgbVfcYdc`bdccdZgXUmPPrIKxAGz3Iz5Jz6K\ x7Mw9NvAOsBQrDRpESnFUmHVkIWiJYgLZfM_eN_dN_bN_aN_`N\ Z_OYYPXXQWWRVVSUUTTTUSSVRRWQQXPPYOOZNN_MM`LLaKKcJJ\ eIIgHHiGGkIHmQIoVQq_WpeanjglpmjushzyfxxcwxavxZuxXs\ wUrwSqwPpwNnqSllXjg`ibegYjeUncUsbUwU`dMcNPOMSRLUSL\ XUKZWJaYJd_IfaHicHkeGngFphFphDpgCpeBpdApb8p`7pY6pW\ 5pT3pQ2pN1pM0hSIaYZVcoTdkRdhPeeNebLf_JfXHgUFgREgOJ\ hRNhUSiWWiZ`j`djcikfmkhrlkvlmrmhomdkm_hnWenSanNZnJ\ WoFSoAPo6Mo2esPywkwufvtbusZsrVrqRqoNpnJnmFmlBlk7kj\ 3ih4hf5fd5eb6d`7b_7aa8`c9Ze9YgAXiARkFLmKFoO9qT4sX8\ uVCwTGxRKyPOzNSzLWzJ_zHczFgzDkzBhzFezIbzL_zOXzRUzU\ RzXOz_LzbIzeFzhCzk9zn6zq3zt0zwBzpLzjVzddzZnzTxzNjz\ XXzfJzp6zyBzwAzOAzMBzKCzH } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

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FOTD 11-03-05 (Peaches and Cream [6])
by Jim Muth 11 Mar '05

11 Mar '05

FOTD -- March 11, 2005 (Rating 6) Fractal visionaries and enthusiasts: For some reason, I keep winning contests that I have never entered. Yesterday is a typical example. While waiting for a tardy customer to call in the final corrections for his job, I heard the phone ring. When I answered the phone, I heard a very excited voice congratulate me, telling me that I had just been selected to win a brand new Lexus. Suspecting with good reason that something was not as it seemed, I asked the caller if I had actually already won the Lexus or if the dealer was merely having a sales promotion. When the caller started talking about the great deals they were offering, I was disappointed but not surprised. Today's image is not quite up to yesterday's, and it is certainly not up to a new Lexus, but it is not disappointing and it is actually a bit surprising. It takes us to the north valley of the Mandelbrot set (I forget the valley's name) and looks at it from the Parabolic direction. Once again, the image resembles one of the miniature Julia sets found in the parent Julia sets of the area. The slices of the Julibrot in the Parabolic orientation are filled with features that resemble Julia sets. But unlike true Julia sets, where all miniatures in the same set are the same shape, the Julia-like miniatures in Parabolic sets can be of any shape, even in the same parent fractal. There is an orderly arrangement of the shapes of the miniatures in Parabolic sets, though I have not yet completely figured it out. Today's image needed far less un-distorting than yesterday's. It still has been stretched in the vertical direction however, by a magnitude of 2, and skewed by a factor of 9. Like yesterday's image, today's image turned out to be a perfect Julia-like miniature once the corrections were applied. The coloring of today's fractal is not quite up to that of yesterday's image, but it is still unusually smooth for a GIF fractal. And the incredibly fast render time of 1-1/2 minutes makes the task of rendering the image from the included parameter file a minor event. I named today's image "Peaches and Cream". The peach tint around the edges inspired the name. Actually, it would be more correct to say that the tint was the cause of the name. Little inspiration is involved when choose the FOTD names. As always, the final product is available for download on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Limited sun, chilly winds, and a temperature of 37F 3C made life unpleasant for the fractal duo on Thursday. The 20 minutes they spent in the yard were far too little to satisfy their adventur- ous spirits. But a generous serving of tuna and New York white cheddar cheese made their evening acceptable. Today is starting cloudy, with light snow forecast but not yet in sight. The cats already look unhappy. I expect my day to be uneventful, that is except for the next fractal. Until 24 hours have passed, and that next fractal appears, take care, and what are dreams made of? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Peaches_and_Cream { ; time=0:01:16.78--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new passes=1 center-mag=+0.00033419957414436/+0.000010038281058\ 69/2.31979e+008/0.5987/13.7810528843527536/9.49271\ 279099203547 params=0/0/2/0/0.0089773333/0.6656844\ 316/0.0089773333/0.6656844316 float=y maxiter=3800 inside=255 logmap=89 periodicity=10 colors=000wlcvlculctlcslcrlcqlcpkcojcnicmiclhckhcj\ gahg_efYafWZeUVdSQcQNbOJaLG`JDZI8YG4XE1YD0XB0Y90ZG\ 0_L2aQ4eV8i_9mdDqiEvpIztJzzNzzOzzRzzTzzTwzT_zTDwT0\ pX0n_0lb0lf2kg6kk8inBiqDgsGgwJfzLfzOdzQdtLalI_dEXX\ BVO8TTBRXDR_GQbIQfJOiNOlPNpSNsWLwZLzaLxYJwWItVGsTE\ qQDpNDpMBnJ9lG8kD6iC6g94f52f21d10b00a00_00Y00X00X0\ 0T00Q00N00J20G61E91BD28G44J61N80Q90R90QB0QB0QD0QD0\ QD0QE0QE0QE0QG0QG0QG0JT0Ed28q82z41z21z11z01z01z01z\ 01z04z08z1Bx2Et4Gp6Jl8Ni9RdBSaETXGUTIVOJWLLXINYDOZ\ 9Q_4R`1Ta0Vb0Vc1Xd2Xe4Xf4Yg6Yh8_i9_jB_kBalDamEbnGb\ oGbpIdqJdrLfsNftNguOhvQiwRjxRkyNlzImzDnz8oz2pz0qz1\ rz4sz8uxBwtDtqGsnJqkNpgOndRlaViYYgVafRbdOfbLiaIl_E\ nYBqX8tV4xT1zf2ng4di6Tl8JpLbQYt0kz8dzI_wRTnaOgkI_t\ DRz8Lz9Nz9QzBTzBXzB_zDbzDfzEizElzEpzGszGwzIzzIzzIz\ zJzzJzzLzzLzzLzzDzz6zz0zz0zz0zz0zz0zz0zz0zz2zz6zz9\ zzDzzXzzazzbzzdzzfzzgzziz } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

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FOTD 10-03-05 (The Phantom Gift [7])
by Jim Muth 11 Mar '05

11 Mar '05

FOTD -- March 10, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today, for a change, I did not goof. The pleasant scene is sliced through the Z^2+C Julibrot in the Parabolic direction. The slice is located near the Seahorse Valley of one of the Mandelbrot midgets in Elephant Valley. As a result, we have a Seahorse-looking Julia midget surrounded by Elephant-looking features. The name "The Phantom Gift", which I gave to the image, has no relation to the image's appearance. I chose it on a total whim because it sounds artistic. The rating of a 7, however, is well earned. The coloring, at least on my monitor, comes as close as possible, without checkerboarding, to the smooth appearance of true-color. The bands are there, but to see them, one must look carefully. Images of midgets sliced in the odd directions often have a rather unpleasant stretched appearance, but sometimes, as in today's FOTD, they appear totally undistorted. There is a catch however. To achieve today's undistorted image, it was necessary to stretch the image in the vertical direction by a factor of 380, and skew it by a factor of almost 90. This manipulation is part of the fun of the odd planes, getting something from nothing as it were, and if it were not done, today's image would consist of nothing more than a screen filled with multi-colored horizontal stripes. The render time of 4 minutes may be avoided by downloading the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> I have just received a copy of the book "Schrodingers Rabbits", which discusses the many-worlds interpretation of quantum theory. I can already see that it contains things that will need to be worked into the next installment of my philosophy. This means a further delay, but anything worth having is worth waiting for. Partly cloudy skies, biting winds, and a high temperature of only freezing kept the fractal cat duo safely indoors all day Wednesday. In mid-afternoon, the intruder from up the hill showed up and left his mark in the yard. The duo somehow knew the other cat was in the yard, and kept careful watch until he casually walked away. Today is starting with hazy sun and continued cold temperatures. The forecast calls for possible snow later this evening, but by then the duo will have finished whatever they have planned for the day. The next FOTD will appear at this same spot 24 hours from now. Until then, take care, and don't get lost in Fractal land. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Phantom_Gift { ; time=0:03:54.70--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new passes=1 center-mag=+0.00000312419553334/-0.000000002198513\ 13/4.551921e+010/0.002633/0.627306089407922651/89.\ 4765892407080514 params=0/0/2/0/0.265019899971/0.0\ 03084106765/0.265019899971/0.003084106765 float=y maxiter=5000 inside=0 logmap=383 periodicity=10 colors=000aaqb`qc_qdZqeYqfXqgWqhVqiUqjTqkSqlRqmQqn\ PqoOqoNqpMqqKqqJqrHqrGqqFopEmoEjmEhkEdiEagEXeEUcEQ\ aEN_EKYEGWEDUF6SE8QEAOEBMEDKEEKDGLDHMDJNDLODMPDOQC\ PRCRSCSTCUUCWVCXWBZXB_YBaZBb_Bd_Be`Cc`DbaEaaF_bGZb\ GYcHWcIVdJUdKSeLReLQfMOfNNfOMgPKgQJhQIhRGiSFiTEjUC\ jVBkWAlX8nY7oZ6qZ4rZ3qZ2oZ6nYAmXDlWHlVLlUOlTSlSWlR\ ZlQblQclQenRhqSktSnvTmvTmuUluUltVltVksVksWkrWjqXjp\ XjoYhnYfmYdlYbkT`jOZiJXiEVi8TiARiBPiCNiELiFJiGHhIF\ hJDhKBhMAhNBhOCgQDgREgSFgUFgVGgWHfYIfZJf_KfaLfbMfc\ NeeOefPegQeiRejSekTelTdkSckSbjSajRajR`iR_iQZhQZhQY\ hQXgPWgPWfPVfOUfOTeOSeNSdNRdNQdNPcMPcMObMNbLMbLMaL\ LaKK`KJ`KJ`KIaLIaMIbMIbNIbNIcOIcOIcPHdPHdQHdQHeRHe\ RHeSHfSHfTGfVGgXGgZGg`GhbGhdGhfGihFjiFkjFlkFmlFnmF\ onFpoGqpFrqFsrEtsEutDuuDuvCuwCuwBuwBuwAuwAuw9uw9uw\ 9uw8uw8uw7uw7uw6uw6uw5uw5uw4uw4uw3uw3uw3uw5uw7uw8u\ wAuwBuwDuwEuwGuwHuwJuwIuw } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

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Re: FOTD 08-03-05 (Parabolic Horse [6])
by Jim Muth 10 Mar '05

10 Mar '05

At 11:47 AM 3/8/05 -1000, david wrote: >Shoots, image not up on the web site yet ... >I was gonna say that no matter how I tried, I >couldn't see a pair of bolic horses, only one ... >but maybe I should wait until I can actually see >the picture ... Your inability to see horses is not surprising. There are no horses at all in the image. Both it and the discussion contain glaring errors. The goof-ups will be corrected in tomorrow's FOTD, which will appear on schedule in 12 or so hours. Jim M.

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FOTD 09-03-05 (I Goofed [No rating])
by Jim Muth 09 Mar '05

09 Mar '05

FOTD -- March 09, 2005 (No Rating) Fractal visionaries and enthusiasts: The fractalist has failed. I should have seen it sooner. How could I have missed such an obvious error? Yesterday's image is centered at -1.3 on its Y-axis, which is -1.3 on the X-axis of the Mandelbrot set. This point on the Mandelbrot X-axis is not just beyond Seahorse Valley, it is just beyond Scepter Valley, which is the next valley beyond Seahorse Valley. The bright horizontal stripe that appeared in yesterday's FOTD image is not a view of Seahorse Valley from above, as I claimed in the discussion. It is a view of Scepter Valley from above. Since I cannot permit such blantant errors to go unchallenged, I have corrected the situation in today's image, which is an expansion of yesterday's image to include the true Seahorse Valley. In today's image, Seahorse Valley appears as the thin, bright horizontal line near the top of the frame. The open area above it, at the top edge of the frame, is part of the main bay of the M-set. The broader horizontal stripe near the bottom of the frame is Scepter Valley, with the main period-2 bud appearing as the open area between the two stripes. Since today's image is basically a repeat of yesterday's, I have not given it a rating. But it is a marginal improvement and renders in only 1-1/2 minutes. Only little time is needed to bring it to life. The image also is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The rain changed quickly to snow in the late morning here at Fractal Central on Tuesday. About 1/2 inch 1cm fell before it ended. The temperature fell steadily all day to around 25F -4C by late afternoon. At the same time the wind blew in gusts to 45mph 70kph, making conditions far too harsh for the sensitive whiskers of the fractal duo. Today is starting sunny, but it is still quite windy and very cold, with a temperature of 18F -8C. The cats will be unhappy today. My happiness will increase if I can avoid errors in my next FOTD, which will appear in 24 hours. Until then, take care, and almost everything can be described by the proper numbers. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= I_Goofed { ; time=0:01:36.29--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new passes=1 center-mag=0/-1.06505/2.823547/0.3312 params=0/0/2/0/0/0/0/0.051 float=y maxiter=40000 inside=255 logmap=11 symmetry=yaxis periodicity=10 colors=000MY0S_0U_0Yb0ee0rd0zg0zj0xe0m_0eU0YP0SH4M\ CCK6HE4PC6UH9SMCPPHPUMMYSMbSKeSKjSHmSHrSErSCuSEuSH\ uSHuSKuSKuSMuSMuSPuSSuSSuSUuSUuSYuSYxU_xYbx_bxeexg\ exjgxmgxrjxumxxmxzpxzpxzrzzxxzrrzpmzmgzjbzg_zbUz_P\ zYKzUEzS9zP6zK1zH0zE0zC0z90z60z40x44r49j4Ee4M_4SU4\ _M4eH4jC1r41x01z01z01z01z01z01z01z09z0Ez0Kz0Su0Ym0\ be0j_0pS0uK1zC4z46z0Cz0Ez0Hz0Kz0Mz0Pz0Sz0Uz0Yz0_z0\ bz0ez0gz0jz0mz1pz4rx6uu9xp9zmCzjEzgHzeKzbMzYKz_Hz_\ Ez_Cz_Cz_9z_6z_4zb1zb1zb0zb0zb0zb0zb0ze0ze0ze0ze0z\ e0ze0zg0zj0zm0zp0zr0zu0zx0zz0zz0zz0zz0zz0zz0zz0zz0\ zz0zz0zz4zz6zzCzzEzzKzzMzzSzzUzz_zzbzzgzzjzzpzzrzz\ xzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzxzzuzzrzzmzzjzzez\ zbzz_zzUzzSzzPzzKzzHzzCzz9zz6zz1zz0zz0zz0zz0zz0zz0\ zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz\ 0zz0zz4zz6zz9zzEzzHzzMzzPzzSzzYzz_zzezzgzzjzzpzzrz\ zxzzzzzzzzzzzzzzzzzzzzKPZ } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

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Re: FOTD 08-03-05 (Parabolic Horse [6])
by gnome＠hawaii.rr.com 08 Mar '05

08 Mar '05

Shoots, image not up on the web site yet ... I was gonna say that no matter how I tried, I couldn't see a pair of bolic horses, only one ... but maybe I should wait until I can actually see the picture ... David gnome(a)hawaii.rr.com ----- Original Message ----- From: Jim Muth <jamth(a)mindspring.com> Date: Tuesday, March 8, 2005 4:56 am Subject: [Fractint] FOTD 08-03-05 (Parabolic Horse [6]) > > FOTD -- March 08, 2005 (Rating 6) > > I named today's image "Parabolic Horse". No, I have never seen > such an oddly shaped land-horse, but a valley named after the > sea-horse does appear in the image, and the image most certainly > is filled with parabolas, so I suppose the name is justified.

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FOTD 08-03-05 (Parabolic Horse [6])
by Jim Muth 08 Mar '05

08 Mar '05

FOTD -- March 08, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today, we shift our attention to what I call the Parabolic slices of the Julibrot, which are determined by the real(c) and real(z) axes. To visualize the orientation of these slices, we must imagine the three-dimensional section of the Julibrot that exists in our space when the Mandelbrot set is on the screen and the real(z) axis is perpendicular to the screen. The Oblate slices that we have been examining for the past seven days are what we would see if we were to view this three-dimensional object from the left of the screen. The Parabolic slices that we will be examining for the next seven days are what we would see from above the screen. In the image, the vertical direction is the east-west direction of the Mandelbrot set, with east on top and west on bottom, while the horizontal direction is the in-out direction when the M-set is on the screen and the Julibrot is oriented so that the real(z) axis is perpendicular to the screen. The left half of today's image is the part of the Julibrot section behind the screen, the right half is in front of the screen. In today's image I have sliced the Julibrot through the upper branch of Seahorse Valley. Yet no valley is visible on the screen. Nor is anything visible resembling the Julia sets of the valley. The Valley has been transformed into the bright horizontal ribbon that appears near the top of today's image. Actually, the Seahorse ribbon is actually much narrower than it appears in today's image, which has been stretched in the vertical direction to 15 times its normal width. The narrow bright horizontal line lower in the image is one of the small valleys on the western shore of the large period-2 bud of the M-set. The broad area below that is the start of the Mandelbrot mainland in the vicinity of Scepter Valley. I named this orientation the Parabolic direction because it is filled with parabolas. In fact, the Parabolic slice through the origin of the Julibrot starts as one great parabola, which is actually the graph of the function X^2. Checking the Parabolic slice through the origin of a fractal is one way of finding the critical points of that fractal's formula, and is one of the methods I sometimes use. I named today's image "Parabolic Horse". No, I have never seen such an oddly shaped land-horse, but a valley named after the sea-horse does appear in the image, and the image most certainly is filled with parabolas, so I suppose the name is justified. I rated the image at a 6. Most of the rating is due to the colors, which I spent a little extra time on, and are rather intense. The render time of 2-1/2 minutes is quite reasonable for such an image, but so is the minimal effort required to download the completed image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The time for the completion of the philosophy, which I abruptly discontinued, is drawing near. It should appear within a week. I will say little about my views at this time other than to state that I consider myself bound by neither scientific nor rational correctness. Warm sun and a high temperature of 70F 21C gave the fractal duo of cats nearly an entire day in the yard on Monday. They passed most of the time lurking in the holly bushes, but when the obnoxious gray-and-white cat from up the hill intruded in the yard, Thomas sprang into action, and with a mighty yell, sent the intruder scurying back where he belongs. Tippy watched the action with interest. When the day ended, I rewarded both of them with a generous serving of tuna. Today is starting rainy and windy, with rapidly falling tempera- tures and talk of snow on the way. It looks like the cats' good day will not be repeated. For me the day looks like it will be on the slow side, which means lots of time for the next fractal. Until that next fractal appears in 24 hours, take care, and why does 0! equal 1 instead of 0? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Parabolic_Horse { ; time=0:02:25.50--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-xz-yw-new passes=1 center-mag=0/-1.30045/13.90355/0.06894 params=0/0/2/0/0/0/0/0.051 float=y maxiter=40000 inside=255 logmap=11 symmetry=yaxis periodicity=10 colors=000MY0S_0U_0Yb0ee0ug0zg0zj0xe0m_0eU0YP0SH4M\ CCK6HE4PC6UH9SMCPPHPUMMYSMbSKeSKjSHmSHrSErSCuSEuSH\ uSHuSKuSKuSMuSMuSPuSSuSSuSUuSUuSYuSYxU_xYbx_bxeexg\ exjgxmgxrjxumxxmxzpxzpxzrzzxxzrrzpmzmgzjbzg_zbUz_P\ zYKzUEzS9zP6zK1zH0zE0zC0z90z60z40x44r49j4Ee4M_4SU4\ _M4eH4jC1r41x01z01z01z01z01z01z01z09z0Ez0Kz0Su0Ym0\ be0j_0pS0uK1zC4z46z0Cz0Ez0Hz0Kz0Mz0Pz0Sz0Uz0Yz0_z0\ bz0ez0gz0jz0mz1pz4rx6uu9xp9zmCzjEzgHzeKzbMzYKz_Hz_\ Ez_Cz_Cz_9z_6z_4zb1zb1zb0zb0zb0zb0zb0ze0ze0ze0ze0z\ e0ze0zg0zj0zm0zp0zr0zu0zx0zz0zz0zz0zz0zz0zz0zz0zz0\ zz0zz0zz4zz6zzCzzEzzKzzMzzSzzUzz_zzbzzgzzjzzpzzrzz\ xzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzxzzuzzrzzmzzjzzez\ zbzz_zzUzzSzzPzzKzzHzzCzz9zz6zz1zz0zz0zz0zz0zz0zz0\ zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz\ 0zz0zz4zz6zz9zzEzzHzzMzzPzzSzzYzz_zzezzgzzjzzpzzrz\ zxzzzzzzzzzzzzzzzzzzzzKPZ } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

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FOTD 07-03-05 (Seahorse Oblate [6])
by Jim Muth 07 Mar '05

07 Mar '05

FOTD -- March 07, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's image is the last in the current series of seven Oblate pictures. (Well, all right, yesterday's image had more of a Rectangular orientation.) Today's image shows an Oblate view of a mini-Mandelbrot set lying in Seahorse Valley. The Mandelbrot version of the picture may be seen by changing the (p1) parameter from 0,90 to 45,45 and resetting the x-magnification factor to 1. When this is done, a perfectly-formed, though somewhat under-iterated, Mandelbrot midget typical of those in Seahorse Valley will appear. The pattern surrounding the Oblate midget closely resembles that of both the Mandelbrot and Julia versions of the scene. The main difference is that the pattern is distorted into a triangular shape. This triangular distortion is typical of most midgets in the Oblate orientation. The mathematical reason for this is probably known, though I have no idea of what that reason might be. The name "Seahorse Oblate" is a description, and hardly more than a catalog number. The rating of a 6 reflects the small amount of extra effort I put into the coloring. The render time of 3 minutes is about the same as the time required to go to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and download the finished image from there. Starting with tomorrow's image, we will spend 7 days investiga- ting what I call the Parabolic, real(c)real(z), orientation of the Julibrot. A sunny mild day on Sunday, with a temperature of 54F 12C, kept the fractal duo quite happy in the yard most of the afternoon. When evening came, they were so exhausted that they almost forgot their tuna. Today promises to be even warmer. This is good news for the dynamic cats. For me, there is a modicum of work to finish before I get to the fractals, the next of which will appear in 24 hours. Until then, take care, and sometimes I wonder whether there are an infinity of fractals or only one fractal with infinite aspects. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Seahorse_Oblate { ; time=0:03:06.09--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=ident/flip passes=1 center-mag=-0.00000000000200438/+0.000000\ 00000203913/1.205523e+010/0.3459/32.5/3.8857805861\ 8804789e-016 params=0/90/2/0/-0.7291299973892553/\ 0.2357647081925723/-0.7291299973892533/0.235764708\ 1925723 float=y maxiter=1800 inside=0 logmap=320 periodicity=10 colors=000jNvjNujNtiNsiNrhNqhNpgNogNnfNmfNleNkeOid\ PgdQecPcbOaaM_`LY_KWZJVZIT_KU`MUaOUbQWcSXcUZdW`eYb\ f_cgaehcfiehigijijkkllmmlnnmppnrqotspvtrxutzwvzxwz\ yzzzzzzzzzzzzPkWUkcYlaSm_NnYHoWCpU6qS1rQ8ZYEGeDFdC\ FcCEcBEbBDbADa9C`9C`8B_8B_7AZ7AZ6B`5Bb5Bd4Ce4Cg3Ci\ 3Dj2Dl2Dn1Eo1Eq0Es0Et4Gs8IsBKsFLsINsMPsQQsTSsXUs_V\ sfbklicsqWyxOxuNxrNxoNwlMwjMwgMvdLvaLv_LuXKuUKuRPu\ OUzLZzNczRhzUlwYktalqdlnhlmlllolkjZjeMi`9dXE`UJXRO\ TNTOKYKHbGDgCAl87q9CrAGrBKrCPsDTsEXsF`sGetHitImtJq\ tKmpKjmKgjLdfLacLY`MVXMSUMPRMMOR`TWoY_zb`z``wZ`tYa\ qWanUakTahRbePbbOb_MbYLeWIhVGkUEmTCpSAsR8uQ6qO9nNB\ kLDhKFeJHbHJ_GLWFNTDPQCRNBTK9VH8XE7ZI6`L6aO6bS5cV5\ dY5f`5gd4hg4ij4jm4lq3mt3nw3oz3pr9rkEsdJtXPuQUvJZwK\ _rL`nMajNbfOcbPdZPdVSdUVdTYdT_bSa`ScZSdXSfVS8Hz8Jz\ 9Lz9Nz9PzARzATzAVzOXz6Zz7`z7bz7cz8dz8ez8fz9fz9fz9f\ zAfzAfzAfzCfzEfzFfzHfzIfz } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

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FOTD 05-03-05 (Oblate Miniature [6])
by Vortex Swirling 07 Mar '05

07 Mar '05

This took me a little over 23 hours to produce, and I'm running a 2.53 mhz pentium 4. I think it is because I've started to run Seti@Home and some other cpu sharing screensavers. After creating a 1280x1024 image of this one, I'm am quite impressed. The coloring gave it a sort of 3D look where the central mass seems to be floating on the blue. You can see it a little bit on the FTOD page but at the larger scale it is much more impressive. -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.6.2 - Release Date: 3/4/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.6.2 - Release Date: 3/4/2005

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FOTD 06-03-05 (Transfer [4])
by Jim Muth 06 Mar '05

06 Mar '05

FOTD -- March 06, 2005 (Rating 4) Fractal visionaries and enthusiasts: Today's image is a sideways view of the valley leading to the period-6 bud on the northeast shoreline of the Mandelbrot set. The orientation of the slice is rotated 75 degrees from the Oblate direction toward the Rectangular direction. A different formula, the multirot-XZ-YW-new formula, was needed to actually calculate a slice of the Julibrot in this particular direction. I gave the image the un-exceptional name "Transfer". The name was inspired by a feeling of energy flowing from top to bottom of the frame, which I felt when I first saw the image. The rather disappointing rating of a 4 was all I could do for the picture. I really did not give the colors the effort they need for a higher rating. Most likely, I lost interest when I saw no great potential in the image. The render time of 1/2 hour on my 8-year-old machine is decidedly slow for such a mediocre fractal. But the download from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> will be noticeably faster. The threatening snow failed to arrive on Saturday. Instead, we saw sunny skies and a high temperature of 41F 5C. The cats enjoyed over two hours lurking in the holly patch, and needed no special treat to keep them happy. Today looks to be a repeat. For me it looks like an average day -- that is unless I find a truly spectacular fractal, which would make the day special. The next FOTD will appear in 24 hours. Until then, take care, and the next fractal will (hopefully) be better. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Transfer { ; time=0:29:31.67--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new center-mag=-0.55744\ 397337778850/-0.00365254194306321/134.1987/0.0193 params=90/75/2/0/0/0/0.375205/0.2201383 float=y maxiter=15000 inside=bof61 logmap=37 periodicity=10 colors=000MeqOecSeaUeXXeTZePbeMeeHgeDieAnn6nw4nz0n\ z0nz0nz0nz0nz0nz0nz0nz4kzAbqHUhMMYTEOX0Me0Ml0Mq0Qq\ 0Tq0Yq0_q0cq0eq0jq0lq0qq0sq0wq0zq0zq0zq0zq0zq0zq1z\ q1zq5zqAzqEzqHzqMzqQwqUsqXqqizcezebze`zeZzeXzeUzhS\ zhQzhOzhMzhJzjHzjEzjAzj7zj5wj3ul1ul0sl0ql0nl0ln0jn\ 0hn0en0cn0cn0eq0eq0eq0eq0eq0eq0hq0hq0hq0hq0hq0hq0h\ q0jq0jq0jq0jq0jq0jq0jq0lq0lq0lq0lq0lq0lq0lq0sq5zqJ\ zqUzqezqnzqnzqnzqnzqnzqnzqnzqnzqnzqnzqnzqnznnzlnzj\ izhgzeezcbwc`uaZs_XqXUnVSlTQjROhRQfTQeTSeTScVUcVUc\ VXcXXaXZaXZa_`__`__b_ab_aeYaeYagYcgYciVciVekVekTen\ ThnThnThnQjnQjnQgnQdmKakAZi4Wg0Te0Rc0Pa0N_0LY0JW0H\ U0FS0DQ0BO09M07K05I03G21E60C80AF08N06S14Y42c60f60a\ 80YA0SA0PD0MF0HF0HH0FK0FK0FM0DP0DP0DR0AT0AT08V08X0\ 8X06_06a06a0A_0H_0M_0Q_0V_0_X0_X1_X3_X5_X5_X7_VA_V\ A_VC_VE_VE_VC_RA_PA_K7_H5_F5_A3_83_41_10_00_00_00_\ 00_00_00_00_00_00_0H_qJ_l } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

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FOTD 05-03-05 (Oblate Miniature [6])
by Jim Muth 05 Mar '05

05 Mar '05

FOTD -- March 05, 2005 (Rating 6) Fractal visionaries and enthusiasts: The Mandelbrot set is filled with miniature versions of itself. All these miniature M-sets are of the same basic shape, though some are distorted to a certain degree. It is the different surroundings of the miniatures that create most of the interest. The Julia sets of the miniature Mandelbrot sets are filled with miniature Julia sets, but these Julia sets, as well as their surroundings are all alike, so there is no great reason to explore them. But then there are what I call Oblate miniatures. The word miniatures is not quite correct, for, unlike Mandelbrot and Julia miniatures, the holes that appear in the Oblate slices of the Julibrot bear little resemblance to the shape of their parent fractals, and in fact often are unpredictable and unexpected. Today's image shows an Oblate miniature associated with a point near where the negative stem of the M-set joins the main body of the set itself. (This explains the name "Oblate Miniature".) Oblate miniatures can be of almost any shape except the familiar Mandelbrot shape. They frequently have perfectly straight edges, something that is never seen in either Mandelbrot or Julia miniatures. At other times, as in today's image, they resemble miniature Julia sets. When they do resemble Julia miniatures, these miniatures are not all alike. They will vary throughout the parent fractal. Finding Oblate miniatures is made more challenging by the fact that the parent fractals are sometimes stretched to a large degree, and must be unstretched and sometimes skewed before any sense can be made of the scene. Today's image needed only a small amount of stretching, though considerable skewing was required to bring it to an undistorted shape. The object it pictures is more like a 'Siegel Disk' Julia miniature than anything else. It has no open center, though the stuff filling the center is of extremely high iteration, and slows the calculation to nearly an hour. The rating of a 6 includes the mathematical interest. The artistic rating is closer to a 5. The slow rendering may be avoided by downloading the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Friday was a little warmer here at Fractal Central, but 39F 4C is still not balmy, and the fractal cats demand balmy, so extra tuna was needed to keep the complaints at a minimum. Today is starting with some sun, but I see possible snow mentioned for later today. It looks like another questionable day for the duo. In my department the situation appears settled. The commercial work is about caught up and the fractals are coming along on schedule. The next FOTD will appear in 24 hours. Until then, take care, and look to the light. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Oblate_Miniature { ; time=0:54:21.47--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=ident/flip passes=1 center-mag=+0.00001661999961360/+0.000003\ 43572018929/1.324138e+010/1.1184/-22.9825910406299\ 059/5.63619786054203864 params=0/90/2/0/1.401863/0\ /-1.401863/0 float=y maxiter=250000 inside=255 logmap=332 symmetry=none periodicity=10 colors=000ptzpszprzpqzppzpozpnzpmzplzpkypjypiwphwp\ gupfupetpdtrcrrbrtapt`pu_nuZmwYkwXhyWfyVdzUbzTZzSY\ zRWzQUzPQzOOzNMzMKzLHzKFzJDzIBzHDzGFzFHwEIuDKrCMpD\ OmHQkMShQUfUWbZYZbZYh`UkbSpdOtfMyhIziHzkDzmBzm9zi9\ zh9zf9zd9zb9z`9zZ9zW9yU9wS9uQ9tO9rM9pK9nI9mF9kD9iB\ Bh9Df7Fd5Hb3I`7KZ0MY0OW0QU0SS0UQ0WO0YM0ZK0YI0WI0SM\ 0QQ0MU0KU0IU0HQ0FM0DI7BHF9DK79S55Y33d00i00p00u00y0\ 0z00z00y00w07u0Bt0Fr0Ip0Mn0Km0Ik0Ii0Hh0Ff0Fd0Db0D`\ 3BZ39Y59W57U55S75Q73O93M90KB0KB0MD0MD0MF0OF0OF0OI0\ UK5YO9`QFfSIiWOmYSr`Yub`ydfzhizinznyzkrzhkzdfz`ZzY\ SzUMzQFzO5zM9zKBzIDzHFzFHzDIzBKz9Oz7Qz5Sz3Uz0Wz0Yz\ 0Zz0bz0dz0fz0hz0iz0kz0mz0mz0nz0pz0pz0rz0rz0tz0tz3u\ z5uz7wzBwzDyzHyzIzzKzyOzwQzuUzuWztYzr`zpbzndznbzm`\ zkZyiYuhWtfUpdSnbQk`Qi`OfZMbYK`WIYUHWSFSQDQOBMMBKM\ FMOIOQMQQQQSSSSWUUZUUbWWdYWhYYkZYn`Zr``tb`wdbzdbzf\ dzhdzhfzifzkhzkhzkhzkhzkh } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

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Re: FOTD -- March 03, 2005 (Rating 5)
by Vortex Swirling 05 Mar '05

05 Mar '05

No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.6.0 - Release Date: 3/2/2005

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Re: FOTD -- March 03, 2005 (Rating 5)
by Vortex Swirling 04 Mar '05

04 Mar '05

I wasn't getting anything like that. Did you mean to change the p4 parameter? Anyway, now I see what you mean I no longer need to struggle. Messing around with the parameters I was getting all sorts of odd ball shapes like rectangles and such. Just pure blocks of color, nothing else. Intersting in and of itself. -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.6.0 - Release Date: 3/2/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.6.0 - Release Date: 3/2/2005

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Re: FOTD -- March 03, 2005 (Rating 5)
by Jim Muth 04 Mar '05

04 Mar '05

At 11:15 AM 3/4/05 -0500, Vortex S. wrote: >I'm getting a big oval. I have no idea what might be wrong. But the path to the Julia set that I described is a convoluted one. The easiest and by far the fastest way is to calculate the Julia set directly from the 'Julia' formula and apply the 'believe' color map. I have already done this and included the parameter file. START PARAMETER FILE============================= Believe_Julia_set { ; time=0:02:23.03--SF5 on a P200 reset=2004 type=julia passes=1 center-mag=0/0/0.8503401 params=-0.7499/0.01360067933 float=y maxiter=500000 bailout=9 inside=0 symmetry=origin periodicity=10 sound=off colors=000PLAPM8PN7PO6PP5OQ5OR4OS3NT0OU3OV5PW7PYAP\ _CQaEQcGQfJRhLRjNRlQSnSSpUUqUTrVSrWRrWRqXQpXPoYOoZ\ OoZNp_Mp_Mq`LqaKqaJrbJrbIrcHsdHsdGteFteEtfEugDugCu\ hCvhBviAwj9wj9wk8xk7xl7xl9wmAvmBunCtnDtnEsoGroHqpI\ qpJppKoqLnqMnqOmrPlrQksRjsSjsTitVhtWguXguYfuZev_dv\ acx`dv`du`et`er`fq`fp`go`gm`hl`hkbhieihcwVcwAbjdbk\ cakbbla`l_`lZ_mY_mW_nV_nU_oT_oR_pQ_pP_qO_qM`qL`rKa\ rIasHbsGbtFctDcuCduBduAct9ct9bt9bs9bs8as8ar8ar8`r8\ `r7`q7_q7_q7_p7Zp6Zp6Yp6Yo6Yo6Xo5Xn5Xn5Wn5Wn5Xm4Ym\ 4_m4_l4`l3al3bk3ck3ck3ck2cj2cj2cj2ci2ci1ci1ci1ch1c\ h1ch0cg0cg0cg0cg0be3bd5ac8abA`aC__FYZHWYJUXMSWOQUQ\ OTTMSVKRXJU_JWbJYeJ_jJanIcsJcsKctLcsMcsNcsOcrPcrQc\ pRcpScoTcnTcmUcmVckWZkXUiYPhZOg_Pe`PdaPbbQbcQbcQad\ QaeRafR`gR`hS_iS_jS_kSZlTZmTYnTYnT_oUapUcqUerUgsUi\ tUkuUmvUowTqwTswTuwTwwTxwTywQzvNzvKzuGzuDztAzt7zs4\ zu0zt1zs1zr1zq1zp1zo1zo2z } END PARAMETER FILE============================= >How do you set the symmetry inside fractint (without >altering the par)? Bring up the command line by striking the 'g' key, and enter the command 'symmetry=origin' >Is setting the Logmap to 0 the same as setting the Log >Palette to 0? Yes. Jim M.

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Fractint Midi Files
by Harry Bissell Jr 04 Mar '05

04 Mar '05

Someone had a utility to output Fractint sound files as MIDI data at one time ? Does anyone have any information about this ??? TIA H^) harry

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FOTD 04-03-05 (Point of Contact [4])
by Jim Muth 04 Mar '05

04 Mar '05

FOTD -- March 04, 2005 (Rating 4) Fractal visionaries and enthusiasts: Today's image is something entirely different. It is a slice, cut in a different direction, of the same abstract four- dimensional figure that gives us the well-known Mandelbrot set and the infinite variety of Julia sets. But it resembles neither the Mandelbrot set nor a Julia set. The orientation of the slice is very near but not exactly the Oblate direction. It has in fact been rotated 0.008 degree of arc toward the Julia direction. When one is exploring the Julibrot, a tiny rotation can sometimes make a big difference. If the 0.008 value of real(p1) is changed as much as one degree, the entire image will collapse into a mere horizontal line. The location of the center of the slice is near the tip of the negative stem of the M-set, but removed 1.3 units from the tip, along the real(z) axis. The image, which has been stretched horizontally by a factor of almost 1300, features both a hyperbola and a point of contact. Since I have many hyperbolae in my fractal collection, I named the image "Point of Contact". For some reason, the idea of today's image seems to exceed the quality of the image itself, and I could give it a rating of only a 4. But there can be no disappointment, for the render time is so fast that the image will be finished before disappointment can set in. Rendering may be dispensed with entirely by downloading the already-rendered image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a temperature that never rose above freezing and brisk winds from the north, Thursday was an indoor day for the fractal cats, who took their pleasure watching birds from the comfort of their window shelf. The usual treat of tuna kept them happy. Today is starting sunny and quite cold, but the wind has died and it is due to turn warmer this afternoon. The fractal cats should be more tolerant of these conditions. It looks like an average day coming up for me, which means do what needs to be done, then move on to fractal land. The next glorious fractal will appear in 24 hours. Until then, take care, and don't get scammed. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Point_of_Contact { ; time=0:00:20.76--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=ident/flip center-mag=-1.29966327214381100/+0.000037418181458\ 39/11605/1281.9 params=0.008/90/2/0/0/0/-2/0 passes=1 float=y maxiter=95 inside=0 outside=tdis logmap=28 periodicity=10 colors=000D00E00F00G00H00I00J00K00L00M00N00O00P00Q\ 40R20S10T4FU6FV8HWAIXCJYEKZGK_IK`LIaNHcPGdRKfTPfWU\ hZZhccghhfmmerrdwwczzhzzmzzmzzrzwwzrzzmzzhzzczzczz\ czzczzczzczzczzczzczzczzczzczzczzczzc000000000000J\ aXLcVNdTPeQRfOThMViJXjHZkFXlHVmITnJRoKPoLNpMMqOKrP\ IrQGsREtSCuTBuUFnZIgbM`gPUkTNpWGtVJrUMqTOpTRoSTnRW\ mQZlQ`kPcjOeiNhhNkgMmfLpeLrdKtjKvoJxtJyyLzuNzrOzoQ\ zkSzhTzeVzbXzZYzW_zTazQbzMdzJfzGgzD2Bj5Ei7Gh9IgCLg\ ENfGPeJSeLUdNWcQZcS`bUbaWda__YbVUeRQhMNkIJnDFq9Cp8\ Bp8Ao89o78o77n76n75n64m63m62m62aGgeKiiNjlQkpTmtWnw\ Zou_ns_nr`np`nn`nmankanjanhbnfbnecnccnacn`dnZdnYdn\ Zcm_bl`ak`aja`ib_hcZgcZfdYeeXdeXcbYa`Z_YZZW_XT_WR`\ UOaSMaRJbPHbOOWMUPK`JJfCHl6Gl9IlCKlFMlIOlLPlORlRTl\ UVlXXlZYfaQacJWeCRg5QcMQ_aQWqPVmOViNUeMUaLTYKTTJSP\ ISLHRHGRDFQ9EQ5DQ1FR3N9UN8XO7`O7cO6gO5jO5mP7lQ8lRA\ kSBkTDjUEjUGjVHiWJiXKhYMh } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

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FOTD 24-02-05 (Close but no Cigar [8])
by Vortex Swirling 04 Mar '05

04 Mar '05

Done. It was taking a while to do the central spiral area. As soon as I learned to resume the fractal from the partial gif I was able to get it to go to completion. The final time (using the Tab screen) it says it took a total of 1:35 (h:m) to do it. But I wasn't paying attention, if that was the total time or the time from where I resumed. This was on a P4 2.53 under XP. -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.6.0 - Release Date: 3/2/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.6.0 - Release Date: 3/2/2005

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Re: FOTD 27-02-05 (Tessellation-II [10+])
by Vortex Swirling 04 Mar '05

04 Mar '05

I generated the two fractals to compare them to see exactly why I liked the first one. I didn't want it to be simply because I saw that one first. I liked the part of the first one because of the rainbow colors in the lower half. But if I rotate the color pallete on the second one I can come up with some very pleasing variations on that one too. I finally decided its because, on the first one, the top part looks like trees. There must be something pleasing about tree like fractals, they get the higher ratings and higher numbers of url hits. In one explanation of StarTrek I read it was explained that the drive was able to create extremely high levels of magnetism. Like on the surface of an ethernet cable, space is warped a bit, in ST they were able to warp space big time around those two funny things that look like rockets. Gene Roddenbery originally made those look like chemical rockets. I saw him back in 1976 at an ST convention and he admitted that originally they didn't even try to explain how it was done and made them look like something believable for the time. Anyway, the idea (that they seem to have applied as a patch) is that since space is infinitely malleable, and that they had enough energy (cough... cough...) to warp a bubble of space around the Entreprise, that bubble could move FTL because space is allowed to do that. But what would make it move? Well, thats part of the function of the two funny things (ok, now they call them "nacelles"). Part of them is built with material that doesn't warp along with space so they can ride on the "wake" that is produced between normal space and the warp space bubble. Got that? I like the method they came up with in Gateway, by Frederik Pohl. In that story they discover a stash of space ships in a cave beneath the surface of Venus but they don't know how they work. They do know that when they turn them on they go away at FTL speed. Some of the return, others don't. You get to ride one based on a lottery system. But I don't want to ruin the story for all you that haven't read it. Shall I tell you how they worked when they found out? Its a rather interesting idea, not possible, at present, but an interesting concept. -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.6.0 - Release Date: 3/2/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.6.0 - Release Date: 3/2/2005

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FOTD 03-03-05 (Believe It Or Not [5])
by Jim Muth 03 Mar '05

03 Mar '05

FOTD -- March 03, 2005 (Rating 5) Fractal visionaries and enthusiasts: The next paragraph has nothing to do with fractals. The really interesting stuff starts in the third paragraph. My day started with a bang when I checked my e-mailbox and found that I had won three lotteries which I had never entered, and that there were four floating bank accounts totalling over 50- million dollars that people wanted to transfer into my pathetic account. There was also a letter from a large well-known national bank, with which I have no account, informing me that their computer had crashed and they needed me to re-enter my account information. (Don't they keep a data backup?) I also saw that ebay has scrambled my account information, and Earth- link has lost my credit-card information etc. etc. etc. With so many 'phishing' scams out there, it is hard to believe that anyone would fall for such obvious deception. But I suppose public stupidity knows no bounds. In my wonder years, when I was just discovering the world and was hugely fascinated with science, I never missed the daily 'Believe It Or Not' cartoon. (For a while, I took the odd facts that appeared in the cartoon as absolute truth, but I gradually came to realize that the claims were intended more as entertain- ment than as proven facts, and some claims were quite a bit exaggerated.) I named today's image "Believe It Or Not" because it is difficult to believe that the delicate, wispy arches and solid horizontal beams are a part of the very familiar Seahorse Valley, yet it is a fact, and in today's case, most definitely a true unexaggerated one. What happened to the valley is that I have sliced it in an unfam- iliar direction -- the Oblate direction. In the image we are seeing the valley as it appears when the three-dimensional (real(c),imag(c),real(z)) slice of the four-dimensional Julibrot is rotated 90 degrees around the Y-axis, with the eastern edge of Seahorse Valley acting as the axis of rotation, and the resulting image is stretched 400,000 times in the vertical direction. The horizontal breaks in the purplish background are actually the Mandelbrot buds on the eastern shoreline of Seahorse Valley, which have been stretched horizontally to infinity. The greenish foreground elements are lower iteration features whose points have escaped before they had a chance to settle into the familiar Mandelbrot shapes. The Mandelbrot view of the scene can be viewed by going to the 'z' screen and changing the imag(p1) parameter to zero, and then going directly to the 'F6' screen and changing the X-magnifica- tion factor to 1. The symmetry must then be reset to 'none'. Since the resulting image will be very slow, it is best to render it in a thumbnail size. The Julia view of the scene can be viewed by going to the 'z' screen and changing the real(p1) parameter to 90 and the imag(p4) parameter to 0.01360067933, then, on the 'F6' screen, changing the X-magnification factor to 1 and the magnitude to 0.85. The symmetry should be set to 'origin' and the logmap should be reset to zero for fastest and best results. The Julia set is actually quite striking. I was undecided on the proper (IMO) rating for today's image, and finally settled on a rating of 5, which is average in every respect of the word. The bad part of all this is that, even with Y-axis symmetry, the image takes 3-1/2 hours to render. But salvation is at hand on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The image has been sent ahead and should already be posted. Cold winds, snow-covered ground, and a freezing temperature kept the dynamic duo indoors on Wednesday. They took their confinement bravely however, and I rewarded them with an extra big serving of tuna. Today is starting cold and windy again, only slightly less harsh than yesterday. Can the duo be brave two days in a row? For me, the commercial work is minimal, which means lots of time for fractals, and maybe some philosophy. Regardless of what happens, the next FOTD will appear in 24 hours. Until then, take care, and what will we do when we eventually run out of fractals? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Believe_It_Or_Not { ; time=3:29:45.98--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=ident/flip passes=1 center-mag=0/+0.01360067933683444/551139.\ 1/4.153e-005 params=0/90/2/0/0/0/-0.7499/0 float=y maxiter=500000 inside=0 logmap=1489 periodicity=10 colors=000cuAPZ8PY7PW6PU5OS5OQ4OO3NK0ON3OP5PR7PTAP\ VCQXEQZGQaJRcLReNRgQSiSSkUUlUTmVSmWRnWRnXQnXPoYOoZ\ OoZNp_Mp_Mq`LqaKqaJrbJrbIrcHsdHsdGteFteEtfEugDugCu\ hCvhBviAwj9wj9wk8xk7xl7xl9wmAvmBunCtnDtnEsoGroHqpI\ qpJppKoqLnqMnqOmrPlrQksRjsSjsTitVhtWguXguYfuZev_dv\ acx`dv`du`et`er`fq`fp`go`gm`hl`hkbhieihcwVcwAbjdbk\ cakbbla`l_`lZ_mY_mW_nV_nU_oT_oR_pQ_pP_qO_qM`qL`rKa\ rIasHbsGbtFctDcuCduBduAct9ct9bt9bs9bs8as8ar8ar8`r8\ `r7`q7_q7_q7_p7Zp6Zp6Yp6Yo6Yo6Xo5Xn5Xn5Wn5Wn5Xm4Ym\ 4_m4_l4`l3al3bk3ck3ck3ck2cj2cj2cj2ci2ci1ci1ci1ch1c\ h1ch0cg0cg0cg0cg0be3bd5ac8abA`aC__FYZHWYJUXMSWOQUQ\ OTTMSVKRXJU_JWbJYeJ_jJanIcsJcsKctLcsMcsNcsOcrPcrQc\ pRcpScoTcnTcmUcmVckWZkXUiYPhZOg_Pe`PdaPbbQbcQbcQad\ QaeRafR`gR`hS_iS_jS_kSZlTZmTYnTYnTYoUXpUXqUXrVWsVW\ tVVuVVvWzwWzxWzybzxZzxWzwTzwQzvNzvKzuGzuDztAzt7zs4\ zu0zt1zs1zr1zq1zp1zo1zo2z symmetry=yaxis } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

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FOTD 24-02-05 (Close but no Cigar [8])
by Vortex Swirling 03 Mar '05

03 Mar '05

Does anyone else have trouble generating this fractal? I use paste n go to use both the par and formula as given. It moves along quite well until it gets to the "white horizon". Then it isn't that it stops, I can see new pixels being colored. But if I come back even after two hours there is hardly anything done below that lower half. Maybe its that I'm trying to generate it at 1280x1024. -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.6.0 - Release Date: 3/2/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.6.0 - Release Date: 3/2/2005

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FOTD 02-03-05 (Something Horrible [5])
by Jim Muth 02 Mar '05

02 Mar '05

FOTD -- March 02, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's Julibrot image pictures an Oblate view of a midget that lies on the negative stem of the Mandelbrot set, very near the point where the stem joins the main body of the M-set. The next five FOTD images will also show Oblate views of the Z^2+C Julibrot. Mandelbrot midgets, or atoms, as they are sometimes called, are shaped like miniature versions of the Mandelbrot set. Julia 'midgets' are shaped like miniature versions of the particular Julia set in which they lie. Oblate 'midgets', which may be better described as holes, have no definite shape. Sometimes they look like Julia sets, at other times, such as in today's image, they have no definite shape, and resemble stretched and distorted, almost tortured bits of perturbed M-sets. Oblate midgets can never resemble intact Mandelbrot midgets however. Today's rather unsettling image reminds me of a face that has just witnessed a horrible scene. I have named it "Something Horrible". The parameter file renders in under 4 minutes, and when the rendering is finished, the resulting image has a rating of an average 5. Rendering may be avoided by downloading the ghastly image from the not-at-all-ghastly FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Don't give up hope, philosophy fans. The next outburst of philosophy will appear in the near future. The temperature reached 39F 4C here at Fractal Central on Tuesday, but the yard remained snow covered, keeping the fractal cats confined to the porch. They spent over an hour lounging in the sun, which is just now starting to clear the holly trees at the bottom of the yard. They must have been satisfied with their time outside, for the normal evening serving of tuna kept them happy. Unfortunately, today is starting notably colder with high wind, and the cats' happiness is in doubt. The work in my department is normal. I should be finished soon enough to leave ample time for the fractals, the next of which will appear in 24 hours. Until then, take care, and regardless of how hard one searches, they will never find the fourth dimension of space. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Something_Horrible { ; time=0:03:42.18--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=ident/flip passes=1 center-mag=+0.00000000001018554/-0.000000\ 00008617887/9.050939e+009/1.5291/-171.386570340830\ 417/-11.1781883317050372 params=0/90/2/0/-1.748659\ 111815974/0.01381380513990133/-1.748659111831792/\ 0.0138138052283043 float=y maxiter=5000 inside=0 logmap=-188 periodicity=10 colors=000ITKITKITKITKITKITKITKITKITKITKITKITKJTLK\ UMLVNMWOMXQMYSNZTN_VN`XObZOc_OeaPfcPgePdfQ_`RRWNMN\ KEMS6H_BGgGFoLEwPDrNEnLFjKGfIGbHHYFIUDIQCJMAKI9KMB\ JPDJSFIVHIYJI`LHcNHfOHbRIZUJVWJRZKN`LJcLFeMBhN7jNC\ dQG_SKVUPZSTaRXdQ`gPejOimNmpMqsMuvOrqQolSlgUibWfYY\ dU_aVaZVcWVeTWgQWiOWkLXmIXoFXqCYs9Yu7YwjIzgMzeQzcT\ zaXz__zXczVfzTjzRmzPqzNtzMozMkzMgzMczM_zMWzMSzLOzL\ KzLGzLCzL8zL4zL0zM1zN1zN1zO2zP2zP2zQ2zR3zR3zS3zS3z\ R5zR7zQ9zQBzPDzPEzPGzOIzOKzNMzNOzNPzMRzMTzMUzLWzLX\ zLZzK_zKazKbzN`zP_zRZzTYzVWzXVzZUzaTzcSzeQzgPziOzk\ NzmMzlOz9WzAXzBXzDYzEZzFZzG_zH`zJazKazLbzMczNczMaz\ M_zMYzMWzMUzMSzMQzMOzMMzLKzLIzLGzLEzLCzLAzL8zL6zL4\ zJ7zHAzGCzEFzDHzBKzAMz8Pz7Rz5Uz2Vz4Wz5Xz7Xz8YzAYzB\ ZzDZzE_zG_zH`zJ`zKazMazNbzPbzQczSczTdzVdzWezYezZfz\ n`zfcz_fzTizMlzFoz8rz0wz1uz1sz2qz2pz3nz3lz4kz4iz5g\ z5ez6dz0qz7nzElzKizRgzXdz } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

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Re: Tessellation
by Jim Muth 02 Mar '05

02 Mar '05

At 07:06 PM 3/1/05 -0700, JOTZ wrote: >How do you find these things ...? If I knew that, every FOTD would rate a 10+. The most likely answer would be knowledge and familiarity. I spend at least an hour a day exploring the worlds of fractals. Luck also plays a part. And we must not forget intuition, whatever that is. Sometimes I simply get a feeling that a good fractal lies hidden in a certain location, and sometimes I am right. And of course, not all FOTD images are good. FOTD for Mar 2 in an hour or two. Jim M.

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Re: FOTD 27-02-05 (Tessellation-II [10+])
by Jim Muth 02 Mar '05

02 Mar '05

At 09:43 PM 2/28/05 -0500, you wrote: >But in all the later series [of StarTrek] warp 10 >was defined as infinite speed which was impossible >to achieve. Actually, when the effects of relativity are taken into account, the speed of light is infinite speed, and warp speed is time travel. At light speed, time slows to zero and space in the direction of motion contracts to zero. This means that from the viewpoint of those on a ship moving at the velocity of light, there is no trip. In effect, they simply leave their departure point and find themselves instantly at their destination. But then, StarTrek science was never intended to be accurate; it was meant to be fun. >Actually I liked the first tessellated fractal >better but thats just me. They are both pretty much the same. I simply got annoyed that I had posted the wrong parameter file. Jim M.

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Fractint to midi file conversion:
by harrybissell 02 Mar '05

02 Mar '05

Hello All There is some discussion on synth-diy about using fractint to generate MIDI file data. I know that Fractint can support a sound card, and someone (at one time) had made a utility to convert that output to MIDI. Any info would be appreciated. I will transfer any replies to the s-diy group Thanks H^) harry <longtime (well, most time) lurker>

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Re: Tessellation
by JackOfTradeZ 02 Mar '05

02 Mar '05

Yeah Jim - those Tessies are way cool! Gonna see if I can animate them. BTW - <i>HOW</i> do you find these things ... ? Long Live the Cult of Fractint! JoTz

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Re: [Fractint] FOTD 27-02-05 (Tessellation-II [10+])
by Fr. Jim Lacasse 01 Mar '05

01 Mar '05

And me Fr. Jim >>> jlewis(a)clara.net 03/01/05 10:09AM >>> On Mon, 28 Feb 2005 21:43:23 -0500, Vortex Swirling wrote: > Actually I liked the first tessellated fractal better but thats just me. And me! John -- John Lewis, jlewis(a)clara.net on 01/03/2005 _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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FOTD 27-02-05 (Tessellation-II [10+])
by Vortex Swirling 01 Mar '05

01 Mar '05

So what your saying is that you can actually have a fractal rating of up to 10.4999999.... but a fractal rating of 10.5 would be impossible because it could be rounded up to 11? On the StarTrek TOS they could go faster than warp 10 and did so quite a few times. But in all the later series warp 10 was defined as infinite speed which was impossible to achieve. The treknobabble people said they just changed to a new scale. So using fractalbabble so to speak you could change it to anything you wanted (since your the writer) and occasionally present a fractal with say a value of 36 or something just to keep people on their toes. Probably want to wait for one that sort of breaks the laws of physics to do that, though. Actually I liked the first tessellated fractal better but thats just me. -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.302 / Virus Database: 266.5.1 - Release Date: 2/27/2005

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FOTD 01-03-05 (Little Oblate Seahorse [4])
by Jim Muth 01 Mar '05

01 Mar '05

FOTD -- March 01, 2005 (Rating 4) Fractal visionaries and enthusiasts: Every so often my interest in the fourth dimension surges, and I start exploring the odd slices of the Z^2+C Julibrot, which just happens to be a four-dimensional mathematical object containing both the Mandelbrot set and all the Julia sets. For today's image I went to the large midget on the negative X-axis of the Mandelbrot set, where I calculated a slice in the Oblate direction, (real[z],imag[c]), through the 'Seahorse Valley' area of that midget. Don't search for the name 'Oblate' in any book about fractals. It is a name I invented myself for slices cut in this particular orientation through the Julibrot. It is not a straight and simple slice, since the imag(z) para- meter is not zero. The small imag(z) value of 0.025 gives the entire scene an interesting skew to the left. The skewing is in the scene. The image itself, though stretched in the vertical direction, is unskewed. Unfortunately, the final result, which I did not put adequate work into, rates only a 4. After two tens and an eight, today's 4-rated image might seem a big come down, but the 'passes=b' option renders the image in a blazingly fast time of under 20 seconds, which means that little time will be spent in rendering the ho-hum image. I named the image "Little Oblate Seahorse", which is a descrip- tion of the area and direction in which the image is found. The parameter file calculates very fast, but a download of the image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> is nearly as fast, and for those with over-qualified computers, it is far more convemient. The snow started later than forecast here at Fractal Central on Monday, but when it finally did come, it came heavy, and by the time it wound down well after dark, over 7 inches (18cm) were on the ground. The fractal cats, being wise as all cats are, took their outside time early. By the time the snow began, they were safely ensconced on their shelf, watching with satisfaction the big flakes falling outside. A surprisingly small tuna treat was needed to keep them happy. This morning is starting with partly cloudy skies and sub-freez- ing temperatures. The snow covering the ground and clinging to the trees is making a winter wonderland of the surroundings, but cats of the fractal variety do not like snowy paws, so it is yet to be seen what kind of day they will have. I'll have a day of clearing away the snow however, which will take about an hour and leave ample time for the next FOTD, which will appear in 24 hours. Until then, take care, and be of high faith. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= LitleOblateSeahors { ; time=0:00:19.88--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=ident/flip passes=b center-mag=0/0/55.71368/0.1391 maxiter=3750 params=0/90/2/0/0/0.025/-1.768529748533/0 float=y inside=255 logmap=yes symmetry=origin periodicity=9 colors=000QMcQMcQMcQMcQMcQMcQMcQMbQMaQM`QM_QMZQMYQ\ MXQMWQMVQMUQMTQMSQMRQMQQMPQMOQMNQMMQMLQMKQMJQMIQMH\ QKGPJFONJOQNNTQNXUM_YMb`LfdLigKlkKpoJsrJvvJyyLquMi\ qOamPUiRMeSEbZYhepnkzsozlrsevl_ydTzXMzQGwWNoaUgg`_\ mgchigckkZmnUnrPpvKryFsuLnrQioVdl__hdVeiQbnL_sGbpF\ dmFgjFihEleEnbEp`EsYDuVDxSDzQCzNCzKCzICm_PVp`Xq_Zq\ Z`qYbqXdqXfqWhqVjqUlqUnqTpqSrqRtqRoiQkbPgVOcONbRQb\ UTbXVb_Yba_bdbbgeajgamjaolaroauraxtazwazyhzpnzgkt_\ inTfhMdbFbX8iaGofOukVzpbzujzyqzxozxmzxkzxizwgywevw\ ctwaqv_ovYlvWjvUhvTiuYHkVHkWHkYHkZRjd`jjjiptivuguv\ fuweuxduycuzauz`uz_uzZuzYuzWuzVuzUuzTuzSuz`vzhvvqv\ ryvozvowtonroepoXnoOloFjqNjsUjuajvhjxpjzwjzzjzzjyz\ huzgrvfnqdjlcggbcb`_Y_XTZTOXPJWMEVRKSVPQ_UNcZLhcIl\ iGqnDusBzx8zz6zz4zzBwzIqxPluWktZjs`irbirdhqfgphfoj\ folenndmpclrcltorpsufwxXzzQzzHzzJzzLzzMzzOzxQzwRzu\ TzsVzrWzpYzn_oFSlCCnFD000 } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

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FOTD 28-02-05 (Fantas-a-Stick [8])
by Jim Muth 28 Feb '05

28 Feb '05

FOTD -- February 28, 2005 (Rating 8) Fractal visionaries and enthusiasts: After the two highest rated consecutive FOTD fractals of all time, today's image, with its rating of an impressive 8, actually seems disappointing. But a rating of 8 is still much above average, and today's image must be given the recognition it deserves. The image is an evaporated scene in the fractal that results when 4 negative portions of Z^(-1.4) are combined with 0.4 negative portion of Z^(-14) before (1/C) is added. Evaporated fractals, like the physical vacuum, are not as empty as they first appear. The physical vacuum, though it contains no matter, is still filled with energy fields, which can be seen as an exchange of quantum particles; an evaporated fractal, though it contains no visible escaping points, is still filled with trapped points whose activity can be revealed by an inside fill such as the 'bof61' fill that in today's image makes the invisible visible. I gave today's image the nonsense name "Fantas-a-Stick". The reason for such a name is that I felt like doing it. The render time of under 3 minutes continues the recent trend of showing that great fractals do not necessarily need to be unbearably slow. Curiously enough, the fractal lady, who has often commented that I under-rate my fractals, and remarks that I never give a rating of 10, now tells me that I have over-rated the fractals of the past two days, which I did rate at a 10, implying that I don't know the value of my own fractals, and presumably anyone else's, fractals. I think she would like to see me spend a bit less time in fractal land and a bit more time in 'real' land. But if I don't find these images, who will? No one will. And the world is already filled with those who, unlike myself, totally ignore the world of fractals. What difference would it make if I added myself to the multitude who ignore fractals? Today's image may be viewed by running the included parameter file or by downloading the finished GIF image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Lots of sun and a temperature of 37F 3C gave the cats ample time Sunday in the holly thicket at the bottom of the yard. They would have preferred it a little warmer, but seemed satisfied with what they had. Only the normal serving of tuna was needed. This morning I see snow in the forecast, but no snow in the air. Could our weather 'experts' once again be wrong? The duo seems unconcerned. Maybe they know something the experts don't. The work for me is light, and I'm on a fractal hot streak. How long can the good luck last? Tomorrow's FOTD is but 24 hours away. Until then, take care, and a fractal a day keeps one healthy, maybe not wealthy, but certainly wise. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fantas-a-Stick { ; time=0:02:53.95--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.92489902336127200/+0.004753031337121\ 92/129217.4/1/-20/-1.52742572478992145e-008 params=-4/-1.4/-0.4/-14/0/1e+100 maxiter=300 float=y inside=bof61 outside=tdis periodicity=10 colors=000z0rs0kn0dg0Za0SV0LP0FV5GZFGcOGhWIldIplIl\ gOiaTgWYcQc`LhYFlJDe4D`0DV1ASC8PO7MY5Jb4IT5L57O07V\ 1FMFPJSTGdXDpeAzl7zr4zoIonTckePipCmz0ez0Su0Dc00L78\ Fcm8WQ2gZzrg0dSAQDSC0hD5kDClFIoFOpFVsG`uGexGkyQZkZ\ MZg8MFzgOscWl`deWkZTsSPzLMzDJzGzzIMxJzuLPpMQnOzkPS\ iWYicaiighpkhxphzuhzyazuVzpOzlGzhAzd0zWMgneJzhAak2\ 7sYPpVSnSTkQVhOYeLZcJ`iGWpFSxCOzAJlCMYCPICQMFWPIaS\ JeVMkYOocMahMPnLCrL000zZ8zzSzzWzyZprcgkeWdiLYlAWiJ\ VgQVdYTadSZkSWrMduGlxAuz4zzDzzMyzVxzcvzksysryzpxzo\ xzhzvczperZoZGyF0z00y10p80hG0aO0TV0La0Ch04o4IkCThJ\ deQocYz`czYdzVevSgoPhgMi`JkTGkMDVVTFch0ix0cd0WM0P2\ 0WJ0cZ0il0pz0vzLa8VY5dT4nP1xL0zG0zC0zM2sW8heFZnLLY\ 57I0IJ8QJPZLdgLsoLzv0rvazzdhzgSziAePvWPpMPlCPh1Pd0\ Y40V80SC0PF0MI0JL0GO0DQ0OJAWCLd5Vl0du0aVFgZClc8rg5\ xk2zo0zr0hd0JQ00C05J0IP2VV5e`8peCzd2zc0zZAnVPaQcPM\ pDJzCGzADz8Az77z54z51z84z } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 27-02-05 (Tessellation-II [10+])
by Jim Muth 27 Feb '05

27 Feb '05

FOTD -- February 27, 2005 (Rating 10+) Fractal visionaries and enthusiasts: No one but no one is perfect, and I am not Mister No-One. I made a minor error when I posted yesterday's 'Tessellation' image. I had calculated and made parameter files of two versions of the same scene, one with the functions set to flip/ident, the other with the functions set to ident/flip. I inadvertently included the wrong parameter file in yesterday's FOTD. The flip/ident image, which was drawn by yesterday's parameter file, rates a 9.5, which I rounded off to a 10. The ident/flip image, which is drawn by today's file, rates a 9.7, which also rounds off to a 10. Today's image is basically the same as yesterday's, but the overall form is in a different orientation and the tessellation in the upper half is even more impressive. The problem is that I gave yesterday's image a rating of 10, which is the highest possible rating, yet today's image is slightly better, and there is no such thing as a rating of 11. (Such a rating would be as meaningless as the claim that one owns 10 square kilometers of land 100 miles north of the north pole.) This is why I have always been conservative in my ratings. But I had to do something to show that today's image exceeds yesterday's, so I gave today's image a rating of 10+ and left it to the viewer to decide exactly what such a rating means. I could have named today's image something like, "Son of Tessellation" or "The Return of the Tessellation" or "The Curse of the Tessellation" or "The Tessellation Strikes Again". But in keeping with the current trend in the film industry, I named it "Tessellation-II". The render time of 12 minutes may be avoided by downloading the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> As expected, I was away all Saturday afternoon, looking at the things that other people had discarded. As a result, the fractal cats could not go out. They were forced to enjoy the warm sun and temperature of 46F 8C from their window shelf. When we returned in the evening, the duo was rightfully irate, and loudly demanded extra tuna. Only when the tuna was delivered did they settle for a quiet evening. This morning is starting sunny and calm, but cold. I hope the duo has time enough in the yard today. More snow is forecast for tomorrow. I expect a slow day. Slow days make great fractals, so check back tomorrow to see what happens. It will not be another repeat. Until then, take care, and be rational but wise. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Tessellation-II { ; time=0:12:16.61--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multXYZWcompjb-min function=ident/flip passes=1 center-mag=-0.0315473/0.306062/0.9536765/\ 1/45/-3.77822773067748585e-014 params=89.8/90/1.2/\ 0/1.1/0/0/0/0/0.814 float=y maxiter=1000 inside=bof61 logmap=yes periodicity=10 colors=000P0zK0zk0WzW0W00z00W00s00Q00S02U03W05Y06_\ 09a0Dc0He0Kg0Ni2Rk5Um9XoA`qDdtHhvInuSwmbzhkzcqzduz\ dxzdyzdzzfzxfztfzqfznhzihzfhzchz`izWizSizPizMhzKfz\ IfzHdzFdzDczCcxAbv9`t6`q5Zp3Zm2Xk0Xh0Wf0Wd0U`2SW9R\ SFPNMNKSMFZKCcMFdMIdMKdMNdMRdNSfNWfNXfN`fNcfPdhPhh\ PkhPmhPphPqhWfcbX`hNWmDSs3Ny0Kz0Hv5MnPRfhWZz`RzcRz\ WRzNRzFRz6Rz0Rz0Rz0Sz0Uz0Wv2Xq6ZmD`hIbcPcZUdU`fPdh\ KkiFp`IdRMWINK9RA0U00W00X00X00Z02Z03`06`29b3Cb5Fc6\ Hc9KdCMdDPfFRfHUhIWhKSfMPdMMcMIcMFbMC`N9ZN6ZN3XN0W\ N0UP0UP0SP0RP0RP0PR0NR0MR0MR0KR0IR0HR0HR0FS0DS0CS0\ CS0AS09S06S06S03S02S00S00S00S00S00S00S02`CIfPZm`ns\ UhpNbmHWiAPf5IcAWsDhzmzzmzzmzzmzzmzzmzzmzzmzzmzzmz\ zmzzmzz0zz0zz0zz0zt0xq0vp0tn0sm0qk0pi0nh0mf0kd0hc0\ fb0d`0cZ0bX0`W0ZU0XS0WR0SP0000RN0PM0NK0MI0KH0IF0HD\ 0FC0CA0A909606505303202000000000000000000000P00S20\ W60ZD0bI0dP0hW0kS2cf2qk3z } frm:multXYZWcompjb-min {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p4, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p5, q=(c^(p3-1)): z=(-z)^(p2)*(q)+c, |z| < 400 } END PARAMETER FILE=========================================

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FOTD 26-02-05 (Tessellation [10])
by Vortex Swirling 27 Feb '05

27 Feb '05

Hey Folks, What was the other FTOD that rated a 10? It was: http://home.att.net/~Fractals_2/FotD_00-10-10.html Two have been rated 9.5: http://home.att.net/~Fractals_2/FotD_01-08-02.html http://home.att.net/~Fractals_3/FotD_04-10-29.html -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.302 / Virus Database: 266.5.0 - Release Date: 2/25/2005

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FOTD 26-02-05 (Tessellation [10])
by Jim Muth 26 Feb '05

26 Feb '05

FOTD -- February 26, 2005 (Rating 10) Fractal visionaries and enthusiasts: The rating of today's image is no typo. I feel it is actually worth a 10, making it only the second FOTD image to achieve this supreme rating. Not only is it one of the most unusual fractal images I have yet seen, everything about it excels. The coloring is excellent; the mathematical interest is excellent; the uniqueness is excellent. In short, the image is so close to perfection that when I considered its minor faults, the rating still rounded off to an actual 10. The name "Tessellation" was inspired by the branch-like arms in the upper half of the image, which appear to have been covered with a tile mosaic. By contrast, the lower half of the image consists of a carnival-like riot of brilliantly colored bits and strips of fractal debris. The dividing line between the upper half and lower half is extremely sharp, yet the features still appear continuous across the divide to some degree. The image was created by the formula (-Z)^1.2*(C^0.1)+C, which is the same formula that created the 'No_Cigar' image of Feb 24. In today's image I picked a point near the northern shoreline of the main bay of the parent Mandeloid, but still located some distance offshore, and calculated an almost-Julia set rotated only 0.2 degree from the Julia direction. When this open figure is rendered with the 'inside=0' option, it is blank. Most of the active inside fills work wonders with it however. I chose the 'inside=bof61' option for today's image, but the other inside options are well worth a try. The render time of 10-1/2 minutes is well within reason for such an outstanding image. For extra convenience, the completed GIF image has been posted to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Limited sun, a temperature of only 36F 2C, and snow-covered ground, kept the dynamic fractal cats safely inside all day Friday here at Fractal Central. They did venture briefly onto the porch to check conditions, but turned back inside before the door was closed, to spend the rest of the afternoon on their comfortable shelf by the window. Today is starting about the same as yesterday. I expect the duo to have a similar day. For me the work is light, but fractal lady is thinking about a browsing trip to one of the local antique and collectible emporiums. Maybe seeing some of the old stuff people have thrown away will give me a few new fractal ideas. The next FOTD will not rate as high as today's, but it will appear in 24 hours. Until then, take care, and don't be disappointed. Some day we might find another FOTD that rates a 10. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Tessellation { ; time=0:10:31.42--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multXYZWcompjb-min function=flip/ident passes=1 center-mag=0.343582/0.0348611/0.8796844 params=89.8/90/1.2/0/1.1/0/0/0/0/0.814 float=y maxiter=1000 inside=bof61 logmap=yes periodicity=10 colors=000P0zK0zk0WzW0W00z00W00s00Q00S02U03W05Y06_\ 09a0Dc0He0Kg0Ni2Rk5Um9XoA`qDdtHhvInuSwmbzhkzcqzduz\ dxzdyzdzzfzxfztfzqfznhzihzfhzchz`izWizSizPizMhzKfz\ IfzHdzFdzDczCcxAbv9`t6`q5Zp3Zm2Xk0Xh0Wf0Wd0U`2SW9R\ SFPNMNKSMFZKCcMFdMIdMKdMNdMRdNSfNWfNXfN`fNcfPdhPhh\ PkhPmhPphPqhWfcbX`hNWmDSs3Ny0Kz0Hv5MnPRfhWZz`RzcRz\ WRzNRzFRz6Rz0Rz0Rz0Sz0Uz0Wv2Xq6ZmD`hIbcPcZUdU`fPdh\ KkiFp`IdRMWINK9RA0U00W00X00X00Z02Z03`06`29b3Cb5Fc6\ Hc9KdCMdDPfFRfHUhIWhKSfMPdMMcMIcMFbMC`N9ZN6ZN3XN0W\ N0UP0UP0SP0RP0RP0PR0NR0MR0MR0KR0IR0HR0HR0FS0DS0CS0\ CS0AS09S06S06S03S02S00S00S00S00S00S00S02`CIfPZm`ns\ UhpNbmHWiAPf5IcAWsDhzmzzmzzmzzmzzmzzmzzmzzmzzmzzmz\ zmzzmzz0zz0zz0zz0zt0xq0vp0tn0sm0qk0pi0nh0mf0kd0hc0\ fb0d`0cZ0bX0`W0ZU0XS0WR0SP0000RN0PM0NK0MI0KH0IF0HD\ 0FC0CA0A909606505303202000000000000000000000P00S20\ W60ZD0bI0dP0hW0kS2cf2qk3z } frm:multXYZWcompjb-min {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p4, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p5, q=(c^(p3-1)): z=(-z)^(p2)*(q)+c, |z| < 400 } END PARAMETER FILE=========================================

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FOTD 25-02-05 (Good Versus Evil [7])
by Jim Muth 25 Feb '05

25 Feb '05

FOTD -- February 25, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's fractal was created with the MandelbrotMix3a formula, which combines 4 different powers of Z but requires that the critical points be calculated manually. In today's image, various portions of Z^(-5.5), Z^(1.5), Z^(2.5) and (1/Z) were combined, and a critical point was entered as (p5) to produce a parent fractal that consists of little more than a scattering of disconnected fractal strings. But some of the strings hold curious little Mandelbrot atoms, one of which is the star of today's sizzling fast image. When rendered in the traditional manner, with the outside set to 'iter', today's image is rather dull. The 'tdis' outside option brings the scene to life however, and earns the rating of a 7. I chose the name "Good Versus Evil" when I noticed the contrast between the strong celestial blue in the center of the image and the lurid red around the edges, which hints at devilishness. Of course, in a theoretical battle of good against evil, the result must always be a stalemate. Both sides are equally powerful. I rendered today's image with the 'passes=b' option, which is the fastest with this particular image. It is also the most fun to watch. The drawback is that it often completely misses some features of the images on which it is used. Though today's parameter file renders fast as lightning, the FOTD web site, where the completed GIF image has been posted, is still fun to visit. The site is located at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Snow fell all day Thursday here at Fractal Central, keeping the fractal cats confined all afternoon to their shelf by the window, where they watched the birds scrounging for food. The duo must have been reasonably contented with their situation, for they were satisfied with the normal serving of tuna. This morning is starting with some sun, but it is still cold and we are deep in snow. I have no idea how the duo will manage the challenging conditions. For me it's another average day with the average amount of work to clear away before tackling the fractal world. The 6 inches 15cm of snow that fell yesterday is not enough to stop normal activity of a rather large city, so I have no excuse to put things off. The next FOTD will appear in 24 hours. The wrap-up of the philosophy will appear a few days later. Until next time, take care, and where is Yukon King? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Good_Versus_Evil { ; time=0:00:56.74--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix3a function=ident passes=b center-mag=+1.295364358/+0.033121647/21027.75/1/16\ 5/7.70038116604254697e-010 params=0.5/-5.5/2/1.5/\ -0.3/2.5/-4/-1/0.8541307166/0 float=y maxiter=256 inside=255 outside=tdis periodicity=10 colors=000YtBXtCWtEVtFUsGTsISsJRsLQsMPsNQoQRkSSgUT\ cWU_YVW_WSaXOcUMgRKkPInMGrJEvHDyLIuPMrTQnXUk`Ygcad\ gfakjYonVsrR0005HDsHJlHIfHH_HGUHENHDHHCAHB4HA6IE7J\ I9JMAKPBLXDLdEMkNPmKSoPVqUYsZ`ultzUghL0`CGS42K9ETE\ PaJ_iE`dAa_5bV1bQ9e_HhhPkqMojKrczzXzzRzzSQzSVhT_cT\ dZUiTUnOVsJVfHiVFw_MmdSciZVndLsjColIknNgoSdqX`saXt\ fTvkQwpyPrx`qwlpvwoc3ieFYgRNibBjn0k`BlNLmAVaMXQYZE\ i`2tb8rcDqdJpeOnfUmgZlhQ_lHOo8Cr5AU3859DHEITKNcPSo\ UXzLi9QeBVaD_YFZULYQQXMVWI`VEeUAjU7oR9jPBeMD`KFWHH\ RFJMCLHANDlLFc_CVmAQoGLpMHqRCsX7tb3ugNV_f4TYCWQJZI\ QaAXdCTTDPHHNLKLONJRRHVUFYXD`_Cc_B``BY`AVa9Sa8Pb7M\ b6Jc5Gc5Db7Fa9H`BJ_CLZENZGPYIRXJSWLUVNWVPYUQ_TSaSU\ cRWeRXfUZeW`dZbcmu0lt2ks4kr6jq8ipAioChoEhnGgmIflKf\ kLejNdiPdiRchTcgVbfXaeZad``cb97vB9tDBsEDrGFqHHpUN`\ NGPG9ELKFQUGVcHZmHUlKQkNLjQHjTCiW8hZ4haDafLWjTQn`J\ rhDvp7zm3Vj00g64eB8bGC000 } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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Re: [Fractint] FOTD 24-02-05 (Close but no Cigar [8])
by Fr. Jim Lacasse 25 Feb '05

25 Feb '05

Jim, Great fractal. I see a character with many smiles looking at something of great humor. Have a great day. Fr. Jim >>> jamth(a)mindspring.com 02/24/05 09:00AM >>> FOTD -- February 24, 2005 (Rating 8) Fractal visionaries and enthusiasts: To start, I must admit that today's Julia-like image is abysmally slow. And that is not all. It is merely close to being a Julia set. In fact, it is within 1/2 degree of arc of actually being a Julia set. But it is not a Julia set; it is "Close but no Cigar". If the image were a Julia set, it would consist of nothing but the spider-like arms in the foreground. The brilliant, straight-edged, horizontal bar in the background, partially showing through the spider arms, is actually a grossly enlarged and infinitely stretched view of the area of the Mandel- brot set associated with this particular Julia set. The pure Julia version may be seen by changing the imag(p1) parameter from 90.5 to 90. One benefit of this change is that the Julia set renders in 1/10 the time of the 'almost' Julia set. The spidery arms in the pure Julia set are thicker and not nearly as intricate as those of the 'almost' set, especially in the lower part of the image. And unless I am mistaken, there are fewer arms in the pure Julia set. Of course, in the Julia set the straight-edged feature in the background, which adds most of the interest, is totally missing. The very slow render time of today's image is a bit misleading. When I first rendered the image, I used the old version of the multXYZWcompjb-min formula. Since then, I have moved the term (c^(p3-1)) to the initialization part of the formula, which lets it be calculated only once for each point rather than recalcula- ted at every iteration. This cuts the render time almost in half. All previous versions of the multXYZWcompjb-min formula should be replaced with the version that is included in today's parameter file. The 'frm:' that precedes the formula name must be removed before the formula can be included in a formula file. I have rated the image at an 8. This might be a bit overblown, but I rather like the image, and feel that it is worth the 8. But even with the new version of the formula, the image is a slow one that is much more convenient to download. I have sent the image on ahead to Paul, so it should be posted to the FOTD web site, ready for download, shortly after you read this. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Wednesday turned out not too bad here at Fractal Central. The sun was visible about half the time and the temperature reached 43F 6C, which is about where it should be at this time of year. The cats spent about an hour in the yard, which is a little below their normal time outdoors. Their evening tuna was near average. But this morning I see light snow falling, with heavy snow forecast for later today. The duo might not have a good day. I expect an average day, but then, even an average day is filled with things of interest. The next FOTD will appear in 24 hours. Until then, take care, and look beneath the surface of the everyday things of life. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Close_but_no_Cigar { ; time=2:26:36.40--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multXYZWcompjb-min function=ident/flip passes=1 center-mag=-0.419308/3.33067e-016/1.62121\ 2/1/90/3.88578058618804789e-016 params=90/90.5/1.2\ /0/1.1/0/0/0/-0.818/0 float=y maxiter=100000 inside=0 logmap=15 periodicity=10 colors=000PIVPIWOIXOJYNJZNK_MK`MKaLLbLLcKMdKMeJMfJ\ NgINhINiHOjHOkGPlGPmFPnFQoEQpEQqDQrDQsCQtCQuCQvDQw\ DQwDQwEPwEPwEOwENwFNwFMwFMwFLwGLwGKwGJwGJwHIwHIwHH\ wHHwIGwIFwIFwJEwJEwJDwJCwKCwKBwKBwKAwLAwL9wL8wL8wM\ 7wM7wM6wM6wL8wL9wKAwKAwKAwJAwJAwIAwIAwIAwHAwHAwGAw\ GAwGAwFAwFAwEAwEAwEAwDAwDAwCAwCAwBAwCAwDAwEAwFAwGA\ wHAwIAwJAwKAwLAuMAsMAqNAoOAmPAkQAiRAgSAeTCcUEaVG_W\ IYXKWXMUYOSZQQ_QO`QMaQKbQIcQGdQEeQCfQAfQ8fQ6gP5gP5\ hO5hO5hO5iN5iN5iN5jN5jO5kP5kQ5kR5lS5lT5kU4lV5lW6lX\ 6lY8mZAm_Cm`EmaGnbIncKndMneOofQogSohUoiWpjYpk_plap\ mcpneqogqpipqkormnsomtqluskvujwwixyjwzjwzjwzkwzkwz\ kvzkvzlvzlvzlvzluzmuzmuzmuzmuzntzntzntzntzotzoszos\ zoszpszpszprzprzqrzqrzqrzqqzrqzrqzsrztszutzvuzwvzx\ wzyxzzyzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:multXYZWcompjb-min {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p4, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p5, q=(c^(p3-1)): z=(-z)^(p2)*(q)+c, |z| < 400 } END PARAMETER FILE========================================= _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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FOTD 24-02-05 (Close but no Cigar [8])
by Jim Muth 25 Feb '05

25 Feb '05

FOTD -- February 24, 2005 (Rating 8) Fractal visionaries and enthusiasts: To start, I must admit that today's Julia-like image is abysmally slow. And that is not all. It is merely close to being a Julia set. In fact, it is within 1/2 degree of arc of actually being a Julia set. But it is not a Julia set; it is "Close but no Cigar". If the image were a Julia set, it would consist of nothing but the spider-like arms in the foreground. The brilliant, straight-edged, horizontal bar in the background, partially showing through the spider arms, is actually a grossly enlarged and infinitely stretched view of the area of the Mandel- brot set associated with this particular Julia set. The pure Julia version may be seen by changing the imag(p1) parameter from 90.5 to 90. One benefit of this change is that the Julia set renders in 1/10 the time of the 'almost' Julia set. The spidery arms in the pure Julia set are thicker and not nearly as intricate as those of the 'almost' set, especially in the lower part of the image. And unless I am mistaken, there are fewer arms in the pure Julia set. Of course, in the Julia set the straight-edged feature in the background, which adds most of the interest, is totally missing. The very slow render time of today's image is a bit misleading. When I first rendered the image, I used the old version of the multXYZWcompjb-min formula. Since then, I have moved the term (c^(p3-1)) to the initialization part of the formula, which lets it be calculated only once for each point rather than recalcula- ted at every iteration. This cuts the render time almost in half. All previous versions of the multXYZWcompjb-min formula should be replaced with the version that is included in today's parameter file. The 'frm:' that precedes the formula name must be removed before the formula can be included in a formula file. I have rated the image at an 8. This might be a bit overblown, but I rather like the image, and feel that it is worth the 8. But even with the new version of the formula, the image is a slow one that is much more convenient to download. I have sent the image on ahead to Paul, so it should be posted to the FOTD web site, ready for download, shortly after you read this. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Wednesday turned out not too bad here at Fractal Central. The sun was visible about half the time and the temperature reached 43F 6C, which is about where it should be at this time of year. The cats spent about an hour in the yard, which is a little below their normal time outdoors. Their evening tuna was near average. But this morning I see light snow falling, with heavy snow forecast for later today. The duo might not have a good day. I expect an average day, but then, even an average day is filled with things of interest. The next FOTD will appear in 24 hours. Until then, take care, and look beneath the surface of the everyday things of life. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Close_but_no_Cigar { ; time=2:26:36.40--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multXYZWcompjb-min function=ident/flip passes=1 center-mag=-0.419308/3.33067e-016/1.62121\ 2/1/90/3.88578058618804789e-016 params=90/90.5/1.2\ /0/1.1/0/0/0/-0.818/0 float=y maxiter=100000 inside=0 logmap=15 periodicity=10 colors=000PIVPIWOIXOJYNJZNK_MK`MKaLLbLLcKMdKMeJMfJ\ NgINhINiHOjHOkGPlGPmFPnFQoEQpEQqDQrDQsCQtCQuCQvDQw\ DQwDQwEPwEPwEOwENwFNwFMwFMwFLwGLwGKwGJwGJwHIwHIwHH\ wHHwIGwIFwIFwJEwJEwJDwJCwKCwKBwKBwKAwLAwL9wL8wL8wM\ 7wM7wM6wM6wL8wL9wKAwKAwKAwJAwJAwIAwIAwIAwHAwHAwGAw\ GAwGAwFAwFAwEAwEAwEAwDAwDAwCAwCAwBAwCAwDAwEAwFAwGA\ wHAwIAwJAwKAwLAuMAsMAqNAoOAmPAkQAiRAgSAeTCcUEaVG_W\ IYXKWXMUYOSZQQ_QO`QMaQKbQIcQGdQEeQCfQAfQ8fQ6gP5gP5\ hO5hO5hO5iN5iN5iN5jN5jO5kP5kQ5kR5lS5lT5kU4lV5lW6lX\ 6lY8mZAm_Cm`EmaGnbIncKndMneOofQogSohUoiWpjYpk_plap\ mcpneqogqpipqkormnsomtqluskvujwwixyjwzjwzjwzkwzkwz\ kvzkvzlvzlvzlvzluzmuzmuzmuzmuzntzntzntzntzotzoszos\ zoszpszpszprzprzqrzqrzqrzqqzrqzrqzsrztszutzvuzwvzx\ wzyxzzyzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:multXYZWcompjb-min {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p4, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p5, q=(c^(p3-1)): z=(-z)^(p2)*(q)+c, |z| < 400 } END PARAMETER FILE=========================================

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FOTD 23-02-05 (Seeing Triple [7])
by Jim Muth 24 Feb '05

24 Feb '05

FOTD -- February 23, 2005 (Rating 7) Fractal visionaries and enthusiasts: I enjoy finding well-defined fractal 'objects', such as the mathematical dead-ends for wandering points known as 'midgets' or sometimes 'atoms'. The assemblage illustrated in today's image might or might not be considered a fractal 'object', but it is an interesting collection of fractal things regardless, and it is invisibly filled with the true well-defined 'objects' known as midgets. I named the image "Seeing Triple". The name is an exaggeration of the more common phrase 'seeing double'. The name came about when I noticed that the image had left-right symmetry. Then I looked again and discovered that the opposites were reflections of reflections. They were identical. A third look revealed that the opposites are not reflections or rotations at all -- they are totally different, and no reflection or rotation can ever make them coincide. The parent fractal combines negative portions of Z^(-1.26) and Z^(-12.6). It is a variation of the parent which produced the series of FOTD images that ended about a week ago. The coloring features pastel tints inside the non-symmetrical objects, which contrasts with the intense deep blues of the surrounding environment. I am not sure the rating of 7 is totally earned, but the image does appear to be at least above the FOTD average. The render time of 7 minutes is within reason. If 7 minutes is not reasonable, the wait can be eliminated entirely by down- loading the completed GIF image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The sun broke through in mid-afternoon Tuesday here at Fractal Central, but the temperature reached only 45F 7C, which was a bit too chilly for the paws of the fractal cats, who spent only 45 minutes outside. Their evening was improved however by a generous treat of tuna. Today is starting partly cloudy and colder. It looks rather bleak for the duo. For me the day looks normal -- at least so far. The next FOTD will appear in 24 hours. Until that magnificent moment arrives, take care, but have fun. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Seeing_Triple { ; time=0:07:11.71--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+3.91423665492388400/+0.003269872083774\ 09/171588.5/1.168/10.7/-2.30992197591817217e-009 params=-5/-1.26/-0.5/-12.6/0/625 float=y maxiter=5000 inside=0 logmap=129 periodicity=10 colors=000G0MG0SG0PG0TG1UG3UG4XG4XG7`GBaGCgGGgGJnH\ KpHOuJSvJKzKXzTWzXazbZzgezj`zjdzjeujdhjcojaKjaXlOJ\ lBvn0Xn0co0`q0Xq4UsBPsGMuMJwUGw`Cyg9yi7yhfyMzqBzj1\ yc0qY0l090060040030010300600900C00H00K00O01S01X03`\ 03c04g04h00h00h00h40hB0hG0cM0`S0XX0Ua0Og0Kl0Hq1Ew3\ 9z66z73zB0zCSg0Vh0Xj0`l1an4do9gqCjsGluJnwOqySszVwz\ YyzczzdzzdzzdwzdnzdgzdYzdSzdOzdOydOwdOudOsdPqdSodU\ ndVldVjdXjdXhdYhg`gh`gjadjaelccnfcodaokaqgaspauobu\ rczwdzuezzfzxgzzhzzizzjzzkzzlzzmzznzzozzpzzqzzrzzs\ zztyzuyzvwzwuzxuzywzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwz\ zwzzwzzwzzyzzyzzyzzyzzyzzyzzyzzyzzyzzyzzyzzyzzyzzy\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzusz\ qjzlczhXzcOz`HzV9zS3zM0zJ0zE0zB0z70zB0zE0zG0zJ0zK0\ zO0wS1uU4qX7oYBlaEhdGggJcjMalPYoUVsXUu`PycOzgKzjHz\ nGzw0Vw0Uw0Sw0Ow0Mw0Kw0Jw0Hw0Ew0Cw0Bw09w07S0oK06J0\ 7G09E0BB0C90E60G40H10J00K } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 22-02-05 (The Hidden Squid [7])
by Jim Muth 22 Feb '05

22 Feb '05

FOTD -- February 22, 2005 (Rating 7) Fractal visionaries and enthusiasts: With a minor rush lying on the shelf beside me, and a customer coming to pick it up this afternoon, I will have to be terse in today's FOTD discussion. When I saw today's image I was reminded of squid tentacles, yet at the same time, no squid body was visible, leading me to name the image "The Hidden Squid". The image is part of the Julia set that corresponds to the western shoreline of the Mandelbrot fractal created by the formula (-Z)^1.5*(C^0.1)+C. The rating of the image is 7, and most of this rating depends on the striking definition of the tentacles. Almost all the effect of squid tentacles was achieved by arranging the color palette to emphasize the tentacle-like shapes. In themselves, the underlying fractal shapes are hardly worth a rating of 5. To speed up today's formula, I have made a small change in it. The change is minor, and does not affect the running of any parameter files that were created with the earlier version. The render time of 12 minutes is true on my worn-out fractal machine. On my newest unit it renders in just under 2 minutes. But regardless of the speed of the computer, a download of the image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> will likely be faster. A bit of hazy sun in the afternoon and a temperature of 50F 10C gave the two fractal cats one acceptable hour in the thicket at the bottom of the yard here at Fractal Central on Monday. When they came inside, they chased each other up and down the stairs like kittens a few times before asking for their tuna. Today is starting cloudy, chilly and damp. Most likely the cats will be once again mildly satisfied. My day is starting in an average manner, and will most likely end in an average manner, with the next fractal appearing almost by magic in 24 hours. Until then, take care, and how did I ever manage to keep this FOTD going for almost 8 years? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Hidden_Squid { ; time=0:12:20.72--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multXYZWcompjb-min function=ident/flip passes=1 center-mag=0.332068/8.60423e-016/15.62891\ /1/90/3.88578058618804789e-016 params=90/90/1.5/0/\ 1.1/0/0/0/-0.7762321652/0 float=y maxiter=6000 inside=255 logmap=51 periodicity=10 colors=000fAaiAVlBPoCItA6rBArCBpEFpGGpHKoKLoLPoNQn\ PUnQVlSYlU_lVbjXdjZgj_iialicnjcridoidlgdigdffdbfd_\ ddWddVbdSbdPadLadI_dFZcB_b7`a6a_AbYDcWFdUIeSLfPNgL\ QiHSgGVfEYdC_bBbaAf_AiYAlWAoVArUAuSAyQAzPAzNAzLAzP\ CzQGzUKzWNz_QzbUzdXzgazjdzngzpkztnzuqzytzzxzzzzzzz\ zzzzzzzzztzzlzrdzjWzaPzUGzLAzD7zD6zD6zD4zD4zD2zD2z\ D1zD1xD0tD0qD0nD0kD0gD0dA0eD0eF4gI7gKDgNGiPKiSPiUS\ kWWkY_kablbglfjngonjrnlupozppzptzquzqyzqzzsyzsyzty\ ztyzvyzvyzxwzxwzxwzywzywzzwzzuzzuzzuzzuzzuzzuwzwtz\ wpzynzyjzygyzdyzaxzYxzVxzSvzPvzLtzItzFtzBsz7sz4qz1\ qz0qz0pz0pz0sz0pz0lz0kz0gz0ey0cw0at1Zp2Xo4Ul6SiAPg\ BNdDKaFH_GEWICULASNAPPALQAKSAGNA7QABUAFWAIYALaAPdA\ SfAViAYlAanAbpAftAiuAlyAozArzAuzAyzZxzcwzhwzmwzmwz\ mwzmwzmwzmwzmwzmwzmwzmwzmwzmwzmwzmwzmwymwymwymwymw\ ymwymwzmwzmwzmwzmwzmwzmwzmwzmwzmwzmwzmwzmwzmwzmwzm\ wzmwzmwzmwzmwzmwzmwzmwzmw } frm:multXYZWcompjb-min {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p4, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p5, q=(p3-1): z=(-z)^(p2)*(c^(q))+c, |z| < 400 } END PARAMETER FILE=========================================

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FOTD 21-02-05 (Inside-Out [7])
by Jim Muth 21 Feb '05

21 Feb '05

FOTD -- February 21, 2005 (Rating 7) Fractal visionaries and enthusiasts: In today's fractal adventure I tried to duplicate one of the curious rectangles that exist in the Z^2.003+C Julia set with a C value of -1.7435. When I searched the Z^4.003+C Julia sets, I found no more rectangles, but I did find a very interesting Julia set. Today's image is part of this Julia set. The scene has been rendered in the usual way, with the outside set to 'iter' and the inside set to the number zero. The unusually delicate, lace-like effect is part of the fractal and not a result of program trickery. The rating of a 7 might be a bit high. I am not totally pleased with the colors, which are a bit too intense, and create a certain feeling of 'trying too hard'. I named the image "Inside-Out". I can see absolutely nothing in the image that could inspire such a name, but all FOTD images need a name, so "Inside-Out it is. The render time of 18 minutes borders on slowness, but may be avoided by downloading the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A bit of philosophy is included in the philofractal version of today's discussion. Sunday was cloudy and chilly here at Fractal Central, but the over-forecasted snow failed to arrive and the temperature of 41F 5C was just warm enough to give the cats an hour in the holly thicket. They would have preferred more time outdoors however, so a generous treat of tuna was needed to get them back in their usual good moods. Today is starting foggy and drizzly, but it is milder. If things dry out, the duo might have a reasonable day. My day will feature more of the same. The next FOTD will appear in 24 hours, with all the trimmings. Until then, take care, and expect the best. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Inside-Out { ; time=0:18:05.49--SF5 on a P200 reset=2004 type=julzpower passes=1 center-mag=0/-0.0202841/880.7 params=-1.222755/0/4.003/0 float=y maxiter=2000 bailout=9 inside=0 symmetry=yaxis periodicity=10 colors=000zEitKllPodUrXXvPayHgz9lz1ozzUzzXzzXrz_dz\ _UzaHza6za0zg0zi0zo0zr0zv0zy0zz0zz0zz0yz0vz0tz0rz0\ rz0tz0vz0yz0zz0zz0zz0zz0zz4zz9Pz_0oy0to0yg0z_0zS0z\ H0z90z10z00z00z00z01z04z06z09z0Hz0Mz0Sz6XzEazMgzUo\ zatziyzrzzyzzzzzzvzzdzzMzv4ztCzlHzgPzazzU0zP0zKezE\ rw6yu1zs0zu0vv1wrCXdMKSX6Ed04t0Mw0Oz0Sz0Wz0Zz0iz01\ z09y0Hv0Pt0Mt0Hr0Er19r64oC1oH0oM0lS0lX0la0ig0ii0io\ 0dr0at0Xy4UzCPzKMzPHzXEzd9zl6zt1zz0zz0zz9zzMzy_zvl\ ztyztldt_EtM0m00m00m00m00m00m00m10m40d60l900r00i00\ d09_0MS0XM0iH0m00m00_0S0zP0vM0tK0rH0lE4iC9g9Ea6K_4\ PX1US0_P0dM0iH0oEK0gH0dE0aC0_90f66b4MZ1PS0SM0_K0gH\ 0oEUHgMPaHbX9fS4mM3vHbsqfzzizgzv06lXCiaHggMdlKgrHi\ vElzClzCoz9rz6rz4tz1vz1yz0yz0zz0zz0zz0vz0oz0iz0ay0\ Ul0P_0HM09604000000000000000001004604C06K19S4C_4Eg\ 6El6Ht9Kz9MzCPzCPzXSzrUzzXzz_zzSzzKyzClz6at0Pl0Ed0\ 1X00P00H00900S40z1_z6az9g } END PARAMETER FILE=========================================

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FOTD 20-02-05 (Whin Peel [6])
by Jim Muth 20 Feb '05

20 Feb '05

FOTD -- February 20, 2005 (Rating 6) Fractal visionaries and enthusiasts: In the 'Basically' image of two days ago we saw what happens to midgets on the main stem of the Mandelbrot set when they are very close to being swallowed up behind the bailout radius. In today's image I checked to see what would happen to a midget on the northern filament when it is about to be swallowed up. I reduced the bailout to 2, a setting that cuts off the extremi- ties of the M-set, and zoomed in on the point where the eastern branch of the northern filament vanishes behind the shrinking bailout radius. I chose the closest midget to the cut-off point that I could find. The midget is a very small one, requiring a magnitude that borders on the arbitrary-precision range. I have entered the mathtolerance=/0 into the parameter file to be cer- tain that the more accurate math is used in the rendering. This slows the image somewhat, but the render time of 7-1/2 minutes is still quite reasonable. The overall effect is much the same as what we saw in the 'Basically' image, though the radiating filaments zig-zag, in comparison to the earlier image, where the filaments are straight. The earlier image worked best when the outside was set to 'summ'. Today's image works best however with the outside set to 'tdis'. I had hoped for something a bit better from the day's adventure, and my disappointment shows in the image rating, which has dropped to a 6. The name "Whin Peel" is a variation of the word 'pinwheel'. Things could be worse; a rating of 6 is still above average. And the 7 minutes spent in rendering can be saved by downloading the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Despite ample sun, the temperature stayed below freezing all day here at Fractal Central on Saturday. The fractal cats, whose delicate ears are subject to frostbite, waited until late after- noon before asking to go out, and then strayed no farther than 6 feet from the back door. 20 minutes later, when they were warm again inside, Tippy brought up the topic of tuna, and Thomas agreed. Today is starting almost as cold, and in addition the clouds are increasing with heavy snow forecast by evening. I doubt that the duo will have a good day. The philosophy will appear in a few days. The next FOTD will appear in 24 hours or so. Until then, take care, and don't get overrun by a hit-and-run fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Whin_Peel { ; time=0:07:32.58--SF5 on a P200 reset=2004 type=mandel mathtolerance=/0 center-mag=-0.0167732024585018/1.00547719359285659\ /2.508589e+013/1/172.55883670143217/0 params=0/0 float=y maxiter=850 bailout=2 inside=0 outside=tdis periodicity=10 colors=000TcDSdCQeBOgANh9Li9Kj8Il7Hm6Fn5Eo5YrDptLn\ qOmnQlkSkhUjeWicYh`_gYafVceSedQg_SiVTkQVmMWoNVlOUj\ PTgPSeQRbRQ`SPYSOWTNUUMRVLPVKMWJKXIHYHFYHDTJKPKRLM\ YGNdCPk8Qr6Mo4Il2Ei1Ag4Cd7Eb9F`CHZEJXHKUJMSMNQPPOR\ RMUSJWUHZWF`XDcZBe_9eY8eX8eW8eV7eU7eT7eS7eQ6eP6eO6\ eN6eM5eL5eK5eJ5ZYBSkGMyLNoROfXPYbQOhRFnR6sPKhNXZLi\ OKvEMuJOtOPtSRsXTraUreOmcIhaCc_6ZY0VX4UV7TUASTDRSH\ QRKKPNOOQONUNMXML_LJbKIfJHiIGlHFoHElFDiEDfDDdCDaAC\ Z9CW8CU7CR5BO4BL36J21L79MCGO7NP7VRCaSHhTHjRGcPKYNO\ RLSLJVFSTN`WViUYUC0`40e60h8_iAbfCefEhiGkoInfKqcMtl\ LxoLzuLzuLzyGzzIzzKzzYzzZzzZzz`zzczzhzzhzzhzzhzzhz\ zhzzmzzmzzrzzrzzwzzwzzzzzzzNQAIU4GUUEksHjoJilLhiNg\ fPfcRe`TdYVdVZcRabOdaLg`Ij_FmZCpY9sY6p_7l`7ha7dc7`\ d7Xe8Tf8Ph8Li8Ij8Fk8Hj9Jj9Ki9MiAOhAPhARhBTgBUgBWfC\ YfCZfCYR_YBvTFoPIhLMaHPWDTP9WI5_B1b51ZB1VH1SN1OT1K\ Z1Hc3J`4LZ5NX6PV8RS9TQAVO } END PARAMETER FILE=========================================

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Re: Shattered Shells philosophy
by Jim Muth 19 Feb '05

19 Feb '05

At 11:22 PM 2/17/05 -1000, David wrote: >IOW, you want [the generation of self-awareness demonstrated] >objectively ... Are you, perhaps, thinking of Objectivism, Ayn >Rand's glorified version of selfishness? ;-) (Let's move this to the philofractal list.) Yes, having the mechanism of the generation of self-awareness demonstrated objectively would be a great idea. If it were done subjectively, that is if it were dreamed, I doubt that it would carry much conviction. :-) I have read a number of books about consciousness, and so far they have done more to convince me that self-awareness is not an emergent phenomenon of the brain than to convince me that it is. The books describe in intimate detail the inner workings of the brain in various stages of consciousness and unconsciousness. But they all invariably arrive at the point where interacting neurons must fade into the background and conscious thought emerge. At this point the writers imply, 'and then a miracle happens'. And at this point, I start thinking, 'the writer is merely spinning a lot of fancy words. He knows quite a bit about what happens in the conscious brain but he really does not know how this activity produces consciousness'. I would like the cognitive theorists to be more specific at the point of the miracle. It is one thing to describe what happens in the visual cortex when we observe a lovely scene; it is quite another to explain how a mushy pound or so of meat can have the awareness of the activity of its visual cortex. How can a brain be aware that it is observing a lovely scene and then feel the emotional elation? If our present methods of doing science are incapable of finding the answer, perhaps we should invent some other means of investigation. To keep on topic, I would also like to know where fractals come from. Jim M.

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FOTD 19-02-05 (Super Membranes [8])
by Jim Muth 19 Feb '05

19 Feb '05

FOTD -- February 19, 2005 (Rating 8) Fractal visionaries and enthusiasts: Today's image was created with the MandelbrotMix3a formula. This formula works much like the MandelbrotMix4 formula, with the exception that it combines four different powers of Z rather than two, and a critical starting point of Z must be calculated separately and entered as the real(p5) parameter. Since calculating critical points is too much like work, I rarely use the M-Mix3a formula. To produce today's image I combined various portions of Z^(2), Z^(-3), Z^(4), and Z^(5), and entered them as the first four parameters. The (p5) parameter is one of the formula's critical points. The parent fractal consists of two large Mandeloids surrounded by a horde of much smaller isolated and disconnected Mandelbrot midgets. Today's image shows one of these cut-off midgets. At first glance today's image appears to be a partially evaporated one. This is not the case. Fractals whose generating formulas contain positive powers of Z do not evaporate. Other than the brilliant white inside of the midget, the image consists totally of outside material. The skeletal effect was achieved entirely by rendering the scene with the outside set to 'tdis' and then creating a sharp discontinuity in the color palette, a fact which may easily be demonstrated by rotating the palette a few steps in either direction and observing how drastically the image changes. I named the image "Super Membranes". When I gave it this name I was thinking of 'M-theory' or 'membrane theory' the latest fad in the search for a theory of almost everything, which is augmenting and perhaps replacing 'superstring theory' just as superstring theory replaced the 'grand unified theory'. The rating of an 8 might be a bit overblown, but the image is one that makes the viewer take a second look, so a rating of 8 it will be. For maximum fractal convenience, the completely rendered image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Biting winds, snow flurries, and a high temperature of 28F -2C on Friday kept the fractal cats confined to the relative warmth of the porch, where they sat for no more than 15 minutes. Extra tuna was needed to keep their spirits up. This morning is starting sunny but cold. It looks like a questionable day in store for the duo. For me it looks like an average day coming up, which describes most all days here at Fractal Central. The next FOTD will appear in 24 hours, and if all goes well, it will have a bit of philosophy included in the philofractal version. Until then, take care, and be thoughtful. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Super_Membranes { ; time=0:01:36.88--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix3a function=ident passes=1 center-mag=-2.30831927441704200/+0.742924861375744\ 90/963509.9/1/105/1.52394585894999324e-007 float=y params=1/2/0.5/-3/0.333/4/0.25/5/0.8364500249/0 maxiter=255 inside=255 outside=tdis periodicity=10 colors=000ppZpuXpzWrrVtjVvbVxVVpY_i`daciVfmNh`GjU9\ lc2nm4lr5kvJkzNlzSozWrz`rz`rz`rz`rz`rz`rzTG1XM2_S3\ cX4ea5hf6mk7rq8wv9zz9zwAzvBzuCn`CmdDluEktFknFjnGig\ HhfIifIkeJmeKofKqbQs_WuXawTguQmsMsqIyoLumNrkPoiRlg\ TheVecXbaZ__`XYaZWcaUdcSfeQghPijNjlOijOihPifPjdRkb\ SlaUm_VnYXoWYpU_qT`rRbsPctNeuLfvK_wSVxORyKMzGIzCCz\ 86z4KzKnzWgzSazOVzKPzGJzCCz86z4dz2Wz1Oz1Gz08z0AzY8\ zR6zK4zD2z6DzZ8zN4zBtzDjzAaz8Sz6Jz49z2izVkzX_zOOzG\ Cz8kzWezS_zOUzKOzGIzCCz86z4mzXPzG6zz5zq4zh3z_2zR1z\ I0z91zt0ze0zS0zE`z6Zz5Xz5Vz5Tz4Rz4Pz4Nz3Lz3Jz3Hz2F\ z2Dz2Bz19z18z1Bz5Ez9GzDJzHLzLOzORzSTzWWz_Yzc`zgbzj\ ezfhzbkzZnzVlzUkzTizShzRgzQezPdzObzNazM`zLZzKYzJWz\ IVzHUzGTzESzDRzCQzBPz9Oz8Nz7Mz6Lz4Kz3Jz2Jz1Mz6PzBS\ zGVzKMz3PzFRzRTzbVznXzzZzy`zybzxczxezwgzwhzvjzvlzv\ mzuozuqztrzttzsvzswzstztqztnzulzuizvfzvczwazwczrdz\ mezhfzcgzZhzUizPpzcpzazzz } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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FOTD 18-02-05 (Basically a Fractal [7])
by Jim Muth 19 Feb '05

19 Feb '05

FOTD -- February 18, 2005 (Rating 7) Fractal visionaries and enthusiasts: With today's fractal image we return to the grand-daddy of all fractals, the Mandelbrot set, where we examine a tiny midget near the extremity of the negative stem. We are in an area where the bailout radius makes a tremendous difference in the appearance of the image, especially when the image has been rendered with the 'outside' set to 'summ'. Though the magnitude of today's image is in the arbitrary precision range, it is still a fast one, rendering in under 2 minutes on my machine, making it easy to check the effect of changing the bailout radius. This area of the M-set has been so thoroughly explored that little remains to be said about the image other than to state the fact that it is basically a fractal, which explains the name, "Basically a Fractal". I was ready to rate the image at an average 5, but then I found today's color palette. The colors work unusually well on this particular image, and enabled me to raise the rating to a 7. As has been the case for a number of years, the completed image has been posted for download on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The philosophy is not yet ready, and will take a few days yet. But anything worth having is worth waiting for, so be patient and remember that patience is rewarded. A cold wind brought flurries of snow to Fractal Central Thursday afternoon. The fractal cats tried to enjoy their time in the yard, but the temperature just above freezing was too chilly for their sensitive whiskers, and they came inside after less than 15 minutes. A generous serving of tuna eased their disappoint- ment. With a temperature of 25F -4C, today is starting even colder, and more flurries are in the area. Things do not look good for the duo. My day will consist of work and fun. The work comes first; the fun comes later. The next FOTD will appear in 24 hours. Until then, take care, and decide on your fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Basicaly_A_Fractal { ; time=0:01:36.06--SF5 on a P200 reset=2004 type=mandel center-mag=-1.9999999999966\ 338676581944/0/8.619129e+021 params=0/0 float=y maxiter=5000 bailout=4 inside=0 outside=summ symmetry=xaxis periodicity=10 colors=000KalNbmPcmScnVdoXeo_fpbfpdgqghqjhrlirojsq\ jsR33S44S54T64T74U84U94VA4VB4WC4WD4XE4XF4YG4YG4_H6\ `H8aH9bIBcICeIEfIFgJHhJIiJKkKLlKNmKOnKQoLRqLTrLUsM\ WtMXuMZvM_uPYuRXuTWtVVtYUt_TsaRscQsePrhOKQNKTMqnKq\ qJPnIPnHUhhpjFguDZrBQn9Hk78h69g89g99gA9fCD6LFEOGLR\ HTTIWSJjeKn`LubUkdaafiThqJjyAkzzzxvzwtzqvzoyzilzhh\ zgeyv426D6VuNcpZlkjn1QmDNlOKkZIhaLfdNdgQbjS`mUSbSK\ TQBJO39N5KP6UQ7cS8mT9wUCmTEcTHVTJLSMBSO2STCVXMYaW`\ edcYXaRQ_JJYCCW55VH9OTDIdGCXKKPOSHRZ9Vf2Ym6_hAadEb\ _IdWMeRQgNThJXjQ`kXdlchmjlnqooxglp`ihTf`McTE`L7YD0\ W68YEG_MOaUWc`cehkgpriwi`r`SnSKjaN`kPRuRIDGiFEfHCc\ JA`K8ZM6WO4TQ2QR1ON7NKDNHIMEOMAUL7ZL4dK1iK3hR5gY6g\ d8fkAerBex8ix6mx4qx2ux0xx1sv1ot2kr2gp3cn3_l4Wj4ShD\ VgLXfU_eaaeYfhVjkJde8_`CedFjhIplLupOztSwtWut_stcpt\ gntjltanuTouKpvBqv3rv7npAjkDgfHc`K`WNXRQUMLTTHTZDS\ d8Sj4Rp0RvScasoIjkQahYTde } END PARAMETER FILE=========================================

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Re: Shattered Shells philosophy
by Jim Muth 18 Feb '05

18 Feb '05

At 01:29 PM 2/16/05 -1000, 'gnome' wrote: >Jim, I sent the link to your Shattered Shells FOTD >philosophy discussion to a friend of mine. He >responded with "Aside from the huge leaps in logic, >the wrong information, it's about as good as this": > >http://www.setaihedron.com/mind.htm > >Just something to further fuel your philosphizing! The material at the web site reads like the nonsense filler in a spam e-mail. Philosophy that must bury itself in such a deluge of words all too often holds nothing but emptiness. This is exactly the kind of stuff that convinces me that the materialistic view of consciousness is a blind alley. I am convinced that it is impossible for the activity of the brain to generate consciousness. The writer of the article on the web site apparently thinks otherwise, but he fails to make it clear how, in his opinion, self-awareness can arise from the interaction of unconscious brain regions. He should read a few books such as "The Astonishing Hypothesis" by Francis Crick and re-write his article to make his idea of the actual consciousness-generation process clearer. I am still waiting to see someone describe the actual birth of that initial spark of self-awareness. I want to see the change from objective to subjective made as clear as the teachings of geology. I will not accept any evasive apologies such as 'some things we shall never know'. And BTW, if we're going to continue this discussion, let's move it to the philofractal list. Jim (am I describing my own stuff?) M.

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FOTD 17-02-05 (Fractal Pyrotechnics [8])
by Jim Muth 17 Feb '05

17 Feb '05

FOTD -- February 17, 2005 (Rating 8) Fractal visionaries and enthusiasts: Today's image takes us one final time to the parent fractal that is based on variations of the real cube-root of -2. The visit has most certainly been productive, but the time has come to move on to new vistas. I named today's image "Fractal Pyrotechnics". The gaudy and perhaps overly intense colors remind me of a display of fire- works. The scene is located very near that of yesterday's image, though it is not 'evaporated', and lies not quite so deep in the parent valley. The rating of an 8 seems appropriate for such a brilliant scene. This rating might be a bit exaggerated, but I also might have a tendency to under-rate my images, so the rating of an 8 will remain. To assure that the image renders at the correct magnitude, I have inserted the mathtolerance entry into the parameter file. This entry forces the program to continue calculating even beyond the limit of total precision, but it must be cleared from the en- vironment to enable the program to switch to arbitrary precision math when this is available and needed. The render time of 33 minutes is a bit on the slow side, but the wait may be avoided by downloading the completed image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The time for the next installment of philosophy, when one of two extremes could happen, is but a few days off. At that time, depending on the opinion of the reader, either the secrets of the universe will be revealed, or I will show myself to be totally mistaken. It is most unlikely that I will solve a puzzle which, for thousands of years, men greater than myself have been unable to solve. It is equally unlikely that every thing I say will be totally incorrect. The best I can hope for is that those who claim I am mistaken will point out and correct my mistakes, and not simply disagree because my opinion conflicts with their world-view. The outcome will be, as it always is, a continuation of the puzzle, but it's still fun to speculate, and I excel at speculation, so don't go anywhere. Wednesday morning was sunny and warm, with a temperature of 63F 17C, but clouds moved in shortly after noon and a rain squall struck an hour later, dropping the temperature to 48F 9C. An extra treat of tuna was needed to ease the fractal cats' disap- pointment. Today is starting with hazy sun and midwinter cold. The duo seems doomed to more disappointment. For me it looks like the usual day coming up, meaning finish the commercial work and see what waits in fractal land. It's a good thing I got my life long ago. I have no idea where I could find one now that fractals have arrived. I have no idea where I'll find the next FOTD image either, but for some reason, the images always seem to be there when I go searching. Until the next FOTD appears in 24 hours, take care, and be happy when the day's work is finished. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FractalPyrotecnics { ; time=0:09:29.58--SF6 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+3.84091441329794800/+0.036284968899841\ 80/2.576231e+012/1/-7.5/0 params=-5/-1.26/-0.5/\ -12.6/0/525 float=y maxiter=2500 inside=0 logmap=689 periodicity=10 mathtolerance=/1 colors=000a5ca5ab5_c6Yc6Wd6Ud6Sf9RgCRhERiHRjJRkMRl\ ORnRQoUQpWQqZQr`QscQteQqfSofTmfUjfVhfWffXdfYafZ_f_\ Yh`VfaThbRfcPhdNgfMggLghKfiJgjIekHhmGdnFfoRbmDdqV`\ lBas`XlQYofSmdUljLgjMdiH`hOThBTg9Hf7Bd25b6A_6EZ7IT\ 7MW8QS8US8ZR9bR9fQAjQEmPArPIrOQtONoNOmNNkNMfNOfFK`\ 7S`BNYEVYHTYLZYOZYRaYVcYUcY`dYUbYgbYT_Y``XRXWIRWTU\ V09V`RXJBZeR`aDboLdtEfwR`uPWv`Rv_MwhHwjCxo7xo2vr3u\ q3tu3ru3qu4pu4nu4mu4lu4ir4gq4em4cl4ah4Zf4Xb4V`4TY4\ RW4OT4MQ4KO4IL4GJ4QIVZHu_Is_Jq`Kp`LnaMmaNkaOibPhbQ\ fcRecSccTbbYdaae`ef`ig_mhZqiZrjVqbRpWOoOKnHHmAGl9F\ k8Ej8Di7Ch6Bg6Af59e48d47c36b25a24`14_17Z4AY7CWAFUC\ HSFKQIMPLPSNRVQUYTUYWWZVX_UZ`T_aS`aRbbQccPedPfdOgc\ NicMjcLlcKmdJndJreGveDxeFyeByQ7yB3pTShjpehlbgi`feY\ ebVd_TcWQbTOaPL`MI_JGZFDYC4P2BX9HdGNlNZrUTsUNsUItU\ CtU7tU8sT9sTAsTBrSCrSDrSErSEqRFqRGqRHqRIpQJpQKpQIs\ OKtQLuRNvTOwUQxUSyUUzUWzU } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Re: Shattered Shells philosophy
by gnome＠hawaii.rr.com 16 Feb '05

16 Feb '05

Jim, I sent the link to your Shattered Shells FOTD philosophy discussion to a friend of mine. He responded with "Aside from the huge leaps in logic, the wrong information, it's about as good as this": http://www.setaihedron.com/mind.htm Just something to further fuel your philosphizing! David gnome(a)hawaii.rr.com

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FOTD 15-02-05 (Iterative Amusement [9])
by Jim Muth 16 Feb '05

16 Feb '05

FOTD -- February 15, 2005 (Rating 9) Fractal visionaries and enthusiasts: To add a bit of variety to today's adventure, I changed the portions of Z in the parent fractal that I have been exploring for a week. Instead of positive portions, we now have negative portions. This change creates an even more interesting fractal. Yesterday's image turned out so well that I tried the same partial-evaporation trick again today. I rendered the scene with the inside set to 'bof61' and the outside set to 'tdis'. The resulting image rates another 9. I found today's scene in a part of the parent fractal shaped like a fan. There are many more unusual features in this new parent fractal, which I will be exploring for a few more days before moving on to something entirely new. Much of the purpose of fractals is simply amusement. This is the reason I named today's image "Iterative Amusement". The relatively fast render time of 3-1/2 minutes makes the image that much more amusing. The image may be seen in even less time by downloading it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> It rained all day Monday here at Fractal Central, keeping the fractal cats safely confined to their indoor shelf by the win- dow. They had one thrilling moment when a squirrel carelessly climbed onto the ledge outside the glass, and they both sprang to the attack. When the squirrel saw two cats eyeing him, he took off like a bat out of you-know-where. Today is starting cloudy, but it is milder, and promises to be far more pleasant, both for the squirrel and the dynamic duo. For me, it will be a satisfactory day if I end it with no work piled up. The philosophy is still a couple days off, but the next FOTD will appear in 24 hours. Until then, take care, and think kindly of your amusing fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= IterativeAmusement { ; time=0:03:25.05--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+2.00805949912494/+1.2384635446208/1621\ 5.65/1/165/2.53985141251966695e-009 maxiter=1000 float=y params=-5/-1.26/-0.5/-12.6/0/1000000000 inside=bof61 outside=tdis periodicity=10 colors=000t4gr5fp5dn6cl7aj8`i8Zg9XeAWcBUaBT_CRYDQW\ EOVENTKXRQeQVnPUkPTiOTfOSdORbNR_NQYNPWMPTMORMOPLMN\ KKLJIJIHIHFGGDEGCDFABE89D78C56B34B23C54D74E94GC4GE\ 4IG4KI4NL4PN4RP4TR4WU4YW4_Y4`_4bb4cd4df4dh42Gx3Iv4\ Jt5Ks6Lq6Mp7Nn8Ol9Pk9QiARhBSfCUdDVcDWaEX`FYZGZXG_W\ H`UIaTJbRJcQNaUQ`YT_aXZe_XhbWlfVpiUtlTwkUxjVxiWxhX\ xgYxfYxeZxd_xc`xbaxabx`bx_cxZdxYexXfxWgxVgxUhxTixS\ jxRkxQlxQlxThwWdwZ`waYwdUwfQviMvlJvoFvrBvt8vsBtrEs\ qHrpKqpNpoQonTnmWmlZll`kkcjjfiiihhlghofgrefudexcez\ bcxaawa`uaZtaYr`Wq`Vo`Tn`Rl_Qk_Oi_Nh_LfZKeZIcZHbZI\ aYJaXKaWLaVMaUN`TO`SP`RQ`QR`PS`OT_NU_MV_LW_KX_JYZI\ ZZH_ZG`ZFaZEbZE__HY`KWaNTbQRcTPkzNlwKlyImzGmzEnxBn\ w9nv7mu5lt8krAjqDioFhnHglKfkMeiPdhRcfTbeWacY`b__a`\ ZZ`YX`YV`_T``Q`bO`cM`eK`gH`hF`jD`kB`m8`n6`p4`q2dp5\ go8joBnnDqnGtmJwmLukMtjMsiMrhMpgMofNneNmdNkcNjbNi`\ Oh_OfZOeYOdXOr2hu2jx2kv3i } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 16-02-05 (Broken Arms [8])
by Jim Muth 16 Feb '05

16 Feb '05

FOTD -- February 16, 2005 (Rating 8) Fractal visionaries and enthusiasts: When the time arrived to name today's image, I remembered one of the greatest disappointments of my childhood -- the evening when my father explained to me that the professional wrestling exhibition I was watching on TV was not a true competitive sport, but rather an entertaining show. The whole thing is an act, he told me. The wrestlers have a script, and the winner of the match is written in the script, he explained. I had already begun to suspect that something about the 'sport' was not as it appeared, and was truly let down to hear that my heroes were mere theatrical performers presenting a pre-arranged show. A couple weeks later my father took me to a wrestling match at a local college so that I could see the real thing. Without the theatrics, the real thing was totally boring. I soon lost interest entirely in wrestling. The name "Broken Arms", which I gave to today's image, is an attempt to capture the spirit of excitement I felt when I saw those theatrical wrestlers performing on TV, with all the phony blood and broken bones, and assumed that I was watching the real thing. Of course, bones were rarely actually broken in professional wrestling, just as no bones are broken in today's image. Broken bones are impossible in a fractal because fractals have no bones. Fractals are nothing more than one of the things we people have decided to do with numbers. Today's image rates an 8. This rating might be a bit overblown, but the image is still a rather striking 'evaporated' one, which was found in the parent fractal of yesterday's FOTD fractal. The render time of over 26 minutes is slow, so I advise downloading the finished product from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Tuesday was near perfect here at Fractal Central. The weather brought warm afternoon sun and a temperature of 61F 16C. These pleasant conditions made the fractal cats so happy that they passed the entire afternoon in the holly thicket. Only the tiniest treat of tuna was needed in the evening. This morning is starting in a similar manner, but rain is forecast for later this afternoon. Maybe the duo can have their outdoor time before the rain arrives. For me, it looks like another in the unending string of near- average days coming up. The next FOTD will apepar in 24 hours. The next philosophy, which may be believed or not, will take a few more days. Until tomorrow's FOTD, take care, and one can enjoy as many fractals as they wish, and never gain a gram. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Broken_Arms { ; time=0:26:23.44--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+3.91423377864804300/+0.003269821435727\ 34/1.930907e+008/1/-132.5/-1.81908083652371211e-005 params=-5/-1.26/-0.5/-12.6/0/1e+100 float=y maxiter=6000 inside=bof61 periodicity=10 colors=000nfIrhIviIthJsgKrfLqeModNncOmbPzeQk`Rw_Sh\ ZTgYUfXVeWVbXT_XRXXPUXORXMOXKLXJJ`OIdSGgWFk_EocCrg\ Bvkmyomxmmwl00kG0jmuiJ0gmtfmtemsdmrcmramq`mp_mpZmo\ YwoXX0Zwp`wpbwqdwqf`0hwrjwrlcrncrpYhjTZeNP`IGWLJZO\ L`RNbUPdXRgZTiaWkdYmg_pjarmctoevnftnfrngpngnnhmnhk\ niinignjenjdlVmjGucIpYJkSKgMLbGMYANUIVfPbsOfgNjXMm\ MLqBKt0Mo2Ok4Qg5Sb7UZ8WVAYRB_MDaIEcEGeAHm_KtyNlvUe\ s_ZpeSmkLjqNllOmgPnbRoYSpTTqONXDHD2NQBSbKXnSZiN`eI\ aaDeYFhVGkSInPJqMKtJMwGNzDOrBMj9Lb7KW6IO4HG2G91FB2\ HD2IF3JH3KJ3ML4NN4OP0PR0QT0SV0TX6UZ0V_6Wa5Tc5Qe5Og\ 5Li5Jj5Gl5Dn5Bp58r56t53u51u72u83uA4SXjRWjQVjOUiNTi\ MSiKQiJPiIOhHNhFMhELhDJhCIgAHg9Gg8Fg5Ci7Eg8FeAGdBH\ bDIaEJ_GKZHLXJMWKOUMPTNQRPRQQSOSTNTULVVKWWIXXH`TId\ PIhLIkIIoEJsAJw6Jz3Jy5My6Oy7Qy8Sx9UxAWxBYxC_wDawEc\ wFfwGhvHjvIlvJnvKpuLruMtuNvuOxrPvpQunQslRrjSphSofT\ ndUlbUk`ViZVhXWfVXeTXdRYb } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Fractint-Multifractal-Artefacts
by Albrecht Niekamp 16 Feb '05

16 Feb '05

Hi, the image came about in the initial stages of my multifractal project. I erased the formula when I saw it was buggy, the image was not finalized. When I looked at it, it was too late. It contained artefacts, small fractals ready to zoom into within the circular "windows", which are created by Linda Allisonïs many-mods formula. They are not possible to reproduce, so they must be artefacts. Lately, when I cleaned up the work folder I saw that the dos-commander had created a backup file. So voila, here it is. Sincerely, Al. ----------------------------------start-par-------------------------------- Artefacts { ; crated by a buggy formula ; reset=2004 type=formula formulafile=mfr.par formulaname=mfrspecial_2 ismand=y function=exp/exp/exp passes=t center-mag=0/0/0.6666667 params=0.4546494949186682/-0.6008903775139622/384.0001/256.512/2084.0008\ /768.256/768.1536/2560.1025/-4/2 float=y maxiter=2048 inside=maxiter outside=tdis logmap=3 periodicity=0 rseed=-2436 colors=200444222000<25>0bo0cq0es<3>0kz<25>09C08A068<2>022000211<22>keOmg\ PoiQqjRslSunT<2>zsX<25>CB7A96875<3>000400<23>o00q00s00<3>z00<25>C00A0080\ 0<3>000<23>eeegggiiijjjlllnnn<2>sss<18>NNNLLLJJJ<4>CCCAAA888666 } ---------------------------------start-frm--------------------------------- FRM:MFRSPECIAL_2 {; buggy - dont copy ; d=real(p2) fac1=trunc(d) b1=(d-fac1)*10000 ; d=imag(p2) mi1=trunc(d) p6r=(d-out1)*10000 if (mi1<0) mi1=-mi1 endif ; d=real(p3) ba=trunc(d) p6i=(d-ba)*10000 if (ba<0) ba=-ba endif p6=p6r,p6i ; d=imag(p3) fac2=trunc(d) b2=(d-fac2)*10000 ; d=real(p4) mi2=trunc(d) fac3=(d-mi2)*10000 ; d=imag(p4) b3=trunc(d) mi3=(d-b3)*10000 ; d1=real(p5) vb=(d1<0) If (vb) d1=-d1 endif ir1=(d1>1000) d1=d1-1000*ir1 wo=(d1>100) d1=d1-100*wo tj=(d1<10) d1=d1-10*(tj==0) v1=(d1==3) v2=(d1==4) d1=(d1==2)+(d1==4) ; d2=imag(p5) st=(d2<0) if (st) d2=-d2 endif ir2=(d2>1000) d2=d2-1000*ir2 ni=2*(d2>100) st=st*(ni==0) d2=d2-50*ni mj=(d2<10) d2=d2-10*(mj==0) v3=(d2==3) v4=(d2==4) d2=(d2==2)+(d2==4) d3=(ismand==0) t=0 u=1 bx=ba start=2-st-ni if (ismand) z=0 if (vb) c=0.4*log(sqr(pixel^p6i)) else c=pixel endif else c=p1 z=pixel endif : ba=bx if (vb) if (d3) z=(z*z-real(c))^(z*u+imag(c)) else z2=sin(z)+c sqz2=cos(z2) z=c*(1-sqz2)/(1+sqz2) ba=p6 endif else ; q=sqr(z) ; z=real(q)+flip(real(z*q))+c z=z*z+c endif bo=|z| If (wo) t=t+1 if ((t<mi1)+(bo>b1)) u=2*(fn1(t/fac1)) if (ismand) z=z*u c=pixel if (vb) c=0.4*log(sqr(pixel^p6i)) endif else z=pixel c=p1*u endif wo=0 if (ir1) t=0 endif endif else if (start) t=t+1 if (start==2) if ((t>mi2)+(bo>b2)) u=2*(fn2(t/fac2)) if (d1) if (tj) z=pixel endif c=p1*u vb=v2 d3=vb else d3=0 z=z*u c=z if (mj) z=0 endif vb=v1 if (vb) c=0.4*log(sqr(pixel^p6i)) ; p6r=mi2 ; p6=mi2,p6i endif endif start=1 if (ir2) t=0 endif endif else if ((t>mi3)+(bo>b3)) u=2*(fn3(t/fac3)) if (d2) if (tj) z=pixel endif c=p1*u vb=v4 d3=vb else d3=0 z=z*u c=z if (mj) z=0 endif vb=v3 if (vb) c=0.4*log(sqr(pixel^p6i)) ; p6r=mi3 ; p6=mi3,p6i endif endif start=0 endif endif endif endif bo<=ba } -----------------------------------------end--------------------------------

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FOTD 14-02-05 (Shattered Shells [9])
by Jim Muth 14 Feb '05

14 Feb '05

FOTD -- February 14, 2005 (Rating 9) Fractal visionaries and enthusiasts: Today's fractal image is so different, so striking, that little can be said about it. The image speaks for itself. I am not going to speculate about where the voice comes from, but when the image is viewed, the fractal voice will be heard. To find the image, I made a slight change in the parent fractal that I have been using for about a week. I increased the portion of Z^(-1.26) from 5 to 9, a change that causes the whole fractal to shrink while keeping most of its overall features intact. I then searched along the southeast shoreline of the large circular bay. This bay is unusual in that it has no obvious buds along its shoreline, but as today's image shows, it does have midgets. When I found today's scene, I tried the usual tricks on it. I tried all the 'outside' options and found the 'tdis' option works best. Then I evaporated the image and found that none of the 'inside' options makes as good an image as the unevaporated outside=tdis version, though the 'bof60' option works best. Finally, I set the escape radius to 500,000,000, which results in a half-evaporated image. I kept the outside parts set to 'tdis', the inside parts set to 'bof60', and the result was the skeletal framework of today's image. The final step was finding a color palette that brings out the best in an image that is only half there. Though Fractint has only 256-color capability, it gives maximum versatility to those limited colors, and after a half hour or so I had worked up the palette that makes today's image one of the few FOTD's that can honestly be said to rate a 9. When it came time to name the image, I studied it a few minutes, then saw a collection of colorful broken shells scattered on a fractal beach. I named the image "Shattered Shells", the name it will carry for all time. The render time of 7-1/2 minutes is quite reasonable for one of the best FOTD fractal images. But rendering may be avoided entirely by downloading the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The enlightening and informative, (at least IMO), philosophy continues in the philofractal version of today's FOTD discussion. The weather on Sunday was partly cloudy with a high temperature of 46F 8C. The fractal cats, who most certainly eat food other than tuna, spent about 2 hours lurking in the holly thicket, looking for excitement than never happened. When they came inside, a small treat of tuna eased their disappointment. (The tuna is only a special treat. The dynamic duo's main diet is the variety of food that all well-fed cats eat.) But today is starting cold and rainy. I see a bad day coming up for the duo. For me, the commercial work is average, but there is that next installment of philosophy to start work on. The next FOTD will appear in 24 hours; the next philosophy will take several days longer. Until tomorrow, same time same place, take care, and be ready for anything. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Shattered_Shells { ; time=0:07:24.73--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.38892447657072300/-0.704796288496714\ 20/20019.17/1/125/-4.43365483215885092e-011 float=y params=9/-1.26/0.5/-12.6/0/500000000 maxiter=1000 inside=bof60 outside=tdis periodicity=10 colors=000WqoWrpmb7U`2Wa3Xb3Yb4_c4`d4ad5ce5df5ef6f\ g6hh7ih7ji7lj8mj8nk8ol9ql9rmAsnAunAvoBwpBxpBoiFgcI\ _XLRROJKRBEUDDSFCQHBOIAMK9KM8IN7HP6FR5DS4BU39W27X1\ 6XFHRSROd`MqjOolPmm000UiiXghZefacdcacf_ahY_kWZmUXp\ SVrQUnP`kOfhNliMmjLmjKmkKmkJnlInlInmHnmGonGonFooEo\ oEomFolGojHoiIohJofKoeLodMobNoaOo`PoZQoYRoXSoVToUU\ oTUofHUs58kFGcPNWZVOhaSkbVncYqd`tecwffyggwfhvfiuej\ teksdlrdmqcnpcnoconbpmbqlarkasj`ti`uh_vg_vf_se`qe`\ od`mdakcaicagbaebbcbb`abZacX`cV`cT_cR_dPZdNZdLZdM_\ eM_fM_fM_gN_hN_hN_iN_jN_jO_kO_kO_lO_mO_mP_nP_oP_oP\ _pP_pOaqNbqMcqMdrLerKgrKhrJisIjsIksHlsGntFotFptEqt\ DruDsuCuuBvuBwvAxv9yv9uv8sp8oj8ld8j_8hU8gO8fJAeLCe\ MEeNGePIfQKgRMhTOiUQiVSiXUiYWiZXi`Zia`hbahdcheehfg\ hghhijgjlgkmgmngnpgoqgpofomfnlfmkflifkhfjffidficfh\ afg`ffZfeXfdWfcUfcSfbRfaPf`Nf_MfZKfYJfYIeZIdZIcZIb\ ZIa_I`_XecXgeXigXkiWmkWom } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 13-02-05 (A Repeated Scene [7])
by Jim Muth 13 Feb '05

13 Feb '05

FOTD -- February 13, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's image is a repeat of the theme of yesterday's fractal, where a midget is surrounded by concentric closed paths. But in today's image the scene has been evaporated and the remnants made visible by the 'bof61' inside fill, which is the only inside option that produces a worthwhile effect when applied to today's, and most other, evaporated scenes. The parent fractal is the same one that we have been working with for about a week now. To find today's image I examined one of the isolated areas of chaos that surrounds the main body of the fractal like an electron cloud surrounds an atom. (An electron cloud is where an atom's electrons might be located. Electrons have no definite locations in an atom until we deter- mine their locations by observing them.) The overall effect of the image is one of a lush tropical rain forest, and this is what I would have named it if I had not already named it "A Repeated Scene". But, bearing the best name or not, the image still rates a 7, and it renders in under 2 minutes. The image is available, already rendered, on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A brief flurry of snow an hour before noon on Saturday did not deter the duo, for when the snow passed off, the sun returned and the temperature rose to 50F 10C. This is not exactly balmy, but the cats took their coats with them when they went out. After a pleasant and uneventful afternoon, they returned indoors to enjoy their evening tuna. Today is starting much like yester- day, though I see no signs of snow showers. I expect a good day. I see little in store for myself today except fractals and TV. A do-nothing day is welcome now and then, but we would not want every day to be idle. I still have the philosophy to shape up however. So I'll set the chances at 50 percent that the next installment of philosophy will appear in the philofractal version of tomorrow's FOTD -- 80 percent that it will appear by Tuesday. But the chance that the next FOTD will appear in 24 hours is 99.99 percent. Until then, take care, and search for the light in a sea of darkness. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Repeated_Scene { ; time=0:01:43.64--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+7.37986268072519800/+0.388743317939182\ 40/7.894345e+007/1/-115/-2.35870500803342376e-005 params=5/-1.26/0.5/-12.6/0/1e+100 float=y maxiter=750 inside=bof61 periodicity=10 colors=0000zT0zo0zz0xz0vz0mz1iz3cz3_z4Tz6vz6Jy7Fx7\ Ax6Fr4Jm4vi3Sd3X`1`X1dY0iO0lP7gLDcQJ`MPPMVSO`gOgmG\ mzAozFoyIouLooPojSodVo_YpVapPdpLgpFjp9op4rp0up0xuJ\ Myf0vd0uc0sc0ra6p`Ao`Fm_LlYPjYTiX_gVcfVgdTmcSraSv`\ Tr`Vm_Vi_Xd_XaaXdcXffXggXijXjlXmoXopXpsXruXsvXusVr\ rTooSlmQjjPgiOdfMcdL`aJY`IXYGTXFQVDPXGMXJJXMGXODXQ\ CXT9XV6YY3Y`0Yc0Yd0Yg0Yj0Yl0Vl0Sl0Ql0Ol0Ll0Jl0Gl0F\ l0Cl09l07l04l01l00l00l00l00j11i44i77gCAfFDfIGdMJcP\ LcSOdQPfPSfOTgOXgMYiL`iLajJdjIflIilGjmFlmFfpLarQXs\ XSuaOvgIxmDys7zy3zz0zz3xz7rzClzGgxJauOXrSSoXMl_Gic\ Cfg6cl0`o0Yl0_i0_f0_c0_`0`Y0`V0`S0`P0aM0aJ0aG0aD0c\ A0c70c40c30a30a30a10a10a10`00`00`00`00`10Y30V40T60\ Q70P90MA0LC0ID0GF0DG0CI09J07L04M03L36J67I79GACFCDF\ FFDIICJJAML9OO7QP7SQAPTDMVGJXIGYLD_OCaP9cS6dV3fX0g\ _0ja0lc0mf0oi0pj0rl0lm0fo0`o0Vp0Pr0Jr0Ds07u11u30dC\ 0PJ3AQ69S99TA9VD9XF0u70x7 } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Re: [Fractint] FOTD 12-02-05 (The Right Path [7])
by Fr. Jim Lacasse 12 Feb '05

12 Feb '05

I think this should be about an 8 or 8.5. I can not wait to put it on the projector for my geometry class next week. Fr. Jim >>> jamth(a)mindspring.com 02/12/05 07:25AM >>> FOTD -- February 12, 2005 (Rating 7) Fractal visionaries and enthusiasts: Yesterday's image was named "Most Unusual Midget", but it was not really all that unusual, and rated only a 5. Today's image, which is named "The Right Path", would have been better named if it had been given the name of yesterday's image. It is the more unusual of the two. Today's image is located far to the northeast of the main part of its parent fractal, which is the same fractal that has given us the most recent images. The scene is located in a cut-off bit of circular debris inside a large closed ring that terminates the most prominent filament leading from the main part of the fractal. The image got its name from the narrow, winding path that encircles the central midget like a beltway encircles a city. It is truly a path to nowhere. One could travel it forever and never arrive at an end, for, like infinity, it has no limits. The concept of infinity is a strange thing. It is so easy to see that if one were to start traveling along the path in today's image, they would never come to the end because no end exists. Yet if one tries to imagine a straight line with the same endlessness, they find that their mind cannot grasp the entirety of the thing. Even harder to imagine is a half-line, a straight line with only one end. Is it infinite or not? We can see that a straight line with no ends would be longer, for it would extend into regions where the half-line did not. The answer depends on the direction in which we view the line. In one direction it is infinite; in the other direction it has a certain, though unimaginably great length. This half line situation reminds me of a day in seventh grade religion class in a Catholic school, when the nun was re-re-re- telling of how our souls will be perfectly happy in heaven forever if we obey God's commandments in this life. I asked the good sister how heaven could be fair, since those good people who died long ago have already had more happy time than those now living, and no matter how long we are all in heaven the ones who went there first will always have had more happiness than the late-comers. The sister replied that we will be looking forward to our future happiness when we get to heaven and not back to the hardships of earth life. She explained that everyone will be in heaven forever and will therefore have the same infinite amount of perfect happiness. I started to say, "but . . .", and the sister told me to sit down and shut up. Infinity is strange indeed. Any quantity can be added or subtracted from it and it remains unchanged. It can be multiplied or divided by any quantity, even infinity, and it remains unchanged. It can be raised to any finite power and it remains unchanged. (If it is raised to the power of infinity it might become a higher order of infinity -- I am not sure.) Well, I see myself again wandering from the topic, so it's time to note that today's image rates a pretty good 7 and renders in 2-1/2 minutes. It is available for download on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Weak sun and chilling winds here at Fractal Central on Friday kept the fractal cats indoors most all day. They did manage a brief 20-minute sojourn to the holly thicket to check for intruders. When they found none, they hurried back inside to watch the world from their shelf by the window. An extra large treat of tuna in the evening eased their disappointment. Today is looking like it will be another blustery one. The duo is braced for more disappointment. For me it looks like an average day coming up. But sometimes average days can be quite interesting. Check back in 24 hours to see if anything of interest appears in before then. Until next FOTD, take care, and if only we knew which path is the right one. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Right_Path { ; time=0:02:25.11--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+5.20383959978280900/+2.454715711010205\ 00/286974.9/1/55/5.08479132410588619e-009 params=5/-1.26/0.5/-12.6/0/0 float=y maxiter=900 inside=0 periodicity=10 colors=000KgOGhPCiQ8jR4kS7lT9lUBmUDmVFmVHnWJnWLoXN\ oXPoYRpYTpZVqZXq_Zq_XhZV`ZUSZSKZRCZkBtiCqgCnfCldCi\ bDgaDd_DbYD_WEYUEUSEPQEMOEKMDIKDGLCECCCDBAEBAGAAHA\ AJ9AK9AM8BN8CP7DQ7ES9FTAGVCHWDIYFJZGKaILcJMfLNhMOk\ OPmPPoRQqSRsTRuXPs`NqdLnhJjkImoGrsEvwDzzBzzzzzzzzz\ wzRrwWmr`omeqhjrcolZjgUfbPbYKZTIUOHQJGMEFI9EECFDEF\ CHGCJGBMGAOHARH9TH8WI8YI7`I6bJ6eJ5gJ5cN9_QDWTGSXKO\ _NKbRGfVCiY8la4od3oc3ob3oa3oa3o`3o_3o_2oZ2oY2oX2oX\ 2oW2oV2oV1oU1oT1oS1oS1oR1oQ1oQ5mT9lWDkZHi`LhcPgfTe\ hXdk`cndaph`sl_voZxm_yk`yjayhayfbyecyccybdy`eyZeyY\ fyWgzVhzThzRizQjzOjzNkzLlzJlzImzGnzFnzIlxKkwMivOhu\ QgtSesUdrWcpYao_`na_mdYlfXkhYjjZhl_gnafpceredtgcvi\ bxkavmbtobrqbpsbnuclwckyciycgzdezdczdazd_zeZzeXzeV\ zeTzfRzfPzfNzfMzfMzdMzcMzaaz5`z4_z6Zz7Yz8Xz9WzAVzC\ UzDTzESzFRzGQzHPzJOzKNzLMzMLzNKzPJzQIzRHzSGzTGzUJz\ RMzOPzMSzJVzHUzGTzFTzESzD } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE========================================= _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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FOTD 12-02-05 (The Right Path [7])
by Jim Muth 12 Feb '05

12 Feb '05

FOTD -- February 12, 2005 (Rating 7) Fractal visionaries and enthusiasts: Yesterday's image was named "Most Unusual Midget", but it was not really all that unusual, and rated only a 5. Today's image, which is named "The Right Path", would have been better named if it had been given the name of yesterday's image. It is the more unusual of the two. Today's image is located far to the northeast of the main part of its parent fractal, which is the same fractal that has given us the most recent images. The scene is located in a cut-off bit of circular debris inside a large closed ring that terminates the most prominent filament leading from the main part of the fractal. The image got its name from the narrow, winding path that encircles the central midget like a beltway encircles a city. It is truly a path to nowhere. One could travel it forever and never arrive at an end, for, like infinity, it has no limits. The concept of infinity is a strange thing. It is so easy to see that if one were to start traveling along the path in today's image, they would never come to the end because no end exists. Yet if one tries to imagine a straight line with the same endlessness, they find that their mind cannot grasp the entirety of the thing. Even harder to imagine is a half-line, a straight line with only one end. Is it infinite or not? We can see that a straight line with no ends would be longer, for it would extend into regions where the half-line did not. The answer depends on the direction in which we view the line. In one direction it is infinite; in the other direction it has a certain, though unimaginably great length. This half line situation reminds me of a day in seventh grade religion class in a Catholic school, when the nun was re-re-re- telling of how our souls will be perfectly happy in heaven forever if we obey God's commandments in this life. I asked the good sister how heaven could be fair, since those good people who died long ago have already had more happy time than those now living, and no matter how long we are all in heaven the ones who went there first will always have had more happiness than the late-comers. The sister replied that we will be looking forward to our future happiness when we get to heaven and not back to the hardships of earth life. She explained that everyone will be in heaven forever and will therefore have the same infinite amount of perfect happiness. I started to say, "but . . .", and the sister told me to sit down and shut up. Infinity is strange indeed. Any quantity can be added or subtracted from it and it remains unchanged. It can be multiplied or divided by any quantity, even infinity, and it remains unchanged. It can be raised to any finite power and it remains unchanged. (If it is raised to the power of infinity it might become a higher order of infinity -- I am not sure.) Well, I see myself again wandering from the topic, so it's time to note that today's image rates a pretty good 7 and renders in 2-1/2 minutes. It is available for download on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Weak sun and chilling winds here at Fractal Central on Friday kept the fractal cats indoors most all day. They did manage a brief 20-minute sojourn to the holly thicket to check for intruders. When they found none, they hurried back inside to watch the world from their shelf by the window. An extra large treat of tuna in the evening eased their disappointment. Today is looking like it will be another blustery one. The duo is braced for more disappointment. For me it looks like an average day coming up. But sometimes average days can be quite interesting. Check back in 24 hours to see if anything of interest appears in before then. Until next FOTD, take care, and if only we knew which path is the right one. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Right_Path { ; time=0:02:25.11--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+5.20383959978280900/+2.454715711010205\ 00/286974.9/1/55/5.08479132410588619e-009 params=5/-1.26/0.5/-12.6/0/0 float=y maxiter=900 inside=0 periodicity=10 colors=000KgOGhPCiQ8jR4kS7lT9lUBmUDmVFmVHnWJnWLoXN\ oXPoYRpYTpZVqZXq_Zq_XhZV`ZUSZSKZRCZkBtiCqgCnfCldCi\ bDgaDd_DbYD_WEYUEUSEPQEMOEKMDIKDGLCECCCDBAEBAGAAHA\ AJ9AK9AM8BN8CP7DQ7ES9FTAGVCHWDIYFJZGKaILcJMfLNhMOk\ OPmPPoRQqSRsTRuXPs`NqdLnhJjkImoGrsEvwDzzBzzzzzzzzz\ wzRrwWmr`omeqhjrcolZjgUfbPbYKZTIUOHQJGMEFI9EECFDEF\ CHGCJGBMGAOHARH9TH8WI8YI7`I6bJ6eJ5gJ5cN9_QDWTGSXKO\ _NKbRGfVCiY8la4od3oc3ob3oa3oa3o`3o_3o_2oZ2oY2oX2oX\ 2oW2oV2oV1oU1oT1oS1oS1oR1oQ1oQ5mT9lWDkZHi`LhcPgfTe\ hXdk`cndaph`sl_voZxm_yk`yjayhayfbyecyccybdy`eyZeyY\ fyWgzVhzThzRizQjzOjzNkzLlzJlzImzGnzFnzIlxKkwMivOhu\ QgtSesUdrWcpYao_`na_mdYlfXkhYjjZhl_gnafpceredtgcvi\ bxkavmbtobrqbpsbnuclwckyciycgzdezdczdazd_zeZzeXzeV\ zeTzfRzfPzfNzfMzfMzdMzcMzaaz5`z4_z6Zz7Yz8Xz9WzAVzC\ UzDTzESzFRzGQzHPzJOzKNzLMzMLzNKzPJzQIzRHzSGzTGzUJz\ RMzOPzMSzJVzHUzGTzFTzESzD } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 11-02-05 (Most Unusual fractal [5])
by Jim Muth 11 Feb '05

11 Feb '05

FOTD -- February 11, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's image could well have been named 'The Incredible Shrinking Fractal'. When I first saw it 3 days ago, I consid- ered it an 8, but at every viewing since then, it has appeared less impressive. The rating of a 5 is a gross come-down from the original 8, but if I had waited another day or two before posting the image, I might have rated it a 4 of even a 3. That's how it goes in Fractal Land. Sometimes fractals grow better with age, at other times they turn sour. The image is yet another scene in the same parent fractal that has supplied the past several FOTD's. Today's image is located not too far from where yesterday's image was found, though it lies farther inland and in an area of greater chaos. I named the image "Most Unusual Midget", but I gave it this name when I first saw it and still considered it worth a rating of 8. Right now, a name such as "Somewhat Unusual Midget" might be more appropriate. The most, and perhaps only, notable feature of the image is the sharp contrast between the flat featureless areas and the well-defined areas of near total chaos. The calculation time of 5-1/2 minutes is true on my machine. Calculating may be avoided entirely by downloading the completed GIF image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A temperature of 37F 3C, chilly winds and too little sun limited the fractal cats' outdoor time to under an hour on Thursday. But they made the most of the limited time when they ganged up on a prowling cat from up the hill and, with terrifying shouts, sent the intruder scurrying for his life. The resulting satis- faction more than made up for the brief outdoor time. Today is starting with sun, but it is cold, and I doubt that the duo will repeat the victory they had yesterday. My day will include work and fun -- fractal fun, that is. What I find in fractal land will appear as tomorrow's FOTD. Whether the philosophy will be ready is questionable. Until then, take care, and save energy. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= MostUnusual_Midget { ; time=0:05:32.68--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.06057839712241519/-0.432621869887498\ 30/1.729997e+009/1/-32.5/-6.43962340347789541e-005 params=5/-1.26/0.5/-12.6/0/0 float=y maxiter=900 inside=0 logmap=37 periodicity=10 colors=000kORlOWnN`oNeqNjrNolMjgLfbKbYJZTIUOHQJGME\ FI9EECFDEFCHGCJGBMGAOHARH9TH8WI8YI7`I6bJ6eJ5gJ5cN9\ _QDWTGSXKO_NKbRGfVCiY8la4od3oc3ob3oa3oa3o`3o_3o_2o\ Z2oY2oX2oX2oW2oV2oV1oU1oT1oS1oS1oR1oQ1oQ5mT9lWDkZH\ i`LhcPgfTehXdk`cndaph`sl_voZxm_yk`yjayhayfbyecyccy\ bdy`eyZeyYfyWgzVhzThzRizQjzOjzNkzLlzJlzImzGnzFnzIl\ xKkwMivOhuQgtSesUdrWcpYao_`na_mdYlfXkhYjjZhl_gnafp\ ceredtgcvibxkavmbtobrqbpsbnuclwckyciycgzdezdczdazd\ _zeZzeXzeVzeTzfRzfPzfNzfMzfMzdMzcMzaaz5`z4_z6Zz7Yz\ 8Xz9WzAVzCUzDTzESzFRzGQzHPzJOzKNzLMzMLzNKzPJzQIzRH\ zSGzTGzUJzRMzOPzMSzJVzHUzGTzFTzESzDRzDRzCQzBPzAPz9\ Oz9Nz8Nz7Mz6Mz6Nz9OzCPzFPzIQzLRzORzQSzTTzWTzZUzaVz\ dVzfTzeSzeQzdPzdOzdMzcLzcKzcJzaJz_JzYJzXJzVIzTIzSI\ zQIzOIzNIzLHzJHzIHzGHzEHzDGzBGz9Gz8Gz6Gz4Gz3Ez6Dz8\ BzAAzC8zE7zH5zJ4zL2zN1zP0zR3zS5zS8zTAzTCzUFzUHzUJz\ VMzVOzWRzWTzWczBfzBhzHizM } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 10-02-05 (E-M-Fields [6])
by Jim Muth 10 Feb '05

10 Feb '05

FOTD -- February 10, 2005 (Rating 6) Fractal visionaries and enthusiasts: In yesterday's philo discussion, I stated that the 'big bang' is estimated to have happened around 12,000,000,000 years ago. No sooner had I sent off the FOTD than the postperson delivered the March issue of 'Scientific American' magazine, which contains an article on common errors about the expanding universe. In the article it is stated that the latest estimate of the age of the universe is now 14,000,000,000 years, and not the 12,000,000,000 years that I assumed. I was off by 2,000,000,000 years. Oh well, with all the other debatable assumptions in my philofrac- tal discussion, 2-billion years is not going to make much of a difference. Today's image is most certainly not an assumptiom. It is an evaporated scene in the same parent fractal that we have been exploring for the past several days and will be exploring for several days to come. I named the image "E-M-Fields" for no particular reason, though these fields, which permeate the modern-day environment, certainly must have quite a few fractal aspects. And BTW, EMF pollution is another of my pet peeves, but that's a story for another day. Today's image is located in a disconnected bit of debris in a minor valley on the southwest shoreline of the large circular bay of the parent fractal. I rated the image at a 6. The soft greenish-grey daisy-like features around the edge of the image are soothing enough, but the too-tight cropping and too-gaudy colors in the spirals give the image a hectic feeling that keeps the rating from reaching a 7, the level where images can start feeling proud of themselves. Images speak louder than words, so don't just read about today's FOTD image. See it...by running the included parameter file or by downloading the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Wednesday turned out to be unexpectedly pleasant here at Fractal Central, with some sun and a high temperature of 61F 16C. The dynamic cats had a day that was better than expected also. But this morning is chilly and blustery. The cats' good day will not be repeated. My day should be passably good -- as soon as I get the work behind me, that is. And the next glorious fractal will appear in only 24 hours. Until then, take care, and where were we when the big bang went boom? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= E-M-Fields { ; time=0:10:17.47--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.11693508646745340/-0.461596736962344\ 50/1.962271e+007/1/-47.5/7.17894854646017322e-007 params=5/-1.26/0.5/-12.6/0/1e+100 float=y maxiter=1100 inside=bof61 periodicity=10 colors=000DOVBWY9b`EeZJgXOiVTkTYnRbpPgrNltMjsLirLh\ qLgqLfpLeoLcnLbnLamK`lK_kKZkKYjKWiKViKUhKTgKSfJRfJ\ PeJOdJNcJMcJLbJKaJJaJKbLKbMKcNKcOKdPKdQKeRKeSKfTKf\ UKgVKgWKhXLhZLi_Li`LjaLjbLkcLkdLleLlfLmgLmhLniLnjK\ plLnkLmjLljMkiMjhMhhNggNffNefOdeObdOadP`cP_bPZbQXa\ QWaQV`RU_RT_RRZSQYSPYSOXTNWTLWTKVUJUUIUUHTUGTSEUQD\ VOCWMBXKAYJ9ZH7_F6`D5aB4b93c82d94b95a96_97Z99X9AW9\ BU9CT9DR9FQ9GO9HN9IL9JKBLMDNNFOOHQPJSQLTRNVSPXTQYV\ S_WUaXWbYYdZ_f_ag`ciabpZdjbeefg`jhVnjQrkLvlGzkJvjM\ riPniSjhUggXcg__fbWeeSdgPdjLcmHbpDbrAcoBdmBdkBeiCe\ gCfeCfbDg`DgZDhXEhVEiTEjQFjOFkMFkKGlIGlGGmDHmBHn9H\ n7Io5Io3Ih8JbCJXGKRKKLOLFSLGQKHPJIOJJNIJMIKLHLKGMJ\ GMIFNHFOGEPFEPEDQCCRBCSABT9BT8AU7AV69W58W48X37Y27Z\ 16Z06Y39Y6BY9DYBFYEIYHKYJMYMOYPRYRTYUVXXXXZZXaaXdc\ XfeXigXljXnlXqnXtpXvrVsoTqlSojQmgPkeNibLi_Mg`NeaOc\ bOacP`dQZdQXeGBQH9PH8OFGS } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 09-02-05 (Fan Blades [6])
by Jim Muth 09 Feb '05

09 Feb '05

FOTD -- February 09, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's image returns us once again to a fault line of the parent fractal that was the source of the two most recent FOTD's. We trace the fault line farther from its source in the southern branch of a prominent valley, and follow it to where it begins to disintegrate into chaos. There, very well hidden, lies the midget that forms the nucleus for today's image. Once again, the most satisfactory version of the scene is produced by evaporating it and rendering the ghostly 'inside' remnants with the inside=bof61 option. Fractal evaporation is what happens when fractals created with only negative exponents of Z are calculated with an extremely large escape radius, such as the googol of today's image, in which none of the points will ever escape to infinity. The result is an image composed totally of trapped 'inside' points. In today's image, the central midget is still too small to be seen, but the fault-line arcs that surround it are impressive. These closed arcs remind me of the blades of the exhaust fan on my old, worn-out but still faithful fractal-dedicated machine, which usually need to be nudged into motion by hand when the machine is turned on. I named the image "Fan Blades". The image pleases me about as much as did yesterday's. I therefore rated it at another 6. But it is a rather unusual appearing scene, worth the 9-plus minutes required to render it on my old machine, and the fewer minutes it will take to render on current units. But some current units choke on old 'DOS' programs such as Fractint. For the convenience of those with handicapped computers, the completed image has been posted ready for download on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The philosophy continues as promised in the philofractal version of today's FOTD discussion. The Tuesday weather here at Fractal central was absolutely perfect, with a spring-like high temperature of 59F 15C and lots of sun. The fractal cats spent most of the afternoon out of sight in the holly thicket at the bottom of the yard, watching the birds clear away the last of the berries. No tuna was needed to make their evening happy. This morning is again starting mild, but it is cloudy and rain is forecast for later today. The duo might have a satisfactory day if they go outdoors early enough. For me the work is average. This means an evening of adventure in Fractal Land. The best of what I find there will appear as tomorrow's FOTD. Until then, take care, and if we can see it, hear it, and touch it, it must be really real. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fan_Blades { ; time=0:09:14.25--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.27793976973538160/-1.956885037216322\ 00/1.25203e+012/1/22.5/0.00019039609301178817 params=5/-1.26/0.5/-12.6/0/1e+100 mathtolerance=/1 maxiter=1600 inside=bof61 periodicity=10 float=y colors=000XFSTFTQGTNGTKHUGHUDIVAIV7IVCMZGPbLTePWiU\ ZmYbpbetfhwgguhftierjdqkcplbnmamnalo`jp_iqZgrYfsXe\ tWcuVbuVatY_s_YraXqdVpfUohSnkRmmPloOZiULc_MYUNSOOM\ IPHCUGEZGFcFGhFHXIZLKpPImTHkXFi`EgdDegBckAao9_s7Yw\ 6Wz5UuATqFSmKRiPQeUPaZPVVSOSUHPWAMY3J_8LUDMPINKMOF\ 86CC5GG5KK4NN4RR3VV3YZ2aa2ee1hi1lm0pp0sk2mf4gb5aY7\ WU8QPAKLBFMAINALNAOOAROATPAWQAZQAaRAdRAfSAiTAlTAoU\ ArUAtSGrQMqORpMXoKbnJgmHenFcnEanC_oAYo9Xo8_l7ai7cf\ 6ec5h`5jY4lV3oS3qP2sM2uJ5qI8mHBiHDeGGaFJYFLUEOQERM\ DTICWECVABI35RCMgHWkMenRok`bhbRmrFcnGkkH_gIddJW`JU\ YKSULQRMONNMKNKGOIDPG9QE6RC3RCShCyzDqzDozDlzDetDbs\ DZrDWpESoEPnENlEKkEIjEFhEDgEBfKFkQJpWNu`RyaRvbSsbS\ pcRmdRjdRgeRdfQafQZgQWhPThPQiPNiPKjYGjfDjoAjx7iuCi\ rGioKhlPhiThfXgcag`egYifVnfSrfPvfNzjMtnMnqLiuLcxLZ\ wIWvGTuEQtCNsALr8Iq6Fp4Co29o0774_85b95dA5fB5hC5jD6\ mE6oF6qG6sH6uH6wK8vbER_ES } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 08-02-05 (Cosmic Ripple [6])
by Jim Muth 08 Feb '05

08 Feb '05

FOTD -- February 08, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's discussion will be terse. While giving the intended philosophical part of today's discussion a final reading before posting, I found so many passages in need of clarification that I decided to basically re-write the whole thing. Unfortunately, I used up most of the FOTD time in the process. It is amazing how obvious the poorly composed parts of a composition become when they are read several days after being written. Today's image is another scene in the same parent fractal that produced the 'Underground' image of yesterday. In fact, it is located in the other branch of the same valley. The main difference is that today's image has been partially 'evaporated' by raising the escape radius to 1,400,000,000 and rendering the scene with the inside set to bof61. The name I gave the image, "Cosmic Ripple", was probably inspired by all the thinking I was doing at the time about the origin of the universe, which is the topic of the philosophical discussion I have been working on. The rating of a 6 seems about right for another of my standard images with a quadratic midget at the center. The render time of 14 minutes is slightly slow, but the slowness may be avoided by downloading the already-rendered GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> I regret that the promised philosophy is not ready in time to be included in today's discussion. But I am in no rush to be considered a great fool -- a lesser fool is acceptable. If I get things right, the philosophy about the origin of the universe will appear in the philofractal version of tomorrow's discussion. If not, it will take a day or two longer. Near perfect weather here at Fractal Central on Monday gave the fractal cats much reason to rejoice. They ended the day happily with their standard treat of tuna. This morning is starting similarly. I expect a similar day for the duo. For me, it looks like a day with only a moderate amount of work, but I still have that philosophy to go over and re-write. The next fractal will appear in 24 hours. Until then, take care, and search for origins, both fractal and otherwise. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Cosmic_Ripple { ; time=0:14:36.45--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+2.09610088547934800/-0.475162969143318\ 10/1.106908e+011/1/-15/0 params=5/-1.26/0.5/-12.6/\ 0/1400000000 float=y maxiter=1600 inside=bof61 periodicity=10 colors=000zDzzDztDzoDziDzdBzZBzVBzQ\ BzKBzGAzAAz6Az0Ay0Ay0Ay0Dz6GzBIzILzQOzWRzVQvTOsTOo\ RNlRNhQLdQLaOKZNIVNIRLHOLHLKGHKGEIEBIE9LL7OR7RY7Vc\ 7Wi7Zo6fv6dz6oz6iz6fz2Vx0Oo0Hh0BZ04U00S0IO00H00M00\ O02P09O6EUBKYGOaLVfQ`kWfoaltfsylxzq0o74q67s4Bt2Et1\ Hv1Lx0Oy0Ty0Wz0Zz0cz0fz0kz0nz0qz0xq6zaKzOZ0t00q10n\ 40k70iA0fD0cG0`I0ZL0WQ0TT0QW0OZ0La0Id0Gh0Ek0Il1Ll7\ QnDTnKWoQ`oWcqafqo00q40q70sA1sD7tHDtKHtNNvQTvVYxYc\ x`ixcnoYniRncLnYGnRAnL4nN7qO9sQBtRDvTGxVHyWIzYLzZN\ z`QzaRzcVzdWzfYzhcziiqkoflvYnzNozElzIizLfzQdzTazYZ\ z`YzcVzhRzkOzoNysKyxHxzGxzLyvRynYzfazZhzRnzKtzDyz7\ stBlnEfhI`aLVVQOOTIIYDD`77c9Bd9Gd9KdANdARdAWdA`dBc\ dBhdBldBod9kf6fh2ai0Yk0Vl0Qn0Lo0Hq0Ds0As0Dv7GxHHyR\ KzcNznOzyRzzTzzQzzNzzKzzHzyEzxBzt9zs7yq4yn1xl0xk0v\ h0vf0td0ti0hl7YoGNtODxY2zf0yk0yn0yq0yt0il9VdRGZkIT\ hLNdNHcQB`T6YV1WW0`W0cY0fY0iZ0lZ0o`0smEz } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 07-02-05 (Underground [5])
by Jim Muth 07 Feb '05

07 Feb '05

FOTD -- February 07, 2005 (Rating 5) Fractal visionaries and enthusiasts: I had intended on finding a great fractal on Sunday, but you know how it is -- one gets flopped down in front of the TV, the big game is coming on in only an hour, and there is no pressing reason to get up. This happened to me on Sunday. I did not get up, and as a result, today's fractal is not great -- it is merely average -- but it is far better than the fractal with the rating of 2 that passed for yesterday's FOTD. Today's image rates a 5, and it earns its rating. The image is a scene in a valley of the sprawling parent fractal that results when a large portion of Z^(-1.26) is combined with 1/10 as much Z^(-12.6) and (1/C) is added. The area is one where the outside material has partially evaporated, and many 'inside' areas exist beyond the limits of the midget itself. To bring these evaporated areas to life, I have rendered the image with the inside set to 'fmod' and the proximity to 1. The result is a fractal that shows a midget surrounded by what can best be described as squiggly slimy earthworms. Worms might me a suitable name for a cheap horror movie, but not for a high class production such as the FOTD. So I named the image "Underground", which is the place where the squiggly slimy worms are found. With a render time on my worn-out machine of almost 25 minutes, today's image is bordering on slowness. But salvation is at hand in the form of the FOTD web site, where the finished image is available for download. The site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A repeat perfect day here at Fractal Central on Sunday made for continued happy cats. They spent the entire afternoon lurking in the holly thicket, watching for prey to stray too close. No prey strayed close enough to pounce on, and the duo had to settle for their standard evening treat of tuna. Today is starting with some clouds, but there is still a lot of sun and it is still mild. Will the duo notice the weaker sun? Check here tomorrow to find out. My day looks like it will be busier than the past few, but not so busy that the fractals will suffer. The next FOTD will appear in 24 hours. Until then, take care, and stay alert for runaway fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Underground { ; time=0:24:51.78--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+2.29445314483197500/+0.384470732271648\ 20/6.800512e+008/1/-105/-0.000131802249966776752 params=5/-1.26/0.5/-12.6/0/0 float=y maxiter=1200 inside=fmod proximity=1 periodicity=10 colors=000jTUiSVhRWgRXfQYePZfMaeP_eSZdVYdXXc_WcbVb\ dUbgTajSalR`oQ`rP_tO_wNZzMZzLYzKYzJYzIZzR_wZ`qfakn\ bdwaev`eu_ft_fsZfrYgqYgpXgoWgnWgmVflUgkUfjT`fSthSw\ gRqfQweQpdPpcOobMobOmaPlaQkaSkaTjaUjaViaXi`Yi`Zh`_\ h`ag`bg`cf`df`ff_ge_he_id_kd_lc_mc_nc_lbakabi`ch_d\ gZeeYfdYgbXhaWi`VjZUkYTlWSmVSnURoSQpRPqPOrONsNNtOY\ mPhgQsaQzWPzVOzVOzVNzUMzUmzULzUhxTKsTJqTJpSImSIlSH\ iSGgRGeRFcRFaR2ww3op3hi3ab0T_3VX5XV7ZS9_QBaNDcLGeI\ IfGKhDMjBOl8Nk6Qm6So6Vp6Xr6_t6bx2au6`rA_oDZlHYiLXg\ OWdSVaWUZZTWbTUeQWeNXeKYeH_eE`eBae8ce5de2ee0fe5gf9\ hgDhhHiiLijPjkUjkYklakmelnilommpct1qmpqnpqoprpprqp\ rrpsrpsspsrpsupttptwptupuxpuwpuzpvxpvwpvxpyytuymvz\ mqwiowflubktZjs_is`hs`hragrbfrbfqceqddqddpecpebpfb\ ogaog`oh`ni_niZnjZmkYmkXmlYknYjl_hjaehccge`egZcfXa\ eV`dTZcRXbQWaPU`NS_MQZKPXJNWILUGISFIQDGOCEMA8KBDwQ\ LuPMsONqNOoNPmMQmLRiKSgKT } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 06-02-05 (Totally Shredded [2])
by Jim Muth 06 Feb '05

06 Feb '05

FOTD -- February 06, 2005 (Rating 2) Fractal visionaries and enthusiasts: Today's fractal is far from great. In fact, with its low-as- they-go rating of 2, it is far from being even average. Maybe I'm getting too interested in philosophy. Maybe I have put so much energy into fractals that I'm beginning to burn out. Why else would I search where I have searched hundreds of times and rarely found anything of even average interest? I don't know why I keep looking along the filaments of very low order Mandeloid fractals for interesting midgets. The midgets are there, but they are so broken by the unavoidable discontinui- ties that they look like they have just gone through a paper shredder. Today's image shows a totally shredded midget that fully deserves its abysmal rating of 2 as well as its name -- "Totally Shredded". The parent fractal is the default Z^1.26+C Mandeloid. I hoped that the cube root of 3 would do something unusual when used as the exponent of Z, but as far as I could tell, nothing out of the ordinary happened. Maybe if I had checked other levels of the logarithmic hyper-spiral, I would have found something more interesting, but somehow I doubt it. I could also have done better with the coloring, but today's earthy palette seems to perfectly capture the futility I felt when working with the image. The parameter file included at the end of this message runs in 7 minutes on my 10-year-old machine with the exhaust fan that needs to be started by hand. But much of that render time may be saved by downloading the fully pre- rendered GIF image from the FOTD web site maintained by Paul at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The sun was warm, the wind was light, and the temperature reached 54F 12C. It was absolutely perfect here at Fractal Central on Saturday, and the cats made the most of the perfect conditions. They went into the yard before 11am and did not return inside until after 4pm. For some reason they wanted extra tuna for supper, which I gave them. Then they ended the day with one of their rare spells of playfully chasing each other up and down the stairs. Today is starting much the same. Hopefully, the aging duo is not all played out. I have little to do today but watch the big game. If the game is dull, I'll enjoy the over-priced ads. The next fractal will appear in 24 hours, the next philosophy, most likely in 48. Until tomorrow, when the fractal of the day is guaranteed to be an improvement over today's, take care, and there will never be another 2-rated fractal until spammers learn to spell correctly. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Totally_Shredded { ; time=0:07:04.25--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=+0.87536385207072350/+0.898575036268718\ 70/3507503 params=1.26/0/0/0 float=y maxiter=10000 inside=0 periodicity=10 colors=000htNepLblK_hJXeHUaGRYFOUBPVDPVEQVGQVHRVJR\ VKSVLSVNTVOTVQUVRNYYRWVUVSXTQ_SNcQLfPIiNGlMDuO5rM8\ oLBlKDiIGfHJdGLaEOZDRWCTTAWQ9Zer9K3_O8`SD`WIa_MacR\ agWbk`bv`drbcndbjfadlbfgagb`hY_iTZjOYyGckJYYLTKNN6\ PI8NLAMNCLQEKSGJUIHXKGZMFaOEcMGpOEjPDeRC`SAVU9QV8L\ U5HW7GX8GYAF_BF`DEaEEcGDdHDeJCgKChMBiNBkPAlQAmS9nT\ 9mWClYFl`HkbKkeMjgPjjRilUinWjlYkjZli_mganebndcobdp\ `fq_grYhtVkrXiqYgpZfo_dn`cmaakb_jcZidXheWgfUVPpfgT\ heVicXjbZk``l_bnYdoXfpVhqUjrSltRnuPpvOrwMtxLurOlmQ\ chTVcVMZYDU_5WY6YW6_U7`S7bQ8dO8eM9gK9iIAg2DiABjHAl\ P9mW8oc6pj5rr4sy3rx3qw3pw3ov3nu3mu3lt3ks3js3ir3hq3\ gq3fp3eo3do3ep9fpFgpLgpRhpWipaipgjpmkpsquznrykpxhn\ xekwbiw_gvXevUbuR`uOZtMXtpt`hn_ah_Vb_OXZHRZ7ef9WbA\ MZBCVA1TC3SD5RF7QG9PIBOJCNLEMMGLOIKPKJRMIRMJSNISOI\ SPHSQHSRHSSGTTGTUFTVFTWFTXETYETZEWgCDJfGLcIN`LPYNR\ VQTSSVQVXNXZK_`HabEddBsw8 } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 05-02-05 (Fractal Thomas [5])
by Jim Muth 05 Feb '05

05 Feb '05

FOTD -- February 05, 2005 (Rating 5) Fractal visionaries and enthusiasts: I was doing a bit of casual exploring in the fourth dimension yesterday, when I suddenly saw on the screen the face of Thomas, one of the fractal cats, peering out at me. It immediately reminded me of the way Thomas actually peers from the bushes before coming into the open to check that everything is in order and no danger is about. The name "Fractal Thomas" came to mind almost at once. The actual scene is a view of the Seahorse Valley of a tiny midget deep in East Valley of the large midget on the main stem of the classic Mandelbrot set. Yes, I realize that it looks nothing at all like either a Seahorse Valley or an East Valley. This is because the image is oriented in one of the oblique directions through the four-dimensional Julibrot. The resemblance to one of the fractal cats is striking enough, but I have seen such images many times, and could rate today's image no higher than an average 5. This is not to say that Thomas is an average cat. Quite the contrary. He is tied with Tippy for number one cat in the world. It is just that today's representation of him does not do him justice. Only a real photograph could do that, and even then it would be difficult to capture his full personality. Speaking of photographs, I still am planning on getting a brand- new digital electronic camera to replace my old film-loaded Pentax that stopped working sometime during the 15 or so years that have passed since I found fractals and stopped using it. The fractal cats will not be around forever, and I would like to have some pictures of them before they go where good cats go. Taking their pictures seems such a simple thing, and there appears to be so much time in which to do it, that I never get motivated to go out shopping for a digital camera. This is curious, for I really enjoy photography. At one time I was an avid photographer who did my own black-and-white as well as color darkroom work. I was most interested in infrared and ultraviolet photography, which showed the familiar everyday surroundings in a new light. Using infrared film, I even caught some pictures of the things that ghost hunters now call orbs -- moving balls of light that are sometimes photographed in locations said to be haunted by ghosts. At the time I thought the spots on the film were flaws in the film or specks of dust floating very near the lens. I am far from convinced that I caught glimpses of an unknown energy on film, but I have never understood why such spots appeared only in the infrared photo- graphs and on so many different batches and brands of infrared film. Well, I see that we are again wandering from the topic, which is fractals and not photographic oddities, so it's time to remind everyone that seven minutes may be saved if today's fractal is downloaded from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Friday brought little sun, but the temperature reached 46F 8C, which was just into the comfort range of the dynamic cats. They spent several hours in the yard, peeping from the bushes much as we see Thomas doing in today's image. When evening arrived, they came indoors ready to settle down without complaint. I gave them their regular treat of tuna to be sure they didn't complain. Today is starting warmer with full sun. The duo should have another fine day. For me, the work is mostly caught up. A few minor chores remain, but they can be done in less than an hour. Then it will be time for fractals and philosophy. The next fractal will appear in 24 hours; the next chapter of philosophy will take a day or two longer. Until tomorrow's FOTD, take care, and isn't it wonderful. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Thomas { ; time=0:07:40.28--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new passes=1 center-mag=0/0/1.975315e+008/6.144e-006 params=90/6.22/2/0/0/0/-1.749699879151/0 float=y maxiter=50000 inside=0 logmap=380 symmetry=yaxis periodicity=10 colors=000NVINVKOVLOVNOVPPVRPVSQVUQVWRVYRVZRV`SVbS\ VdTVeTVgUViUVkUVlPUgKUbFTYATT4VM5TO5RQ5PR5NT5LU5JW\ 5HX6IW7IV8IU9ITAISBIRBIQCJPDJOEJNFJMGJLHJKFKGHJKJI\ NLIRNHUOHXQG`eMcaR_ZXWVbSRgONmKKrGbpVunitmjsmjsmkr\ mkrmlqmlqmmpmmomnomnnmonmommpmmplmqlmqkjrkhrjerjcr\ jasiZsiXsiVshSthQtgNtgLtgJufGufEufCugFsgHrgJqhLphN\ ohPmhRliTkiVjiXiiZgj`fjbejddjfciibhlbgnbgqbfsbevbe\ xbawWZvQWuJTtDQtIOkMM_QKbUIYYFUbDPfBLj9Gn7CrCoVDdW\ GsZEqXDoWBnUAlTQIKSNJVLJXPI_RIaRHdVHfVGfVHhVGjYGlY\ FmYFoYEq`Er`Es_EscEscEsaEscEscEscEtcEscEvcDvcEscEp\ cEo`EjYEgVEdUEaQFZKFWPFTIFQBFN8FK5F13B9ADHGFPMHXSJ\ dYLecOhcRncNtcIzcBycExcGwcIvcKtcMscOraQq_SoYUnWWnU\ ZmS`kQbjOdiMfhMhgMjfMleMndMpPG`dMrcOqcQpbSpbUobWoa\ YnaZna`m`bm`dl`fk_hk_jj_kjZmiZoi_qhashcugeylgvgisc\ kp_mmWokSqhOseKubGw_CxY8yX9zz9zz9zzAzzAzzAzzBzzBzz\ BzzCzzCzzCzzbzzPzzCzzEzzG } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

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Re: [Fractint] FOTD 04-02-05 (The Drunkard's Walk [5])
by Fr. Jim Lacasse 04 Feb '05

04 Feb '05

Fractint fellows, I continue to get bounce messages and also the FOTD. I'm confused. Can one of you provide me with the name and address of the owner so I can email him directly. Thank you. Fr. Jim P.S. When I display some of Jim's work my Geometry students always enjoy them. >>> jamth(a)mindspring.com 02/04/05 06:53AM >>> FOTD -- February 04, 2005 (Rating 5) Fractal visionaries and enthusiasts: With today's image we return to the MandelbrotMix4 formula and the unlimited goodies therein. We examine the fractal that results when negative Z^1.5 is combined with Z^0.5 and straight C is added. This fractal is shaped much like a classic M-set that has been rotated 180 degrees, with the main exception being the area of East Valley, which is now on the west side of the main bay. Instead of jutting sharply into the bay, the valley has degenerated into a large area of chaos that extends some distance inland. This chaotic area is filled with quadratic- shaped midgets, one of which appears at the center of today's image. I named the image "The Drunkard's Walk". The midget at the center is surrounded by radiating filaments that remind me of a path a very tipsy drunkard might take when he leaves the bar and starts taking steps in random directions as he begins his walk hopefully toward home. This random path appears quite often in nature and is known to mathematicians as the drunkard's walk. A drunkard could never be expected to produce a worthy fractal simply by taking steps in random directions, but today's image rates a 5, and lesser images have made it to the lofty heights of Fractal of the Day. Our drunkard finally made it home, and does not appear in the image. The path he took on his trip is still visible however, and may be seen by running the included parameter file or by downloading the GIF image in completed form from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The latest chapter of philosophical musing appears in the philofractal version of today's FOTD discussion. Thursday failed to live up to its promise here at Fractal Central, as an unexpected wet snow began at 2:30pm and cut short the cats' time in the yard. Extra tuna was needed to ease their frustration. Today is again starting partly cloudy and mild. Hopefully, the day will turn out better than yesterday. For me it looks like a rather slow day coming up. This could mean a great fractal for tomorrow, or it could mean a lazy day for me. Regardless, the next FOTD will appear right here in 24 hours. Until then, take care, but don't forget the fun. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Drunkards_Walk { ; time=0:02:50.93--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident center-mag=-0.86634515270768200/+0.265248736118700\ 60/1.378352e+009/1/-92.4997801961145996/-0.0003971\ 32291258053827 params=1/0.5/-1/1.5/0/0 float=y maxiter=500 inside=0 logmap=69 periodicity=10 colors=0004SP1QQ4PQ7OQAMPDLPFJOIGOLDMO9MS4LX1LaCIg\ MGfXKjfQomUsuYxzcszcpzZlxUiuPdpKalFYfDVaDQXFOSFLPF\ QTIX_JadMgjOmpPooMpmLrlJsjGsiFugDvfAxd9xc7vd4vf3vg\ 1vi0vj0vl0vm0vo0vp0vr0xs0yu0yv0zx0zy0zy0zz0zz0zz0z\ z0zz0yz0ux1ou6jr9foCYiLPdSI__9Vg1Po0Lv0Gz0Iz0Jz4Lz\ ALyGMxMOxSPvYPucQuiSsoTruTrfJoSAlD0i00gC7SMMCPPGQS\ JSVOTYQV`VXcYYfa_id`liaolcpodmmflmgiligljdllcjm`jm\ _joYipVirTgsQguPgvMfxLfxJfuIirGloGomFpjDsgDvfCxcAz\ `AzY9zX7zT7zQ6zP6zO9zMCzLFvJIoILiGOcFQXDTQCXLA_D9a\ 79c1QY7dODgSCiVAj_Ala9md7oi7rl6sp6us4vv3xz3yz1zz1s\ z7lzDdzJYzPSyVLx`Dvf6ul0sp0lv9sxPzxdzxuzxozyiuzcjz\ Y`zTSzOIzI7zC0z70zG0yPAsYLmdVgmfavpXzzQzzLzzMzzOzz\ PzzQzzSzzTzzVzzXzzYzz_zz`zz`uzamzcfzd`zfTzgMzgFzi9\ zj1zl0zm0zm0zf4z`DzVLzPTzI`zCiz6pz0xz0Xz74zL7zI9zF\ AzDDzAFz7Gz6Iz3Lz0Mz0Oz0Qz0Sz0Tz0Vz0Yz0`z0cz0fz1gz\ 4jz7mzCpzFrzIuzMxzPCzT7zT } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE========================================= _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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FOTD 04-02-05 (The Drunkard's Walk [5])
by Jim Muth 04 Feb '05

04 Feb '05

FOTD -- February 04, 2005 (Rating 5) Fractal visionaries and enthusiasts: With today's image we return to the MandelbrotMix4 formula and the unlimited goodies therein. We examine the fractal that results when negative Z^1.5 is combined with Z^0.5 and straight C is added. This fractal is shaped much like a classic M-set that has been rotated 180 degrees, with the main exception being the area of East Valley, which is now on the west side of the main bay. Instead of jutting sharply into the bay, the valley has degenerated into a large area of chaos that extends some distance inland. This chaotic area is filled with quadratic- shaped midgets, one of which appears at the center of today's image. I named the image "The Drunkard's Walk". The midget at the center is surrounded by radiating filaments that remind me of a path a very tipsy drunkard might take when he leaves the bar and starts taking steps in random directions as he begins his walk hopefully toward home. This random path appears quite often in nature and is known to mathematicians as the drunkard's walk. A drunkard could never be expected to produce a worthy fractal simply by taking steps in random directions, but today's image rates a 5, and lesser images have made it to the lofty heights of Fractal of the Day. Our drunkard finally made it home, and does not appear in the image. The path he took on his trip is still visible however, and may be seen by running the included parameter file or by downloading the GIF image in completed form from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The latest chapter of philosophical musing appears in the philofractal version of today's FOTD discussion. Thursday failed to live up to its promise here at Fractal Central, as an unexpected wet snow began at 2:30pm and cut short the cats' time in the yard. Extra tuna was needed to ease their frustration. Today is again starting partly cloudy and mild. Hopefully, the day will turn out better than yesterday. For me it looks like a rather slow day coming up. This could mean a great fractal for tomorrow, or it could mean a lazy day for me. Regardless, the next FOTD will appear right here in 24 hours. Until then, take care, but don't forget the fun. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Drunkards_Walk { ; time=0:02:50.93--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident center-mag=-0.86634515270768200/+0.265248736118700\ 60/1.378352e+009/1/-92.4997801961145996/-0.0003971\ 32291258053827 params=1/0.5/-1/1.5/0/0 float=y maxiter=500 inside=0 logmap=69 periodicity=10 colors=0004SP1QQ4PQ7OQAMPDLPFJOIGOLDMO9MS4LX1LaCIg\ MGfXKjfQomUsuYxzcszcpzZlxUiuPdpKalFYfDVaDQXFOSFLPF\ QTIX_JadMgjOmpPooMpmLrlJsjGsiFugDvfAxd9xc7vd4vf3vg\ 1vi0vj0vl0vm0vo0vp0vr0xs0yu0yv0zx0zy0zy0zz0zz0zz0z\ z0zz0yz0ux1ou6jr9foCYiLPdSI__9Vg1Po0Lv0Gz0Iz0Jz4Lz\ ALyGMxMOxSPvYPucQuiSsoTruTrfJoSAlD0i00gC7SMMCPPGQS\ JSVOTYQV`VXcYYfa_id`liaolcpodmmflmgiligljdllcjm`jm\ _joYipVirTgsQguPgvMfxLfxJfuIirGloGomFpjDsgDvfCxcAz\ `AzY9zX7zT7zQ6zP6zO9zMCzLFvJIoILiGOcFQXDTQCXLA_D9a\ 79c1QY7dODgSCiVAj_Ala9md7oi7rl6sp6us4vv3xz3yz1zz1s\ z7lzDdzJYzPSyVLx`Dvf6ul0sp0lv9sxPzxdzxuzxozyiuzcjz\ Y`zTSzOIzI7zC0z70zG0yPAsYLmdVgmfavpXzzQzzLzzMzzOzz\ PzzQzzSzzTzzVzzXzzYzz_zz`zz`uzamzcfzd`zfTzgMzgFzi9\ zj1zl0zm0zm0zf4z`DzVLzPTzI`zCiz6pz0xz0Xz74zL7zI9zF\ AzDDzAFz7Gz6Iz3Lz0Mz0Oz0Qz0Sz0Tz0Vz0Yz0`z0cz0fz1gz\ 4jz7mzCpzFrzIuzMxzPCzT7zT } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 03-02-05 (Final Beast [4])
by Jim Muth 03 Feb '05

03 Feb '05

FOTD -- February 03, 2005 (Rating 4) Fractal visionaries and enthusiasts: Today's image gives us one last, and perhaps one too many glimpses of the fractal beast. We have now distorted the beast almost beyond recognition. The colors are still the same, but even with the aid of the colors, the spirals and converging arms are nearly impossible to pick out. There are only spirals that try to get started but never quite succeed, and arms that set out promisingly, but lead nowhere. Because the center of rotation of all the 'Beast' images lies in the open area at the center of the original Mandelbrot midget, the hole that once appeared as that midget is still in the picture. It has been stretched beyond recognition however, and now exists as a narrow slit in the bottom-center part of the frame. Curiously enough, this slit still retains some of its original Mandelbrot character, needing only some stretching in the right direction to return it to its recognizable, though somewhat warped, Mandelbrot shape. The rating of a humble 4 is all I could do for the image. Actually, I expected better things from the beast when I started the series. I guess my disappointment shows. The name "Final Beast" is a simple statement that after today we shall see no more of this beast. Th render time of under 2 minutes on my machine is the fastest of the 'Beast' series. But for the convenience of those who dislike hunting and rendering, the beast has been captured and caged, and is being kept on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> from where it may be safely downloaded. No philosophy is ready today, but the next batch should be included in the philofractal version of tomorrow's FOTD. A nearly perfect mid-winter day here at the Fractal Central on Wednesday made for near perfect fractal cats. With warm sun, a temperature of 41F 4C, and melted snow waiting for them, the duo enjoyed several peaceful hours in the yard. Even the crows that raided a neighbor's trash can failed to disturb the dynamic duo. In the evening I gave them their tuna treat just to make the day perfect. Today is starting cloudy, but it is milder and no more snow is expected. The cats' day will likely be another good one. For me, the work is moderate. I should be finished by early afternoon, leaving me plenty of time to shape up the latest installment of philosophy, which, unless something unexpected goes wrong, will appear in 24 hours. Until then, take care, and just wait. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Final_Beast { ; time=0:01:56.06--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot2 center-mag=-0.000046448\ 18451324/-0.00001890775131802/337663.9/0.01552/\ 158.981743903266619/85.1656595908049638 float=y params=51.916/-157.216/-82.429/166.391/0.288136932\ 805/0.482645405409/0.288136932805/0.482645405409 maxiter=5000 inside=0 logmap=288 periodicity=10 colors=000SYrSXrSWqSVpSUoSTnSSmSQlTOkUMjVKiWIhXGgY\ Ef_CeaAdcAceAbgAaiA`kC_mEZoGYqIXrKWsMTrOSqQRpSQpUP\ oWOnXNnYMmZLl_KlaJkcIjeHjgHkhGkgFlfEldDmbCm`BnZAnX\ 9kV8hT8eR8bP7_N7XL7UJ6RH6OF6LD5IB5FC5CC49D46D43D45\ E57F59G6AH6CI6EJ7FK7HL8JM8KN8MO9OP9QQARRATSAVTBWUB\ YVC_WC`XCaYEbZGbZHc_Jd`Kd`MeaNebPfbQgcSgdThdVheWif\ YjgZjh`kiakjclkdmlfmlgmmimminmjomjpmjqnjrojtpjuqjv\ rjwsjxtlxujwtivshurgtqftpdsocrmbqlapk`oj_oiYnhXmgW\ lfVkdUjcTjbRiaQh`Pg_OfZNfYMgXKgVJgUHhTGhREhQDiPBiN\ AiM8jK7jJ5jI4kG2kF1kE0gH1dJ1aM2ZO2WR3TT3QY4Na4Kf5U\ o5cs2mz5mz8mzBhtEcrHZqKUoNPnQLmTMkWNjZOiaPidQhgRhj\ SgmTgpShsTgrTfrTfqTeqUepUbpU_pUZoUUoVTnVTnVSnVSmVR\ mWRnWQoWQpWPqWPsXOuXOwXNxXNzXMzYMzYLzYLzYKzYKzVOzS\ SzQWzN_zLczPgzUkzZozcszhvzmuzmwzmvzmvzmuzmuzmtzmtz\ mszmszmrzmrzmrzmqzmqzmpzmpzmozmozmnzmnzmmzmmzmmzml\ zmlzmkzmkzmjzmjzmizmizmiz } frm:SliceJulibrot2 {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)+c |z|<=9 } END PARAMETER FILE=========================================

1 0

multifractal!
by david lowenstein 02 Feb '05

02 Feb '05

thank you! I didn't see much pictures of multifractals before! -david ----- Original Message ----- From: <fractint-request(a)mailman.xmission.com> To: <fractint(a)mailman.xmission.com> Sent: Wednesday, February 02, 2005 6:53 AM Subject: Fractint Digest, Vol 24, Issue 2 > Send Fractint mailing list submissions to > fractint(a)mailman.xmission.com > > To subscribe or unsubscribe via the World Wide Web, visit > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > or, via email, send a message with subject or body 'help' to > fractint-request(a)mailman.xmission.com > > You can reach the person managing the list at > fractint-owner(a)mailman.xmission.com > > When replying, please edit your Subject line so it is more specific > than "Re: Contents of Fractint digest..." > > > Today's Topics: > > 1. Fractint_Multifractal (Albrecht Niekamp) > 2. FOTD 02-02-05 (Triple Beast [5]) (Jim Muth) > > > ---------------------------------------------------------------------- > > Message: 1 > Date: Wed, 2 Feb 2005 05:00:50 +0100 > From: Albrecht.Niekamp(a)t-online.de (Albrecht Niekamp) > Subject: [Fractint] Fractint_Multifractal > To: <Fractint(a)mailman.xmission.com> > Message-ID: <002301c508db$c9256ba0$78b4fed9@homerwq09jetk> > Content-Type: text/plain; charset="iso-8859-1" > > Hi, > > IÂ´m back again. > There are several reasons. The first one is that I managed > to boot Windoze98 as additional OS. As you know this OS > has a perfect DOS support and allows switching between DOS and > windows vv. Also I like it because it is compact and easy to handle. > All the hardware, AGP, USB, DVD, Firewire etc is there. > For Fractint I use an ancient Nvidia G-force 4 video card which has > full Vesa support, also 1600/1200. > The second reason is that I have some ideas how to improve and > complete my multifractal formula. > There is another one not mentioned today. > > In my email archive dated July19 I found a request by David > Lowenstein asking for multifractals composed of different fractals > at the same time. Maybe this is an answer, although possibly not > the one you expected. > > Multifractal_10 composes images using max 5 different formulas > simultaneously. There are 9 frms to choose from. There are five > "channels": basic shape, outside and inside 1-3.The transitions > are controlled by an iteration counter or by border (z) values, > in and out (bigger or smaller), or iteration and border > simultaneously. > At the transition points optional resets are provided, either of the > iteration counter or the z-value (or both), which affect the coloring > and further iteration. > Five different bailout values can be applied, ranging from 1 to > one million. The effect is compression or expansion of the colours. > > A unique programmable "warp-effect" can be applied to each channel. > It changes the behaviour and looks of the channels, pending on > previous iterations, a choosable function and a "warp" factor. Maybe > this just means a distortion, maybe a 3d effect. > > Sylvie GalletÂ´s lake effect is optional, fully integrated and > works with all formulas, inside3 is shut off if activated. > > There now is a second basic "Double mandel" which allows the creation > of "mandscapes", 2 samples with different insides, symmetric or > asymmetric are provided. > > The par-files are demos for the contributing formulas to give you > an impression about their looks, mostly with activated lake effect. > "Pandemonium" is a basic image with lots of zooming spots. I gave it > that name because so many different structures are hidden somewhere. > > "Debugflag=322" must be deactivated. Please check your SS-tools.ini. > > Any questions are welcome, of course. > > Attached is a printable wordpad file which is handy if you should > want to compose your own image. If it does not get through, please > paste the following part to an editor, using size9 to make it small > enough for one sheet of paper. > > Sincerely, Al. > ---------------------------------------------------------------------------- > - > > Multifractal_10 Inputs > > > Real P2 > First Input (before the dot) > 5 Digits : Channels : 1_Basic Shape 2_Outside 3_Inside1 4_Inside2 > Inside3 > Frms: 1_Secant 2_Mandel(2) 3_Bees 4_Julia 5_Many Mods 6_Phoenix > 7_Newton 8_Spider > Second Input (after the dot) > 2 Digits_Many Mods_Number of sides 2 Digits_Phoenix 2 Digits_Spider > 1 Digit_Reset on Transitions (Shape) 0_no 1_Dble Mandel 2_Iter-reset > 3_both +5_warp > 4 Digits_Reset Channels 2-5 0_no 1_z-reset 2_Iter-reset 3_both > +5_warp > > Imag P2 > First Input > 5 Digits_Colour (Bailout) Number for each channel (5 available) > Second Input > Variables : 4 Digits_Mand/Jul (2 var) 2 Digits_Secant 4 Digits_Bees > > Real P3 > First Input > 2 Digits_Newtonvariable 4 Digits_Colour1 > Second Input > 5 Digits_Colour2 5 Digits_Colour3 > > Imag P3 > First Input > Basic Shape : Warp-factor (fn1 is used) > Second Input > 5 Digits_Colour4 6 Digits_Colour5 > > Real P4 > First Input > Outside : Warp-factor (fn2 is used) > Second Input > Outside : 4 Digits+1fractal digit_Border-out 4 Digits+1 > fractaldigit_Border-in > > Imag P4 > First Input > Inside1_Maxiter > Second Input > Inside1 : 1 Digit_Transition: 1_maxiter 2_borderout 3_borderin > +5_maxiter+border > 5 Digits_warp factor (fn2 is used) 4 Digits+1 > fractaldigit_border1 > > Real P5 > First Input > Inside2_Maxiter > Second Input > Inside2 : 1 Digit_Transition: 1_maxiter 2_borderout 3_borderin > +5_maxiter+border > 5 Digits_warp factor (fn3 is used) 4 Digits+1 > fractaldigit_border2 > > Imag P5 > First Input > Inside3_Maxiter > Second Input > Inside3 : 1 Digit_Transition: 1_maxiter 2_borderout 3_borderin > +5_maxiter+border > 5 Digits_Warp factor (fn4 is used) 4 Digits+1 fractal > digit_border3 > Alternate Input Imag P5 > First Input : 1_Lake effect enabled (Inside3 disabled) > Second Input : 2 Digits_Frequency 2 Digits_Waterlevel 2 > Digits_Amplitude > > > ------------------------start-pars----------------------------------------- > > Secant_basic { ; Lake effect active > ; Time 0.42.00.86 > reset=2004 type=formula formulafile=mfr10.frm > formulaname=multifractal_10 function=sin/sin/exp/sin passes=t > center-mag=0.332423/0.00308737/1.230666/1/-90/3.88578058618804789e-016 > params=-0.05825983458967864/0.3785210730307932/10000.32595700022/55234.0\ > 506020602/151024.0204808192/384.32768524288/384.00482000595/256.1007683/\ > 512.1007683001/1.244062 float=y maxiter=1024 inside=maxiter > outside=tdis logmap=4 periodicity=0 rseed=-2436 > colors=200A85<17>icNkeOmfP<3>unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q0\ > 0s00<3>z00<25>C00A00800<3>000<12>NNNPPPQQQ<8>fffgggiiijjjlll<3>sss<25>BB\ > B999777<2>222000012<24>0bo0cq0es<3>0kz<25>09C08A068<2>022000211<2>864 > } > > Bees_Basic { ; Lake effect active > ; Time 0.09.10.85 > reset=2004 type=formula formulafile=mfr10.frm > formulaname=multifractal_10 function=sin/sin/exp/sin passes=t > center-mag=1.00827/0.00308737/0.6630435/1/-90/3.88578058618804789e-016 > params=-0.05825983458967864/0.3785210730307932/30000.32595700022/35234.0\ > 506020602/151024.0204808192/384.32768524288/384.00482000595/256.1007683/\ > 512.1007683001/1.244062 float=y maxiter=1024 inside=maxiter > outside=tdis logmap=4 periodicity=0 rseed=-2436 > colors=200A85<17>icNkeOmfP<3>unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q0\ > 0s00<3>z00<25>C00A00800<3>000<23>fffgggiiijjjlll<3>sss<25>BBB999777<2>22\ > 2000012<24>0bo0cq0es<3>0kz<25>09C08A068<2>022000211<2>864 > } > > Julia_Basic { ; Lake effect active > ; Time 0.31.26.42 > reset=2004 type=formula formulafile=mfr10.frm > formulaname=multifractal_10 function=sin/sin/exp/sin passes=t > center-mag=0.0659115/0.0324086/1.087898/1.0222/90/3.88578058618804789e-0\ > 16 > params=-0.05825983458967864/0.3785210730307932/40000.32595700022/25234.0\ > 506020602/151024.0204808192/384.32768524288/384.00482000595/256.1007683/\ > 512.1007683001/1.244062 float=y maxiter=1024 inside=maxiter > outside=tdis logmap=4 periodicity=0 rseed=-2436 > colors=000047049<5>0BL0DN0DP<4>0KZ0L`0Mb0Nd0Of0Qh<3>0Up4Yr8atCgvGkxKqz<3\ > >4_s0Vq0Uo<12>0FQ0DO0DM<3>08E06C06A048046024012000100<12>R0LT0NV0PX0P<3>\ > d0Wf0Yh0Z<3>p0e<3>xOtzUxyOuwIquCns6iq0g<2>k0bi0`g0_e0Z<3>Y0SW0RU0O<5>I0F\ > G0EE0CC0A<3>304102010<4>0B10D10F10H20J20L20N2<2>0T40V40X3<3>0d40f50h5<3>\ > 0p6<3>WxZczeUyY<2>0s8<4>0i60g60e60c4<2>0Y40W30U4<5>0I20G20E20C20A1081<3>\ > 0000101221532653863A84DA5EB5HB<2>7NG8PI8RJ9TKAVNAXM<3>DdTDfVEhWFjYFlYGn_\ > Gp`Prd<3>zzz<2>_ulRsgHqaHo`GmZFkXFiX<5>BYOAWMAUL9SK<4>6IC5GB5DA<5>121000\ > 001023025 > } > > Phoenix_basic { ; Lake effect enabled > ; Time 0.19.25.24 > reset=2004 type=formula formulafile=mfr10.frm > formulaname=multifractal_10 function=exp/sin/exp/sin passes=t > center-mag=0.332423/0.00308737/1.230666/1/-90/3.88578058618804789e-016 > params=-0.05825983458967864/0.3785210730307932/60000.32565700023/25234.0\ > 506030602/151024.0204808192/384.32768524288/384.00482000595/256.1007683/\ > 512.1007683001/1.244062 float=y maxiter=1024 inside=maxiter logmap=5 > periodicity=0 rseed=-2436 > colors=200432<20>icNkeOmfP<3>unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q0\ > 0s00<3>z00<25>C00A00800<3>000<7>FFFHHHJJJ<9>___aaaccc<3>iiijjjlll<3>sss<\ > 25>BBB999777<2>222000012<24>0bo0cq0es<3>0kz<25>09C08A068<2>022000211 > } > Newton_Basic { ; Lake effect active > reset=2004 type=formula formulafile=mfr9n.frm > formulaname=multifractal_10 function=exp/sin/exp/sin passes=t > center-mag=0.332423/0.00308737/1.230666/1/-90/3.88578058618804789e-016 > params=-0.05825983458967864/0.3785210730307932/70000.32595700023/55234.0\ > 506030602/152048.0404808048/384.1604894048/384.00482000595/256.1007683/5\ > 12.1007683001/1.244062 float=y maxiter=1024 inside=maxiter > outside=tdis logmap=2 periodicity=0 rseed=-2436 > colors=200432<20>icNkeOmfP<3>unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q0\ > 0s00<3>z00<25>C00A00800<3>000<9>IIIKKKLLL<9>bbbdddfffgggiiijjj<3>qqqsssq\ > qq<24>BBB999777<2>222000012<24>0bo0cq0es<3>0kz<25>09C08A068<2>022000211 > } > > Spider_Basic { ; Lake effect active > ; Time 0.09.42.76 > reset=2004 type=formula formulafile=mfr10.frm > formulaname=multifractal_10 function=exp/sin/exp/sin passes=t > center-mag=0.332423/0.00308737/1.230666/1/-90/3.88578058618804789e-016 > params=-0.05825983458967864/0.3785210730307932/80000.32595700023/25234.0\ > 506030602/151024.0204808192/384.32768524288/384.00482000595/256.1007683/\ > 512.1007683001/1.244062 float=y maxiter=1024 inside=maxiter > outside=tdis logmap=4 periodicity=0 rseed=-2436 > colors=2000NU<8>09C08A068<2>022000211<21>icNkeOmfP<3>unTwpVxqWzsX<25>CB7\ > A96875<3>000400<23>o00q00s00<3>z00<25>C00A00800<3>000<11>LLLNNNPPPQQQSSS\ > UUU<6>fffgggiiijjjlll<3>sss<25>BBB999777<2>222000012<24>0bo0cq0es<3>0kz<\ > 15>0OW > } > Many_mods_basic { ; Lake effect active > reset=2004 type=formula formulafile=mfr10.frm > formulaname=multifractal_10 function=sin/sin/exp/sin passes=t > center-mag=0.332423/0.00308737/1.230666/1/-90/3.88578058618804789e-016 > params=-0.05825983458967864/0.3785210730307932/50000.16595700022/55234.0\ > 506020602/151024.0204808192/384.32768524288/384.00482000595/256.1007683/\ > 512.1007683001/1.244062 float=y maxiter=1024 inside=maxiter > outside=tdis logmap=yes periodicity=0 rseed=-2436 > colors=20009C<19>0bo0cq0es<3>0kz<25>09C08A068<2>022000211<21>icNkeOmfP<3\ > >unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q00s00<3>z00<25>C00A00800<3>00\ > 0<23>fffgggiiijjjlll<3>sss<25>BBB999777<2>222000012<3>07A > } > Pandemonium { ; Time 0.21.15.48 > ; > reset=2004 type=formula formulafile=mfr10.frm > formulaname=multifractal_10 function=sin/exp/exp/sin passes=t > center-mag=-0.489028/0/0.6666667 > params=-0.05825983458967864/0.3785210730307932/21225.64595718025/21235.0\ > 311030602/150056.0204808192/384.32768524288/384.00482000595/256.10076830\ > 01/512.1007683001/768.1007683001 float=y maxiter=3072 inside=maxiter > outside=tdis periodicity=0 rseed=-2436 > colors=2000gt<22>09C08A068<2>022000211<21>icNkeOmfP<3>unTwpVxqWzsX<25>CB\ > 7A96875<3>000400<23>o00q00s00<3>z00<25>C00A00800<3>000<23>fffgggiiijjjll\ > l<3>sss<25>BBB999777<2>222000012<22>0_k0am0bo0cq<4>0kz0jx0hv > } > Mandscape2 { ; asymmetrical inside > ; Time 0.14.07.06 > reset=2004 type=formula formulafile=mfr10.frm > formulaname=multifractal_10 function=exp/exp/exp/sin passes=t > center-mag=-0.504822/4.44089e-016/0.9463538 > params=-0.05825983458967864/0.3785210730307932/20227.32595710661/25255.1\ > 111020602/151024.0204808192/384.32768524288/384.00482000595/128.10076800\ > 01/512.10076800005/768.10076800002 float=y maxiter=1024 > inside=maxiter outside=tdis logmap=4 periodicity=0 rseed=-2436 > colors=000376<2>121000001023025047049<5>0BL0DN0DP<4>0KZ0L`0Mb0Nd0Of0Qh<3\ > >0Up4Yr8atCgvGkxKqz<3>4_s0Vq0Uo<12>0FQ0DO0DM<3>08E06C06A0480460240120001\ > 00<12>R0LT0NV0PX0P<3>d0Wf0Yh0Z<3>p0e<3>xOtzUxyOuwIquCns6iq0g<2>k0bi0`g0_\ > e0Z<3>Y0SW0RU0O<5>I0FG0EE0CC0A<3>304102010<4>0B10D10F10H20J20L20N2<2>0T4\ > 0V40X3<3>0d40f50h5<3>0p6<3>WxZczeUyY<2>0s8<4>0i60g60e60c4<2>0Y40W30U4<5>\ > 0I20G20E20C20A1081<3>0000101221532653863A84DA5EB5HB<2>7NG8PI8RJ9TKAVNAXM\ > <3>DdTDfVEhWFjYFlYGn_Gp`Prd<3>zzz<2>_ulRsgHqaHo`GmZFkXFiX<5>BYOAWMAUL9SK\ > <3>7KE6IC5GB5DA4B9497 > } > > Mandscape1 { ; symmetrical inside > ; Time 0.14.02.12 > reset=2004 type=formula formulafile=mfr10.frm > formulaname=multifractal_10 function=exp/exp/exp/exp passes=t > center-mag=-0.504822/-3.9968e-015/1.1027/0.8582 > params=-0.05825983458967864/0.3785210730307932/20222.32595710666/25234.1\ > 111020602/151024.0204808192/384.32768524288/384.00482000595/128.10076800\ > 01/384.10076800005/512.10076800002 float=y maxiter=1024 > inside=maxiter outside=tdis logmap=4 periodicity=0 rseed=-2436 > colors=200A85<17>icNkeOmfP<3>unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q0\ > 0s00<3>z00<25>C00A00800<3>000<23>fffgggiiijjjlll<3>sss<25>BBB999777<2>22\ > 2000012<24>0bo0cq0es<3>0kz<25>09C08A068<2>022000211<2>864 > } > Lite_Zoom { ; Different outside > ; Time 1.51.37.67 > reset=2004 type=formula formulafile=mfr10.frm > formulaname=multifractal_10 function=sin/exp/exp/sin passes=t > center-mag=-1.50466/1.66533e-016/4.219409/1/-90/3.88578058618804789e-016 > params=-0.05825983458967864/0.3785210730307932/21225.64595767025/13234.0\ > 311030602/151024.0204808192/384.32768524288/384.00482000595/256.10076830\ > 01/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter > outside=tdis periodicity=0 rseed=-2436 > colors=2000LS<11>0bo0cq0es<3>0kz<25>09C08A068<2>022000211<21>icNkeOmfP<3\ > >unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q00s00<3>z00<25>C00A00800<3>00\ > 0<11>LLLNNNPPPQQQSSSUUU<6>fffgggiiijjjlll<3>sss<25>BBB999777<2>222000012\ > <11>0JQ > } > > Multimix { ; Lite zoom > ; Time 3.23.44.07 > reset=2004 type=formula formulafile=mfr10.frm > formulaname=multifractal_9 function=sin/exp/exp/sin passes=t > center-mag=-1.22699/8.32667e-017/13.33333/1/90/3.88578058618804789e-016 > params=-0.05825983458967864/0.3785210730307932/21225.64595718025/23434.4\ > 911030602/152048.0409608192/384.3276898304/384.00482000595/256.100768300\ > 1/512.1007683001/768.1007683001 float=y maxiter=3072 inside=maxiter > outside=tdis periodicity=0 rseed=-2436 > colors=2000KQ<6>09C08A068<2>022000211<21>icNkeOmfP<3>unTwpVxqWzsX<25>CB7\ > A96875<3>000400<23>o00q00s00<3>z00<25>C00A00800<3>000<9>IIIKKKLLL<9>bbbd\ > ddfffgggiiijjj<3>qqqsssqqq<24>BBB999777<2>222000012<24>0bo0cq0es<3>0kz<1\ > 7>0LS > } > Hades { ; The gate to the underworld > ; Time 2.09.12.02 > reset=2004 type=formula formulafile=mfr10.frm > formulaname=multifractal_10 function=cos/sin/sin/sin passes=t > center-mag=-0.188053/0.00113846/24.61324/1/-90/3.88578058618804789e-016 > params=-0.05825983458967864/0.3785210730307932/21222.32595700021/22222.0\ > 506020602/551024.0204808192/384.32768524288/384.0048000545/256.100768555\ > 55/512.10076855555/768.10076855555 float=y maxiter=3072 > inside=maxiter outside=tdis logmap=3 periodicity=0 rseed=-2436 > colors=200222<24>iiijjjlll<3>sss<25>BBB999777<2>222000012<24>0bo0cq0es<3\ > >0kz<25>09C08A068<2>022000211<21>icNkeOmfP<3>unTwpVxqWzsX<25>CB7A96875<3\ > >000400<23>o00q00s00<3>z00<31>000 > } > > -----------------------------------------start > frm--------------------------- > FRM:Multifractal_10 { ; Albrecht Niekamp Jan2005 > ;p1 (spider)julia-seed > ;real(p2) 5digits : (1)shape (2)outside (3)inside1 (4)inside2 (5)inside3 > ;0_off 1_secant 2_mand 3_bees 4_jul 5_m_mods 6_phoen 7_newt 8_spider > ; input2: 2digits_many-mods 2digits_phoenix 2digits_spider > ; 1digit_shapereset:0_no 1_dblmandel 2_iter-reset 3_both +5_warp > ; 4digits reset : 0_no 1_z-reset 2_iter-reset 3_both +5_warp > ;imag(p2)(-) 5digits_colour(bailout) number > ; input2 : 4digits(-)_mand/jul 2digits_secant 4digits_bees > ;real(p3) 2digits_newt 4digits_colour1, 5digits_colour2 5digits_colour3 > ;imag(p3) shape : factor (fn1), 5digits_colour4 6digits_colour5 > ;real(p4) outside: factor (fn2), 4+1digits_bord-out 4digits+fract_bord-in > ;imag(p4) inside1: maxit1, 1digit_use:1_maxit 2(7)_bord-out 3(8)_bord-in > ; 5digits_factor1 (fn2) 4digits+fract_border1 > ;real(p5) inside2: maxit2, 1digit_use:1_maxit 2(7)_bord-out 3(8)_bord-in > ; 5digits_factor2 (fn3) 4digits+fract_border2 > ;imag(p5) inside3: maxit3, 1digit_use:1_maxit 2(7)_bord-out 3(8)_bord-in > ; 5digits_factor3 (fn4) 4digits+fract_border3 > ; optional: 1_lake effect, 2digits_frquency 2digits_level 2digits_ampl > ;fn(1) shared by many-mods+bees > ; > le=0 > z=pixel > da=real(p2) > dd=trunc(da) > da=round((da-dd)*100000000000)+11111 > dd=dd+11111 > d=trunc(dd/10000) > dd=dd-d*10000 > d3=(d==4)+(d==5)+(d==8)+(d==9) > d4=d3==0 > vb=d>5 > sc=d==2 > mo=d==6 > px=d==7 > ab=px+(d==3)+(d==5)+(d==9) > d=trunc(dd/1000) > dd=dd-d*1000 > ex1=d>1 > sc1=d==2 > mo1=d==6 > px1=d==7 > v1m=mo1+px1 > v1j=d>7 > dd1=v1j+(d==4)+(d==5) > ab1=px1+(d==3)+(d==5)+(d==9) > d=trunc(dd/100) > dd=dd-d*100 > ex2=d>1 > sc2=d==2 > mo2=d==6 > px2=d==7 > v2m=mo2+px2 > v2j=d>7 > dd2=v2j+(d==4)+(d==5) > ab2=px2+(d==3)+(d==5)+(d==9) > d=trunc(dd/10) > ex3=d>1 > sc3=d==2 > mo3=d==6 > px3=d==7 > v3m=mo3+px3 > v3j=d>7 > dd3=v3j+(d==4)+(d==5) > ab3=px3+(d==3)+(d==5)+(d==9) > d=dd-d*10 > ba=imag(p5) > mi3=trunc(ba) > dd=(d>1)+(mi3>1) > ex4=dd==2 > sc4=d==2 > mo4=d==6 > px4=d==7 > v4m=mo4+px4 > v4j=d>7 > dd4=v4j+(d==4)+(d==5) > ab4=px4+(d==3)+(d==5)+(d==9) > ; > mm=trunc(da/1000000000) > da=da-mm*1000000000 > ph=trunc(da/10000000)/100 > da=da-ph*1000000000 > sp=trunc(da/100000)/100 > da=da-sp*10000000 > d=trunc(da/10000) > ex0=d>4 > da=da-d*10000 > d=d-5*ex0 > dm=(d==2)+(d==4) > ir0=(d==3)+(d==4) > d=trunc(da/1000) > w1=d>4 > da=da-d*1000 > d=d-5*w1 > rs1=(d==2)+(d==4) > ir1=(d==3)+(d==4) > d=trunc(da/100) > w2=d>4 > da=da-d*100 > d=d-5*w2 > rs2=(d==2)+(d==4) > ir2=(d==3)+(d==4) > d=trunc(da/10) > w3=d>4 > da=da-d*10 > d=d-5*w3 > rs3=(d==2)+(d==4) > ir3=(d==3)+(d==4) > d=round(da) > w4=d>4 > d=d-5*w4 > rs4=(d==2)+(d==4) > tt=ex1+ex0+ex2+ex3+ex4 > ; > d=real(p3) > dd=trunc(d) > da=(d-dd)*10000000000 > pp=trunc(dd/10000) > ba1=dd-10000*pp > ba2=trunc(da/100000) > ba3=da-100000*ba2 > ; > d=imag(p3) > sfac=trunc(d) > da=(d-sfac)*100000000000 > ba4=trunc(da/1000000) > ba5=da-ba4*1000000 > ; > d=real(p4) > ofac=trunc(d) > da=(d-ofac)*10000000000 > bh=trunc(da/100000)/10 > bl=(da-bh*1000000)/10 > bs=bl/2 > ; > d=imag(p2) > t=d<0 > if (t) > d=-d > endif > dd=trunc(d) > da=round((d-dd)*10000000000) > d=trunc(dd/10000) > dd=dd-d*10000 > bb0=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) > d=trunc(dd/1000) > dd=dd-d*1000 > bb1=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) > d=trunc(dd/100) > dd=dd-d*100 > bb2=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) > d=trunc(dd/10) > dd=dd-d*10 > bb3=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) > d=round(dd) > bb4=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) > ; > d=da > p0=trunc(d/100000000)/10 > d=d-p0*1000000000 > p6=trunc(d/1000000)/10 > d=d-p6*10000000 > if (t) > p6=-p6 > endif > p7=trunc(d/10000)/10 > d=d-p7*100000 > dp=p6+p0/100 > p8=trunc(d/100)/100 > d=d-p8*10000 > p9=d/100 > ; > d=imag(p4) > mi1=trunc(d) > da=(d-mi1)*100000000000 > d=trunc(da/10000000000) > bt1=d>6 > da=da-d*10000000000 > d=d-5*bt1 > dt1=d>1 > iv1=d==3 > fac1=trunc(da/100000) > da=da-fac1*100000 > bo1=(da/100000)/10 > ; > d=real(p5) > mi2=trunc(d) > da=(d-mi2)*100000000000 > d=trunc(da/10000000000) > bt2=d>6 > da=da-d*10000000000 > d=d-5*bt2 > dt2=d>1 > iv2=d==3 > fac2=trunc(da/100000) > da=da-fac2*100000 > bo2=(da/100000)/10 > ; > if (mi3==1) > d=(ba-mi3)*1000000 > fr=round((trunc(d/10000))*10) ;lake effect by S.Gallet > d=d-fr*1000 > lv=(trunc(d/100))/100 > d=d-lv*10000 > am=d/100 > u=real(rotskew*pi/180) > t=exp(-flip(u)) > bo=1/real(magxmag) > q=bo/0.75*imag(magxmag) > dd=tan(imag(rotskew*pi/180)) > da=2*q*t > rs=2*bo*(dd+flip(1))*t > zz=center+(-q-bo*dd-flip(bo))*t > z=z-zz > d=imag(conj(da)*z)/imag(conj(da)*rs) > le=d<=lv > if (le) > dd=lv-d > z=z+2*dd*(1+am*sin(fr*dd^0.2))*rs > endif > z=z+zz > else > da=(ba-mi3)*100000000000 > d=trunc(da/10000000000) > bt3=d>6 > da=da-d*10000000000 > d=d-5*bt3 > dt3=d>1 > iv3=d==3 > fac3=trunc(da/100000) > da=da-fac3*100000 > bo3=(da/100000)/10 > endif > ; > if (vb) > if (d3) > if (ab) > z=z*le+pixel*(le==0) ;Spider > c=p1 > else > z=z*le+pixel*(le==0) > c=p1 ;newton > endif > elseif (ab) > c=z ;Phoenix > z=z*le+pixel*(le==0) > else > c=0.4*log(sqr(z^mm)) ;many mods > z=0 > endif > elseif (d3) > if (ab) > c=p1 ;Julia > z=z*le+pixel*(le==0) > else ;bees > c=p1 > z=z*le+pixel*(le==0) > endif > elseif (ab) > c=z ;Mandel > z=0 > else > c=z ;Secant > z=z*le+pixel*(le==0) > endif > t=0 > bo=|z| > p=pp > z0=p7 > zold=(0.0,0.0) > cb=p9 > ba=bb0 > : > if (tt) > t=t+1 > if (ex0) > ex0=t<mi1 > if (bo>bs) > u=2*(fn1(t/sfac)) > ex0=0 > if (ir0) > t=0 > endif > if (d4) > z=z*u > if (mo) > c=0.4*log(sqr(z^mm)) > else > c=pixel > endif > else > z=z*le+pixel*(le==0) > cb=p9*u > c=p1*u > p=pp*u > endif > tt=tt-1+ex0 > endif > elseif ((ex1)&&bo>bl) > if (bo<bh) > d3=dd1 > ba=bb1 > ab=ab1 > ex1=0 > tt=tt-1 > if (w1) > u=2*(fn2(t/ofac)) > else > u=1,0 > endif > if (ir1) > t=0 > endif > if (d3) > vb=v1j > if (rs1) > z=pixel > cb=p9*u > c=p1*u > p=pp*u > else > c=p1 > z=z*u > cb=p9 > endif > else > vb=v1m > if (rs1) > c=z*u > z=pixel*(sc1+px1) > z0=p7*u > ph=ph*u > else > c=z > z=z*u > endif > if (mo1) > c=0.4*log(sqr(z^mm)) > endif > endif > endif > elseif (ex2) > if (dt1) > if (iv1) > d=bo>bo1 > else > d=bo<bo1 > endif > if (bt1) > d=d+(t>mi1) > endif > else > d=t>mi1 > endif > if (d) > ab=ab2 > d3=dd2 > ba=bb2 > ex2=0 > tt=tt-1 > if (w2) > u=2*(fn2(t/fac1)) > else > u=1,0 > endif > if (ir2) > t=0 > endif > if (d3) > vb=v2j > if (rs2) > z=pixel > cb=p9*u > c=p1*u > p=pp*u > else > cb=p9 > c=p1 > z=z*u > endif > else > vb=v2m > if (rs2) > c=z*u > z=pixel*(sc2+px2) > z0=p7*u > ph=ph*u > else > c=z > z=z*u > endif > if (mo2) > c=0.4*log(sqr(z^mm)) > endif > endif > endif > elseif (ex3) > if (dt2) > if (iv2) > d=bo>bo2 > else > d=bo<bo2 > endif > if (bt2) > d=d+(t>mi2) > endif > else > d=t>mi2 > endif > if (d) > ab=ab3 > d3=dd3 > ba=bb3 > ex3=0 > tt=tt-1 > if (w3) > u=2*(fn3(t/fac2)) > else > u=1,0 > endif > if (ir3) > t=0 > endif > if (d3) > vb=v3j > if (rs3) > z=pixel > cb=p9*u > c=p1*u > p=pp*u > else > cb=p9 > c=p1 > z=z*u > endif > else > vb=v3m > if (rs3) > c=z*u > z=pixel*(sc3+px3) > z0=p7*u > ph=ph*u > else > c=z > z=z*u > endif > vb=v3m > if (mo3) > c=0.4*log(sqr(z^mm)) > endif > endif > endif > elseif (ex4) > if (dt3) > if (iv3) > d=bo>bo3 > else > d=bo<bo3 > endif > if (bt3) > d=d+(t>mi3) > endif > else > d=t>mi3 > endif > if (d) > ab=ab4 > d3=dd4 > ba=bb4 > ex4=0 > tt=0 > if (w4) > u=2*(fn4(t/fac3)) > else > u=1,0 > endif > if (d3) > vb=v4j > if (rs4) > z=pixel > cb=p9*u > c=p1*u > p=pp*u > else > cb=p9 > c=p1 > z=z*u > endif > else > vb=v4m > if (rs4) > c=z*u > z=pixel*(sc4+px4) > z0=p7*u > ph=ph*u > else > c=z > z=z*u > endif > if (mo4) > c=0.4*log(sqr(z^mm)) > endif > endif > endif > endif > endif > if (vb) > if (d3) > if (ab) > z=z*z+c ;Spiderjul John Horner > c=c*sp+z > else > z1=z^p-1 ;Qusinewton Pusk s Istv n > z2=p*z*z > z=z-z1/z2 > endif > elseif (ab) > z1=z*z+0.56+ph/100-0.5*zold ;Phoenix Mike > Wareman > zold=z > z=z1 > else > z2=fn1(z)+c ;Many_mods Linda Allison > z1=cos(z2) > z=c*(1-z1)/(1+z1) > endif > elseif (d3) > if (ab) > z2=z*z ;Julia Pusk s Istv n > z=z2*z2+p6*z2+c-p0 > else > z1=fn1(z)-cb ;Bees Ray Girvan > z2=z1^p8-1 > z3=p8*(z1^(p8-1)) > z=z-(z2/z3) > endif > elseif (ab) > if (dm) > z=z*z+c+c*c-dp ;Double Mandel > else > z2=z*z ;Mandel Pusk s Istv n > z=z2*z2+p6*z2+c-p0 > endif > else > z3=z ;Secant Mike Wareman > z1=z0*z0*z0*z0-1 > z2=z*z*z*z-1 > z=z-z2*(z-z0)/(z2-z1) > z0=z3 > endif > bo=|z| > bo<ba > } > -----------------------------------------------end-frm---------------------- > - > > > > > ------------------------------ > > Message: 2 > Date: Wed, 02 Feb 2005 09:52:53 -0500 > From: Jim Muth <jamth(a)mindspring.com> > Subject: [Fractint] FOTD 02-02-05 (Triple Beast [5]) > To: fractint(a)mailman.xmission.com > Cc: philofractal(a)lists.fractalus.com > Message-ID: <1.5.4.16.20050202095518.2ac7fde6(a)pop.mindspring.com> > Content-Type: text/plain; charset="us-ascii" > > > FOTD -- February 02, 2005 (Rating 5) > > Fractal visionaries and enthusiasts: > > Today is the next to last time we will meet the fractal beast > that has been prowling the neighborhood for the past two days. > The beast is actually a four-dimensional thing with more aspects > than it has fleas. I named today's view of the critter "Triple > Beast" because the beast appears to have been stretched in three > different directions. > > Most of the features that appear in the Mandelbrot aspect of the > scene are still recognizable, though some have been stretched > almost beyond recognition. And one of the green inner spirals > has apparently split into a double spiral. > > The double spiral is only an accidental effect. It appears > because the calculated slice of the Julibrot that we see on the > screen cuts twice through a curved four-dimensional tube-like > feature something like a rolled-up scroll that has been bent in > the middle. > > Since the beast is starting to become boring, and we have seen > such distorted Mandelbrot features quite a few times before, I > could rate the image no higher than a 5, which is average. But > the beast is near the end of its life, and will make only one > more appearance before being sent to the oblivion where all the > undiscovered fractals are awaiting it. > > The beastly fractal may be glimpsed by running the included > parameter file, or by downloading the finished image from the > FOTD web site at: > > <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> > > The next installment of philosophy is but two days off. So be > patient. Enlightenment is nigh. > > Tuesday was another perfect day for this time of year here at > Fractal Central. Warm sun and a temperature of 39F 3C made > conditions near ideal, at least in the places where the snow had > melted and the ground was bare. The fractal cats enjoyed > conditions to the best of their ability, and when they finally > came indoors, were ready to curl up and sleep. Today is > starting the same. Another good day would appear to be in store > for the duo. > > For me, the work is normal. It looks like the day will be > neutral. This means ample time for the last of the beastly > images. Until the final beast appears in 24 hours, take care, > and be ready for new ideas. > > > Jim Muth > jamth(a)mindspring.com > jimmuth(a)aol.com > > > START PARAMETER FILE======================================= > > Triple_Beast { ; time=0:02:41.04--SF5 on a P200 > reset=2004 type=formula formulafile=allinone.frm > formulaname=SliceJulibrot2 center-mag=-0.000003485\ > 49440916/-0.00000142882743436/518039.3/0.05033/\ > 156.558086503412028/-40.9116101381892818 > params=55/-157/-81/166/0.288136932805/0.4826454054\ > 09/0.288136932805/0.482645405409 float=y > maxiter=5000 inside=0 logmap=288 periodicity=10 > colors=000SYsSXrSWqSVpSUoSTnSSmSQlTOkUMjVKiWIhXGgY\ > Ef_CeaAdcAceAbgAaiA`kC_mEZoGYqIXrKWsMTrOSqQRpSQpUP\ > oWOnXNnYMmZLl_KlaJkcIjeHjgHkhGkgFlfEldDmbCm`BnZAnX\ > 9kV8hT8eR8bP7_N7XL7UJ6RH6OF6LD5IB5FC5CC49D46D43D45\ > E57F59G6AH6CI6EJ7FK7HL8JM8KN8MO9OP9QQARRATSAVTBWUB\ > YVC_WC`XCaYEbZGbZHc_Jd`Kd`MeaNebPfbQgcSgdThdVheWif\ > YjgZjh`kiakjclkdmlfmlgmmimminmjomjpmjqnjrojtpjuqjv\ > rjwsjxtlxujwtivshurgtqftpdsocrmbqlapk`oj_oiYnhXmgW\ > lfVkdUjcTjbRiaQh`Pg_OfZNfYMgXKgVJgUHhTGhREhQDiPBiN\ > AiM8jK7jJ5jI4kG2kF1kE0gH1dJ1aM2ZO2WR3TT3QY4Na4Kf5U\ > o5cs2mz5mz8mzBhtEcrHZqKUoNPnQLmTMkWNjZOiaPidQhgRhj\ > SgmTgpShsTgrTfrTfqTeqUepUbpU_pUZoUUoVTnVTnVSnVSmVR\ > mWRnWQoWQpWPqWPsXOuXOwXNxXNzXMzYMzYLzYLzYKzYKzVOzS\ > SzQWzN_zLczPgzUkzZozcszhvzmuzmwzmvzmvzmuzmuzmtzmtz\ > mszmszmrzmrzmrzmqzmqzmpzmpzmozmozmnzmnzmmzmmzmmzml\ > zmlzmkzmkzmjzmjzmizmizmiz } > > frm:SliceJulibrot2 {; draws most slices of Julibrot > pix=pixel, u=real(pix), v=imag(pix), > a=pi*real(p1*0.0055555555555556), > b=pi*imag(p1*0.0055555555555556), > g=pi*real(p2*0.0055555555555556), > d=pi*imag(p2*0.0055555555555556), > ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), > sg=sin(g), cd=cos(d), sd=sin(d), > p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), > q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), > r=u*sg+v*ca*sb*cg, s=v*sin(a), > c=p+flip(q)+p3, z=r+flip(s)+p4: > z=sqr(z)+c > |z|<=9 } > > END PARAMETER FILE========================================= > > > > > ------------------------------ > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > > > End of Fractint Digest, Vol 24, Issue 2 > *************************************** >

1 0

FOTD 02-02-05 (Triple Beast [5])
by Jim Muth 02 Feb '05

02 Feb '05

FOTD -- February 02, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today is the next to last time we will meet the fractal beast that has been prowling the neighborhood for the past two days. The beast is actually a four-dimensional thing with more aspects than it has fleas. I named today's view of the critter "Triple Beast" because the beast appears to have been stretched in three different directions. Most of the features that appear in the Mandelbrot aspect of the scene are still recognizable, though some have been stretched almost beyond recognition. And one of the green inner spirals has apparently split into a double spiral. The double spiral is only an accidental effect. It appears because the calculated slice of the Julibrot that we see on the screen cuts twice through a curved four-dimensional tube-like feature something like a rolled-up scroll that has been bent in the middle. Since the beast is starting to become boring, and we have seen such distorted Mandelbrot features quite a few times before, I could rate the image no higher than a 5, which is average. But the beast is near the end of its life, and will make only one more appearance before being sent to the oblivion where all the undiscovered fractals are awaiting it. The beastly fractal may be glimpsed by running the included parameter file, or by downloading the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The next installment of philosophy is but two days off. So be patient. Enlightenment is nigh. Tuesday was another perfect day for this time of year here at Fractal Central. Warm sun and a temperature of 39F 3C made conditions near ideal, at least in the places where the snow had melted and the ground was bare. The fractal cats enjoyed conditions to the best of their ability, and when they finally came indoors, were ready to curl up and sleep. Today is starting the same. Another good day would appear to be in store for the duo. For me, the work is normal. It looks like the day will be neutral. This means ample time for the last of the beastly images. Until the final beast appears in 24 hours, take care, and be ready for new ideas. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Triple_Beast { ; time=0:02:41.04--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot2 center-mag=-0.000003485\ 49440916/-0.00000142882743436/518039.3/0.05033/\ 156.558086503412028/-40.9116101381892818 params=55/-157/-81/166/0.288136932805/0.4826454054\ 09/0.288136932805/0.482645405409 float=y maxiter=5000 inside=0 logmap=288 periodicity=10 colors=000SYsSXrSWqSVpSUoSTnSSmSQlTOkUMjVKiWIhXGgY\ Ef_CeaAdcAceAbgAaiA`kC_mEZoGYqIXrKWsMTrOSqQRpSQpUP\ oWOnXNnYMmZLl_KlaJkcIjeHjgHkhGkgFlfEldDmbCm`BnZAnX\ 9kV8hT8eR8bP7_N7XL7UJ6RH6OF6LD5IB5FC5CC49D46D43D45\ E57F59G6AH6CI6EJ7FK7HL8JM8KN8MO9OP9QQARRATSAVTBWUB\ YVC_WC`XCaYEbZGbZHc_Jd`Kd`MeaNebPfbQgcSgdThdVheWif\ YjgZjh`kiakjclkdmlfmlgmmimminmjomjpmjqnjrojtpjuqjv\ rjwsjxtlxujwtivshurgtqftpdsocrmbqlapk`oj_oiYnhXmgW\ lfVkdUjcTjbRiaQh`Pg_OfZNfYMgXKgVJgUHhTGhREhQDiPBiN\ AiM8jK7jJ5jI4kG2kF1kE0gH1dJ1aM2ZO2WR3TT3QY4Na4Kf5U\ o5cs2mz5mz8mzBhtEcrHZqKUoNPnQLmTMkWNjZOiaPidQhgRhj\ SgmTgpShsTgrTfrTfqTeqUepUbpU_pUZoUUoVTnVTnVSnVSmVR\ mWRnWQoWQpWPqWPsXOuXOwXNxXNzXMzYMzYLzYLzYKzYKzVOzS\ SzQWzN_zLczPgzUkzZozcszhvzmuzmwzmvzmvzmuzmuzmtzmtz\ mszmszmrzmrzmrzmqzmqzmpzmpzmozmozmnzmnzmmzmmzmmzml\ zmlzmkzmkzmjzmjzmizmizmiz } frm:SliceJulibrot2 {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)+c |z|<=9 } END PARAMETER FILE=========================================

1 0

Fractint_Multifractal
by Albrecht.Niekamp＠t-online.de 02 Feb '05

02 Feb '05

Hi, IÂ´m back again. There are several reasons. The first one is that I managed to boot Windoze98 as additional OS. As you know this OS has a perfect DOS support and allows switching between DOS and windows vv. Also I like it because it is compact and easy to handle. All the hardware, AGP, USB, DVD, Firewire etc is there. For Fractint I use an ancient Nvidia G-force 4 video card which has full Vesa support, also 1600/1200. The second reason is that I have some ideas how to improve and complete my multifractal formula. There is another one not mentioned today. In my email archive dated July19 I found a request by David Lowenstein asking for multifractals composed of different fractals at the same time. Maybe this is an answer, although possibly not the one you expected. Multifractal_10 composes images using max 5 different formulas simultaneously. There are 9 frms to choose from. There are five "channels": basic shape, outside and inside 1-3.The transitions are controlled by an iteration counter or by border (z) values, in and out (bigger or smaller), or iteration and border simultaneously. At the transition points optional resets are provided, either of the iteration counter or the z-value (or both), which affect the coloring and further iteration. Five different bailout values can be applied, ranging from 1 to one million. The effect is compression or expansion of the colours. A unique programmable "warp-effect" can be applied to each channel. It changes the behaviour and looks of the channels, pending on previous iterations, a choosable function and a "warp" factor. Maybe this just means a distortion, maybe a 3d effect. Sylvie GalletÂ´s lake effect is optional, fully integrated and works with all formulas, inside3 is shut off if activated. There now is a second basic "Double mandel" which allows the creation of "mandscapes", 2 samples with different insides, symmetric or asymmetric are provided. The par-files are demos for the contributing formulas to give you an impression about their looks, mostly with activated lake effect. "Pandemonium" is a basic image with lots of zooming spots. I gave it that name because so many different structures are hidden somewhere. "Debugflag=322" must be deactivated. Please check your SS-tools.ini. Any questions are welcome, of course. Attached is a printable wordpad file which is handy if you should want to compose your own image. If it does not get through, please paste the following part to an editor, using size9 to make it small enough for one sheet of paper. Sincerely, Al. ---------------------------------------------------------------------------- - Multifractal_10 Inputs Real P2 First Input (before the dot) 5 Digits : Channels : 1_Basic Shape 2_Outside 3_Inside1 4_Inside2 Inside3 Frms: 1_Secant 2_Mandel(2) 3_Bees 4_Julia 5_Many Mods 6_Phoenix 7_Newton 8_Spider Second Input (after the dot) 2 Digits_Many Mods_Number of sides 2 Digits_Phoenix 2 Digits_Spider 1 Digit_Reset on Transitions (Shape) 0_no 1_Dble Mandel 2_Iter-reset 3_both +5_warp 4 Digits_Reset Channels 2-5 0_no 1_z-reset 2_Iter-reset 3_both +5_warp Imag P2 First Input 5 Digits_Colour (Bailout) Number for each channel (5 available) Second Input Variables : 4 Digits_Mand/Jul (2 var) 2 Digits_Secant 4 Digits_Bees Real P3 First Input 2 Digits_Newtonvariable 4 Digits_Colour1 Second Input 5 Digits_Colour2 5 Digits_Colour3 Imag P3 First Input Basic Shape : Warp-factor (fn1 is used) Second Input 5 Digits_Colour4 6 Digits_Colour5 Real P4 First Input Outside : Warp-factor (fn2 is used) Second Input Outside : 4 Digits+1fractal digit_Border-out 4 Digits+1 fractaldigit_Border-in Imag P4 First Input Inside1_Maxiter Second Input Inside1 : 1 Digit_Transition: 1_maxiter 2_borderout 3_borderin +5_maxiter+border 5 Digits_warp factor (fn2 is used) 4 Digits+1 fractaldigit_border1 Real P5 First Input Inside2_Maxiter Second Input Inside2 : 1 Digit_Transition: 1_maxiter 2_borderout 3_borderin +5_maxiter+border 5 Digits_warp factor (fn3 is used) 4 Digits+1 fractaldigit_border2 Imag P5 First Input Inside3_Maxiter Second Input Inside3 : 1 Digit_Transition: 1_maxiter 2_borderout 3_borderin +5_maxiter+border 5 Digits_Warp factor (fn4 is used) 4 Digits+1 fractal digit_border3 Alternate Input Imag P5 First Input : 1_Lake effect enabled (Inside3 disabled) Second Input : 2 Digits_Frequency 2 Digits_Waterlevel 2 Digits_Amplitude ------------------------start-pars----------------------------------------- Secant_basic { ; Lake effect active ; Time 0.42.00.86 reset=2004 type=formula formulafile=mfr10.frm formulaname=multifractal_10 function=sin/sin/exp/sin passes=t center-mag=0.332423/0.00308737/1.230666/1/-90/3.88578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/10000.32595700022/55234.0\ 506020602/151024.0204808192/384.32768524288/384.00482000595/256.1007683/\ 512.1007683001/1.244062 float=y maxiter=1024 inside=maxiter outside=tdis logmap=4 periodicity=0 rseed=-2436 colors=200A85<17>icNkeOmfP<3>unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q0\ 0s00<3>z00<25>C00A00800<3>000<12>NNNPPPQQQ<8>fffgggiiijjjlll<3>sss<25>BB\ B999777<2>222000012<24>0bo0cq0es<3>0kz<25>09C08A068<2>022000211<2>864 } Bees_Basic { ; Lake effect active ; Time 0.09.10.85 reset=2004 type=formula formulafile=mfr10.frm formulaname=multifractal_10 function=sin/sin/exp/sin passes=t center-mag=1.00827/0.00308737/0.6630435/1/-90/3.88578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/30000.32595700022/35234.0\ 506020602/151024.0204808192/384.32768524288/384.00482000595/256.1007683/\ 512.1007683001/1.244062 float=y maxiter=1024 inside=maxiter outside=tdis logmap=4 periodicity=0 rseed=-2436 colors=200A85<17>icNkeOmfP<3>unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q0\ 0s00<3>z00<25>C00A00800<3>000<23>fffgggiiijjjlll<3>sss<25>BBB999777<2>22\ 2000012<24>0bo0cq0es<3>0kz<25>09C08A068<2>022000211<2>864 } Julia_Basic { ; Lake effect active ; Time 0.31.26.42 reset=2004 type=formula formulafile=mfr10.frm formulaname=multifractal_10 function=sin/sin/exp/sin passes=t center-mag=0.0659115/0.0324086/1.087898/1.0222/90/3.88578058618804789e-0\ 16 params=-0.05825983458967864/0.3785210730307932/40000.32595700022/25234.0\ 506020602/151024.0204808192/384.32768524288/384.00482000595/256.1007683/\ 512.1007683001/1.244062 float=y maxiter=1024 inside=maxiter outside=tdis logmap=4 periodicity=0 rseed=-2436 colors=000047049<5>0BL0DN0DP<4>0KZ0L`0Mb0Nd0Of0Qh<3>0Up4Yr8atCgvGkxKqz<3\ >4_s0Vq0Uo<12>0FQ0DO0DM<3>08E06C06A048046024012000100<12>R0LT0NV0PX0P<3>\ d0Wf0Yh0Z<3>p0e<3>xOtzUxyOuwIquCns6iq0g<2>k0bi0`g0_e0Z<3>Y0SW0RU0O<5>I0F\ G0EE0CC0A<3>304102010<4>0B10D10F10H20J20L20N2<2>0T40V40X3<3>0d40f50h5<3>\ 0p6<3>WxZczeUyY<2>0s8<4>0i60g60e60c4<2>0Y40W30U4<5>0I20G20E20C20A1081<3>\ 0000101221532653863A84DA5EB5HB<2>7NG8PI8RJ9TKAVNAXM<3>DdTDfVEhWFjYFlYGn_\ Gp`Prd<3>zzz<2>_ulRsgHqaHo`GmZFkXFiX<5>BYOAWMAUL9SK<4>6IC5GB5DA<5>121000\ 001023025 } Phoenix_basic { ; Lake effect enabled ; Time 0.19.25.24 reset=2004 type=formula formulafile=mfr10.frm formulaname=multifractal_10 function=exp/sin/exp/sin passes=t center-mag=0.332423/0.00308737/1.230666/1/-90/3.88578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/60000.32565700023/25234.0\ 506030602/151024.0204808192/384.32768524288/384.00482000595/256.1007683/\ 512.1007683001/1.244062 float=y maxiter=1024 inside=maxiter logmap=5 periodicity=0 rseed=-2436 colors=200432<20>icNkeOmfP<3>unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q0\ 0s00<3>z00<25>C00A00800<3>000<7>FFFHHHJJJ<9>___aaaccc<3>iiijjjlll<3>sss<\ 25>BBB999777<2>222000012<24>0bo0cq0es<3>0kz<25>09C08A068<2>022000211 } Newton_Basic { ; Lake effect active reset=2004 type=formula formulafile=mfr9n.frm formulaname=multifractal_10 function=exp/sin/exp/sin passes=t center-mag=0.332423/0.00308737/1.230666/1/-90/3.88578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/70000.32595700023/55234.0\ 506030602/152048.0404808048/384.1604894048/384.00482000595/256.1007683/5\ 12.1007683001/1.244062 float=y maxiter=1024 inside=maxiter outside=tdis logmap=2 periodicity=0 rseed=-2436 colors=200432<20>icNkeOmfP<3>unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q0\ 0s00<3>z00<25>C00A00800<3>000<9>IIIKKKLLL<9>bbbdddfffgggiiijjj<3>qqqsssq\ qq<24>BBB999777<2>222000012<24>0bo0cq0es<3>0kz<25>09C08A068<2>022000211 } Spider_Basic { ; Lake effect active ; Time 0.09.42.76 reset=2004 type=formula formulafile=mfr10.frm formulaname=multifractal_10 function=exp/sin/exp/sin passes=t center-mag=0.332423/0.00308737/1.230666/1/-90/3.88578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/80000.32595700023/25234.0\ 506030602/151024.0204808192/384.32768524288/384.00482000595/256.1007683/\ 512.1007683001/1.244062 float=y maxiter=1024 inside=maxiter outside=tdis logmap=4 periodicity=0 rseed=-2436 colors=2000NU<8>09C08A068<2>022000211<21>icNkeOmfP<3>unTwpVxqWzsX<25>CB7\ A96875<3>000400<23>o00q00s00<3>z00<25>C00A00800<3>000<11>LLLNNNPPPQQQSSS\ UUU<6>fffgggiiijjjlll<3>sss<25>BBB999777<2>222000012<24>0bo0cq0es<3>0kz<\ 15>0OW } Many_mods_basic { ; Lake effect active reset=2004 type=formula formulafile=mfr10.frm formulaname=multifractal_10 function=sin/sin/exp/sin passes=t center-mag=0.332423/0.00308737/1.230666/1/-90/3.88578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/50000.16595700022/55234.0\ 506020602/151024.0204808192/384.32768524288/384.00482000595/256.1007683/\ 512.1007683001/1.244062 float=y maxiter=1024 inside=maxiter outside=tdis logmap=yes periodicity=0 rseed=-2436 colors=20009C<19>0bo0cq0es<3>0kz<25>09C08A068<2>022000211<21>icNkeOmfP<3\ >unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q00s00<3>z00<25>C00A00800<3>00\ 0<23>fffgggiiijjjlll<3>sss<25>BBB999777<2>222000012<3>07A } Pandemonium { ; Time 0.21.15.48 ; reset=2004 type=formula formulafile=mfr10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.489028/0/0.6666667 params=-0.05825983458967864/0.3785210730307932/21225.64595718025/21235.0\ 311030602/150056.0204808192/384.32768524288/384.00482000595/256.10076830\ 01/512.1007683001/768.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=2000gt<22>09C08A068<2>022000211<21>icNkeOmfP<3>unTwpVxqWzsX<25>CB\ 7A96875<3>000400<23>o00q00s00<3>z00<25>C00A00800<3>000<23>fffgggiiijjjll\ l<3>sss<25>BBB999777<2>222000012<22>0_k0am0bo0cq<4>0kz0jx0hv } Mandscape2 { ; asymmetrical inside ; Time 0.14.07.06 reset=2004 type=formula formulafile=mfr10.frm formulaname=multifractal_10 function=exp/exp/exp/sin passes=t center-mag=-0.504822/4.44089e-016/0.9463538 params=-0.05825983458967864/0.3785210730307932/20227.32595710661/25255.1\ 111020602/151024.0204808192/384.32768524288/384.00482000595/128.10076800\ 01/512.10076800005/768.10076800002 float=y maxiter=1024 inside=maxiter outside=tdis logmap=4 periodicity=0 rseed=-2436 colors=000376<2>121000001023025047049<5>0BL0DN0DP<4>0KZ0L`0Mb0Nd0Of0Qh<3\ >0Up4Yr8atCgvGkxKqz<3>4_s0Vq0Uo<12>0FQ0DO0DM<3>08E06C06A0480460240120001\ 00<12>R0LT0NV0PX0P<3>d0Wf0Yh0Z<3>p0e<3>xOtzUxyOuwIquCns6iq0g<2>k0bi0`g0_\ e0Z<3>Y0SW0RU0O<5>I0FG0EE0CC0A<3>304102010<4>0B10D10F10H20J20L20N2<2>0T4\ 0V40X3<3>0d40f50h5<3>0p6<3>WxZczeUyY<2>0s8<4>0i60g60e60c4<2>0Y40W30U4<5>\ 0I20G20E20C20A1081<3>0000101221532653863A84DA5EB5HB<2>7NG8PI8RJ9TKAVNAXM\ <3>DdTDfVEhWFjYFlYGn_Gp`Prd<3>zzz<2>_ulRsgHqaHo`GmZFkXFiX<5>BYOAWMAUL9SK\ <3>7KE6IC5GB5DA4B9497 } Mandscape1 { ; symmetrical inside ; Time 0.14.02.12 reset=2004 type=formula formulafile=mfr10.frm formulaname=multifractal_10 function=exp/exp/exp/exp passes=t center-mag=-0.504822/-3.9968e-015/1.1027/0.8582 params=-0.05825983458967864/0.3785210730307932/20222.32595710666/25234.1\ 111020602/151024.0204808192/384.32768524288/384.00482000595/128.10076800\ 01/384.10076800005/512.10076800002 float=y maxiter=1024 inside=maxiter outside=tdis logmap=4 periodicity=0 rseed=-2436 colors=200A85<17>icNkeOmfP<3>unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q0\ 0s00<3>z00<25>C00A00800<3>000<23>fffgggiiijjjlll<3>sss<25>BBB999777<2>22\ 2000012<24>0bo0cq0es<3>0kz<25>09C08A068<2>022000211<2>864 } Lite_Zoom { ; Different outside ; Time 1.51.37.67 reset=2004 type=formula formulafile=mfr10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-1.50466/1.66533e-016/4.219409/1/-90/3.88578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/21225.64595767025/13234.0\ 311030602/151024.0204808192/384.32768524288/384.00482000595/256.10076830\ 01/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=2000LS<11>0bo0cq0es<3>0kz<25>09C08A068<2>022000211<21>icNkeOmfP<3\ >unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q00s00<3>z00<25>C00A00800<3>00\ 0<11>LLLNNNPPPQQQSSSUUU<6>fffgggiiijjjlll<3>sss<25>BBB999777<2>222000012\ <11>0JQ } Multimix { ; Lite zoom ; Time 3.23.44.07 reset=2004 type=formula formulafile=mfr10.frm formulaname=multifractal_9 function=sin/exp/exp/sin passes=t center-mag=-1.22699/8.32667e-017/13.33333/1/90/3.88578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/21225.64595718025/23434.4\ 911030602/152048.0409608192/384.3276898304/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=2000KQ<6>09C08A068<2>022000211<21>icNkeOmfP<3>unTwpVxqWzsX<25>CB7\ A96875<3>000400<23>o00q00s00<3>z00<25>C00A00800<3>000<9>IIIKKKLLL<9>bbbd\ ddfffgggiiijjj<3>qqqsssqqq<24>BBB999777<2>222000012<24>0bo0cq0es<3>0kz<1\ 7>0LS } Hades { ; The gate to the underworld ; Time 2.09.12.02 reset=2004 type=formula formulafile=mfr10.frm formulaname=multifractal_10 function=cos/sin/sin/sin passes=t center-mag=-0.188053/0.00113846/24.61324/1/-90/3.88578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/21222.32595700021/22222.0\ 506020602/551024.0204808192/384.32768524288/384.0048000545/256.100768555\ 55/512.10076855555/768.10076855555 float=y maxiter=3072 inside=maxiter outside=tdis logmap=3 periodicity=0 rseed=-2436 colors=200222<24>iiijjjlll<3>sss<25>BBB999777<2>222000012<24>0bo0cq0es<3\ >0kz<25>09C08A068<2>022000211<21>icNkeOmfP<3>unTwpVxqWzsX<25>CB7A96875<3\ >000400<23>o00q00s00<3>z00<31>000 } -----------------------------------------start frm--------------------------- FRM:Multifractal_10 { ; Albrecht Niekamp Jan2005 ;p1 (spider)julia-seed ;real(p2) 5digits : (1)shape (2)outside (3)inside1 (4)inside2 (5)inside3 ;0_off 1_secant 2_mand 3_bees 4_jul 5_m_mods 6_phoen 7_newt 8_spider ; input2: 2digits_many-mods 2digits_phoenix 2digits_spider ; 1digit_shapereset:0_no 1_dblmandel 2_iter-reset 3_both +5_warp ; 4digits reset : 0_no 1_z-reset 2_iter-reset 3_both +5_warp ;imag(p2)(-) 5digits_colour(bailout) number ; input2 : 4digits(-)_mand/jul 2digits_secant 4digits_bees ;real(p3) 2digits_newt 4digits_colour1, 5digits_colour2 5digits_colour3 ;imag(p3) shape : factor (fn1), 5digits_colour4 6digits_colour5 ;real(p4) outside: factor (fn2), 4+1digits_bord-out 4digits+fract_bord-in ;imag(p4) inside1: maxit1, 1digit_use:1_maxit 2(7)_bord-out 3(8)_bord-in ; 5digits_factor1 (fn2) 4digits+fract_border1 ;real(p5) inside2: maxit2, 1digit_use:1_maxit 2(7)_bord-out 3(8)_bord-in ; 5digits_factor2 (fn3) 4digits+fract_border2 ;imag(p5) inside3: maxit3, 1digit_use:1_maxit 2(7)_bord-out 3(8)_bord-in ; 5digits_factor3 (fn4) 4digits+fract_border3 ; optional: 1_lake effect, 2digits_frquency 2digits_level 2digits_ampl ;fn(1) shared by many-mods+bees ; le=0 z=pixel da=real(p2) dd=trunc(da) da=round((da-dd)*100000000000)+11111 dd=dd+11111 d=trunc(dd/10000) dd=dd-d*10000 d3=(d==4)+(d==5)+(d==8)+(d==9) d4=d3==0 vb=d>5 sc=d==2 mo=d==6 px=d==7 ab=px+(d==3)+(d==5)+(d==9) d=trunc(dd/1000) dd=dd-d*1000 ex1=d>1 sc1=d==2 mo1=d==6 px1=d==7 v1m=mo1+px1 v1j=d>7 dd1=v1j+(d==4)+(d==5) ab1=px1+(d==3)+(d==5)+(d==9) d=trunc(dd/100) dd=dd-d*100 ex2=d>1 sc2=d==2 mo2=d==6 px2=d==7 v2m=mo2+px2 v2j=d>7 dd2=v2j+(d==4)+(d==5) ab2=px2+(d==3)+(d==5)+(d==9) d=trunc(dd/10) ex3=d>1 sc3=d==2 mo3=d==6 px3=d==7 v3m=mo3+px3 v3j=d>7 dd3=v3j+(d==4)+(d==5) ab3=px3+(d==3)+(d==5)+(d==9) d=dd-d*10 ba=imag(p5) mi3=trunc(ba) dd=(d>1)+(mi3>1) ex4=dd==2 sc4=d==2 mo4=d==6 px4=d==7 v4m=mo4+px4 v4j=d>7 dd4=v4j+(d==4)+(d==5) ab4=px4+(d==3)+(d==5)+(d==9) ; mm=trunc(da/1000000000) da=da-mm*1000000000 ph=trunc(da/10000000)/100 da=da-ph*1000000000 sp=trunc(da/100000)/100 da=da-sp*10000000 d=trunc(da/10000) ex0=d>4 da=da-d*10000 d=d-5*ex0 dm=(d==2)+(d==4) ir0=(d==3)+(d==4) d=trunc(da/1000) w1=d>4 da=da-d*1000 d=d-5*w1 rs1=(d==2)+(d==4) ir1=(d==3)+(d==4) d=trunc(da/100) w2=d>4 da=da-d*100 d=d-5*w2 rs2=(d==2)+(d==4) ir2=(d==3)+(d==4) d=trunc(da/10) w3=d>4 da=da-d*10 d=d-5*w3 rs3=(d==2)+(d==4) ir3=(d==3)+(d==4) d=round(da) w4=d>4 d=d-5*w4 rs4=(d==2)+(d==4) tt=ex1+ex0+ex2+ex3+ex4 ; d=real(p3) dd=trunc(d) da=(d-dd)*10000000000 pp=trunc(dd/10000) ba1=dd-10000*pp ba2=trunc(da/100000) ba3=da-100000*ba2 ; d=imag(p3) sfac=trunc(d) da=(d-sfac)*100000000000 ba4=trunc(da/1000000) ba5=da-ba4*1000000 ; d=real(p4) ofac=trunc(d) da=(d-ofac)*10000000000 bh=trunc(da/100000)/10 bl=(da-bh*1000000)/10 bs=bl/2 ; d=imag(p2) t=d<0 if (t) d=-d endif dd=trunc(d) da=round((d-dd)*10000000000) d=trunc(dd/10000) dd=dd-d*10000 bb0=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/1000) dd=dd-d*1000 bb1=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/100) dd=dd-d*100 bb2=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/10) dd=dd-d*10 bb3=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=round(dd) bb4=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) ; d=da p0=trunc(d/100000000)/10 d=d-p0*1000000000 p6=trunc(d/1000000)/10 d=d-p6*10000000 if (t) p6=-p6 endif p7=trunc(d/10000)/10 d=d-p7*100000 dp=p6+p0/100 p8=trunc(d/100)/100 d=d-p8*10000 p9=d/100 ; d=imag(p4) mi1=trunc(d) da=(d-mi1)*100000000000 d=trunc(da/10000000000) bt1=d>6 da=da-d*10000000000 d=d-5*bt1 dt1=d>1 iv1=d==3 fac1=trunc(da/100000) da=da-fac1*100000 bo1=(da/100000)/10 ; d=real(p5) mi2=trunc(d) da=(d-mi2)*100000000000 d=trunc(da/10000000000) bt2=d>6 da=da-d*10000000000 d=d-5*bt2 dt2=d>1 iv2=d==3 fac2=trunc(da/100000) da=da-fac2*100000 bo2=(da/100000)/10 ; if (mi3==1) d=(ba-mi3)*1000000 fr=round((trunc(d/10000))*10) ;lake effect by S.Gallet d=d-fr*1000 lv=(trunc(d/100))/100 d=d-lv*10000 am=d/100 u=real(rotskew*pi/180) t=exp(-flip(u)) bo=1/real(magxmag) q=bo/0.75*imag(magxmag) dd=tan(imag(rotskew*pi/180)) da=2*q*t rs=2*bo*(dd+flip(1))*t zz=center+(-q-bo*dd-flip(bo))*t z=z-zz d=imag(conj(da)*z)/imag(conj(da)*rs) le=d<=lv if (le) dd=lv-d z=z+2*dd*(1+am*sin(fr*dd^0.2))*rs endif z=z+zz else da=(ba-mi3)*100000000000 d=trunc(da/10000000000) bt3=d>6 da=da-d*10000000000 d=d-5*bt3 dt3=d>1 iv3=d==3 fac3=trunc(da/100000) da=da-fac3*100000 bo3=(da/100000)/10 endif ; if (vb) if (d3) if (ab) z=z*le+pixel*(le==0) ;Spider c=p1 else z=z*le+pixel*(le==0) c=p1 ;newton endif elseif (ab) c=z ;Phoenix z=z*le+pixel*(le==0) else c=0.4*log(sqr(z^mm)) ;many mods z=0 endif elseif (d3) if (ab) c=p1 ;Julia z=z*le+pixel*(le==0) else ;bees c=p1 z=z*le+pixel*(le==0) endif elseif (ab) c=z ;Mandel z=0 else c=z ;Secant z=z*le+pixel*(le==0) endif t=0 bo=|z| p=pp z0=p7 zold=(0.0,0.0) cb=p9 ba=bb0 : if (tt) t=t+1 if (ex0) ex0=t<mi1 if (bo>bs) u=2*(fn1(t/sfac)) ex0=0 if (ir0) t=0 endif if (d4) z=z*u if (mo) c=0.4*log(sqr(z^mm)) else c=pixel endif else z=z*le+pixel*(le==0) cb=p9*u c=p1*u p=pp*u endif tt=tt-1+ex0 endif elseif ((ex1)&&bo>bl) if (bo<bh) d3=dd1 ba=bb1 ab=ab1 ex1=0 tt=tt-1 if (w1) u=2*(fn2(t/ofac)) else u=1,0 endif if (ir1) t=0 endif if (d3) vb=v1j if (rs1) z=pixel cb=p9*u c=p1*u p=pp*u else c=p1 z=z*u cb=p9 endif else vb=v1m if (rs1) c=z*u z=pixel*(sc1+px1) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo1) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex2) if (dt1) if (iv1) d=bo>bo1 else d=bo<bo1 endif if (bt1) d=d+(t>mi1) endif else d=t>mi1 endif if (d) ab=ab2 d3=dd2 ba=bb2 ex2=0 tt=tt-1 if (w2) u=2*(fn2(t/fac1)) else u=1,0 endif if (ir2) t=0 endif if (d3) vb=v2j if (rs2) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v2m if (rs2) c=z*u z=pixel*(sc2+px2) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo2) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex3) if (dt2) if (iv2) d=bo>bo2 else d=bo<bo2 endif if (bt2) d=d+(t>mi2) endif else d=t>mi2 endif if (d) ab=ab3 d3=dd3 ba=bb3 ex3=0 tt=tt-1 if (w3) u=2*(fn3(t/fac2)) else u=1,0 endif if (ir3) t=0 endif if (d3) vb=v3j if (rs3) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v3m if (rs3) c=z*u z=pixel*(sc3+px3) z0=p7*u ph=ph*u else c=z z=z*u endif vb=v3m if (mo3) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex4) if (dt3) if (iv3) d=bo>bo3 else d=bo<bo3 endif if (bt3) d=d+(t>mi3) endif else d=t>mi3 endif if (d) ab=ab4 d3=dd4 ba=bb4 ex4=0 tt=0 if (w4) u=2*(fn4(t/fac3)) else u=1,0 endif if (d3) vb=v4j if (rs4) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v4m if (rs4) c=z*u z=pixel*(sc4+px4) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo4) c=0.4*log(sqr(z^mm)) endif endif endif endif endif if (vb) if (d3) if (ab) z=z*z+c ;Spiderjul John Horner c=c*sp+z else z1=z^p-1 ;Qusinewton Pusk s Istv n z2=p*z*z z=z-z1/z2 endif elseif (ab) z1=z*z+0.56+ph/100-0.5*zold ;Phoenix Mike Wareman zold=z z=z1 else z2=fn1(z)+c ;Many_mods Linda Allison z1=cos(z2) z=c*(1-z1)/(1+z1) endif elseif (d3) if (ab) z2=z*z ;Julia Pusk s Istv n z=z2*z2+p6*z2+c-p0 else z1=fn1(z)-cb ;Bees Ray Girvan z2=z1^p8-1 z3=p8*(z1^(p8-1)) z=z-(z2/z3) endif elseif (ab) if (dm) z=z*z+c+c*c-dp ;Double Mandel else z2=z*z ;Mandel Pusk s Istv n z=z2*z2+p6*z2+c-p0 endif else z3=z ;Secant Mike Wareman z1=z0*z0*z0*z0-1 z2=z*z*z*z-1 z=z-z2*(z-z0)/(z2-z1) z0=z3 endif bo=|z| bo<ba } -----------------------------------------------end-frm---------------------- -

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FOTD 01-02-05 (The True Beast [6])
by Jim Muth 01 Feb '05

01 Feb '05

FOTD -- February 01, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's image bears the name "The True Beast". I gave it this name because it brings out the full beastly nature that was partly hidden in yesterday's image. Today's image shows the same midget that appeared yesterday, but the midget has been sliced in a different direction, one that is totally oblique to all six perpendicular planes of the four-dimensional Julibrot. In yesterday's image the spiral arms could be seen and followed as they multiplied and converged onto the midget. In today's image the arms are still there, but they are of a different number, and they no longer converge on the midget. Some arms have vanished entirely, leaving only traces where they almost appear. Others have morphed into horseshoe-like shapes, while still others have become concentric closed rings. I have kept the color palette and logmap from yesterday's image so that the corresponding parts can be more readily identified, but considerable stretching and skewing was necessary to restore the image to the same proportions. To see the area when it is unstretched, go the the 'z' screen, then the 'f6' screen and reset the 'x' mag factor to 1. Due to the skewing, the midget is some distance off the screen to the right, but it can easily be seen why stretching was necessary. The rating of a 6 might be a bit overdone, but today's image is still curious, amd well worth a look. The image may be viewed by running the attached parameter file or by downloading it, already rendered, from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The philosophy, entertaining if not enlightening, is included in the philofractal version of today's FOTD. With warm sun and a temperature of 39F 3C, Monday was marred only by the soggy melting snow still covering the yard. The cats managed over an hour on the porch and even enjoyed a short trek to the holly thicket. When the day ended, they were happy enough so that no special treat was needed. This morning is starting the same as Monday. I assume the duo will have a similar day. For me the work is about average, which means that the next FOTD will appear in 24 hours as scheduled. Until then, take care, and be open minded but not too credulous. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_True_Beast { ; time=0:02:44.06--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=Slicejulibrot2 center-mag=+0.000005602\ 47472017/+0.00000088644054031/846681.8/0.02445/\ 171.009021891882384/-58.4065041085181846 params=195/2.76/81.96/-30.91/0.288136932805/0.4826\ 45405409/0.288136932805/0.482645405409 float=y maxiter=5000 inside=0 logmap=288 periodicity=10 colors=000SYsSXrSWqSVpSUoSTnSSmSQlTOkUMjVKiWIhXGgY\ Ef_CeaAdcAceAbgAaiA`kC_mEZoGYqIXrKWsMTrOSqQRpSQpUP\ oWOnXNnYMmZLl_KlaJkcIjeHjgHkhGkgFlfEldDmbCm`BnZAnX\ 9kV8hT8eR8bP7_N7XL7UJ6RH6OF6LD5IB5FC5CC49D46D43D45\ E57F59G6AH6CI6EJ7FK7HL8JM8KN8MO9OP9QQARRATSAVTBWUB\ YVC_WC`XCaYEbZGbZHc_Jd`Kd`MeaNebPfbQgcSgdThdVheWif\ YjgZjh`kiakjclkdmlfmlgmmimminmjomjpmjqnjrojtpjuqjv\ rjwsjxtlxujwtivshurgtqftpdsocrmbqlapk`oj_oiYnhXmgW\ lfVkdUjcTjbRiaQh`Pg_OfZNfYMgXKgVJgUHhTGhREhQDiPBiN\ AiM8jK7jJ5jI4kG2kF1kE0gH1dJ1aM2ZO2WR3TT3QY4Na4Kf5U\ o5cs2mz5mz8mzBhtEcrHZqKUoNPnQLmTMkWNjZOiaPidQhgRhj\ SgmTgpShsTgrTfrTfqTeqUepUbpU_pUZoUUoVTnVTnVSnVSmVR\ mWRnWQoWQpWPqWPsXOuXOwXNxXNzXMzYMzYLzYLzYKzYKzVOzS\ SzQWzN_zLczPgzUkzZozcszhvzmuzmwzmvzmvzmuzmuzmtzmtz\ mszmszmrzmrzmrzmqzmqzmpzmpzmozmozmnzmnzmmzmmzmmzml\ zmlzmkzmkzmjzmjzmizmizmiz } frm:SliceJulibrot2 {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 31-01-05 (The Beast Itself [6])
by Jim Muth 31 Jan '05

31 Jan '05

FOTD -- January 31, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's FOTD is an image of a beast -- a fractal beast no less. The beast is a midget located in a spiral on the southern shore of the period-4 bud on the northeast shore of the main bay of the Mandelbrot set. It is a rather handsome midget, with well- defined spiral arms that are twisted to just the right degree, and many sub-spirals to add fractal excitement. The spirals resemble both elephant trunks and seahorse tails -- kind of a blending of the two. One would never imagine that an elephant and a seahorse would make a couple that could produce hybrid offspring, but in today's image they apparently have. I consider the midget a beast because it is an impostor. It is not the animal it first appears to be. Look carefully at the parameters and you will see that the value of Z has been initial- ized to the same value as C, and not to zero, as would be the case when calculating the true M-set. Also notice that the orientation of the slice has been double-rotated half way from the Mandelbrot direction toward the Julia direction. We are looking at a scene in what I call the shadow set -- a second Mandelbrot set with dimensions sqrt(2) times those of the true set. Since today's midget is actually a beastly impostor, there can be nothing wrong with distorting it. And why not? After all, the image is a slice of the Julibrot, which is a 4-dimensional thing that can be sliced in more directions than can be imag- ined, and some of these slices do quite unexpected things to the beastly midget. But we will leave the distortions and variations to the next few FOTD's. Today's image shows the beast as its undistorted self. I have therefore named the image "The Beast Itself". I took some extra time with the coloring, but such scenes have been pictured so many times that they have become hackneyed. As a result, I could rate the image no higher than a 6, which is still a little above average. How high, or low, the coming variations of today's scene will rate has yet to be determined. The render time of under three minutes is true on my fractal- dedicated machine, which is almost ten years old. The image will likely finish in under one minute on most present-day units. But some present-day units don't know what they are missing, and will choke on the VESA video modes used by Frac- tint. For the convenience of those with such handicapped units, the finished GIF image has been posted to the FOTD web site, from where it may be downloaded in a video mode all computers can display. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Light snow continued into the early afternoon here at Fractal Central on Sunday, keeping the fractal cats confined to the porch. But fractal cats are known for their stoicism, and the duo took their confinement without complaint. Today is starting sunny and chilly, with a warming trend forecast for this after- noon. The cats should be happy. I have a moderate amount of work before me, which will bring happiness my way when it is behind me. Until next FOTD, when the true or false, take your choice, philosophy will resume, take care, and be wholly fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Beast_Itself { ; time=0:02:49.71--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot2 center-mag=0/0/719412.8\ /1/90/-1.23373533611470521e-014 params=45/0/45/0/\ 0.288136932805/0.482645405409/0.288136932805/0.482\ 645405409 float=y maxiter=5000 inside=0 logmap=288 periodicity=10 colors=000SYsSXrSWqSVpSUoSTnSSmSQlTOkUMjVKiWIhXGgY\ Ef_CeaAdcAceAbgAaiA`kC_mEZoGYqIXrKWsMTrOSqQRpSQpUP\ oWOnXNnYMmZLl_KlaJkcIjeHjgHkhGkgFlfEldDmbCm`BnZAnX\ 9kV8hT8eR8bP7_N7XL7UJ6RH6OF6LD5IB5FC5CC49D46D43D45\ E57F59G6AH6CI6EJ7FK7HL8JM8KN8MO9OP9QQARRATSAVTBWUB\ YVC_WC`XCaYEbZGbZHc_Jd`Kd`MeaNebPfbQgcSgdThdVheWif\ YjgZjh`kiakjclkdmlfmlgmmimminmjomjpmjqnjrojtpjuqjv\ rjwsjxtlxujwtivshurgtqftpdsocrmbqlapk`oj_oiYnhXmgW\ lfVkdUjcTjbRiaQh`Pg_OfZNfYMgXKgVJgUHhTGhREhQDiPBiN\ AiM8jK7jJ5jI4kG2kF1kE0gH1dJ1aM2ZO2WR3TT3QY4Na4Kf5U\ o5cs2mz5mz8mzBhtEcrHZqKUoNPnQLmTMkWNjZOiaPidQhgRhj\ SgmTgpShsTgrTfrTfqTeqUepUbpU_pUZoUUoVTnVTnVSnVSmVR\ mWRnWQoWQpWPqWPsXOuXOwXNxXNzXMzYMzYLzYLzYKzYKzVOzS\ SzQWzN_zLczPgzUkzZozcszhvzmuzmwzmvzmvzmuzmuzmtzmtz\ mszmszmrzmrzmrzmqzmqzmpzmpzmozmozmnzmnzmmzmmzmmzml\ zmlzmkzmkzmjzmjzmizmizmiz } frm:SliceJulibrot2 {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 30-01-05 (The Sin of Eve [5])
by Jim Muth 30 Jan '05

30 Jan '05

FOTD -- January 30, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's image is a scene in the four-dimensional Julibrot created by the formula (Z^1.1)*(C^-0.1)+C. It is neither a Mandelbrot set nor a Julia set. It is a slice through the Julibrot in what I call the Oblate direction, which is the plane determined by the imag(c) and real(z) axes. Don't let the name "The Sin of Eve" lead you to believe that the image is in any way . . . um . . . dirty. I gave it this name because one of the early color palettes that I tried reminded me of an apple with a bite removed. The coloring I finally chose produces an effect more of a splash than an apple. The rating of a 5 is about right for such an average image. The render time of a very brief 1/2 minute means that little time will be required to see the fractal splash appear onscreen. The completed GIF image is available for download on the FOTD web site faithfully maintained by Paul Lee at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Partly cloudy skies and a temperature of only 34F 2C kept the fractal cats' time in the yard limited to less than 1/2 hour on Saturday. The duo remained in a surprisingly good mood however, and were satisfied with only the usual amount of tuna for their evening treat. Today is starting with 2inches 5cm of new snow on the ground, with light snow still falling. It looks to be a poor day ahead for the duo. For me, the main task will be clearing away the ice. I'll start the job in an hour or so. The next in the unending series of FOTD's will appear right here in only 24 hours, plus or minus a few hours. If I feel extra energetic, I might include some new and thought-provoking philosophy in the philo-fractal version. Until then, take care, and sleep secure within the great cosmic fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Sin_of_Eve { ; time=0:00:34.49--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multXYZWcompjb-min function=ident/flip center-mag=0.844885/1.42109e-014/0.05969098/1/-90/\ 3.885780586188e-016 params=0/90/1.1/0/0.9/0/0/0/0/0 float=y maxiter=1200 inside=0 periodicity=10 colors=0000051032513A04F16H29K2BM3EP4GR4JU5LW5OZ6R\ `7Uc7We8Zg8`h7bi7cj7ek6fl6hm6in5ko5lp5mq4nr4os4pt3\ qu3rv3su5tu7uu8vtAwtBxtDysFzsGzsIzsJDnsGipJdnM`kOW\ iRRgUNdXIbZE`YGaXHbWJcVKcVMdUNeTPeSQfRSgRTgKbZDkQ6\ tI8rIAqICoIDmIFkIHjIJhILfINdIOcILaNI_SGZWDX`BWdCUe\ CSeCQeCOeDMeDKeDIfDGfEEfECfEAfE8fE6fG9hHCiIFkJIlLL\ mMOoNRpOTqPUnPUlPUjPUhPUfPUdPUbPU`PUZPUXPUVPUTPURP\ UPPUNNVOLVPJVQHVQFVRDVSBVS9VT7VU5VU7TP8RLAPGBNCCL8\ HQGMVOR_WWdc_ij6LcDN_KPXQQUXSRbTOiVLoWIjYOfZTQGdOJ\ fNMgMOhKRiJTjIWkGYlF`nEboCepBgqAjr8ls7ot6qu9orCmoF\ klIjiLhgOfdQeaTcZWaWZ_UaZRdXOgVLiUJeTKbTKZSKWSKSSK\ PRKLRKIRKPVJVZJ`bIfeIliHrmHxpHpfBhY6iWDjVJkTPlSVlR\ `kPZkOYkNXkMWkLVjKTjJSjIRjHQjGPjFOhEMfDLdCJcBIaAG_\ 9FZ9DX8CV7AT69S57Q46O34N33P54R65T75U86W96YA7_B7`C8\ bD8dE9fF9gGAiHAkIBlJBbZZUmvWjrXhoZel_ciaafbZcdX`eU\ YgSVhQSjNPkLMlJJkLHkMGkNF } frm:multXYZWcompjb-min {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p4, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p5: z=(-z)^(p2)*(c^(p3-1))+c, |z| < 400 } END PARAMETER FILE=========================================

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FOTD 29-01-05 (Copper Terraces [4])
by Jim Muth 29 Jan '05

29 Jan '05

FOTD -- January 29, 2005 (Rating 4) Fractal visionaries and enthusiasts: With today's image we return to that old warhorse, the overused MandelbrotMix4 formula. But the return is not a noble one, for we have again fallen below fractal average. Try as I might, I could rate today's "Copper Terraces" image, with its muddy terraces, no higher than a 4. The formula that wreaked this minor havoc combines portions of Z^(-1.2) and Z^(2.1) before adding C. I tried to add a little interest by rendering the scene with the inside set to 'bof60' and the outside set to 'fmod', but the improvement was minor. In the end I decided to be stoic and post an image that was not up to FOTD standards. After all, this is hardly the first time a deficient FOTD image has been posted. Thankfully, the image renders in under 6 minutes on my machine, which must be a decade old. In the computer world, this is about as state-of-the-art as a cave-man. On a modern unit, the image will render in a minute or so. And if even one minute is too slow, the completed image can be downloaded from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A bit of philosophical rambling is included in the philofractal version of today's message. The sun was bright, but the cold temperature of 23F -5C and the solidly frozen snow pack kept the cats confined to the porch all day Friday here at Fractal Central. When evemnong came, they demanded extra tuna. Today is starting with hazy sun, cold temperatures, and snow again in the forecast. I suspect the duo will not enjoy the outside conditions. I have a little work to finish and a lot of fractal exploration to do. Until next time, take care, and don't fear the dark. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Copper_Terraces { ; time=0:05:46.15--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.84253097446520620/-0.105017701083716\ 60/3.373927e+007/1/87.5/6.71509495994704331e-008 params=-0.25/-1.2/0.5/2.1/0/0 float=y maxiter=1200 inside=bof60 proximity=1 outside=fmod periodicity=10 colors=000KyfVDlUGlTJkSMkRQjQTjOWiNZiMbhLehKhgJkgH\ offCvHofGpfFqgErgDsgCthCthBuiAvi9wi8xj7yj6yk7yk9yk\ BxkDwkFvlHvlJulLtlNslPrmUpmZmmcjlhhlmekrbks_jp`gq_\ frZdsXesWbsUYsTWtRTtPRtOPuMMuLKuJHuIFvGDvFAvD8wB5u\ E8tF9sG9rHAqIAoJBnKBmLClMCkNDiODhPEgQEfRFeSFcTGbUG\ aVH`WH_XIYZJXfOWnUrsFrtEquDrqItlOvhUxc_zZeub_q`ZnZ\ YjYXgWWcUV`TUXRTUPTQOSNMRJKQGJPCHO9FN5DM9HN9JN8LN8\ NM8PM7RM7TM7VL6XL6_L5aL5cK5eK4gK4iK4kJ3mJ3oJ2rI2rI\ 2qI0qH2pH2pG2oG2nF3nF3mE3mE3lD3kD3kD3jC4jC4iB4hB4h\ A4gA4g94f95e87a89Y7EYDKYJQXQWXWaXagWheXhcYgaZf_`eY\ aeWbdUdcSebQfbOgaMi`Kj_Ik_GmZEnYCoXAqWBoXCmYDj_Eh`\ GebHccI`eJZfKXgMUiNSjOPlPNmRKoRKnRKmRKlRKjRKiRJhRJ\ fRJeRJdRJcRJaSI`SI_SHYSHXSGWSGVSETSESSDRRDPQCOPCNO\ BLNBLMBKLBJKBIKAIKBHLCGMDFNEEOFFPGFQHFRIFSJFTKFULF\ VMFWNFXOFYPGZQI_RK`SMaUObWQcYSd_UeaWfcYge_hgaiicjk\ ekmgloimqjnrjosjptjqujrvj } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Fwd. -- Fractal Calendar
by Jim Muth 28 Jan '05

28 Jan '05

This is an open call for you to submit your fractal artwork for consideration for inclusion in the Fractal Universe ® Calendar 2007. All the information you will need is detailed on the following website: http://www.fractalforum.com Please make your submissions and any additional enquires you may have via the contact form on the above website. This message has been posted to some of the fractal art mailing lists and forums. If you think it may be of interest to others please feel free to forward it, as it is written here, to other 'net sites where fractal artists meet to share and discuss fractals. Thanks and good luck! Linda Allison and Panny Brawley

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FOTD 28-01-05 (Snail on Mushroom [6])
by Jim Muth 28 Jan '05

28 Jan '05

FOTD -- January 28, 2005 (Rating 6) Fractal visionaries and enthusiasts: There are everyday snails and there are snails of the Wonderland variety, which, along with the caterpillars, sit on mushrooms, smoking water pipes and blowing smoke letters into the air. Today's image shows a highly decorated snail of the latter variety, at a time when he is not smoking his pipe. The curious little critter was created by the same formula that gave us the orb that appeared in yesterday's FOTD. But in today's version we slightly shift the direction of the slice +3 and -3 degrees from the Julia aspect. This small rotation opens the figure and reveals considerable 'inside' area. The 'fmod' fill, with the proximity set to 1, adds the chaotic detail to the 'inside' areas. The final step in the creation of the snail was to stretch the image in the vertical direction. When this was done, the little fellow came to life for all the world to see, sitting on his abstract mushroom, wondering what happened to his pipe. Snails are not my favorite animals. They make quite boring pets, and they don't taste good either, so a rating of 6 was the best I could do with the image. But the rendering takes less than a minute, so it is worth the little bit of effort required to see the snail on his mushroom. The name "Snail on Mushroom" is the only name that could have been given to an image like today's. For the convenience of those who dislike rendering snails, the image is available in all the glory it can muster on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The next round of enlightening philosophy is a few days off. But be patient. The best (or craziest) part is yet to come. It was colder than a w-----'s t-t here at Fractal Central on Thursday. The wind was up and the temperature never rose above 21F -6C, but the sun was strong, and just enough sunlight struck the porch to make conditions bearable for the cats, who spent a full 45 minutes chasing the moving sunbeams that filtered through the upper branches of the holly trees. When the sunbeams were gone, the duo came inside without the need to be called, to enjoy their treat of tuna. Today is starting even colder. Luckily, the sun is once again strong. The cats should have another acceptable day. My other work is light, which means more time for fractals and more time to prepare the next eagerly awaited outburst of philosophy. Until we meet again in 24 hours, take care, and I still have not decided whether fractals truly exist or whether they are inventions of the human mind. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Snail_on_Mushroom { ; time=0:00:38.89--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=mult-xy-zw-compjb function=ident/flip center-mag=-0.789184/1.12102/0.7198814/0.8175/2.04\ 299432563946048/1.01592002781501933 params=87/93/1.4142/0/1.4142/0/0/0/-0.542983266/0.\ 017693381 float=y maxiter=5000 inside=fmod proximity=1 periodicity=10 colors=000O8UQCWSGYUK_WOaYSc_Wea_gcciegkgkmiooksqm\ wspzutzzzzzLVPBLE1B36E4BH4GK5KN5PP5US6YV6bY7g_7kb7\ pe8uh8yj8tf7pc7k_6gX6cU5ZQ5VN4RK4SL8SLCTLGTMKTMOUM\ SUNWVN_VNcVNg`UYf`PlgGqm7lk9hjAdhB`gDXfETdFOcHKaIG\ `JC_L8YM4XN0WO6OYBHgGAqK9nO9kR9hV9eZ9ba9_e9Xh9Vc8V\ _8VW7VS7VO6VK6VI9WHBWGDWEFXDIXCKXAMY9OY8QYBPXEPWGP\ VJPULPTOOSQORTORVOQYOP_NObNNdNMgNLiNLjLOkJRmHUnGXo\ E_qCbrAes9hu7kv5nw3qx2sq7mkCheHc_MZBdETRTNWOH`JSmS\ PkQNjOLiMJhLHgJFfHDeF3PX4QW4RV5SU5ST5TS6US6UR6VQ7W\ P7WO7XN8YN8ZM8ZL9_K9`J9`IAaIAbHAbGBcFBdEYGtXHsWIrW\ IqVJpVJoUKnULmTLlTMkSMjSNiRNhROgQPfPPePQdOQcORbNSa\ NS`MT_MTZLUYLUXKVWKWVJWUJXTIXSHYRHZQGZPG_OF_NF`ME`\ LEaKDbJDbICcHCcGBdFZBAYCBXDBXEBWEBWFBVGBVGBUHBTIBT\ IBSJCSKCRLCRLCQMCQNCPNCOOCOPCNPCNQCMRDMSDLSDLTDKUD\ JUDJVDIWDIWDHXDHYDGZEGZEF_EE`EE`EDaEDbECbECcEBdEc7\ NYELSLJMSHGZF3k94jAUdURaS } frm:mult-XY-ZW-compjb {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p4, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p5: z=z^p2*(c^(p3-1))+c, |z| < 400 } END PARAMETER FILE=========================================

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FOTD 27-01-05 (Orb [7])
by Jim Muth 27 Jan '05

27 Jan '05

FOTD -- January 27, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's image is a Julia set of the fractal that results when both Z and C are raised to the power 1.4142 and multiplied together, and then C is added. It consists of gaudily colored but broken concentric circles with an interesting area of chaos toward the center. Most of the effect was achieved by calculating the formula with the outside set to 'tdis'. The chaotic parts of the image are filled with curious but hard-to-find Julia basins, one of which appeared two days ago as the 'Hairy Caterpillar' FOTD for January 25. I gave the image the name "Orb". The name was inspired by the nature of the image itself, which basically consists of nothing but circles. After a modicum of consideration, I rated it at a not-bad 7. The colors are a bit too brilliant, but still striking. The 'passes=b' option is fastest with this image, rendering the entire scene in only 11 seconds. This option often is the fastest, but it must be used with caution because it can easily miss important isolated features. The render time of under 11 seconds is true only when the image is rendered with the passes set to 'b'. I have discontinued the overall worth rating, which was weighted too heavily in favor of the render time. No one paid much attention to it anyway. The only important thing is the appear- ance of the completed image, which is covered in the rating that appears in the subject line of every FOTD. The image is a very fast one. By the time this letter is read, it should already be posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The continuation of the philosophy that we have been waiting for appears in the philofractal version of today's FOTD discussion. The sky was mostly cloudy, but the temperature reached a high of 47F 8C here at Fractal Central on Wednesday. Only the wet sloppy snow kept the fractal cats on the porch. Today is starting sunny but much colder. The temperature is down to 10F -12C, and the snow has frozen rock hard. I wonder what the dynamic duo will make of it. My only problem is where to find the next FOTD. The search will begin in a few hours. Until that next FOTD appears, take care, and be serene as a fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Orb { ; time=0:00:10.82--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=mult-xy-zw-compjb function=ident/flip center-mag=-0.00542788/-0.101983/0.1702254/1/40/\ -3.21104948186601e-011 params=90/90/1.4142/0/1.4\ 142/0/0/0/-0.542983266/0.017693381 passes=b float=y maxiter=5000 inside=255 outside=tdis periodicity=10 colors=000sCzqEzoGzmIzkKziMzfOycRx`UwYXvU_xRbwNdvK\ epLdnMbjM_fNXbNVZOSWOQSPNOPLKQIGSGDWFBaE9gF7kC5jH8\ hMAfRDdVFbYHeZFhZEkZDnZCqZBsZAUVG4RL8VKBYJF`IIcHMf\ GPiFQkHQlJRmLRnNSoPSpRSrTTsVTtXUuZUv`UwbSscQodOkeM\ gfKcgI_gGWhESiCOjAKk8Gk7Fj7Fi7Fh6Fg6Ff6Ee5Ed5Ed5Ec\ 4Eb4Da4D`3D_3DZ3DY3DY9EWFFVLGURHSXHRbIQhJOnKNtKMsL\ OsLQsLSsLUsLWlRXeWYZ`YSeZLjZEo_7t_CrYHqWMpUQoSVnQ_\ mOclMhkKmjIqiHbaoeaqhaskau6Oi7Oo7OuCQtHStMTsQVsVXs\ _Yrd_rh`rbdmXhiRkdLo`FsW9vSLoZXieifogcleajc_gaYe_V\ bYT`WRYUPWSNTQKROIOMGMKEJG9IICHKFHMIGNLGPOFRRFTUEU\ XEW_DYbD_eC`hCbkBdnBfqALHRgsAdeCaTEWDFZGGaIHdLIgNJ\ jQKxNMlSL`WKQ`KEdJ3hJ8eKDcLHaLMZMQXMVVNeZTZTNTNHMH\ BGB5A50D72F83H94KA5MB6OC8RD9TEAVFBXGC_HIbHOeHUhH_k\ HenHkw8xpHpjQhcY`YfTSnMXhS`bXeXaiSgnMlrGqz7yvBvrEs\ nIpjLmfPjlOrcSgVVYMYOIOCE`EE`EEaEDaEDbEDbECcECcECd\ EBdEBeFBeFKKkKNiKQfKTdKWb } frm:mult-XY-ZW-compjb {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p4, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p5: z=z^p2*(c^(p3-1))+c, |z| < 400 } END PARAMETER FILE=========================================

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FOTD 26-01-05 (A Nothing Set [7])
by Jim Muth 26 Jan '05

26 Jan '05

FOTD -- January 26, 2005 (Rating 7) Fractal visionaries and enthusiasts: I wrote another quick new formula since yesterday's FOTD, and gave it the impressive name 'multXYZWcompjb-min'. The only difference from yesterday's formula is that today's calculates (-Z) instead of (Z). The difference in the formula is small, but the change in the appearance of the fractals with fractional exponents of Z is great. Today's fractal shows a scene in the four-dimensional Julibrot of the formula (-Z)^1.4142*C^0.03+C. The orientation of the slice is very close to the Julia direction. But being close does not make today's image a Julia set, so I have named it "A Nothing Set". The true Julia set may be seen by changing the value of (p1) from 81,90.2 to 90,90. The Mandelbrot aspect of the scene appears when (p1) is set at 0,0. The point that corresponds to today's image lies in the disconnected triangle in the M-set. The other values of (p1) draw various oblique slices through the Julibrot, some of which are quite interesting, while others have little to offer. The image relies mostly on intense coloring for its effect. As a result I limited its rating to a 7. But the render time is a fast 2-3/4 minutes, which boosts the overall worth to 257. And don't forget the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the completed GIF image has or soon will be posted for the convenience of those who would prefer to leave the rendering to someone else. The clouds hung tough most all day on Tuesday here at Fractal Central, but the temperature rose to 36F 2C, which was comfort- able enough for the fractal cats. Unfortunately, the warmer temperatures started melting the snow, which then wet the paws of the duo, sending them scurrying back to the porch, where they sat for nearly an hour watching the birds fly by. The evening treat of tuna was a bit larger than average. Today is starting warmer with lots of clouds. But with so much snow still on the ground, it looks doubtful that the duo will have a good day. Since the work is still caught up, my day will be good. And when 24 hours have passed, the next FOTD will appear in all its glory and wisdom. Until then, take care, and be awe-struck in the presence of a fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Nothing_Set { ; time=0:02:43.52--SF6 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multXYZWcompjb-min function=ident/flip passes=1 center-mag=-0.306729/0/1.253133 params=81/90.2/1.4142/0/1.03/0/0/0/-0.76/0 float=y maxiter=2000 inside=0 symmetry=xaxis logmap=yes periodicity=10 colors=0004AA6AA8AAAAACAAEAAGAAIGLKKPMNTPQXST`VWdY\ Zh`alcdqfgtiixikyikzhkzgkzflzelzdlzclzbly`mx_nwZov\ YpuXqtWrsVsrUtqTtpStoRtnQtmTrlVpkXnlZkm`hnbeodbmf`\ khYijVglSelPcjMagJ_dGYaDWZAUW7SS5QP4OM4MO3KQ2ISCGU\ EFVGGWIHXJIYKJZKK_KK`KKaKKbKKcKKdKKdKKdKKdKHdKEdKA\ cK7bK4aK6`K7_K8ZIAYGBXFCWDEVBFUAGT8IS6JR5KP3MN1NK0\ OKh8ervdsodthdzaccXcYScMNcAJcFNcJQcNTcRWcVZcZacbda\ fgZjjWnmTrpQvsOupNtnMskLriKqfJpdIpaHo_GnXFmVElSDkP\ CkMPhKKeKFaK0ZH3WI6TH9VGCXGFZGI`FLbFOdERfETgEUcDV_\ DWWDWSDXODYKDYGDVJKTLRROYPQdTPgWOi_NkbMmeLoiKqlJso\ IujGmfEfaC_YBT`AWb9Ye8_g7ai6cl5en4gq3is2ku1ml4fc7`\ VAVMDPQCRTCTWBVZBWaAYdA_gA`hGXhLUiQQiVNj_JjdGkiCkn\ 9elF`jLWhRRfWMdaHbgCalHZjLXhQVfUTdYRbbPafN_jLYoJWs\ HUwFTsHSpISmKSiLSfNScOS`PS_UO_YL_aH_eE_jB_n7_r4_v1\ buBetLgtVjsdmrnorxnmumhrlhpkkmknkmqcotXqwPszIuzBqz\ LSzbUzfXziZzl`zoTznLzmDzm } frm:multXYZWcompjb-min {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p4, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p5: z=(-z)^(p2)*(c^(p3-1))+c, |z| < 400 } END PARAMETER FILE=========================================

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FOTD 25-01-05 (Hairy Caterpillar [8])
by Jim Muth 25 Jan '05

25 Jan '05

FOTD -- January 25, 2005 (Rating 8) Fractal visionaries and enthusiasts: It is rare that a hairy caterpillar comes squirming out of the fractal computer (unless it is an Apple, that is), but this is exactly what happened last evening, and today's image is the evidence. The object in today's image is a Julia basin in one of the Z^1.4142 sets. It looks so much like a big fat squishy caterpillar that I could not resist the urge to name it "Hairy Caterpillar". The image was created by the new 'mult-XY-ZW-compjb' formula that I recently wrote. The same scene could have been found with a simpler formula, but I prefer today's formula, which can switch between the Mandelbrot and Julia, as well as the other aspects of a scene, with little difficulty. The rating of an 8 does not imply that I enjoy hairy caterpil- lars. Actually, I am neutral about them, and it is hardly the time of year when caterpillars are out and about in this part of the world anyway. I gave the image such a high rating because of the extraordinary definition of the basin at the center, with its odd set of holes. When the rating is combined with the render time of 19 minutes, the overall worth registers a 42. Somehow, the image seems better than that. In fact, I'm less than satisfied with this whole overall worth thing. I think I'll stop rating the FOTD images for overall worth, or start figuring the rating in a different manner. The present method gives far too much impor- tance to the render time. And the overall worth rating really is pretty useless. The render time becomes just a curiosity when the completed GIF image is downloaded from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The Morning sun on Monday turned to clouds by 1:00pm and snow by 4:00pm. Only about 1/2 inch (1cm) fell, but it proved to the cats that a trip outdoors was out of the question. Their excite- ment was limited to watching the snow from their shelf by the window. The boredom was eased by a treat of tuna mixed with bits of cheddar cheese. Today is starting milder, but it is still below freezing and the sky is cloudy. Let us hope for better things for the fractal duo. For me, only a little commercial work waits to be accomplished, and then it's back to the fractals. Until 24 hours have passed, take care, and a fractal a day is better than tuna at keeping boredom away. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Hairy_Caterpillar { ; time=0:19:07.28--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=mult-XY-ZW-compjb function=ident/flip passes=1 center-mag=+0.77150925485208020/-0.441181\ 37588527820/1770.401/1/55/1.95960608850853646e-012 params=90/90/1.4142/0/1.4142/0/0/0/-0.542983266/0.\ 017693381 float=y maxiter=5000 inside=0 logmap=200 symmetry=none periodicity=10 colors=000IF8KI9KK9KK9KF9KE9KG9KK9KH8KH9KK9KK9KK9K\ G9KK9KH9KJ9KI9KJ9KPAKKAKMAKKAKKAKKAKKAKMAKKAKKAKOA\ KPBKPBKQBKMBKNBKNBKOBKOBKPBKSBKQBKRCKRCKRCKRCKSCKS\ CJTCJTCJUCIUCITCIVDIWDHWDHXDHXDGYDGYDGZDFZDFZDF_DE\ _EE`EE`EEaEDaEDbEDbECcECcECdEBdEBeFBeFAfFAfFAfF9gF\ 9gF9hF9hF8iF8iF8jG7jG7kG7kG6lG6lG6mG5mG5nG5nG6mE5n\ F5nG5nG5nH5nH5nI5oI5oJ5oJ5oK5oK5oL5oL5pM4pM4pN4pN4\ pO4pP4pP4qQ4qQ4qR4qR4qS4qS4qT4rT4rU3rU3rV3rV3rW3rW\ 3sX3sY3sY3sZ3sZ3s_3s_3t`3t`3ta2ta2tb2tb2uc2uc2ud2u\ d2ue2ue2uf2vg2vg2vh2vh2vi1vj1vk1wk1wl1wm1wn1wn1wo1\ wp1xq1xq1xr1xt1xt1xu0xu0yw0yw0yx0yx0yy0yy0yz0zz0zz\ 0zz0zz0zz0zz0zz5mtAamFQhKAcLCZMEUOGPPHQQJQSLQTNQUO\ RWQRXSRXTRYVRYXRYZRZ_SZaSZcS_eS`fSahSbjSckRdkSgkSj\ kSmkSokSqkSskSukSwjSzjSzjSzjSzjSzjSzjSzjSzjSziSziS\ ziSziSziSziSziTziTziTzhTzhTzhTzhTzhTzhTzhTzhTzhTzg\ TzgTzgTzgTzgTzgTzgTzP8zO8 } frm:mult-XY-ZW-compjb {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p4, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p5: z=z^p2*(c^(p3-1))+c, |z| < 400 } END PARAMETER FILE=========================================

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FOTD 24-01-05 (Complex Diversion [5])
by Jim Muth 25 Jan '05

25 Jan '05

FOTD -- January 24, 2005 (Rating 5) Fractal visionaries and enthusiasts: Over the long weekend I began wondering what some of the 'cmplxmarksmand' type fractals look like in the odd planes of the Julibrot. A few minor changes to one of my Julibrot formulas enabled me to investigate the mystery. I named the new formula 'mult-XY-ZW-compjb' and included it in my 'allinone' file of most active formulas. At the present time, I have done almost no exploring with the new formula, so I cannot comment on what it might hold, but I did find one rather interesting, if not great, image in my first trial run that appeared good enough to be an average-rated FOTD. The parent Julibrot is that of the Z^100+C fractal, which has been reduced to one lobe. The angle at which it is sliced is 30 degrees from the Julia orientation. Quite a bit of stretching was needed to bring the image to a roughly circular shape. The outer circular ring is the Julia part of the overall Julibrot fractal. The Mandelbrot part has been stretched in one direction to infinity, and appears as the horizontal bands filling the circle. I named the image "Complex Diversion". There is nothing outstanding about the image; it simply exists to be looked at as a diversion. Since everything about it is average, the rating of a 5 seems proper. The superman-like render speed of under 6 seconds gives the image an unrealistic overall worth of 5574. The image is not really worth this rating. I must do something to avoid such artificially high overall worths. As has been the case almost from the day the FOTD first appeared, the finished image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> I'll do some further exploring in this new formula later today. I am sure it has better things in it than the image that passed for today's FOTD. Arctic cold and roaring winds kept the dynamic duo ensconced safely indoors all day Sunday. The high temperature on the almost-accurate fractal thermometer reached only 18F -8C, while the wind gusted to near 50mph 80kph, blowing the powdery snow around in great clouds. The duo watched all this from their window shelf, thankful that they were inside. In the evening I put extra tuna in their dish to reward them for their patience. Today is starting sunny and just as cold, but the wind has died down, which makes it feel far less harsh. The cats might sneak an hour or two on the porch. For me it's time to finish the job of clearing away the drifted snow. If I accomplish that, I will be home free. The commer- cial work is caught up. The next FOTD will appear in 24 hours. The enlightening philosophy might be included, or it might not. Until then, take care, and if this is the age of enlightenment, why are we so ignorant of so many important things? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Complex_Diversion { ; time=0:00:05.38--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=mult-XY-ZW-compjb function=ident/flip passes=g center-mag=0.000367865/3.88578e-014/1.229\ 082/1.3647 params=60/90/100/0/-99/0/0/0/-0.50878/0 float=y maxiter=10000 inside=253 symmetry=xaxis logmap=yes periodicity=10 colors=000K84SB5bU6ELUDYbBTUAYU8aU7eU0460350340230\ 1261C215I8GXERkKafNdbQfZTiUWkQZnMapIdrNbsSasW_s`Zs\ dYs_ZqV_oQ_mM`kHaiCag7be3bdWQZwDU0Nb4MT8LJCK9GJ08O\ Q1SnWGdy4V1l92mV2moZ6LRMWJafCppImjOkdUhZZfTdcNjaHp\ ZBuX6m_EeaMYdUQfaIiiAkq2myAhrdvFfwFixFkyFq_8wB2sF5\ oJ7kN9gRBcUD_YFWaHSeJPhLReSSbZT`dUYkVWqQPpMJoICnE6\ mA0m`G7bJ8Zvm`xmcqlejlhcljYkmRkoKkqEkoIjnMilPhkTgi\ Wfh_efcdefccjbbma`q`_t_YsaXscWreUrfTrhSqjQqlPpmOpo\ MpqLosKotInvHnxGnyIltKjpMhlOfhQddSb`U`XWZTYXP_VLaT\ HcRDeP9gN5hL10pX1lY1hZ2e_2a`3Z`3Va3Sb4Oc4Kd5Hd5De6\ Af66g63gTRQnm8jk7fi7cg6_e6Wd5Tb5P`4LZ4IX3EW3AU27S2\ 3Q10P1a4FZ3CW39T27Q24N22Q53eM9hOAjRBmUCpXDrZEuaFxd\ GzfHycKxaNw_QwXTvVWuTZuQatOdsMgsKjeMoTOsGQwBYb6eJA\ dcEcxF_tGXpHTlHQhIMdJJ`KFXKCTIEOGFKEHGCICAJ8FIAJIB\ NICRIDVIEZIFcHGgHHkHIoHJsHKwHLrFLnDLjCLeALa9LY7LT6\ LP4LL3LJ8IHCGGGEHwzOZfVU` } frm:mult-XY-ZW-compjb {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p4, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p5: z=z^p2*(c^(p3-1))+c, |z| < 400 } END PARAMETER FILE=========================================

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Re: [Fractint] FOTD 23-01-05 (Mysterious Triangle [9])
by Fr. Jim Lacasse 24 Jan '05

24 Jan '05

Yes, this is for sure a 9. Great fractal Fr. Jim >>> jamth(a)mindspring.com 01/23/05 06:59AM >>> FOTD -- January 23, 2005 (Rating 9) Fractal visionaries and enthusiasts: I am not sure that today's image truly rates the 9 that I have given it, but it is certainly one of the better FOTD's. The image, which shows the entire parent fractal, was created by the JimsCompMand formula. This formula can increase the number of arms in Mandel-type fractals, and it can also reduce the number of arms, as it has done in today's image, where the Z^(-1000) Mandeloid has had its arms reduced from 1001 to merely 3. This reduction in the number of arms brings out the delicate intricacy of the high-order fractals with negative exponents and large escape radii. The natural delicate effect was enhanced in today's image by the softly-glowing background, which was created with the 'bof60' inside fill and a bit of applied color theory. The black-to-orange shading of the foreground elements was achieved by setting the outside to 'fmod' and the proximity to a very high 1650. The effect of delicacy can be made stronger by increasing the escape radius beyond the 1100 that was used in the image. When this is done, the foreground elements gradually grow smaller. I assume they would eventually disappear entirely, though I have not taken the escape radius this far. Changing the inside and outside fills also creates interesting effects. The 'bof61' and 'atan' inside fills are particularly effective, as are several of the other outside options. I named the image "Mysterious Triangle", though there is really nothing very mysterious about it -- except that it is a fractal -- and we know how mysterious they are. The rating of a cosmic 9 and the brief render time of 1-1/2 minutes combine to create an image with an overall worth of 577. This is not the highest overall worth of all time, but those higher worths are somewhat artificial, having been achieved by render times of only a few seconds. As always, the finished image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy snow fell all afternoon Saturday here at Fractal Central, piling up to a depth of 6in 15cm. The temperature reached a high of only 16F -9C. The fractal cats took one brief smell of the outside air and decided that their adventure would be more comfortable on the window shelf. A treat of extra tuna in the evening insured their contentment. Today is starting cloudy. The snow has ended, but the temperature is 12F -11C, and the high winds are blowing the snow into drifts. The duo have already accepted that it will be another inside day. For me, the task is to clear the driveway and sidewalk, but before tackling that job I will wait for the drifting snow to settle down. The delay will give me a chance to find another fractal hopefully as good as today's. The next FOTD will appear in 24 hours. The vaguely fractal philosophy might or might not be included. Until then, take care, and see the light. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= MysteriousTriangle { ; time=0:01:33.60--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JimsCompMand passes=1 center-mag=1.64342/2.84649/0.08912656/1/30/-1.233\ 73533611470521e-014 params=-1000/0/999/0/1000/0 float=y maxiter=2500 inside=bof60 proximity=1650 outside=fmod logmap=yes periodicity=10 colors=0000AHAAHLAHTAHXAHaAHeAHhAHjAHlAHkAHoAIqDJs\ HKuKLpOMpRNpVOpYPp`PpcQpfRpjSpmTqqUrtVswWuyXwzXxzW\ yyVzsUzwUzvTzuSztSwsRtqQqqQnpPknOhmOhlNgjMfiMfgLef\ KeeK`iRWlXRocMsiHvpCyvEvqFtmGrhHodJm_KkWLhSMfNOdJP\ aEQ_ARY6QZBQZGQZLP_QP_VP__u6Ks5Jr5Iq5Hp5Hn5Gm5Fl5F\ k5Ei5Dh5Dg5Cf5Bd5Bc5Ab49a48_48Z47Y46X46V45U44T44S4\ 3Q42P42O41N40M40N54O67O7BP8EQ9HQALRBORBRVFPZJObNMf\ RLjVJnZIlXHkWHjUHiTHhRHgQHfOHeNGdLGcKGbJGaHG`GG_EG\ ZDFYBFXAFW8FV7FU5FT4FS3GU5IV7JW9KXBMYDNZFP_HR`JSaL\ TbNVcPWdRXeTZfV_gX`hZbi`djbfkdilfkmgmngoohpohrpitq\ iurjvrjwskwtkxtlyulyvlzvlzulytlxskwrkwqjvqjupitoit\ nhsmhrlgrlgqkfpjfoieohengdmgdmfcleckdbjcbjbaibaha`\ h``g__fZ_eYZeYZdXYcWYcVXbUXaTW`TW`SV_RVZQUYPTYOSXO\ RWNQWMPVLOUKNTJMSJLRIKQHJPGIOFHNEGMEFLDEKCDJBCIABH\ 9AG99F88E77D66C55B44A439328017206105004zR1yQ0xQ0wP\ 0vP0uP0tO0sO0rN0qN0pN0oM0 } frm:JimsCompMand {; Jim Muth z=c=pixel: z=z^p1*(c^(p2-1))+c, |z| <= p3+100 } END PARAMETER FILE========================================= _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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FOTD 23-01-05 (Mysterious Triangle [9])
by Jim Muth 23 Jan '05

23 Jan '05

FOTD -- January 23, 2005 (Rating 9) Fractal visionaries and enthusiasts: I am not sure that today's image truly rates the 9 that I have given it, but it is certainly one of the better FOTD's. The image, which shows the entire parent fractal, was created by the JimsCompMand formula. This formula can increase the number of arms in Mandel-type fractals, and it can also reduce the number of arms, as it has done in today's image, where the Z^(-1000) Mandeloid has had its arms reduced from 1001 to merely 3. This reduction in the number of arms brings out the delicate intricacy of the high-order fractals with negative exponents and large escape radii. The natural delicate effect was enhanced in today's image by the softly-glowing background, which was created with the 'bof60' inside fill and a bit of applied color theory. The black-to-orange shading of the foreground elements was achieved by setting the outside to 'fmod' and the proximity to a very high 1650. The effect of delicacy can be made stronger by increasing the escape radius beyond the 1100 that was used in the image. When this is done, the foreground elements gradually grow smaller. I assume they would eventually disappear entirely, though I have not taken the escape radius this far. Changing the inside and outside fills also creates interesting effects. The 'bof61' and 'atan' inside fills are particularly effective, as are several of the other outside options. I named the image "Mysterious Triangle", though there is really nothing very mysterious about it -- except that it is a fractal -- and we know how mysterious they are. The rating of a cosmic 9 and the brief render time of 1-1/2 minutes combine to create an image with an overall worth of 577. This is not the highest overall worth of all time, but those higher worths are somewhat artificial, having been achieved by render times of only a few seconds. As always, the finished image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy snow fell all afternoon Saturday here at Fractal Central, piling up to a depth of 6in 15cm. The temperature reached a high of only 16F -9C. The fractal cats took one brief smell of the outside air and decided that their adventure would be more comfortable on the window shelf. A treat of extra tuna in the evening insured their contentment. Today is starting cloudy. The snow has ended, but the temperature is 12F -11C, and the high winds are blowing the snow into drifts. The duo have already accepted that it will be another inside day. For me, the task is to clear the driveway and sidewalk, but before tackling that job I will wait for the drifting snow to settle down. The delay will give me a chance to find another fractal hopefully as good as today's. The next FOTD will appear in 24 hours. The vaguely fractal philosophy might or might not be included. Until then, take care, and see the light. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= MysteriousTriangle { ; time=0:01:33.60--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JimsCompMand passes=1 center-mag=1.64342/2.84649/0.08912656/1/30/-1.233\ 73533611470521e-014 params=-1000/0/999/0/1000/0 float=y maxiter=2500 inside=bof60 proximity=1650 outside=fmod logmap=yes periodicity=10 colors=0000AHAAHLAHTAHXAHaAHeAHhAHjAHlAHkAHoAIqDJs\ HKuKLpOMpRNpVOpYPp`PpcQpfRpjSpmTqqUrtVswWuyXwzXxzW\ yyVzsUzwUzvTzuSztSwsRtqQqqQnpPknOhmOhlNgjMfiMfgLef\ KeeK`iRWlXRocMsiHvpCyvEvqFtmGrhHodJm_KkWLhSMfNOdJP\ aEQ_ARY6QZBQZGQZLP_QP_VP__u6Ks5Jr5Iq5Hp5Hn5Gm5Fl5F\ k5Ei5Dh5Dg5Cf5Bd5Bc5Ab49a48_48Z47Y46X46V45U44T44S4\ 3Q42P42O41N40M40N54O67O7BP8EQ9HQALRBORBRVFPZJObNMf\ RLjVJnZIlXHkWHjUHiTHhRHgQHfOHeNGdLGcKGbJGaHG`GG_EG\ ZDFYBFXAFW8FV7FU5FT4FS3GU5IV7JW9KXBMYDNZFP_HR`JSaL\ TbNVcPWdRXeTZfV_gX`hZbi`djbfkdilfkmgmngoohpohrpitq\ iurjvrjwskwtkxtlyulyvlzvlzulytlxskwrkwqjvqjupitoit\ nhsmhrlgrlgqkfpjfoieohengdmgdmfcleckdbjcbjbaibaha`\ h``g__fZ_eYZeYZdXYcWYcVXbUXaTW`TW`SV_RVZQUYPTYOSXO\ RWNQWMPVLOUKNTJMSJLRIKQHJPGIOFHNEGMEFLDEKCDJBCIABH\ 9AG99F88E77D66C55B44A439328017206105004zR1yQ0xQ0wP\ 0vP0uP0tO0sO0rN0qN0pN0oM0 } frm:JimsCompMand {; Jim Muth z=c=pixel: z=z^p1*(c^(p2-1))+c, |z| <= p3+100 } END PARAMETER FILE=========================================

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FOTD 22-01-05 (Fractal Peach Pie [5])
by Jim Muth 22 Jan '05

22 Jan '05

FOTD -- January 22, 2005 (Rating 5) Fractal visionaries and enthusiasts: The JimsCompMand formula, which was used to draw today's image, is a new addition to my 'allinone' formula file, the file that holds all the formulas I use most often. The formula itself is nearly 10 years old, though during most of that time it just lay there unused. I have added it to my 'allinone' formula file at this time because I have been doing more fractal exploring with it recently. The formula is a generalization of the cmplxmarksmand formula of Fractint. I made the change to see what would happen when other powers of Z were given the same treatment. Today's image is part of the parent fractal that results when the exponent of Z is 1.4142 and the exponent of C is 0.4142. The fractal itself is a roughly circular bay, with considerable debris around the edges and a prominent valley jutting in on the west side. Today's scene is located in this western valley. Though the detail surrounding the midget in the image consists of the traditional equal-iteration bands, it is some of the most fractured I have yet come upon. I have no idea why the picture inspired the name "Fractal Peach Pie", but that is the name I gave it and that is the name it bears. The image is not really all that impressive, especially consid- ering the 22 minutes required to render it, which results in an overall worth of only 23. The effort of running the included parameter file may be avoided by downloading the finished GIF file from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The continuation of the philosophy will appear in the philo- fractal version of the FOTD within a day or two. Until then, don't grow impatient. Unlike foolishness, wisdom comes neither quickly nor easily. Bright sun prevailed all day Friday here at Fractal Central, but the temperature never rose above 21F -6C, and this was simply far too chilly for the delicate ears, paws and whiskers of the fractal cats. They passed the day on the shelf by the side window, watching the birds. Today is starting snowy, with a temperature of 12F -11C. The cats already know they will not be going out, and seem to have accepted their confinement. I plan on using the bad weather as an excuse to take it easy and prepare for the chore of getting rid of the snow, which will need to be done tomorrow. The next FOTD will appear in all its glory in 24 hours. Until then, take care, and step through life with enthusiasm. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Peach_Pie { ; time=0:21:58.60--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JimsCompMand passes=1 center-mag=-0.54218234203544090/+0.017174281788131\ 41/3.484017e+007/1/-87.5/6.94175655291395799e-008 params=1.4142/0/1.4142/0/0/0 float=y maxiter=50000 inside=0 periodicity=10 colors=000BXbAYaAYaAYa9Y`8Y`7Y`6Y`6Y`5Y`4Y`3Y`1Zb3\ Y`4X_6WZ7VY8UXAUVBTUDSTERSFQRHQPIPOJONLNMMMLOMJPLI\ QKHSJGTIFUIE3MUHZXXoWVkZUh`TecSbeRZgQWjPTl`WoOQnAM\ ozjnELmzjUHKkzKjzjiMKhOJgPJfzkLTJdUIcWIbYIaZI``H`a\ H_cHZeHYfGXhGWjGVkGUmFToFSpFRrFQtEPuEOwENxENcWCKm2\ Ml3Nl3Ol4Pl4Ql5Sl5Tl6Ul6Vl6Wl7Yl7Zl8_l8`l9al9ck9dk\ AelAfmBgnBjoClpCnpCppDrpDtpEupEvpFwpFxpFvnGtmGrmHo\ lHmiIkgIjfJhdJohKf`Kd_LcYLbXMaWM_VNkaNYTOXSOYUOjjO\ _XO`ZNa`NbbNcdNdeN`cOYbPVaQR_ROZSLYTHWUEVVBUW8TWCV\ ZFWaIXcMYfPZhS_kW`mZap`atabracpadnadlaejafhaffagdb\ hbbh`biZbjXbjVbkTblRqi6blPWRUPngHpVInUJlTJjSKhRLfQ\ LdPMbOM`NNZMOXLOVKPTJQRIQPHRNGPG6RMFTRNVXVXabZfjWd\ hUbgS`eQZdOXcMVaKT`IRZGPYENXCLVAJU9DY8IT8NP7SL7XH6\ aD5e66f97fB8fD9fFAfHBgJCRLDgNEgPFgRGgTHhVIhXJRZKh`\ LhbMhdNifOihPizQizRizSizRjzRjzRkzQkzQlzQlYSkWTjUVi\ SW`QYgOZfM`eKadJCWcCXbBXb } frm:JimsCompMand {; Jim Muth z=c=pixel: z=z^p1*(c^(p2-1))+c, |z| <= p3+100 } END PARAMETER FILE=========================================

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FOTD 21-01-05 (Hip-Hopping Figure [7])
by Jim Muth 21 Jan '05

21 Jan '05

FOTD -- January 21, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's image is an outzoom of the 'Golden Rectangle' image of January 18, which is a scene in a Julia set of the formula Z^(2.003)+C. I even went so far as to reuse the color palette from that image. The original rectangle is still intact, quite visible at the point where the arms branch off from the main figure. This fractal area and color palette also appeared in the 'Mainline Railroad' image of January 19, where we examined the Mandelbrot aspect of the scene. I named today's image "Hip-Hopping Figure". This does not imply that I enjoy the so-called 'music' which goes by that name. In fact I would never listen to it. The name was chosen because the central figure resembles a person caught up in a wild twisting dance. The image has a lively, joyous feeling to it, which earns a rating of 7. When the rating is adjusted for the render time of just under 2 minutes, the overall worth equals an impressive 377. All this rating stuff can be bypassed by downloading the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> I might devote the month of February to exploration of this particular area of the Z^(2.003)+C Julibrot. We'll see how it goes. A bit more of the promised philosophical pondering is included in the philofractal version of this FOTD. A cloudy cold (34F 1C) day on Thursday here at Fractal Central kept the fractal cats outdoor time limited to two brief trips to the holly thicket, where the birds were finishing off the last of the holly berries. Both times when I called them, they came without hesitation. Their evening was uneventful. This morning is starting bright and sunny but, at a temperature of 14F -10C, it is quite cold. It will not be the best of days for the dynamic duo. For me the work is about average, which means anywhere from three to eight hours, depending on how efficient I am. Then it's back to the world of fractals. Until next FOTD, take care, and be lively. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Hip-Hopping_Figure { ; time=0:01:51.34--SF5 on a P200 reset=2004 type=julzpower passes=1 center-mag=-0.0\ 00437451/0.0547483/9.28 params=-1.7435/0.00025/\ 2.003/0 float=y maxiter=500 bailout=9 inside=0 logmap=10 periodicity=10 colors=00088JA9HCAFEBDGCBID9KE7MF5OG2PJ3QM3RO4SR4T\ T4UW5XY5Z`6bb6de6gg7jj7ll8oo8rq8uuJuvUqvSouRmrPkpO\ inNilLjkKklIlmHmmGomEqmDsmCumCwm8zmCekGbdF_YEXRDPN\ DUKCYHBbEAfBAk89o58s38p49m59j59g69d7Aa7AZ8AW9AT9AQ\ ABNBBKBBHCBECBKDGPELUFQZGVcH_hIdmJirKmqIoqHpqFrqEs\ qCuqBvq9xq8yeDxUHxILx7Px7A1DPAJbIOpQNqSMrTLrVKsWKs\ YJtZIt_HuaGvbGvdFweEwgDxhDxiEwjFwjGwkHwkIvkJvlKvlL\ vlMvmNumOumPunQunQunNqlKnkHkjEhiBdh8ag5Zf3We5`Y7eR\ 9jJBoCDpDFpEGpFIqGJqGLqHMrIOrJPrKRsKSsLUsMVtNXtOTr\ TYtObuJgvEmx9lwAlwAlwAkvAkvAkvAjuAjuAjuAitAitAmw8i\ vAewCaxEZyGVzHRzJOzLKzNGzODzQ9zS5zU2zV6zT9zRCzPFzN\ IzLLzJMzDOzIQzMSzQTzVVzZXzbYzfWzdVzcUzaSz`RzZQzYPz\ WNzVMzTLzSJzOKzRLzTMzWNzYNz`OzbPzeQzgRzjUzmRzlPzlN\ zlKzkIzkIzpGzkEzfDzaBzX9zS8zN6zI4zD3z97zAAzADzAGzA\ JzAMzAQzATzAWzAZzAazAdzAbzDazG`zJZzMYzPXzSVzVUzYnz\ ClzCjzCsz4izC_zJQzQPzNPzL } END PARAMETER FILE=========================================

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FOTD 20-01-05 (Don't Square This [5])
by Jim Muth 20 Jan '05

20 Jan '05

FOTD -- January 20, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's image pictures a tiny midget in the Z^(sqrt2)+C Mandeloid, calculated one turn down the log spiral. This is my favorite of all the Mandeloids with exponents in the range between 1 and 2. I enjoy exploring it especially because its midgets are far easier to find than those of other Mandeloids in this range. Whether the midgets are worth the search is another question. With an exponent of 1.4142..., the midgets have 1.4142... elements surrounding them in the outermost ring. In the next ring closer to the midgets there are (1.4142)x(1.4142), or 2 elements surrounding the midgets. Though these elements are broken, they usually create an obvious 2-way symmetry around the midget, which, just as in the Mandelbrot set, makes the midgets easy to find far before they themselves become visible. In today's scene the 2-way symmetry is clearly visible around the borders of the frame. Closer to the midget, the brilliant yellow-orange element has approximately 5.657 spiral arms attached, a number that happens to be 1.4142^(5). (We seem to have skipped past the powers 3 and 4.) The parent fractal of today's image consists of a Mandel-shaped main bay with a distorted bud on its north side. The image itself is located in a valley of a sub-bud on the northern edge of the large bud. I used the 'imag' outside fill when rendering the image to add a bit of life. In a way it adds a bit too much life. I would have preferred to see a little more organization. I named the image "Don't Square This". I gave it this name because if the exponent is squared, the result is the familiar Mandelbrot set, which is a totally different story. Though the midgets in the Z^1.4142... fractal are fun to find, I have yet to stumble upon one that is truly outstanding, as many of the midgets in the M-set can be. Today's image does have brilliant colors, but like all scenes in the fractals with fractional exponents, it leaves me with a feeling that there once was a great image here, but it broke up before I reached it. As a result, I can rate the image no higher than a 5. When the render time of 34 minutes is figured in, the overall worth comes to a 14.5, pretty low on the overall-worth scale. Things such as render times, values, and overall worths can be ignored by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and downloading the finished GIF image from there. The enlightening philosophy about what we are and where we come from is still brewing, but it is not yet ready. Every time I check what I have written I find a few more things that seem to have not been clarified. I'll keep working on it until I get it right. Then the great revelation will appear on the philofractal list. Snow fell most all day Wednesday here at Fractal Central. By the time it ended 2-1/2in or 6cm of the white fluffy stuff had piled up. The temperature never rose above 23C -5F, making things far too unpleasant for the fractal cats, who took only one glance out the back door before deciding that the best way to pass the day would be to watch the snow fall from their shelf by the window. They seemed happy enough, and only the usual amount of tuna was needed in the evening. Today is starting cloudy and continued cold, with the ever-present threat of more snow. So far the cat duo seems happy enough, but the day is young and a lot can happen in 12 hours. For me, it's finish the work first and then move on to the fractals. Until the next FOTD appears in 24 hours, take care, and could fractals, which have no mass, escape from a black hole? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Dont_Square_This { ; time=0:34:19.32--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=+0.24938287158000390/+1.427995501755636\ /4.643115e+008/1/100/-1.81791574210832252e-007 params=1.414213562373/0/-1/0 float=y maxiter=4000 inside=0 outside=imag logmap=1036 periodicity=10 colors=0000rz0pz0nz0lz0jz0hz0dz0`z0Xs0Uh0P_1IO5CCA\ 51H00D00C0092074447929D0AI0CO0DU0IX0M`0Rd0Wf1`j1do\ 2jp2nu4ty4yz7tyApyClyFhyHdyK`yNXwQUwQPwSMwSIwUFwUC\ uX9u_5ub2ud0uh0uo0wj0uh0ff7WbFI`M9_W0Xb0bW0fO2jIAo\ CHu5Oy0Xz0dz0lp0f`0bN0_A0W00S00O00O00K04I07H0CF0FC\ 4IA9O9DR7IW4O`2Ud1jt4_h0O_0DP05H009000000000000000\ 000002005507A09H0AO0CU0F`0Hf0Io0Ku0Mz0Oz0My2Ko7KdA\ IWFIOKHFOF7UF0_D0bD0_A0X70W40U00S01O04N07K0AI0DH0F\ D0CA09905502200100000000200700C02H05N0AS0Db0OX0HS0\ AN94HI0CR0AW09`07d05h05l04p02t11y40zA1z72p44d15U07\ I0990A00400800A42A2HKHXUWocazmjzwkuzfhzaXzgOzhHzmC\ zw7zz2zz0zz0zm0zc1zX2zR4zM5zH7yC9y99dD5OH47O10W00_\ 00f00z10h40b70XA0RD0OH0KK0IO0FS0DW0C_0Ab09f07j05o0\ 2s00w00z00z00z00z00zN_zQXzSWzUUzXRz_Pz`OzbMzfKzhIz\ jHzoFzpDzsCzu5zwCzyIzzOzzWzz`zzhzznzzwzzzzzzzzzzzt\ zz`zzHzz0zz4zz5zzfzzhzzhz } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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Re: FOTD 17-01-05 (Spinal Tap [3])
by gnome＠hawaii.rr.com 19 Jan '05

19 Jan '05

Please keep them coming each day! Even when I don't visit the particular FOTD image, I enjoy your note and generally do check out the images! David gnome(a)hawaii.rr.com ----- Original Message ----- From: Jim Muth <jamth(a)mindspring.com> Date: Wednesday, January 19, 2005 5:15 am Subject: [Fractint] Re: FOTD 17-01-05 (Spinal Tap [3]) > At 12:19 AM 1/19/05 -0700, 'Rawzhuh' wrote: > > >Maybe he should use [the name 'Spinal Tap' again > >when he gets an editor. (If Jim ever gets an editor, > >then hopefully she looks carefully at December). > > If the less-than-great, or even less-than-good FOTD > images were edited out, I would never be able to post > the FOTD on a daily basis. I have often considered > abandoning the every-day schedule, and starting to > post my FOTD fractals and discussions when I have > something that truly deserves to be made public. > Maybe I will change the schedule to an irregular one, > maybe not.

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FOTD 19-01-05 (Mainline Railroad [6])
by Jim Muth 19 Jan '05

19 Jan '05

FOTD -- January 19, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's image is a scene in the Z^(2.003)+C Mandeloid, near the point corresponding to the Julia rectangle that appeared in yesterday's image. Surprisingly, not the slightest hint of rectangles appears in the image, though with a little stretch of the imagination, the elements surrounding the central midget can be taken to be a square. There is not much to be said about today's image, which for those with the ears to hear, speaks for itself. The rating of a 6 seems accurate. When the render time of just under 12 minutes is considered, the overall worth registers a nominal 51. I gave the picture a name inspired by the railroad-track features that fill this area of the Julibrot. I named it "Mainline Railroad". The image, in all the glory it can muster, will soon be posted, ready for download, on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The philosophy of (IMO) reality will be continued in a few days. With brisk winds and a high temperature of only 23F -5C, Tuesday was the coldest day yet of the winter here at F.C. The cats agreed, and spent the day on their shelf by the window, watching the starlings huddle around the local chimney outlets. The cat duo must have appreciated the view, because their moods remained acceptably good all day. Only one serving of tuna was needed. Today is starting with snow. The cats' fate is in doubt. My day is neutral, so far. It will turn good when the work is finished and I can shift my energies to Fractal Land. The next FOTD will appear in 24 hours. Until then, take care, and sit tight. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= MainLine_Railroad { ; time=0:11:51.17--SF5 on a P200 reset=2004 type=manzpower passes=1 center-mag=-1.74344067887645600/+0.000034591426496\ 45/2.689848e+009/1/-160/-0.0014367405561571539 params=0/0/2.003/0 float=y maxiter=2300 bailout=9 inside=0 logmap=365 periodicity=10 colors=000880A90CA0EB0GC0ID0KE0MF0OG0PJ0QM1RO2SR3T\ T4UW5XY5Z`6bb6de6gg7jj7ll8oo8rq8uuJuvUqvSouRmrPkpO\ inNilLjkKklIlmHmmGomEqmDsmCumCwm8zmCekGbdF_YEXRDPN\ DUKCYHBbEAfBAk89o58s38p49m59j59g69d7Aa7AZ8AW9AT9AQ\ ABNBBKBBHCBECBKDGPELUFQZGVcH_hIdmJirKmqIoqHpqFrqEs\ qCuqBvq9xq8yeDxUHxILx7Px7A1DPAJbIOpQNqSMrTLrVKsWKs\ YJtZIt_HuaGvbGvdFweEwgDxhDxiEwjFwjGwkHwkIvkJvlKvlL\ vlMvmNumOumPunQunQunNqlKnkHkjEhiBdh8ag5Zf3We5`Y7eR\ 9jJBpCDsDFuEGwFIzGJyGLxHMwIOvJPuKRuKStLaJUbJTcJSdJ\ ReJQfJPgJOfTNeaMdjLdsKbqKaoK`nK_lKZjKYiKXgKVeKUdKT\ bKS`KR_KQYKPXKY5EW9KUDPTGURKZQNdORiNUnLYsK`zMYzOWz\ QUzSSzTQzVOzXMwZKi`IaaG_cEXeCVgASi8Qh4Ij6Ok7Ul8_WJ\ x`Ynbledkdfkcgjbijbjjali`mi_oh_phZrhYsgXugXvfWxfVy\ fVvcUsaTp_SmYRjWQgTPdROaPNZNMXLLIeF3z97zAAzADzAGzA\ JzAMzAQzATzAWzAZzAazAdzAbzDazG`zJZzMYzPXzSVzVUzYnz\ ClzCjzCsz4izC_zJQzQPzNPzL } END PARAMETER FILE=========================================

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Re: FOTD 17-01-05 (Spinal Tap [3])
by Jim Muth 19 Jan '05

19 Jan '05

At 12:19 AM 1/19/05 -0700, 'Rawzhuh' wrote: >Maybe he should use [the name 'Spinal Tap' again >when he gets an editor. (If Jim ever gets an editor, >then hopefully she looks carefully at December). If the less-than-great, or even less-than-good FOTD images were edited out, I would never be able to post the FOTD on a daily basis. I have often considered abandoning the every-day schedule, and starting to post my FOTD fractals and discussions when I have something that truly deserves to be made public. Maybe I will change the schedule to an irregular one, maybe not. FOTD in about 1-1/2 hours. Jim M.

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FOTD 17-01-05 (Spinal Tap [3])
by Jim Muth 19 Jan '05

19 Jan '05

FOTD -- January 17, 2005 (Rating 3) Fractal visionaries and enthusiasts: Today's image is part of the fractal that results when 1/Z is subtracted from Z before C is added. The parent fractal is little more than a hyperbola symmetrical to the X-axis, with the open end on the east side. In this case the 'main bay' is truly impressive. In fact, it is quite possibly infinite. But infinite or not, its shoreline is filled with typical Mandelbrot things such as buds and spirals. Today's image lies rather deep in one of the spirals. I gave the image the rather unpleasant name of "Spinal Tap" because the elements surrounding the central midget remind me of a spine, with its loosely connected discs and bones. Unfortunately for those in a hurry, the image is a very slow one. It takes over an hour to complete on my aged unit. The dark dreary colors add little to the image, and drag its value down to a 3. When the render time is figured in, the overall worth registers a shameful 4.7. But as in most all fairy tales, salvation is at hand. The task of rendering may be avoided. The finished image will soon be posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> from where it may conveniently be downloaded. The philosophy of the day appears in the philofractal version of this discussion. A cloudy cold day here at Fractal Central on Sunday, with a temperature of only 34F 1C, kept the duo safely indoors. When a few snowflakes started falling in the evening, they knew they had made the right decision. This morning is starting sunny but blustery, and even colder. I had best have the tuna ready again. As for the work, it is still a bit heavy, but I now have FOTD's in storage for the days when there is no time to do completely new ones. The next FOTD will appear on schedule right here in 24 hours or so. Until then, take care, and if you want to catch a squirrel, climb a tree and act like a nut. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Spinal_Tap { ; time=1:03:24.36--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+2.82715396322678/-0.00004849471454/1.6\ 01449e+011/1/82.5/0 params=-1/-1/-1/1/0/0 float=y maxiter=10000 inside=0 logmap=1152 periodicity=10 colors=000hOVhOViPVjPVjQWkQWkRWlRWlSWmSWmTXnTXnUXo\ UXoVXpVXpWYqWYqXYrXYrYYsYZsZZtZZt_Zu_Zu`Zv`_va_wa_\ wb_xb_xb_vYWtUSrPPpLLnHHlCEj8Ai47h68h78g88g98fA9fB\ 9fC9eD9eF9dGAdHAdIAcJAcKAbLBbMBaOBaPBaQB`RC`SC_TC_\ UC_VCZXDZYDYZDY_DX`EXaEXbEWcEWeEVfFVgFVhFUiFUjFTkG\ TlGSnGSoGSpGRqHRrHQsHQtHQuHPtGPtGPsGPsGOrGOrGOqFOq\ FNpFNpFNoFNoFMnFMnEMmEMmELlELlELkELkEKjDKjDKiDKiDJ\ hDJhDJgDJgCIfCIfCIfCIeCIeCHdCHdBHcBHcBGbBGbBGaBGaB\ F`AF`AF_AF_AEZAEZAEYAEY9DX9DX9DW9DW9CV9CV9CV8CU8CU\ 8DT8ET8cS8GS8HR7IR7gQ7KQ7LP7MP6NO6OO6PN6QN6RM5SM5K\ I5UL5UK6UK7UJ8UJ9UIAUIBzHzPZzKUzFGFEFGEEHEDIDCJDCK\ DCLDCMDDNDDOCDPCDQCDRCDSCDTBDUBEVBEWBEXBEYBEZAE_AE\ `AEaAFbAFcAFd9Fe9Ff9Fg9Fh9Fi9Gj8Gk8Gl8Gm8Gn8Go7Gp7\ Gq7Hr7Hs7Ht7Hu6Hv6Hw6Hx6Hy6Iz6Kz5Kz5Kz5Kz5Iz5Iz4Hz\ 5Iz6Jz7Kz8Lz9MzANzBOzCPzDQzEKzFKzGKzHKzIKzJKzKKzLK\ zMKzNKzOKzPKzQKzRKzSKzTKz } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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From Spinal Tap to Stargate SG-1
by Lee H. Skinner 18 Jan '05

18 Jan '05

Here is a zoom into Jim's Spinal Tap that is slow but well worth waiting for. Do it on your machine overnight if you wish, but at the highest resolution you have. It's awesome at 1600x1200. It reminds me of the Star Gate from the TV show Stargate SG-1 with a Mandelbrot Midget in the center. 60117011 { ; Stargate SG-1 Mandel Version ; t= 2:57:26.78 on a P4 2Gh at ; 1600x1200 Image Copyright 2005 ; by Lee H. Skinner ver=2004 reset=2004 type=formula formulafile=fractint.frm formulaname=mandelbrotmix4 function=ident passes=1 center-mag=+2.82715396322678300/-0.00004849471454388/\ 1.545461e+012/1/84.9946507906923046/0.006935150755078\ 19545 params=-1/-1/-1/1/0/0 float=y maxiter=20000 inside=0 logmap=1667 symmetry=none periodicity=10 colors=000Vcz<16>NgzMgzMhz<3>Jiz<3>`icdiYhiTmi0qiHvhB\ xh6zg0<3>nc2kc2hb3<2>__4XZ5WZ5<3>PX8NW9MW9KVAIUBHSBFQ\ A<3>000<2>000077<3>0HH0KK0MM<3>UqSayUQnNEbFAg8<6>CdZC\ cbCcf<3>Dav<3>PMmSIjVEh<3>LE_JEYKEY<16>dE`eE`gEa<3>lE\ bjEahD`zC0cByaAW_AVXtuV8S<3>M5MK4KzqJF2HD1GA0EC1EF3EH\ hzK6EN8DPADzCDVDDXFDHHCaJCdKCM3CiOClQBPGAqTBtVBwXA<34\ >yutyuuyvwywxzxz<6>zxzzxzzyz<3>zyzyxzxwz<24>ddzcdzbcz\ abz<2>_azZazZbz<5>Wcz } Lee Skinner

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FOTD 18-01-05 (Golden Rectangle [6])
by Jim Muth 18 Jan '05

18 Jan '05

FOTD -- January 18, 2005 (Rating 6) Fractal visionaries and enthusiasts: The morning started with an unwanted e-mail with a subject line that read, 'hey jamster i found what you were looking for'. I was quite puzzled, for I had no idea who jamster is or what he was looking for. But all the sender wanted was to sell him something or other that he did not need, so no damage was done. I deleted the letter to the trash bin and got to the fractal. In today's image we return to one of my favorite fractal objects, the mysterious rectangle that exists in the C=-1.7435,0 Julia set of the formula Z^(2.003)+C. To make things a bit more interesting I added the small imaginary value of 0.00025 to C. The imaginary addition gives the whole scene a twist, making an image worthy of the status of FOTD. I named the image "Golden Rectangle". One glance at the picture will reveal why I chose the name. The render time of 3-1/2 minutes is certainly within reason, and results in an overall worth of 173. For the convenience of those who do not enjoy rendering, the completed GIF image will soon be ready for download on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The next installment of 'philosophy' is included in the philofractal version of today's discussion. It was partly cloudy but very cold here at Fractal Central on Monday. The temperature hovered around 23F -5C all afternoon, which kept the dynamic fractal cats safely indoors. They needed only to stick their noses out the door for a few seconds to know that they would not want to be outside. Their moods were not too sullen, but I gave them an extra treat of tuna to be sure they were happy. This morning is starting even colder, with a temperature of 12F -11C. Luckily, we are well stocked with tuna. The work is still heavy, but never fear, I have spare FOTD's waiting. The next FOTD will appear in 24 hours, to continue the high standards of the past 7-3/4 years. Until that golden moment arrives, take care, and of course you can. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Golden_Rectangle { ; time=0:03:28.17--SF5 on a P200 reset=2004 type=julzpower passes=1 center-mag=-0.0\ 00437451/0.0736706/50 params=-1.7435/0.00025/2.003/0 float=y maxiter=500 bailout=9 inside=0 logmap=43 periodicity=10 colors=00088JA9HCAFEBDGCBID9KE7MF5OG2PJ3QM3RO4SR4T\ T4UW5XY5Z`6bb6de6gg7jj7ll8oo8rq8uuJuvUqvSouRmrPkpO\ inNilLjkKklIlmHmmGomEqmDsmCumCwm8zmCekGbdF_YEXRDPN\ DUKCYHBbEAfBAk89o58s38p49m59j59g69d7Aa7AZ8AW9AT9AQ\ ABNBBKBBHCBECBKDGPELUFQZGVcH_hIdmJirKmqIoqHpqFrqEs\ qCuqBvq9xq8yeDxUHxILx7Px7A1DPAJbIOpQNqSMrTLrVKsWKs\ YJtZIt_HuaGvbGvdFweEwgDxhDxiEwjFwjGwkHwkIvkJvlKvlL\ vlMvmNumOumPunQunQunNqlKnkHkjEhiBdh8ag5Zf3We5`Y7eR\ 9jJBoCDpDFpEGpFIqGJqGLqHMrIOrJPrKRsKSsLUsMVtNXtOTr\ TYtObuJgvEmx9lwAlwAlwAkvAkvAkvAjuAjuAjuAitAitAmw8i\ vAewCaxEZyGVzHRzJOzLKzNGzODzQ9zS5zU2zV6zT9zRCzPFzN\ IzLLzJMzDOzIQzMSzQTzVVzZXzbYzfWzdVzcUzaSz`RzZQzYPz\ WNzVMzTLzSJzOKzRLzTMzWNzYNz`OzbPzeQzgRzjUzmRzlPzlN\ zlKzkIzkIzpGzkEzfDzaBzX9zS8zN6zI4zD3z97zAAzADzAGzA\ JzAMzAQzATzAWzAZzAazAdzAbzDazG`zJZzMYzPXzSVzVUzYnz\ ClzCjzCsz4izC_zJQzQPzNPzL } END PARAMETER FILE=========================================

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Re: FOTD 14-01-05 (Happy Anniversary [7])
by Jim Muth 18 Jan '05

18 Jan '05

At 07:22 PM 1/17/05 -0700, Rawzhuh wrote: >On Fri, 14 Jan 2005, Jim Muth wrote: > >> Today's piece of fractal art is a tiny part of the fractal that >> results when Z^(1.25) is subtracted from Z^(-0.75) before (1/C) >> is added. > > LITERALLY, that means z=Z^(-0.75) -Z^(1.25) +1/c, and it doesn't >matter WHEN you add recip(c), so maybe Jim should lead his articles with >something about the fractal cats, because that equation just doesn't fit >into your formula, Mister Muth. You're right, I'm wrong, and the consequences are trivial. The fractal is still pretty good regardless of how I said it got that way. Next FOTD in 12 hours. Jim M.

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FOTD 14-01-05 (Happy Anniversary [7])
by Jim Muth 18 Jan '05

18 Jan '05

FOTD -- January 14, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's piece of fractal art is a tiny part of the fractal that results when Z^(1.25) is subtracted from Z^(-0.75) before (1/C) is added. The parent fractal consists of two small Mandeloids surrounded by considerable fractal debris. Today's scene lies in the East Valley of the smaller Mandeloid. I named the image "Happy Anniversary". The name was whimsical. I have no anniversary that falls on January 14th. But the name is entirely appropriate, for the odds are likely that someone who reads this message will have some kind of anniversary on January 14th. When rendering the image, I set the outside to 'summ'. The result was an image worth a rating of 7. When the render time of over 12 minutes is taken into consideration, the overall worth registers a respectful 57. For convenience, the finished GIF image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> from where it may quickly be downloaded. Today's philosophical discussion appears in the philofractal version of this message. A damp, mostly cloudy day with light sprinkles on Thursday kept the fractal cats close to the house, but the temperature of 63F 17C lured them briefly into the thicket, where they managed a 10-meter journey. This adventure kept them as happy as old codger cats can be. Today is starting with heavy rain and flooding. It is also turning colder. The day will hold hazards for the dynamic duo. For me, it's work then fractal fun. The next FOTD will appear right here in three days on January 17. After that, it should be back to the daily FOTD schedule. Until then, take care, and be serene. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Happy_Anniversary { ; time=0:12:22.22--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.36380452105611450/-0.077315904189054\ 44/1.587035e+009/1/92.5/6.30355824760009398e-007 params=-1/1.25/1/-0.75/0/0 float=y maxiter=2000 inside=0 outside=summ logmap=265 periodicity=10 colors=0000A00E00I02M07Q0AU0EW0IY0M_0Oa0Pc0Pe2RgAR\ iITjPTkXVkdXmkXmrYmyYnz`oz`pzbqzdrzdszetzguzgvziwz\ ixzkyzkzzkzzkzzmzzmzzmzzmyznyznwznwznwznvzpvzptzpt\ zptzrrzrrzrpzrpzrpznnzmnzimzgmwdktbkpenk`kmXgnRdnO\ `pIXrETrAPt4Mv0Iv0Ew0Ay02z07y08y0Ay2Cy8EyCIyIKyMMy\ ROwXPw`TweVwkXwnYwt`wwbwzXyXCz00z00b008000200700A0\ 4C0CG0KK4RO8YPCeTAgVAgXAgYAg`Agb8gd8ge8gg8ii8ik7im\ 7in7ip7ir7it7ip8dn8`mAXkATiAPgCMeCIdCEeOIgXMiePinR\ mtknyzpzznwzmrzkkziezgYzeTzdMzbGz`8yY2vY0td2gi8VmE\ IrK4wP0zV0zT0zT0zR0zR0zP0zP0zO0zO0zM4zM7zKAzKCzIGz\ IIK0`M0dO0eP0iR0kR0nT0pV0tX0vY0yY0zV0zT2yREwRPvP`t\ OkrmcAb00V00P4AK8REAg8Ew2Iz0Kz0Pz0Tz0Xz0`z0dz0iv0m\ p0pk0te0w`0zV0zP0zK0zE0z80z40z80zC0zG0yK0tO4nR7kVA\ eYC`bEVeIPiKKmMGnPVwTgzXtz`zzXzzVzzTzzPzzOzzMzzIzz\ GzwEztAzr8zn7zm2zi0zg0zd0zb4zYCzVrz8tz0vz0wz0nz0gz\ 0`z0Tz0Mz0Ez08z04z00z00z0 } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Re: [Fractint] No FOTD for several days
by Guy Marson 18 Jan '05

18 Jan '05

At 01:46 13/01/2005 -0700, you wrote: >On Mon, 3 Jan 2005, Guy Marson wrote: >(...) >> Dear friends, >> My new email address is <gmarson[at]mnhn.lu>. >> The former address <guy.marson[at]mnhn.lu> >> is no more valid. > > Sorry to hear that you would publish such a thing instead of >having the first address filtered and forwarded to the address you >actually use. It is the spammers and only the spammers who should be >running to new e-mail accounts. > thanks for the warning!! I changed my signature .. cheers, Guy

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FOTD 10-01-05 (Fractal Delicacy [6])
by Jim Muth 16 Jan '05

16 Jan '05

FOTD -- January 10, 2005 (Rating 6) Fractal visionaries and enthusiasts: With today's scene we return to the most important fractal of all, the Mandelbrot set, to check the north branch of the valley of the large period-5 bud on the northwest shore of the main bay. We wander quite deep into one of the seahorse spirals on the outside of the valley, though at this point of the M-set I am undecided whether the spirals are more like seahorse tails or elephant trunks. We end up at a rather routine midget. The midget itself is nothing that has not been seen many times before, and by itself would rate a 5. The extra brilliant coloring however raises the rating to a 6. When the render time of one minute is taken into consideration, the overall worth equals a resounding 559. The magnitude of the image is right on the border of arbitrary precision math. When the image is rendered with conventional math, it finishes in one minute. When arbitrary precision math is used, the image drags on for an hour. The difference in appearance between the images drawn by the two rendering methods is very small, so I have inserted the mathtolerance entry into the included parameter file to insure that the very speedy conventional math is used. I named the image "Fractal Delicacy". At this depth, the spirals are delicate indeed, and do not quite resemble anything in the 'real' world. Thr best way to see the delicacy is to run the parameter file. Those with machines that fight the program may wish to download the image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The next installment of philosophy is included in the philofractal version of this discussion. The fractal weather was questionable on Sunday here at Fractal Central. We had many clouds, a little sun, some wind, but no rain. The temperature of 48F 9C made conditions acceptable to the fractal cats, who spent several hours on the porch, hoping for an occasional shaft of sunlight to filter through to the porch, and several more hours clearing the holly thicket of stray cats. Actually, Tippy did the clearing. He is the tough, wiry tabby. Thomas, the lazy, oversized yellow-orange one, just sat there and watched the intruder dash away up the hill to where he belongs. This morning is starting pleasant enough. The duo should have another good day. My day will be good when I have the work under control. From the way things are going, the next FOTD will appear in 3 or 4 days, when, if nothing unexpected happens, I should have a full week of nearly complete FOTD's on file and ready to go, enabling me to resume the regular daily schedule. So until late in the week, take care, and as you go through life, wonder about your trip. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Delicacy { ; time=1:04:41.47--SF5 on a P200 reset=2004 type=mandel passes=1 mathtolerance=/1 center-mag=-0.464761734263855364/0.544868295457240\ 248/4.357241e+013/1/117.5/0 params=0/0 float=y maxiter=12000 bailout=9 inside=0 logmap=-1925 periodicity=10 colors=000AaOEaUIa_MaeQalU_rY_xa_ze_zi_zn_zrYzvYzz\ YzzYzzYzzWzzUzvSzoQziOzcMxYIxSGvMEtICrCAo78n15n03l\ 01i00g03e07c0Aa0Ec3Ic7MiAQnEUrIYvUazeeztizztzzzzzz\ zzxxzvoztgzr_zoQznIzlAzi3xg0zl0xg0vc0ra0oY0nW0iS0g\ Q0eM0aK0_G0YC0UA0S70Q50M10K00I00E00C00100700A00E00\ I10M81QE7UMCYUIa_OegUin_egUacQY_MUWIQQCMM8II5EE1A8\ 0750310100500710A10C30E30I51K73O77Q88S8CWAEYCG_CKc\ EMeEQiGSlGWnIYrK_tKcvMezMizOlzQnzQrzStzSxzUzzYzzUz\ zSvzOozMitKcnGYgESaAKW8EQ78K33E1080030000000000000\ 300E01Q03a05n00v00x05z0Cz0Iz0Oz0Wz0az0gz0oz0vz0zz1\ zz3zz5zv7zo8zgAzaCzWEzQGzKIzCKz7Mz1Oz0Qz0Sz0Uz0Wz0\ Yz0_z0_z0_z0_z0az0az0az0az0cz0cz0cz0cz0ez0ez1ez3ez\ 7gz8gzAgzEgzGizIizMizOizQYzxczgizSozEvz0zz0zz0zz0z\ z0xz0rz0iz0az0Wz0Oz0Gz0Az03z00z00z00z00z00z00z00z0\ 0z30z50z80zA0zE0zG0zI0zM0zO0zS0zU0zY0z_0za0zS0zK0z\ C0z00z00z58zMMzeWz7UzCSzI } END PARAMETER FILE=========================================

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RE: Fractint Digest, Vol 23, Issue 4
by carenp 13 Jan '05

13 Jan '05

she will be missed, but she joins richard sherry, another fractal artist who influenced me greatly as well... you will be remembered, carol... 00 caren http://www.parkgallery.org WALSKE, Carol Ann - Died December 13, 2004, surrounded by family and friends, following a long battle with cancer. Carol was born on March 20, 1955, in Los Alamos, NM, and spent her childhood in Geneva, London, Paris and various cities across the US. She settled in New York City for 20 years, prior to coming to SF in 1995. Since 1997 she worked as a word processor for the law firm of Davis Wright Tremaine. Carol was an extremely creative person. A fine and prolific writer and artist in various media, she also had a great appreciation for music and literature. Carol was also skilled in computer applications, combining her talents and passions in graphic design, fractal art, and raising word processing to new heights. Her creative and technical abilities were matched only by her caring nature and her willingness to share her heart and her gifts with others. Carol is survived by her parents, Marjorie and Carl Walske; sister, Susan Cabiati; brother, Steven Walske; five nieces and nephews; and many great friends, including long-time companion, Fern Marder. Carol requested that donations in her memory be made to the Lance Armstrong Foundation or UCSF's Carol Franc Buck Breast Care Center. -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.300 / Virus Database: 265.6.11 - Release Date: 2005.01.12

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FW: Fractint Digest, Vol 23, Issue 1
by Hal Lane 13 Jan '05

13 Jan '05

What is an "all in none" and why would one keep an "all in none" on one's hard drive? I don't see what post you are referring to -- and you didn't quote it in your post. - Hal Lane ######################### # hallane(a)earthlink.net <mailto:hallane@earthlink.net> # ######################### > >Date: Mon, 3 Jan 2005 03:45:32 -0700 (MST) >From: Rawzhuh <brewhaha(a)freenet.edmonton.ab.ca> >Subject: [Fractint] Late FOTD (fwd) >To: Advanced Paint By Number <Fractint(a)mailman.xmission.com> > >Am I the only one that keeps an "all in none" on my hard drive? >If I were writing Jim's Column, that would be a link to a zipfile >on the server he uses. >________ >Mathematicians don't believe in a bigger half. >Physicists can't avoid the bigger half. >It always looks better on paper than in practice. -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.296 / Virus Database: 265.6.7 - Release Date: 12/30/04

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No FOTD for several days
by Jim Muth 13 Jan '05

13 Jan '05

Fractal enthusiasts: Due to unexpected work, I am unable to post the FOTD for today Jan. 1. To prevent such situations from happening in the future, I have decided to start writing the FOTD discussions several days before the day on which they will be posted, so that I will have a backlog of FOTD's that I will be able to turn to on very busy days such as today. It will take about one week to accumulate the FOTD's. The next FOTD, along with the promised philosophy, will appear right here in about one week. Until then take care. Jim M.

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FOTD 02-01-05 (Beyond the Infinite [4])
by Jim Muth 13 Jan '05

13 Jan '05

FOTD -- January 02, 2005 (Rating 4) Fractal visionaries and enthusiasts: I relaxed most all day yesterday. Maybe I relaxed too much, for in the evening, when the time for fractals came, some unexpected visitors arrived, and I had to forego my trip to Fractal Land. As a result I found myself this morning with FOTD post time near and no FOTD to post. But there is always the Mandelbrot set to fall back on in such emergencies. For today's image, I went to the valley of a minor sub-bud on the northern shoreline of the third bud out the main stem. To add to the interest, I rendered the scene with the 'outside' set to 'fmod' and the 'proximity' set to a rather small 0.0004. I chose the blue color theme to increase the feeling of infinity. The name "Beyond the Infinite" was the best I could come up with on such short notice. And the time really is short. It is so short that I have yet to see a full-sized rendering of today's image. I did all the coloring work on the 3.16x reduction thumb- nail image that I use for exploring. The render time of 50 minutes is an educated approximation based on the fact that the thumbnail rendered in 5 minutes and 2 seconds. The rating of a 4 is not all that might be hoped for, and when the render time is considered, it gives an overall worth of only 8. Perhaps the best way to see the image is to download it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The new year seems plagued with disappointment. Not only is the FOTD falling behind, the philosophy is doing even worse. But the year still has 363 days yet to go -- plenty of time for deep philosophizing. Under brilliant sunshine the temperature reached 67F 19.5C here at Fractal Central on Saturday. Needless to say, the two fractal cats were quite happy, and enjoyed a full afternoon in the yard. Even the pesky crows were gone. But today is starting quite cloudy and notably cooler. The day will not be as good, that much is for sure, but just how bad will it be? Check back in 24 hours to find out. Until then, take care, and what event failed to take place on January 12, 1992? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= BeyondTheInfinite { ; time=0:50:00.00--SF5 on a P200 reset=2004 type=mandel passes=1 center-mag=-1.38950223803668900/+0.013148864850645\ 61/1.507328e+010/1/77.5/-2.91685791431184338e-005 params=0/0 float=y maxiter=60000 bailout=9 inside=0 proximity=0.0004 outside=fmod periodicity=10 colors=000d_Ug`Vj`XmaYpa_sbapa_pa_p`Zo`Zo_Yo_YoZXn\ ZXnYWnYWnXWHPJIQLIQNJQPJRRKRTKRULSWLSYMT_MTaNTcNUe\ OUgOUhNWiMXjLYjKZkJ_lJ`lIbmHcnGdnFeoEfpEgpDiqCjrBk\ rAls9mt9nt8pu7qv6rv5sw5sv6ru7rs8qr9pq9poAonBnmCnkD\ mjEliElgFkfGjdHjcIibIi`Jh_KgZLgXMfWNeVNeTOdSPcRQcP\ RbOSaMR`OP_ROYUMXWKWZJUaHTdFSfEQiCPlAOn9Mq7Lt5Jw5J\ w6Kw7Lw8Mw9Nw9OwAPvBQvCQvDRvDSvETvFUvGVuHWuIXuIXuJ\ YuKZuL_uM`tMatNbtOctPctQdtQetRfsSgsThsUisVjsVjsWkt\ XlwYmzZnzZoz_pz`qzaqz`py_nwZmuYksXiqWhoVfoUenTcnSa\ mR`mQZlPXlOWkNUkMTjLRjKPiJOiIMhHLhGKgFLgEMfDNfCOeB\ PeAQf8Rf7Sg7Sg7Sg7Rg7Qf7Qf7Pe7Oe7Od7Nd7Md7Mc7Lc7Kb\ 7Kb7Ja7Ia7Ia7H`7G`7G_7F_7EZ7EZ7DZ7CY7CY7BX7AX7AW79\ W78W78V77V76U76U75T74T63S63S64T64U65V65W66X66Y67Z6\ 7_68`68a69b6Ab6Ac6Bd6Be6Cf6Cg6Dh6Di6Ej6Ek6Fl6Fn6Gn\ 6Ho6Hp6Ir6Is6Jt6Ju6Kw6Kx6Ly6Lz6Mz5Nz6Mz7Nz8Oz9PxAQ\ wARvBStCSsDTrEUpFVoFWnGXm } END PARAMETER FILE=========================================

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[Fwd: Carol Walske]
by Susan Chambless 13 Jan '05

13 Jan '05

Hello, I understand that Carol was a member of the Fractint community for many years. I thought some of you might want to know this news about her. Take care, Susan -------- Original Message -------- Subject: Carol Walske Date: Tue, 11 Jan 2005 08:47:58 -0800 From: Marder, Fern <Marder.Fern(a)dorsey.com> To: <columbine(a)sbcglobal.net>, <joe.whelan(a)virgin.net>, <gillesnadeau56(a)vidiotron.ca>, <cashan(a)earthlink.net> TO: Susan Chamblis, Paul Whelan, Gilles and Louise Nadeau, Coni Shannon Dear Fractal Artists -- Forgive me for intruding, but this is the only way I know to get the following message to the many, many dear friends, fractal colleagues and admirers of Carol Walske's work. I took the liberty of writing this to you in the hope that you would pass the news on the various fractal lists. I am terribly sorry to have to tell you that Carol Walske passed away on December 13, 2004, after a long, valiant fight with cancer. In her last few days, she was surrounded by family and friends and was, for the first time in many months, in no pain. I wish you all could have known her personally. Carol was the kind of person who touched the lives of everyone she met.* * Carol was an extraordinarily creative person. She did artwork in many media and was also a very fine writer. I knew Carol for more than 30 years. I remember well when she discovered fractal art and how excited she was by it and the fractal art community. Carol could be quite shy in person, but on line she blossomed. Carol loved the shared creativity of the virtual fractal world. She felt very welcomed and was deeply touched by your appreciation of her work and kind personal concern for her. Carol received her fractal mail at her work e-mail address; her office saved her inbox to a CD for me, which is how I found you. I do not have access to the various fractal posting lists. If there is a way that you can copy me on whatever you post and any replies, I would be much obliged. Thank you again for the many years of joy the fractal community gave to Carol. She loved you a lot. With best regards, Fern Marder 400 Anza Street #302 San Francisco, CA 94118 marder.fern(a)dorsey.com Carol's obituary as posted in the San Francisco Chronicle: WALSKE, Carol Ann - Died December 13, 2004, surrounded by family and friends, following a long battle with cancer. Carol was born on March 20, 1955, in Los Alamos, NM, and spent her childhood in Geneva, London, Paris and various cities across the US. She settled in New York City for 20 years, prior to coming to SF in 1995. Since 1997 she worked as a word processor for the law firm of Davis Wright Tremaine. Carol was an extremely creative person. A fine and prolific writer and artist in various media, she also had a great appreciation for music and literature. Carol was also skilled in computer applications, combining her talents and passions in graphic design, fractal art, and raising word processing to new heights. Her creative and technical abilities were matched only by her caring nature and her willingness to share her heart and her gifts with others. Carol is survived by her parents, Marjorie and Carl Walske; sister, Susan Cabiati; brother, Steven Walske; five nieces and nephews; and many great friends, including long-time companion, Fern Marder. Carol requested that donations in her memory be made to the Lance Armstrong Foundation or UCSF's Carol Franc Buck Breast Care Center.

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FOTD 07-01-05 (Fire-Wheel [5])
by Jim Muth 08 Jan '05

08 Jan '05

FOTD -- January 07, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's fractal combines 0.4 negative portions of Z^(1.5) with 6 portions of Z^(-0.5) before adding C. When the parameters are entered into the formula, the default image looks most unpromising, consisting of nothing more than a few flat equal- iteration bands. But an out-zoom reveals a quite interesting display of distorted Mandeloids and pseudo-Mandeloids lying off the screen to the north and west. Today's scene is located in a disconnected area of interest in the interior of the northern valley of the very large bud of the eastern Mandeloid. I named the image "Fire-Wheel" after the broken ring of fiery red elements surrounding the midget at the center. The rating of a 5 seems fair enough. And the render time of 15 minutes gives the image an overall value of 33. The most convenient way to see the image is to download it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The philosophy appears as promised in the philofractal version of today's FOTD discussion. With cloudy skies, drizzle, and a temperature of only 45F 7C, Thursday left much to be desired in the cat department here at Fractal Central. Just a single glance out the door and a wet paw or two convinced the duo that the day would be far more pleasant if they passed the time indoors on their shelf by the window. A generous treat of tuna eased their disappointment. Conditions this morning are somewhat improved. It should be a better day for the duo. For me, the work is normal and I already have two more FOTD's in storage. I'll keep storing extra ones until I have a week's supply on file and ready to go if the work becomes too heavy to write a new FOTD each day. The next FOTD, along with more philosophy, will appear in a few days. Until that golden moment arrives, take care, and keep thinking. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fire-Wheel { ; time=0:15:07.59--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.77174139347286160/+7.555493521532266\ 00/330120.1/1/97.5/2.15404465632451636e-007 params=-0.4/1.5/6/-0.5/0/525 float=y maxiter=1800 inside=0 logmap=246 periodicity=10 colors=0000RA0SA0TA0TA5UB8UFAUICTMETPGTSITWKSZSkYR\ iZRhZQgZQfZQd_Pc_Pb_Pa_O_`OZ`NY`NX`NVaMUaMTaqlLfeR\ WZXakXZgYWdZUa_RY`OVaBKmCLhDLZEMUEMUFNZGNbGOfHOj7S\ m6Qg6Oc6MaZJNzH4yQ7xZ9wgBvpDvyFqvGmtGhqGdoG`mGWjGS\ hHNeHJcHFaHAZH6XH2VH5QO8MVAHaDDhF9nQZIPVOORUNO_MKd\ LHjKDpKAuKFqKJnKOjKSgKWdK``KdYKhVHjLElCBm3Ch5Cd6C_\ 8CW9DSADNCDJDDFEHEFLEGOEGSEHVEIZEIbDJeDKiDKlDLpDMs\ DMmILhMLcQLYVKTZKObKJfKKdNLcQMbTM`WN_ZOZaPXdPWfQVi\ RTlSSoSRrTPuUOxUNzuwNrrMpmLniLkdKi`JgWJeSIbNH`JHZE\ GXAGVEIUHJTKLSNMRQNPTPOWQN_SMbTLeUJhWIkXHnZGq_Ft`J\ sXNrTRqPUqMYpIaoEdoBniBwdBrWOmO`iGlYJgNMbCPYDQZEQZ\ FQZFQ_GR_HR_HR_IR`JR`KSoKSaLTaLSaMSaW71SEEPLQU0mT0\ mScpRcmQckPchOcfNccUHLTJNSKPRLRQMSQNUPOWOPXNQZMR`u\ 7icIe9yiAzhBzgCzgDzfEzfFzeGzeGzdHzdIzcJzcKzbLzbMza\ Kz`Lza4z_Dz`jzoezl`ziWzfWzciz4fz8dzBbzE`zHZzKWzNUz\ QSzTQzWOzZmzlizjfziczh`zg } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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The next FOTD is within sight!
by Jim Muth 06 Jan '05

06 Jan '05

Fractal enthusiasts: The stock of tuna is large, the fractal cats are happy, and the next FOTD will appear in 24 hours, complete with deep philosophy for those who prefer their fractals wrapped in thought. Could the news possibly be better? Jim M.

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Re: [Fractint] What do the cats do if they are in a bad mood and thereis no tuna in the house?
by Jim Muth 05 Jan '05

05 Jan '05

At 10:37 AM 1/4/05 -0500, Hal Lane wrote: > >What do the cats do if they are in a bad >mood and there is no tuna in the house? This is a hypothetical question, for I always have at least one can of tuna on the shelf. If the situation actually did arise however, the cats would probably walk all over the fractal keyboard until I went out, found an open store, and returned with their tuna. And yes, they already have managed to enter some fractal parameters. Unfortunately, the fractals they have produced have so far failed to meet FOTD standards. Jim M.

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Re: [Fractint] What do the cats do if they are in a bad mood and there is no tuna in the house?
by gnome＠hawaii.rr.com 04 Jan '05

04 Jan '05

Sounds like an interesting way to get some new parameters to feed into a formula! David gnome(a)hawaii.rr.com ----- Original Message ----- From: John Lewis <jlewis(a)clara.net> Date: Tuesday, January 4, 2005 10:54 am Subject: Re: [Fractint] What do the cats do if they are in a bad mood and there is no tuna in the house? > On Tue, 4 Jan 2005 10:37:05 -0500, Hal Lane wrote: > > >>They came inside in bad moods after only an hour in the yard, > and > demanded extra tuna, which, knowing the alternative, I gave them > at > once. > > > What do the cats do if they are in a bad mood and there is no > tuna in > the house? > > > > Jump all over Jim's fractal keyboard, perhaps? > > ;-) > > John > -- John Lewis, jlewis(a)clara.net on 04/01/2005 > > PS As fractal cats do they get fractal tuna? Is this particularly > good > for the environment? > > > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint >

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What do the cats do if they are in a bad mood and there is no tuna in the house?
by Hal Lane 04 Jan '05

04 Jan '05

> They came inside in bad moods after only an hour in the yard, and demanded > extra tuna, which, knowing the alternative, I gave them at once. What do the cats do if they are in a bad mood and there is no tuna in the house? - Hal Lane ######################### # hallane(a)earthlink.net # ######################### -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.296 / Virus Database: 265.6.7 - Release Date: 12/30/04

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FOTD 06-12-04 (Un-Unity [5])
by Jim Muth 04 Jan '05

04 Jan '05

FOTD -- December 06, 2004 (Rating 5) Fractal visionaries and enthusiasts: Today's formula is not strictly an escape-time formula, but the type of image it draws (it draws only one image) is close enough to escape-time images to be included in the Fractint tour. We learned in high school that the graph of X^2+Y^2 is a circle, but we never learned that it could be a fractal. (At least I didn't) As today's image shows, X^2+Y^2 makes a striking fractal. All that is necessary to bring out the latent fractal is to make the journey to unity a bit difficult, as has been done in the 'unity' formula. (An interested fractalist is also a help.) The fractal is a strange one. Features that are clear on the surface vanish mysteriously as we zoom in on them. When today's image is rendered at a resolution of 640x480, there is an obvious but very narrow circle of radius 1 around the origin. At a resolution of 800x600 only a few scattered traces of this circle are visible. And when we try to zoom in on the circle, it vanishes completely. It is not only this delicate circle that vanishes when it is enlarged; nearly every feature in the interior of the circular fractal itself is unstable, almost as though the entire fractal were a moire pattern. Today's image shows the entire unity fractal rotated -135 degrees. By setting the outside to 'atan' and turning on the 'decomp' feature, I was able to divide the fractal into two contrasting semi-circles and come up with an image worthy of FOTD status. The name "Un-Unity" implies that the two halves of the image are so different as to be separate entities. The image is extremely fast, rendering in less than 6 seconds on my 7-year-old machine. Since the 'unity' formula has no parame- ters to tweak, and the fractal is unstable when it is zoomed into, I could take no credit for finding a great image. But today's FOTD is a fine rendering of the basic fractal, well worth the rating of an average 5 that I gave it. And when the hyper-fast render time is considered, the overall worth measures an astounding 5102. Of course, such numbers are meaningless. All fractals that complete in less that a minute should be considered 'instant' fractals. Today's fractal can be seen by running the included parameter file or by downloading it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The warm sun continued all afternoon here at Fractal Central on Sunday, while the temperature reached a mild 54F 12C, giving the fractal cats all the time they wanted in the yard. It was one of the best days in the past several weeks. The day was so good in fact that no special treat was needed to keep the duo happy in the evening. This morning is starting cloudy however, and it is colder. Rain is also threatening, so I doubt that the good day will be repeated. For me it will be just another workday. When I finish, I will have to decide what kind of fractal theme to tackle next. Check back tomorrow to see what I dream up. Until then, take care, and be at unity with both yourself and the cosmos. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Un-Unity { ; time=0:00:05.88--SF5 on a P200 reset=2004 type=unity passes=1 periodicity=none center-mag=0/0/0.6915629/1/135/-5.050126983261e-014 float=y maxiter=256 inside=0 outside=atan logmap=yes decomp=256 colors=0000004NG5LG5KH5JI5IJ5HK5FL5EM6DM6CN6BO69P6\ 8Q67R66S65SAAVEEYII_MMbQReUVgYZjablegoikrmotqswtwz\ szzszzszzszzswzstzstzsszsszsrysrxsrwsqvrqvrpvrpvrp\ urourournurnurntrmtrmtrltrltrltshrsepsbns_lsXjsUht\ RgtOetLctIatF_tCYt9Xt8Zu7av6cv6ew8fwAfwCfwEgwFgxHg\ xJgxLhxMhxOhyQiySiyTiyViyXjzZjz_jzakzckzekzfkyehye\ execxe`weYweWvdTvdRudOudLtdJtdGtdEleFdeFXfFPfFYLyY\ JyZIyZHy_Fy_Ey`Cy`Bya9ya8yb7yb5yc4yc2yd1yd0yc1vb2s\ a2pa3m`3j_4g_4dZ5aY6ZX6WX7UW7RV8OV8LU9ITAFSACSB9RB\ 6QC3QC1RE3SF4TG5UH7VI8VK9WLBXMCYNDZOE_PG_RH`SIaTKb\ ULcVMcWNeTOfQPhNQiKRkHSlFTnCUo9Vq6Wr3Xt0Yu0Ys1Wq3V\ o5Un7Tl9SjBRhDPgFOeHNcJMaML`OKZQJXSHVUGUWFSYEQ_DOa\ CNcBGIH90NB2OC6PEBQFFRGJSIOTJSULXVM`WNdWMeVLeVLfUK\ fUKgTJgTIgSIhSHhRHiRGiRFiQFjQEjPEkPDkOCkOClNBlNBmM\ AmMAmM9mL9mK9mJ9mI9mH9mG9mF9mE9mDBgBDa9EW8GQ6HL5HK\ 7HK9HKAHKCHKDHKFHKGHKIHKJ } END PARAMETER FILE=========================================

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Late FOTD (fwd)
by Rawzhuh 03 Jan '05

03 Jan '05

Am I the only one that keeps an "all in none" on my hard drive? If I were writing Jim's Column, that would be a link to a zipfile on the server he uses. ________ Mathematicians don't believe in a bigger half. Physicists can't avoid the bigger half. It always looks better on paper than in practice.

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FOTD 01-01-05 (Seahorse Elephants [5])
by Jim Muth 01 Jan '05

01 Jan '05

FOTD -- January 01, 2005 (Rating 5) Fractal visionaries and enthusiasts: Since today's FOTD is already well behind schedule, I will cut the discussion very short. The promised deep philosophy will hopefully appear in the next philofractal version of the FOTD. Today's hastily-found image is a scene deep in the East Valley of a large midget on the northwest shore of the main bay of the Mandelbrot set. But, looking at the image, I see more seahorse tails than elephant trunks, so I named it "Seahorse Elephants". Such an easily found image can hardly be great. I rated it at an average 5. The render time of a somewhat slow 14 minutes gives it an overall worth of a slightly-improved 36. The finished image may be found on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The sun did break through here at Fractal Central on Friday afternoon, and the temperature reached a high of a quite balmy 59F 15C. The fractal cats had a great day in the yard, though they grew cautious when a flock of about 20 crows descended to feast on some garbage that had spilled from a nearby trash can. (Cats of the fractal variety prefer their birds sparrow size.) Today looks like it will be another great one. The new year is getting off to a fine start for the dynamic duo. For me, it's an evening of watching the games on TV, and then exploring in Fractal Land. The next fractal will appear in 24 hours. Until then, take care, and keep taking care all the new year. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Seahorse_Elephants { ; time=0:14:02.12--SF5 on a P200 reset=2004 type=mandel passes=1 center-mag=-0.59633973190693720/+0.662725633386483\ 30/9.910374e+012/1.0000/-20/0 params=0/0 float=y maxiter=400000 bailout=9 inside=0 logmap=-6400 periodicity=10 mathtolerance=/1 colors=000ZllZmmbmmdmpcnrfovgpwjpzkMmeLm_LmVKmPKmK\ JmEJm9JnFHdLFVRDMUBCUA3HmZHmZKmZPmZUm_Zl_Uk_Pk`Kk`\ Ij`Ij`IjaJjaJhaJhaJhbJhbJgbJfbKfcKfcKecKedKedKddKc\ dLceLceLceLbeLbfLafMafM`gM`gM`gM`gM_hM_hN_hN_hNZiN\ ZiNZiNZiNYjOYjOYjOYkOXkOXkOXkPXlPWlPWlPWlPWmPVmPVm\ QVnQVnQUnQUnQUoQUoQToRToRTpRTpRSpRSpRSqSSqSRqSRrSR\ rSRrSQrSQsTQsTQsTPsTPtTPtTPtqAupBvpBwpBxpBypBzpBzo\ BzoBzoBzoBzoBzoCzoCznCz6Vz8Vz9YzB`zCczDfz9Sz5Uz1Wz\ 3Yz5_z7`z9azBbzCczEczGczIczKczLczOczRczTczWbzYZz`V\ zcQzeMzhIzjEzjEzjEzjFzjFziFziFziFziFziFziFziFzhFzh\ FzhFzhGzhGzhGzhGzgGzgGzgGzgGzgGzgGzn_zqbzpczpdzpez\ ofzofzogzohzniznjznjzmkzmlzmmzmmzllzllzkkzkkzjjzjj\ ziiziizigzifziezidziczibziazi_ziZziYziXziWziVziUzf\ TzdTzbSz`SzZSzWRzURzSRzQQzOQzLPzJPzHPzFOzDOzBOzAXz\ AdzAlzCkzEjzGjzIizKhzLhzNgzPgzRfzTezUezWdzYcz_czab\ zbbzRUzL`zFhz9oz3vzFozQiz } END PARAMETER FILE=========================================

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Late FOTD
by Jim Muth 01 Jan '05

01 Jan '05

Disappointed fractal enthusiasts: Due to an unexpectedly active and late evening, the FOTD for Jan. 1 will be late. Look for it within 12 hours. The continuation of the deep (IMHO) philosophy will have to wait until the Jan. 2 FOTD appears on the philofractal list. Sorry. Jim M.

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FOTD 31-12-04 (Eighteen [6])
by Jim Muth 31 Dec '04

31 Dec '04

FOTD -- December 31, 2004 (Rating 6) Fractal visionaries and enthusiasts: Today's image is a scene in the fractal world that results when various portions of Z^(-0.8) and Z^(1.4) are combined and (1/C) is added. I say the fractal world because the formula does not produce a single fractal. It produces an entire world of smaller individual fractals. Though the number of tiny fractals in today's world is infinite, there are two main Mandeloid fractals, surounded by considerable debris. Today's scene is near the point where the sprawling debris surrounding the large Mandeloid on the left bleeds into the Mandeloid on the right, which is surrounded by less fractal debris. To add a little extra sparkle to the image, I rendered it with the outside set to 'real'. The additional sparkle was enough to raise its rating to a respectable 6. When the render time of near 7-1/2 minutes is figured in, the overall worth registers an 81. The name I gave today's FOTD is "Eighteen", a name that has no relation whatsoever to the image. I chose the name because I was in an ambiguous mood at the time. The small task of rendering the image from the included parameter file may be avoided by downloading the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Due to another of those unexpected-work rushes, I have no time to philosophize today. But the philosophy will return, more intense than ever, in the philofractal version of tomorrow's FOTD discussion. The high temperature of 48F 9C and total lack of sun here at Fractal Central on Thursday made it a bit too chilly for the fractal duo to fully enjoy their time outdoors. They came inside in bad moods after only an hour in the yard, and demanded extra tuna, which, knowing the alternative, I gave them at once. The tuna did the trick, and they settled down side by side on the couch for a long nap. Today is starting cloudy again, but it is supposed to turn sunny and warmer by afternoon. (I'll believe it when I see it.) While waiting for the sun to appear, I'll finish the small bit of work waiting to be done, then set out for fractal land to see what lies there. The next FOTD will appear in 24 hours. Until then, take care, and be stoical. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Eighteen { ; time=0:07:25.50--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.15309530048864980/+0.263094172672526\ 40/3164517/1/-152.5/1.98736362089224627e-009 params=1.1/-0.8/-0.7/1.4/0/0 float=y maxiter=1000 inside=0 outside=real periodicity=10 colors=000mPVmPZkNbkNfiNkiNmmPioPfsPeuPbyPZzPXzPVz\ PTzPPzPNzPKzPIzPEzPCzPAzP8zmCzmEzmGzmEzmEzmCzmCwmA\ miAe`AXT8NK8EC664600400400400600800A02C08E0CG0II0P\ K0TN0ZP0bR0eT0fT0fT0iV0iV0kV0kV0mX0mX0oX0oZ0qZ0qZ0\ sZ0s`0u`0u`0wb0wb0yb0ybGk`ZX`oK`z6`z0`z0`z0Xz0Vz0T\ z0Rz2Pz6NzAKzEIzIEzNCzRAzV8zZ6zb4zf2zk0zo0zs0zw0zz\ 0zz0zz0zz0zz0I40K60K60K60K60K60K80K80K80N80N80N80N\ A0NA0NA0NA0NA0NA0V6C`DiZEkXFmVGmTHoTIoRJqPKrNMtKOu\ KQvISwGUyEWyCYzC_zAaz8cz6ez4gz4iz8kzAmwCkuEksIiqKi\ oNimPfkRfiVegXeeZbc`babb_f`Xi`PkZKmZAoZ0mX0kV0iV0f\ T0eT0bR0`R2ZP2XN4VN4TK4TK2PI2KI2GG2CE08E06C04C02A0\ 0A20840864EAAICGNEKRGTVI`ZKfbNofPwiRzkRzmRzoRzqRzs\ RzuRzwRzzRzwVzsXzoZzk`qfeibfZZiRZk`boiesqiuymyzqzz\ uzzzzzzzzzzzzzzzzzzzzzyzzwzzszzozzkzzfzzezy`ywXuuT\ sqRoqNkoIimEemA`m8Zm4Vo0Ro0Po0Tk2Vi8XeG`bNbZTeX`iT\ fwT0uT2uT6sRAsREqRIqRNoPR } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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Re: Visual BASIC runtime files
by JackOfTradeZ 30 Dec '04

30 Dec '04

The current version can be downloaded from my site, I have it there cause my programs are all VB6. The direct link is: http://www.sonic.net/~jot/vbrun60sp5.exe It is a self extracting file - just run it. About 1 meg download. JoTz

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FOTD 30-12-04 (The Pit [6])
by Jim Muth 30 Dec '04

30 Dec '04

FOTD -- December 30, 2004 (Rating 6) Fractal visionaries and enthusiasts: Today's image rates a 6 and is named "The Pit". I gave it this name when I had a vague impression of looking down into a pit while studying the image. The rating of a 6 seems fair. The parent fractal is no single fractal at all. It is a group of 2 large Mandeloids surrounded by fractal debris filled with baby M-sets. Today's scene is located in the East Valley of the large Mandeloid on the right. The rating of a nominal 6 and the render time of just under 11 minutes gives the image an overall worth of 55. Rendering may be avoided by downloading the completed GIF file from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The philosophy of the day appears in the philofractal version of this discussion. Warm sun and a temperature of 57F 14C made conditions near perfect for the fractal duo on Wednesday. The high point of their outing came when Tippy caught a late cricket on the porch and brought it to the door to show what he had done, while Thomas watched with little interest. Today is starting warm again, but the sun is lacking. We shall have to wait to see how the day goes for the duo. For me it looks like the usual routine of real work before fractal fun. The next fractal, along with more philosophical pontificating, will appear right here in only 24 hours. Until then, take care, and be of fractal cheer. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Pit { ; time=0:10:51.97--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.01619997589430272/-0.253819825669100\ 50/8.734958e+011/1/102.5/0 params=-1/1.2/2/-1.2/0/0 float=y maxiter=1200 inside=0 logmap=228 periodicity=10 mathtolerance=/1 colors=000IAAJAAKAALAAMAANAANAANCANEAOGAOIASJBXLBb\ OChRDmTDmXEm_FmcGlfHkiIklJjoKjrKkoNkmPlkRliUmgXme_\ mbbn`enZhoXkoVnoTqnYtmbwlgzklzjqzjvzhtzfszdqzbpzan\ z_myYkxWjwUhuTgsReqPdrNbsLatK`uOXvRUwVQxYNyaJzdGzh\ Czk9zf8zb7zZ6zV6zQ5zM4zI3zE3zBDz8Mz5Wz2dz0mz2Uz3Az\ 45z84zB4zE4zH4zK4zO3hR3hU3hX3h_3zc2zf2zi2zl2zo2zr2\ zp4zn6zl8zj9zhBzfDzdFzbGzeNzgUzi_zlfznlzpszryzafzL\ Pz57zA9zFBzJDzOFzSHzUIzVIzXIzYIzZIz`IzaIzcIzdIzeIz\ gIzhIzjIzkIzlIzlSzl`zlizlrziVzg8zeBzdDzcFzbHz`Kz_M\ zZOzYQzWTzVVzUXzTZzRazQczPezOgzFnz6tz0zz6zzGRzGSzG\ TzGUzGVzGWzGXzGYzGZzF_zEWzDVzCVzBVzAVz9Vz8Vz7Uz6Tz\ 5Sz4Rz3QzKPz`ZzqTzoSznSzlRzkRziQzhQzgQzePzdPzbOzaO\ z_NzZNzYNzVMzSMzPLzMLzJLzHKzEKzBKz8Jz5Jz3JzQdzlzzi\ uzvpzvkzvgzvbzvYzvUzvPzvKzvGzvJzvLzvNzvPzvRzvUzvWz\ vYzv_zvazvdzvfzvhzvjzvlzvizvgzvezvdzvdzvczvczvbzvb\ zvazvazv`zv`zv_zv_zv_zvVz } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 29-12-04 (Verdancy [4])
by Jim Muth 30 Dec '04

30 Dec '04

FOTD -- December 29, 2004 (Rating 4) Fractal visionaries and enthusiasts: To find today's image I checked the Z^(1.98)+C Mandeloid 3.1 levels up the logarithmic spiral. The parent fractal is a distorted Mandelbrot set with numerous splits along the negative real axis. Today's scene is located in a distorted valley of a large bud on the northwest shoreline of the main bay. For some reason now forgotten, I named the extremely busy image "Verdancy". The name is not really deserved, as the image has little resemblance to a lush forest. In fact, it is such a mish-mash of assorted and not-always-harmonious colors that I could rate it at only a 4. The not-exactly-fast render time of over 17 minutes raises this to a humble 23. But all is not lost, for the image has been pre-rendered and posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> from where it may safely be downloaded. <The philosophical part of this discussion has been omitted from the Fractint version, but it appears in the philofractal version.> Tuesday was chilly here at Fractal Central, but not as chilly as Monday had been. The high temperature of 36F 2C was just warm enough for the fractal duo to venture off the porch and spend over an hour checking the holly thicket. When they found nothing out of order, they returned inside to enjoy their treat of tuna. Today is starting notably milder. It should be a fine day for the duo. I continue to be asked if and when pictures of the dynamic duo of fractal cats will be posted. The problem is that my 25-year- old Pentax SLR film camera has stopped working and I have not found an opportunity, nor a good-enough reason, to purchase and learn to operate one of the 'new-fangled' electronic cameras. But one of these days I will do so, and the cats' pictures will be available for all the world to see. For me it looks like work for most of the day, then a trip to the land of fractals, where I will linger awhile to ponder deep philosophical things not necessarily designed to make people feel good. The image I find there will appear as tomorrow's FOTD. The thoughts will appear in the philofractal discussion. Until then, take care, and never stop searching. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Verdancy { ; time=0:17:23.70--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 periodicity=10 center-mag=-0.49203911917759770/+0.522166115275836\ 80/2411091/1/-67.5/-2.1590601288757e-007 logmap=360 params=1.98/0/3.1/0 float=y maxiter=3500 inside=0 colors=000K5BU5AT6AT69T79T79S88T88U98U97UA7VA6WB6X\ B6YC5ZC5_A2ZC5ZD7ZF9ZGCYIEYJGYLJYMLXONXPPXRSXSUWUW\ WVZWX`WYbWZdY_cZ_b``aaaacb`eb_fcZhdYjeXkeWmfWogVph\ UrhTtiSujRwkQxkQvhRteRrcRq`SoYSmWSkTSjQThOTfLTeIUc\ GUaDU_AUZ8VX5VV2VU0V`GNfVGlj8ry1sv3st4sr5sp7tn8tl9\ tjAthCtfDudEubGu`HuZIuXJvULvSMuQNtOPtMQsKRrISqGSpE\ PpCOoAPn8Pm6Ql4Rj5Ti6Uh7Ug8Vg9WhARcAV`BIbC_eD_eE`e\ FajGfeFbaE_YEXVDUSCRPCOMBLJAIHAGF9DD8A771D89G9FKAL\ NARRBXUCbXChYEgYFfZGeZIeZJd_Kc_Mc_Nb`Oa`Qa`R`aS_aU\ _aVZbWYbYYcZXc_WcaWdbVdcUdeUefTegSeiSfjRfkQflQdRFc\ 65b76b87b98aA9aBAaBB`CC`DD`ED`FE_GF_GGkHHZIIZJJZKK\ _4LZKKYZJYmIWlKVlLUkMTkNSjORjPQwQPpROhSNhTLhVKgWJg\ XIfYHfZGe_Fe`EdaDdbCdcDbbEabF`aF_aGZ`HY`HX_IW_JVZJ\ UZKTYLSYLRXMQXNPWNOWONVPMVSOUVQUYSU`UUcWUfYUi_UlaU\ ocUreUugUwhUxiUyjUzkUzlUzmUznUzoUzpUzqUzrUzsUztUzu\ UzvUzwUzxUzyUzzUzzUzzUzzU } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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Re: Nihilism
by JackOfTradeZ 30 Dec '04

30 Dec '04

To all the nihilists and wannabe suicides (I've been there and back): No matter how bad it gets, it is always worse in Hell or Cleveland. Count your blessings, make the best of what you have. Yeah - it's really tough here in USA, I wish I was in SriLanka right now ... The Universe is a giant Fractal! Spend your life exploring it, and give praise to it's Creator! Stay Amazed JoTz

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sorry.
by david lowenstein 29 Dec '04

29 Dec '04

sorry. ----- Original Message ----- From: <fractint-request(a)mailman.xmission.com> To: <fractint(a)mailman.xmission.com> Sent: Wednesday, December 29, 2004 9:19 AM Subject: Fractint Digest, Vol 22, Issue 12 > Send Fractint mailing list submissions to > fractint(a)mailman.xmission.com > > To subscribe or unsubscribe via the World Wide Web, visit > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > or, via email, send a message with subject or body 'help' to > fractint-request(a)mailman.xmission.com > > You can reach the person managing the list at > fractint-owner(a)mailman.xmission.com > > When replying, please edit your Subject line so it is more specific > than "Re: Contents of Fractint digest..." > > > Today's Topics: > > 1. Re: Jim Muth, since life gives you no meaning you should > killyourself. (jimmckenzie) > 2. Re: Jim muth is a nihilist. (Jim Muth) > 3. Fractosophy (Jim Muth) > 4. FOTD 28-12-04 (Seashore Seashells [7]) (Jim Muth) > 5. Jim Muth's FoTD Dec 28, '04 zoomed out to show the full > Mandelbrot-like shape (Hal Lane) > 6. FOTD 29-12-04 (Verdancy [4]) (Jim Muth) > > > ---------------------------------------------------------------------- > > Message: 1 > Date: Thu, 23 Dec 2004 19:57:54 -0500 > From: "jimmckenzie" <jimmckenzie(a)earthlink.net> > Subject: Re: [Fractint] Jim Muth, since life gives you no meaning you > should killyourself. > To: "Fractint and General Fractals Discussion" > <fractint(a)mailman.xmission.com> > Message-ID: <008701c4e953$9a31d150$b1f01743@jimscomputer> > Content-Type: text/plain; charset="iso-8859-1" > > WTF! > > ----- Original Message ----- > From: david lowenstein > To: fractint(a)mailman.xmission.com > Sent: Thursday, December 23, 2004 6:14 PM > Subject: [Fractint] Jim Muth, since life gives you no meaning you should > killyourself. > > > I should kill myself because I am a mixed race forever. -david > > > ------------------------------------------------------------------------------ > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint >

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Getting Microsoft Visual Basic runtime DLLs for Paste 'n' Go Utility
by Hal Lane 29 Dec '04

29 Dec '04

In my email entitled: [Fractint] Jim Muth's FoTD Dec 28, '04 zoomed out to show the full Mandelbrot-like shape I discovered that my email program did not properly handle inserting a web address into this email. Clicking on the web address for getting the Microsoft Visual Basic runtime DLLs does not work. I was able to get to the DLL download page by first going to: http://www.microsoft.com/downloads/Popular.aspx?DisplayLang=en&categoryId=10 and clicking on: "Visual Basic 6.0 Service Pack 5: Run-Time Redistribution Pack (vbrun60sp5.exe)" (item 19. in the list) to get to the download page. Also, you can go to http://www.microsoft.com/ and use the search function with the text: vbrun60sp5.exe to get to the download page. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.296 / Virus Database: 265.6.6 - Release Date: 12/28/04

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Jim Muth's FoTD Dec 28, '04 zoomed out to show the full Mandelbrot-like shape
by Hal Lane 29 Dec '04

29 Dec '04

#################################################### Jim Muth's FoTD for Dec 28, '04 text says: that the full basic Mandelbrot-like shape "...main bud faces north. This bud has undergone some curious distortions, with major discontinuities and several broad disconnected filaments shooting off in various directions." I wanted to see what he was describing so I repeatedly zoomed his fractal out until the full Mandelbrot-like shape was on the screen. I rotated the figure to better fit the screen and rotated the color map to suit my taste. The result is a pleasing variation of the original Mandelbrot set. The corresponding .par file is included below. I use Robin Bussell's free Paste 'n' Go utility to quickly launch the rendering of many of Jim's Fractals of The Day. Paste 'n' Go is a Windows(tm) program that, with one click, puts the contents of the Windows clipboard into a .par file and launches Fractint pointing to that file. It can even remove the "3D"s after equals signs with a single push of a button when you find them in certain older .par files. The program has additional useful features. I avoided using parameter and formula files with Fractint for a long time. When I got Robin's Paste 'n' Go program several years ago, these files became so easy to use I found that I was using them quite often. Note that if you put the text frm: in front of the formula file (as Jim does) that you can include the formula *inside* the .par file following the .par information. Having these four characters present allows you to avoid the additional step of separately pasting the formula into Paste 'n' Go's 'Formula Text' window. http://web.ukonline.co.uk/robin.b2/pastengo.htm has a screenshot, description of usage and download link for Paste 'n' Go. Recommended. Paste 'n' Go uses the Microsoft Visual Basic runtime DLLs. If you discover that you don't have these when you try to use Paste 'n' Go, the current self-extracting executable version of these files (1MB) is here: http://www.microsoft.com/downloads/details.aspx?FamilyID=ba9d7924-4122-44af- 8ab4-7c039d9bf629&displaylang=en I recommend using the current DLLs version (above) instead of the older version available on Robin's web page. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### START PARAMETER FILE======================================= SeashoreSeashells2 {; Hal Lane Dec 29,04 2:18 P400 1024x768 ; Jim Muth's FoTD Dec 28, '04 zoomed ; out to show the full basic Mandelbrot- ; like shape. Color map is rotated. reset=2004 type=formula formulafile=pastengo.par formulaname=mandelbrotbc2 passes=1 center-mag=-0.00189401/0.488882/0.8314187/1/-90/-1.2\ 3373533611470521e-014 params=2.02/0/77/0 float=y maxiter=1500 inside=0 proximity=3 outside=fmod periodicity=10 sound=off colors=000mmwkIz<4>mFzmFzmEznEznDzoCz<21>ogzoizojz<3\ >opyorxorxouxovxnxw<15>TifRheQgd<4>JdZIcYGcX<3>AaSD`\ V<8>CXUCWTCVT<58>3CI3BH3BH<2>3AH29G4AH<23>VRCWSCXTB<\ 3>aWAZWC<3>_cG_eH_gI`jK_gI<48>a8Ka7Ka6K<3>b3L<5>dN`g\ Zchbekhh } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE====================================== ######################################################## -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.296 / Virus Database: 265.6.6 - Release Date: 12/28/04

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FOTD 28-12-04 (Seashore Seashells [7])
by Jim Muth 28 Dec '04

28 Dec '04

FOTD -- December 28, 2004 (Rating 7) Fractal visionaries and enthusiasts: The FOTD returns with a burst of undersea glory! Today's 7-rated image is a scene in the Z^(2.02)+C fractal at a location 77 turns up the abstraction I call the logarithmic hyperspiral. At this lofty level the basic Mandelbrot shape has rotated 90 degrees, so that its main bud faces north. This bud has undergone some curious distortions, with major discontinuities and several broad disconnected filaments shooting off in various directions. Today's scene is located near the tip of one of these broad filaments. To bring some extra life to the image, I tried the various 'outside' options. With the proximity set at 3, the 'fmod' option seemed to work best, so that is what I used. Something about the image reminds me of a bed of shellfish, so I named it "Seashore Seashells" With its render time of 3+ minutes and its rating of 7, today's image has an overall worth of 211. Those who enjoy clams and oysters may see the undersea scene by running the included parameter file or by downloading the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> <At this point, three paragraphs have been cut from the Fractint version of today's discussion. However, they do appear in the philofractal version.> Chilly weather over the holiday weekend here at Fractal Central kept the cats' outdoor time limited to under an hour each day, but their moods remained surprisingly good considering the poor conditions. Today is again starting sunny and very cold, with a temperature of 18F -8C. It looks like a repeat. The weather may repeat, but fractals never repeat. The next one will appear right here in 24 hours. Until then, take care, and not only are we ignorant of the answers, we don't even know the questions. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Seashore_Seashells { ; time=0:03:19.11--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 periodicity=10 center-mag=+0.02170866032352817/+1.257911388964956\ 00/5.16379e+010/1/180 params=2.02/0/77/0 float=y maxiter=1500 inside=0 proximity=3 outside=fmod colors=000lIzlIzmHzmHzmGznFznFznEzoEzoDzpCzpDzpEzp\ GzpHzpJzpKzpMzpNzpPzpQzpSzpTzpVzpWzpYzpZzp`zpazpcz\ pdzpfzpgzpizpjzplypmypoyppyprxprxpuxpvxoxwnxvmwukv\ tjushtrgsqfrpdqocpnaol`nk_mjYliXkhVjgUifSheRgdQfcO\ eaNe`Ld_KdZJcYHcXGbWEbVDaUBaSE`VE`VE_VE_VEZVEZUDYU\ DYUDXUDXUDWTDVTDVTCVTCUTCUSCUSCTSCTSCTSBSRBSRBSRBR\ RBRRBRQBQQAQQAQQAPQAPPAPPAOPAOP9OP9NO9NO9NO9MO9MO9\ MO8LN8LN8LN8KN8KN8KM8JM7JM7JM7IM7IL7IL7HL7HL6HL6GK\ 6GK6GK6FK6FK6FJ5EJ5EJ5EJ5DJ5DI5DI5CI4CI4CI4BH4BH4B\ H4AH4AH39G5AH6BH7CH8CH9DGAEGBEGDFGEGFFHFGHFHIFIJFJ\ JEKKEMLENMEOMDPNDQODRODSPDTQCVRCWRCXSCYTBZTB_UB`VB\ bWA_WC_YD__E`aF`cG`eH`gIajK`gI`fI`eI`eI`dI`cI`bI`b\ I`aI``I`_I`_I`ZI`YI`YI`XI`WI`VIaVJaUJaTJaSJaSJaRJa\ QJaPJaPJaOJaNJaNJaMJaLJaKJaKJaJJaIJaHJbHKbGKbFKbEK\ bEKbDKbCKbCKbBKbAKb9Kb9Kb8Kb7Kb6Kb6Kb5Kb4Kc3Lc6Nc9\ QdDTdGVeKYeN`hZcibelhhnmw } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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Fractosophy
by Jim Muth 27 Dec '04

27 Dec '04

Fractal and philosophical visionaries: I have once again survived the Christmas holiday. I have yet to survive the New Year holiday, but compared to Christmas, New Year's Day is a minor event. The next FOTD will appear tomor- row, December 28, as originally scheduled. More good news is that my philosophical tendencies are waxing very strong, and in the upcoming discussions I will likely have much to say about everything from the nature of fractals to the meaning of life. Despite opinions to the contrary, I feel that life does have deep meaning. I must thank David Lowenstein for the letter that brought about this burst of energy. His claim a few days ago that I am a Nihilist who should kill myself really got me to thinking deep philosophical thoughts, and the Asian disaster came at just the right time to gave me the impetus I needed to put them into writing. So I'll see you in 24 hours with the next FOTD. Until then, take care, and if you are not subscribed to the philofractal list, be sure to subscribe soon. Jim M.

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Re: [Fractint] Jim muth is a nihilist.
by Jim Muth 24 Dec '04

24 Dec '04

At 03:09 PM 12/23/04 -0800, David Lowenstein wrote: <Body of message snipped> >Jim Muth is a nihilist. If this is true, it is good. Nihilists have nothing to complain about. ;-) (next FOTD in 4 or 5 days) Jim M.

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Jim Muth, since life gives you no meaning you should kill yourself.
by david lowenstein 24 Dec '04

24 Dec '04

I should kill myself because I am a mixed race forever. -david

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Jim muth is a nihilist.
by david lowenstein 23 Dec '04

23 Dec '04

Too sad! -david ----- Original Message ----- From: <fractint-request(a)mailman.xmission.com> To: <fractint(a)mailman.xmission.com> Sent: Thursday, December 23, 2004 8:52 AM Subject: Fractint Digest, Vol 22, Issue 10 > Send Fractint mailing list submissions to > fractint(a)mailman.xmission.com > > To subscribe or unsubscribe via the World Wide Web, visit > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > or, via email, send a message with subject or body 'help' to > fractint-request(a)mailman.xmission.com > > You can reach the person managing the list at > fractint-owner(a)mailman.xmission.com > > When replying, please edit your Subject line so it is more specific > than "Re: Contents of Fractint digest..." > > > Today's Topics: > > 1. FOTD 17-12-04 (Gift Wrappings [6]) (Jim Muth) > 2. FOTD 20-12-04 (Fractal Flight [5]) (Jim Muth) > 3. FOTD 21-12-04 (Otherworld Fractal [6]) (Jim Muth) > 4. FOTD 22-12-04 (Super Something [7]) (Jim Muth) > 5. FOTD 23-12-04 (Comb Filter [7]) (Jim Muth) > > > ---------------------------------------------------------------------- > > Message: 1 > Date: Fri, 17 Dec 2004 12:05:03 -0500 > From: Jim Muth <jamth(a)mindspring.com> > Subject: [Fractint] FOTD 17-12-04 (Gift Wrappings [6]) > To: fractint(a)mailman.xmission.com > Cc: philofractal(a)lists.fractalus.com > Message-ID: <1.5.4.16.20041217120654.2b7fe760(a)pop.mindspring.com> > Content-Type: text/plain; charset="us-ascii" > > > FOTD -- December 17, 2004 (Rating 6) > > Fractal visionaries and enthusiasts: > > The work is once again falling behind. This will make it > necessary for me to cut today's discussion short. The fractal > is a harmless one created by the MandelbrotMix4 formula, which I > have not used for several months. By setting the outside to > 'real' I was able to create the effect of gift-wrap ribbons, > inspiring the name "Gift Wrappings". > > The rating of a 6 indicates that I consider the image a little > above average. The calculation time of 4 minutes gives an > overall worth of 141. The image, for all it is worth, may be > seen without the need of running a parameter file by downloading > it from the FOTD web site at: > > <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> > > With a temperature of 46F 8C, Thursday afternoon was mild enough > for the cats to enjoy an hour in the yard. When they decided to > come in, they found the tuna waiting. All in all, it was a > pleasant day for the dynamic duo. Today promises to be even > milder, giving hopes of another pleasant day. > > For me the work is starting to pile up again, which will make it > necessary to miss a couple FOTD's, so until Monday the 20th, > take care, and be happy when things go right. > > > Jim Muth > jamth(a)mindspring.com > jimmuth(a)aol.com > > > START PARAMETER FILE======================================= > > Gift_Wrappings { ; time=0:04:15.79--SF5 on a P200 > reset=2004 type=formula formulafile=allinone.frm > formulaname=MandelbrotMix4 function=recip passes=1 > center-mag=-0.86475218508526370/+1.147793265057561\ > 00/1.340255e+007/1/-7.5/1.38198046488735571e-005 > params=0.1/-1.1/-1.1/1.1/0/0 float=y maxiter=1000 > inside=0 outside=real periodicity=10 > colors=0001dm4pt7cmARiDGdG4`K7ZNAZRBYVEYYHWaIWdLVg\ > NVdLTaLRZKRWKQTKOQIONINKHLHHLEHKBGI8GI5EH2EG0EG0DE\ > 0DD0DDarY`mTZjOZgKYdHYaDWZ8WW4VT1VQ0TN0TK0WH0YG0`E\ > 0aD0dB0eA1g82j74l57o48p1At0Bu0Ew0Gz0Hz0Iz0Lz0Nz0Oz\ > 0Qz0Rz0Qz0Oz0Nz0Nz0Lz0Kz0Kz0Iz0Hz0Gz0Gz0Ez0Dz0Dz0B\ > z0Az0AtDdaZzYWzTTzOQxKNwHKuHItHIpHHmIHkIHiIImINnHT\ > oGYpGYzKVoNLdRBVW2Ka0Ae00j00oK0t30xO0zT0zX1zT4zP5z\ > O8zVBz`DzeGzlHzrKzxLxwOxuRxtVwrYwpZwoaumdulgujiuil\ > uipugutexteztdztdzrazrZzrWurVprRlpOgpNcpKZpHVpEQpD\ > LoAHo7Do58o24o00o00m10m20m40m50m81mA1mB2mD4lE4lH5l\ > I7lK7lL8lNAlQAlRBjTDjVDjWEjZGj`GjaHjcIjdIdQZZBzV0z\ > W0zY0zY0zZ0zZ0z`0z`0za0za0zc0zc0zd0zd0ze0ze0zg0zg0\ > zi0zi0zj0zj0zl0zl0zj0zi0zg0zg0ze0zd0zd0zc0za1z`2z`\ > 4zZ5zY8zYAzWBzVDzVEzRGzQHzNIzLKzKLzIKtHKoGKlGKjEKi\ > DKeDKdBKcAI`AIZ8IW7IV7IT5IQ4IO4IN4KN4LN4NN4ON2QN2R\ > N2TN2VN2WN2WN05V05V0Ha0Tg } > > frm:MandelbrotMix4 {; Jim Muth > a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), > g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, > k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): > z=k*((a*(z^b))+(d*(z^f)))+c, > |z| < l } > > END PARAMETER FILE========================================= > > > > > ------------------------------ > > Message: 2 > Date: Mon, 20 Dec 2004 09:06:15 -0500 > From: Jim Muth <jamth(a)mindspring.com> > Subject: [Fractint] FOTD 20-12-04 (Fractal Flight [5]) > To: fractint(a)mailman.xmission.com > Cc: philofractal(a)lists.fractalus.com > Message-ID: <1.5.4.16.20041220090808.29d757b6(a)pop.mindspring.com> > Content-Type: text/plain; charset="us-ascii" > > > FOTD -- December 20, 2004 (Rating 5) > > Fractal visionaries and enthusiasts: > > For today's fractal we break out the MandelbrotBC2 formula, > which takes advantage of the multi-valued nature of the complex > 'log' function, and gets an infinity of fractals from formulas > that would seem limited to only one. > > The additional fractals are especially interesting when the > exponent of Z is set to a value between 1 and 2. Today's image > uses a value of 1.1 -- a value in the lower part of that range, > where the images explode in size as we travel up the logarithmic > spiral and the changes are the greatest. > > The parent fractal is an oversized thing resembling a dead bird > lying on its back, with its pointed bill facing upward. Today's > scene is located in the valley that forms the lower edge of the > bird's bill. Not wanting to make allusions to a dead bird in > the name of the image, I decided to name it "Fractal Flight". > > The question of whether fractals can fly is moot. Fractals are > abstractions, and abstractions can do anything we wish them to, > though usually they do nothing. > > In today's image I saw a flight of fractal somethings taking off > into a blue sky and vanishing beyond the upper left corner of > the frame. Perhaps they have been frightened by approaching > danger. (It is hard to imagine how a fractal could come to harm > however.) > > The 'objects' (if that's what they are) share a curious similar- > ity. In some ways they are alike; in other ways, each has a > character of its own. Even the larger groups of objects share > this partial similarity. The image is a true fractal. In it, > the same pattern is repeated again and again at the deeper > levels. Of course, the deeper we explore, the slower the calcu- > lation becomes. > > With nothing really exceptional to raise its rating, the scene > could be rated no higher than an average 5. Its render time of > almost 23 minutes gives it an overall worth of only 22. It is > still an interesting image to see however, and well worth the > small effort of downloading it from the FOTD web site at: > > <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> > > Heavy clouds, a chilly temperature of 36F 2C, and a cold rain > kept the duo indoors for the entire day on Sunday. Their moods > were surprisingly good considering their confinement. As night > fell, the rain changed to snow, which soon froze solid, making > for tricky walking and worse driving. When the duo saw the bad > conditions, they actually seemed glad to be indoors, where a > generous serving of tuna was available to assure their content- > ment. This morning is starting sunny, but with a temperature of > only +7F -14C and a wind of 20mph 30kph, I doubt that the duo > will want to go outside. > > The work is still heavy in my department, but I hope to squeeze > in a fractal or two before the day ends. The best of what I > find will appear as tomorrow's FOTD. Until then, take care, and > keep your cool when the snow falls. > > > Jim Muth > jamth(a)mindspring.com > jimmuth(a)aol.com > > > START PARAMETER FILE======================================= > > Fractal_Flight { ; time=0:22:55.83--SF5 on a P200 > reset=2004 type=formula formulafile=allinone.frm > formulaname=MandelbrotBC2 passes=1 > center-mag=+0.77134655541610010/+0.189518755374709\ > 60/3732.587/1/-12.5/-1.07880579469643578e-011 > params=1.1/0/23.8/0 float=y maxiter=3000 > inside=255 logmap=304 periodicity=10 > colors=000HHUJIULJTNKSPLRSMRVOQXPPZQO`RNbSNdTMfULh\ > VKjWKlXJoYIrZHs_Fr_Hp_Jn_Kl_Mi_Og_Pd_Rb_SZ_UX_WV_X\ > T_ZQ_`O_aM_cK_dL`eL`eM`eM`fN`fN`fN`gOagOagPahPahPa\ > hQahQaiRaiRbiRbjSbjSbjTbkTbkUbkUblUclVclVclWcmWcmW\ > cmXcnXcnYdnYdoYdoZdoZdp_dp_dp_dp_dp`ep`fp`gq`gqahq\ > aiqajrajrakrblrbmsbmsbnsboscpscptcqtcrtdstdsudtudu\ > udvuevvewvexveyveyvfurfqofmmfmmgmmgmmgmmgmmhmmhmmh\ > mmhmmhmmgmmfmmfmmemmemmdmmdmmcmmbmmbmmammamm`mm`mm\ > _mmZmmZmmYmmYmmXmmXomWqmWrmXqmYqmZqmZqm_qm`pm`pmap\ > mbpmbpmcomdomeomeomfomgnmgnmhnminminmjmmkmmlmmlmmm\ > mmnlmnlmolmplmplmokmnkmnkmmkmmkmlkmlkmkkmkkojkpikq\ > ikrhkshktgjugjvfjzfjxejydjzdjzcjzckzblzbmzanzaoz`p\ > z`qz_rzZszZtzNuzNuzNuzOuzOuzOuzOuzPuzPuzPuzQuzQuzQ\ > uzRuzRuzRuzSwzRvzRuzRtzRszRszQrzQqzQpzQpzQozPnzPmz\ > PmzPmzPmzOmzOmzQmzOmzLmzJmzHmzFmzDmzAmz8mz6mz4mz2m\ > z0mz3mz5mz7mz9mzBmzDmzFmz } > > frm:MandelbrotBC2 { ; by several Fractint users > e=p1, a=imag(p2)+100 > p=real(p2)+PI > q=2*PI*floor(p/(2*PI)) > r=real(p2)-q > Z=C=Pixel: > Z=log(Z) > IF(imag(Z)>r) > Z=Z+flip(2*PI) > ENDIF > Z=exp(e*(Z+flip(q)))+C > |Z|<a } > > END PARAMETER FILE========================================= > > > > > ------------------------------ > > Message: 3 > Date: Tue, 21 Dec 2004 12:34:25 -0500 > From: Jim Muth <jamth(a)mindspring.com> > Subject: [Fractint] FOTD 21-12-04 (Otherworld Fractal [6]) > To: fractint(a)mailman.xmission.com > Cc: philofractal(a)lists.fractalus.com > Message-ID: <1.5.4.16.20041221123618.29bff2e6(a)pop.mindspring.com> > Content-Type: text/plain; charset="us-ascii" > > > FOTD -- December 21, 2004 (Rating 6) > > Fractal visionaries and enthusiasts: > > WARNING -- I went beyond the topic in today's discussion, as I > occasionally do. The discussion is rambling and rather philo- > sophical. Those who have a 'knee-jerk' reaction to philosophy > or mysticism should move on directly to the image and spare > their knees. > > Depending on where the observer is located, today is either the > shortest or longest day of the year. For those living on the > equator however, where all days are 12 hours long, it is just > another 12-hour day, though it is still one of the two days of > the year with the lowest maximum sun angle. > > On a special astronomical day such as today, fractals are just > as real or unreal as on any other day. The position of the sun > has no connection to the world of fractals. This much everyone > can agree on. But do other universes exist where such a > connection might be possible? After all, the name of today's > image is "Otherworld Fractal", and I gave it this name because > it is unlike anything that might be seen in our familiar version > of the 'real' world. > > In the naive days of my youth, I was certain that there is only > one real world and that world was the one I had learned to con- > struct from the images I observed through my senses. Those who > thought otherwise were confused and superstitious. True, I > realized that my senses could detect only a tiny part of that > real world, but there was still only one real outer world, and > that world was the ultimate reality, which was out there whether > anyone was around to observe it or not. > > That was when I was young and naive. > > I am no longer young, though I am still rather naive, (aren't we > all), but I am not so naive as to believe that anything such as > an ultimate reality can exist unless one is referring to the > idea known as God. When one truly knows God, all questions > about creation and existence become non-questions. When one > asks why God created the universe, or where God came from, or > even what happens to people after they die, then that person > does not truly know the nature of reality. > > When one asks, or even wonders about such things, that person is > displaying his ignorance about both himself and the world he > assumes he exists in. When one flees from such questions into > the comfortable and easy-to-comprehend world of Atheism, that > person is merely showing the arrogance that conceals his fear of > the unknown. I know this because I was once there. When one > realizes that God is an idea, yet uses this fact as evidence > that there is no God, that person is closer to the truth. When > one realizes that the physical universe is also an idea, that > person is closer still. . . . > > . . . to be continued . . . perhaps . . . > > Just imagine it -- all this off-topic stuff came about because I > had the thought that today's image is a scene that could never > be observed anywhere in the universe as we know it. But it very > easily could exist in the world of fractals, especially the > world created by the formula Z^(1.1)+C. > > The rating of a 6 is about what the image is worth. Its overall > value could be anything, but calculates at a 90. The most > convenient way to see the otherworldly image is to download it > from the FOTD web site at: > > <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> > > With a temperature of only 19F -7C, Monday was far too cold here > at Fractal Central for the dynamic duo to go outside. But they > spent several hours on their shelf by the window, watching the > chilled starlings huddle around openings of the neighborhood > chimneys to keep warm. A surprisingly small serving of tuna was > needed in the evening to make the duo happy. This morning is > starting less cold, but still far from warm. We'll see how the > duo adjusts. > > For me it looks like another in the nearly endless string of > similar days of work before fractals. The next FOTD will appear > right here in 24 hours. Until then, take care, and be of good > cheer at this time of year. Save the mysteries for next year. > > > Jim Muth > jamth(a)mindspring.com > jimmuth(a)aol.com > > > START PARAMETER FILE======================================= > > Otherworld_Fractal { ; time=0:06:40.57--SF6 on a P200 > reset=2004 type=formula formulafile=allinone.frm > formulaname=MandelbrotBC2 passes=1 > center-mag=-2.14292936172586400/+0.027868278465541\ > 99/374.3557/1/7.5/5.92893789619353129e-012 > params=1.1/0/-28.3/0 float=y maxiter=500 > inside=255 logmap=77 periodicity=10 > colors=000K3HL4IM4JN5KO5LP6MQ6NR7OS4PT7QU9RVCSWETX\ > GUYJVZLW_OU`QTaSTbVTcXSd_SeaSfcRgfPhhOikNjmMkoKnrJ\ > qtIvyIswHqvHntGlsGirFgpFfoEdnEclDakD`jCZhCYgAXfFVd\ > KUcPSbURaZP`cO_cNZcLZcKZcIZcHZcFZcEZcBZcCZcDZcEZcF\ > ZcFZcGZcHZcIZdIZeJZfKZgLZhLZiMZjNZkOZlPZmPZnQZoRZp\ > SZqSZrTZsUZtVZuVZvWZzXZxYZyZZzZZz_Zz`ZzaZzaZzbZzcZ\ > zd_zd_ze_zf_zg_zh_zi_zh_zg_zg_zf_ze_zd_zd_zc_zb_za\ > _za_z`_z__zZ_zZ_zY_zX_zX_zW_zV_zU_zU_zT_zS_zR_zR`z\ > Q_zP`zO`zO`zN`zM`zL`zL`zK`zJ`zJ_zI_zH_zG_zG_zF_zE_\ > zD_zD_zC_zB_zA_zA_z9_z8_z7_z7_z6_z5_z3Zz4_z5_z5_z6\ > _z7`z7`z8`z8`z9azAazAazBazBbzCbzDbzDbzEczEczFczGcz\ > GdzHdzIdzIdzJezJezKezLezLfzMfzMfzNfzOgzOgzPgzPgzQh\ > zRhzRhzShzShzShzShzShzShzShzShzShzShzShzShzShzShzS\ > hzShzShzShzShzShzShzShzShzShzShzShzShzThzShzShzShz\ > ShzShzRhzRhzRhzRhzRhzQhzQhzQhzQhzQhzPhzPhzPhzPhzPh\ > zOhzOhzOhzOhzOhzPhzPhzPhz } > > frm:MandelbrotBC2 { ; by several Fractint users > e=p1, a=imag(p2)+100 > p=real(p2)+PI > q=2*PI*floor(p/(2*PI)) > r=real(p2)-q > Z=C=Pixel: > Z=log(Z) > IF(imag(Z)>r) > Z=Z+flip(2*PI) > ENDIF > Z=exp(e*(Z+flip(q)))+C > |Z|<a } > > END PARAMETER FILE========================================= > > > > > ------------------------------ > > Message: 4 > Date: Wed, 22 Dec 2004 11:59:23 -0500 > From: Jim Muth <jamth(a)mindspring.com> > Subject: [Fractint] FOTD 22-12-04 (Super Something [7]) > To: fractint(a)mailman.xmission.com > Cc: philofractal(a)lists.fractalus.com > Message-ID: <1.5.4.16.20041222120118.0d57799c(a)pop.mindspring.com> > Content-Type: text/plain; charset="us-ascii" > > > FOTD -- December 22, 2004 (Rating 7) > > Fractal visionaries and enthusiasts: > > In today's fractal we take a trip to the Z^(2.02)+C fractal. We > check it 20 levels up the logarithmic hyper-spiral. (Actually > the scene lies 16.858... levels up the spiral. The level > 3.14159... or 'pi' is better considered ground level.) The > formula is very close to that of the Mandelbrot set, and the > fractal it produces is very similar. But there are significant > differences. To start, the entire set appears rotated 30 > degrees. The greatest change however has taken place at the > north branch of Seahorse Valley, which has broadened into a > plateau with a spire at its inner edge. Today's scene lies on > the main-bay side of this spire. > > The midget I found there rates a lofty 7. I have never before > seen a midget with such intricate decoration surrounding it > unless it was produced by one of the fancy features of the > program, which I feel are somewhat artificial. By contrast, > today's scene, which was rendered with the outside set to the > standard 'iter', shows what is 'actually there'. I named the > image "Super Something", leaving it to the viewer to decide what > that 'something' is. > > Since the exponent of Z is fractional, discontinuities must > exist in the image, and indeed they are there. But with an > exponent so close to integer value, the breaks are minor, and > at first glance may go un-noticed. > > The rating of a 7 leaps to an overall worth of a rather > disappointing 47 when the render time of almost 15 minutes is > figured in. But the rendering may be eliminated entirely by > downloading the finished image from: > > <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> > > With a peak temperature of 39F 3C, Tuesday was hardly balmy here > at Fractal Central. But the dynamic cats, who had been confined > indoors for almost two days, were willing to ignore the minor > chill to enjoy an outing in the great outdoors of the holly > thicket, where they passed the afternoon pretending they were > stalking birds. Only a minor treat of tuna was needed to end > their day on an up note. This morning is starting sunny and > warmer, but rain is scheduled to move in before nightfall. > I see a hint of trouble for the fractal duo. > > For me, the pile of real work waiting to be done is minor. This > should assure another fine fractal in 24 hours, and maybe > another outburst of philosophy. Until then, take care, and > remember that, regardless of how much we learn, we will never > know more than an infinitesimal part of all there is to know. > > > Jim Muth > jamth(a)mindspring.com > jimmuth(a)aol.com > > > START PARAMETER FILE======================================= > > Super_Something { ; time=0:14:48.75--SF5 on a P200 > reset=2004 type=formula formulafile=allinone.frm > formulaname=MandelbrotBC2 passes=1 periodicity=10 > center-mag=-0.61120335469249380/+0.436965672671546\ > 70/6345769/1/-92.5/1.01919733624944e-008 logmap=215 > params=2.02/0/20/0 float=y maxiter=4200 inside=0 > colors=000W2RUE_SQhQaqPiyOhwNguMfsLeqKdoJcmIbkHaiG\ > `gF_eEZcDYaCX_BWYAVW9UU8TS7SQ6RO5QM4PK3OI2NG1ME0LC\ > 0KA0J80I60H40G25F0AE5EDAFCFGBKHAPI9UJ8WK7XgV9eUBcU\ > CaUE`UFZUGXUIWUJUUKSUMRUNPUPNUQMURKUTIUUHUVHQRIMNI\ > JKIFGIBCI78I45L58N6AP6DR7FT8HV8KX9MZAP`ARbBTdCWfCY\ > hD`jEblEdnFgpGirGksLgsQcsV_s_WsdStiOtnKtsGtxCtz9sz\ > 8sy8sw8su8ss8sr8sp8sm8sk8si8sg8se8sc8sa8sZ8sX8sV8s\ > U8tQDtNHtKLuHQuEUuBYLoUNmVPkWRiXSgXUeYWcZXaZZ__`Y`\ > aW`cUaeSbfRb_XdTaeMffFkg8ph2ui8vgEveKwdQwbWx`ax_gy\ > YmyWryVsvTstStqQtoPumOujMvhLveJwcIwaHsUJpMKmELj7Mf\ > 6Oc6P`6RY6SV5US5VP5XM5YJ5_G4`D4bA4c74e44f88eBBdEEc\ > IHbLKbONaSQ`VU_YXZa_ZdbYgeXkhWnkVqcVic_bccWchPclIc\ > qBcuCctDctEctFctGctHctIctIctJctKctLctMctNctOctOctP\ > ctQctRctSctTctUctUctZcnbcifcckcZocTscOccYbcWbcVacU\ > acT`cS`cR`cQjcDlcGmcIncLocNpcQqcSrcQrcOrcNrcLrcJgc\ > CfcEdcGccHbcJ`cL_cMYcOXcQ } > > frm:MandelbrotBC2 { ; by several Fractint users > e=p1, a=imag(p2)+100 > p=real(p2)+PI > q=2*PI*floor(p/(2*PI)) > r=real(p2)-q > Z=C=Pixel: > Z=log(Z) > IF(imag(Z)>r) > Z=Z+flip(2*PI) > ENDIF > Z=exp(e*(Z+flip(q)))+C > |Z|<a } > > END PARAMETER FILE========================================= > > > > > ------------------------------ > > Message: 5 > Date: Thu, 23 Dec 2004 11:52:10 -0500 > From: Jim Muth <jamth(a)mindspring.com> > Subject: [Fractint] FOTD 23-12-04 (Comb Filter [7]) > To: fractint(a)mailman.xmission.com > Cc: philofractal(a)lists.fractalus.com > Message-ID: <1.5.4.16.20041223115405.29d75974(a)pop.mindspring.com> > Content-Type: text/plain; charset="us-ascii" > > > FOTD -- December 23, 2004 (Rating 7) > > Fractal visionaries and enthusiasts: > > It's that time of year again, and I find myself with so much > work and so many things to do that I will have no spare time for > the FOTD for the next 3 or 4 days. The bad news is that there > will be no FOTD until December 27th or 28th. The good news is > that the FOTD will return at that time in its full glory, for > another year, or twenty-five years, of stunning fractal images > from nowhere. > > With today's image, I stayed with the Z^(2.02)+C fractal, but > examined it 154 turns up the hyper-spiral, where the figure is > rotated 180 degrees, so that East Valley now lies on the nega- > tive X-axis, where the most interesting discontinuities are > located. > > The inner details of this area are like nothing in the classic > M-set. They vaguely resemble the elephant-like shapes that > might be expected there, but are far more broken and chaotic. > The midget in today's image is a typical example of the dis- > order that exists in this part of the infinite-dimensional > land of fractals. > > I have named the image "Comb Filter" because some of the ele- > ments resemble coarse-toothed combs. (I am in no way an elec- > tronics technician.) The rating of a 7 seems fair, considering > the unusual nature of the image, which needed no program trick- > ery. The render time of just under 5 minutes raises the overall > worth to a rather impressive 143. > > The most convenient way to see the image is to download it from > the FOTD web site at: > > <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> > > An absolutely gorgeous day on Wednesday here at Fractal Central > resulted in angelic cats. The warm sun, light breezes, and > temperature of 61F 16F were just what the duo needed to ease > their disappointment over the recent cold spell. No tuna was > necessary to make them happy in the evening. Today is starting > mild but rainy. I hope the duo doesn't have too big a let-down. > > For me, it's finish the work then get ready for the holiday > craziness. As I said earlier, the next FOTD will appear in 5 > days on December 28, (maybe the 27th if things go well). Until > then, take care, and may Santa leave a real fractal, not just a > picture of one, in your stocking. > > > Jim Muth > jamth(a)mindspring.com > jimmuth(a)aol.com > > > START PARAMETER FILE======================================= > > Comb_Filter { ; time=0:04:53.58--SF5 on a P200 > reset=2004 type=formula formulafile=allinone.frm > formulaname=MandelbrotBC2 passes=1 periodicity=10 > center-mag=-0.26350487612601/+0.02105654396608012/\ > 1347270/1/-57.5/-2.69338237129934654e-009 logmap=79 > params=2.02/0/154/0 float=y maxiter=1200 inside=0 > colors=000H0RI0SI0UI0VK0WK0YL0_L0`M0cM0dM0eP0hP0jS\ > 0kS0nW0oU0qS0rR0sP0uO0rM0oK0nI0kH0hF0gE0dC0a90L70K\ > 60L40K21L11L01M04P06S07V0AY0C_0Ea0Fd0Ig0Kj0Lk0On0P\ > q0Rs0Su0Vs4Wr9YqF_oKanOclSdkYejagjejhkkgokeskdxlcz\ > nazn`zh_ze_zcYz_YyWYy_WxWWxUWwRWwMVuIVsEVn9Um4Ui0U\ > n0Un0Wo0Yt0`w1ax1dw2ev4gt6js7kq7no9onAqkCsjEuhExeF\ > ydHzcIz`Kz_KzYLzVMzUOzSOzUPzVRzVRzWSzWSzYUzYUz_Vz_\ > Vz`Wz`WzaYzc_zc_zd`zd`zeazeazgczgczhdzhdzjezjezedz\ > cdz_dsWdlUdePc`McUKcMFcFCc76`09c1Cd2Fe2Ig4Kj6Mk6Pl\ > 7Sn9Uq9WrA_sAauCdwEeyEhzFkzHnzHozIrzKuzKxzLzzHyzLs\ > zOnzShzVcz_YzaSzeMzhHzlAzo4zs0zz0zw0zr0wn0rj0ne0ja\ > 1eY1aU1YP2UL2PH2LE7OFCSIHVKLYMPaOUdPYgSakUenWjqYnu\ > `rxauzcqy`nxYjwVguUcsR`rOWqMUqKPrHMuFIxCFz9Az77z42\ > z10z04z27z6Az9EzCHzFKzHMzKPzMUzPWzS_zUazWdz_gzajzd\ > lzeSz0Uz0Uz0hz4hzzgzzezzezzUzzIzz6zy0zw`zazzIzzgIz\ > IEzFAzC7z94z61z20z00z00z0 } > > frm:MandelbrotBC2 { ; by several Fractint users > e=p1, a=imag(p2)+100 > p=real(p2)+PI > q=2*PI*floor(p/(2*PI)) > r=real(p2)-q > Z=C=Pixel: > Z=log(Z) > IF(imag(Z)>r) > Z=Z+flip(2*PI) > ENDIF > Z=exp(e*(Z+flip(q)))+C > |Z|<a } > > END PARAMETER FILE========================================= > > > > > ------------------------------ > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > > > End of Fractint Digest, Vol 22, Issue 10 > **************************************** >

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FOTD 23-12-04 (Comb Filter [7])
by Jim Muth 23 Dec '04

23 Dec '04

FOTD -- December 23, 2004 (Rating 7) Fractal visionaries and enthusiasts: It's that time of year again, and I find myself with so much work and so many things to do that I will have no spare time for the FOTD for the next 3 or 4 days. The bad news is that there will be no FOTD until December 27th or 28th. The good news is that the FOTD will return at that time in its full glory, for another year, or twenty-five years, of stunning fractal images from nowhere. With today's image, I stayed with the Z^(2.02)+C fractal, but examined it 154 turns up the hyper-spiral, where the figure is rotated 180 degrees, so that East Valley now lies on the nega- tive X-axis, where the most interesting discontinuities are located. The inner details of this area are like nothing in the classic M-set. They vaguely resemble the elephant-like shapes that might be expected there, but are far more broken and chaotic. The midget in today's image is a typical example of the dis- order that exists in this part of the infinite-dimensional land of fractals. I have named the image "Comb Filter" because some of the ele- ments resemble coarse-toothed combs. (I am in no way an elec- tronics technician.) The rating of a 7 seems fair, considering the unusual nature of the image, which needed no program trick- ery. The render time of just under 5 minutes raises the overall worth to a rather impressive 143. The most convenient way to see the image is to download it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> An absolutely gorgeous day on Wednesday here at Fractal Central resulted in angelic cats. The warm sun, light breezes, and temperature of 61F 16F were just what the duo needed to ease their disappointment over the recent cold spell. No tuna was necessary to make them happy in the evening. Today is starting mild but rainy. I hope the duo doesn't have too big a let-down. For me, it's finish the work then get ready for the holiday craziness. As I said earlier, the next FOTD will appear in 5 days on December 28, (maybe the 27th if things go well). Until then, take care, and may Santa leave a real fractal, not just a picture of one, in your stocking. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Comb_Filter { ; time=0:04:53.58--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 periodicity=10 center-mag=-0.26350487612601/+0.02105654396608012/\ 1347270/1/-57.5/-2.69338237129934654e-009 logmap=79 params=2.02/0/154/0 float=y maxiter=1200 inside=0 colors=000H0RI0SI0UI0VK0WK0YL0_L0`M0cM0dM0eP0hP0jS\ 0kS0nW0oU0qS0rR0sP0uO0rM0oK0nI0kH0hF0gE0dC0a90L70K\ 60L40K21L11L01M04P06S07V0AY0C_0Ea0Fd0Ig0Kj0Lk0On0P\ q0Rs0Su0Vs4Wr9YqF_oKanOclSdkYejagjejhkkgokeskdxlcz\ nazn`zh_ze_zcYz_YyWYy_WxWWxUWwRWwMVuIVsEVn9Um4Ui0U\ n0Un0Wo0Yt0`w1ax1dw2ev4gt6js7kq7no9onAqkCsjEuhExeF\ ydHzcIz`Kz_KzYLzVMzUOzSOzUPzVRzVRzWSzWSzYUzYUz_Vz_\ Vz`Wz`WzaYzc_zc_zd`zd`zeazeazgczgczhdzhdzjezjezedz\ cdz_dsWdlUdePc`McUKcMFcFCc76`09c1Cd2Fe2Ig4Kj6Mk6Pl\ 7Sn9Uq9WrA_sAauCdwEeyEhzFkzHnzHozIrzKuzKxzLzzHyzLs\ zOnzShzVcz_YzaSzeMzhHzlAzo4zs0zz0zw0zr0wn0rj0ne0ja\ 1eY1aU1YP2UL2PH2LE7OFCSIHVKLYMPaOUdPYgSakUenWjqYnu\ `rxauzcqy`nxYjwVguUcsR`rOWqMUqKPrHMuFIxCFz9Az77z42\ z10z04z27z6Az9EzCHzFKzHMzKPzMUzPWzS_zUazWdz_gzajzd\ lzeSz0Uz0Uz0hz4hzzgzzezzezzUzzIzz6zy0zw`zazzIzzgIz\ IEzFAzC7z94z61z20z00z00z0 } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 22-12-04 (Super Something [7])
by Jim Muth 22 Dec '04

22 Dec '04

FOTD -- December 22, 2004 (Rating 7) Fractal visionaries and enthusiasts: In today's fractal we take a trip to the Z^(2.02)+C fractal. We check it 20 levels up the logarithmic hyper-spiral. (Actually the scene lies 16.858... levels up the spiral. The level 3.14159... or 'pi' is better considered ground level.) The formula is very close to that of the Mandelbrot set, and the fractal it produces is very similar. But there are significant differences. To start, the entire set appears rotated 30 degrees. The greatest change however has taken place at the north branch of Seahorse Valley, which has broadened into a plateau with a spire at its inner edge. Today's scene lies on the main-bay side of this spire. The midget I found there rates a lofty 7. I have never before seen a midget with such intricate decoration surrounding it unless it was produced by one of the fancy features of the program, which I feel are somewhat artificial. By contrast, today's scene, which was rendered with the outside set to the standard 'iter', shows what is 'actually there'. I named the image "Super Something", leaving it to the viewer to decide what that 'something' is. Since the exponent of Z is fractional, discontinuities must exist in the image, and indeed they are there. But with an exponent so close to integer value, the breaks are minor, and at first glance may go un-noticed. The rating of a 7 leaps to an overall worth of a rather disappointing 47 when the render time of almost 15 minutes is figured in. But the rendering may be eliminated entirely by downloading the finished image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a peak temperature of 39F 3C, Tuesday was hardly balmy here at Fractal Central. But the dynamic cats, who had been confined indoors for almost two days, were willing to ignore the minor chill to enjoy an outing in the great outdoors of the holly thicket, where they passed the afternoon pretending they were stalking birds. Only a minor treat of tuna was needed to end their day on an up note. This morning is starting sunny and warmer, but rain is scheduled to move in before nightfall. I see a hint of trouble for the fractal duo. For me, the pile of real work waiting to be done is minor. This should assure another fine fractal in 24 hours, and maybe another outburst of philosophy. Until then, take care, and remember that, regardless of how much we learn, we will never know more than an infinitesimal part of all there is to know. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Super_Something { ; time=0:14:48.75--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 periodicity=10 center-mag=-0.61120335469249380/+0.436965672671546\ 70/6345769/1/-92.5/1.01919733624944e-008 logmap=215 params=2.02/0/20/0 float=y maxiter=4200 inside=0 colors=000W2RUE_SQhQaqPiyOhwNguMfsLeqKdoJcmIbkHaiG\ `gF_eEZcDYaCX_BWYAVW9UU8TS7SQ6RO5QM4PK3OI2NG1ME0LC\ 0KA0J80I60H40G25F0AE5EDAFCFGBKHAPI9UJ8WK7XgV9eUBcU\ CaUE`UFZUGXUIWUJUUKSUMRUNPUPNUQMURKUTIUUHUVHQRIMNI\ JKIFGIBCI78I45L58N6AP6DR7FT8HV8KX9MZAP`ARbBTdCWfCY\ hD`jEblEdnFgpGirGksLgsQcsV_s_WsdStiOtnKtsGtxCtz9sz\ 8sy8sw8su8ss8sr8sp8sm8sk8si8sg8se8sc8sa8sZ8sX8sV8s\ U8tQDtNHtKLuHQuEUuBYLoUNmVPkWRiXSgXUeYWcZXaZZ__`Y`\ aW`cUaeSbfRb_XdTaeMffFkg8ph2ui8vgEveKwdQwbWx`ax_gy\ YmyWryVsvTstStqQtoPumOujMvhLveJwcIwaHsUJpMKmELj7Mf\ 6Oc6P`6RY6SV5US5VP5XM5YJ5_G4`D4bA4c74e44f88eBBdEEc\ IHbLKbONaSQ`VU_YXZa_ZdbYgeXkhWnkVqcVic_bccWchPclIc\ qBcuCctDctEctFctGctHctIctIctJctKctLctMctNctOctOctP\ ctQctRctSctTctUctUctZcnbcifcckcZocTscOccYbcWbcVacU\ acT`cS`cR`cQjcDlcGmcIncLocNpcQqcSrcQrcOrcNrcLrcJgc\ CfcEdcGccHbcJ`cL_cMYcOXcQ } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 21-12-04 (Otherworld Fractal [6])
by Jim Muth 21 Dec '04

21 Dec '04

FOTD -- December 21, 2004 (Rating 6) Fractal visionaries and enthusiasts: WARNING -- I went beyond the topic in today's discussion, as I occasionally do. The discussion is rambling and rather philo- sophical. Those who have a 'knee-jerk' reaction to philosophy or mysticism should move on directly to the image and spare their knees. Depending on where the observer is located, today is either the shortest or longest day of the year. For those living on the equator however, where all days are 12 hours long, it is just another 12-hour day, though it is still one of the two days of the year with the lowest maximum sun angle. On a special astronomical day such as today, fractals are just as real or unreal as on any other day. The position of the sun has no connection to the world of fractals. This much everyone can agree on. But do other universes exist where such a connection might be possible? After all, the name of today's image is "Otherworld Fractal", and I gave it this name because it is unlike anything that might be seen in our familiar version of the 'real' world. In the naive days of my youth, I was certain that there is only one real world and that world was the one I had learned to con- struct from the images I observed through my senses. Those who thought otherwise were confused and superstitious. True, I realized that my senses could detect only a tiny part of that real world, but there was still only one real outer world, and that world was the ultimate reality, which was out there whether anyone was around to observe it or not. That was when I was young and naive. I am no longer young, though I am still rather naive, (aren't we all), but I am not so naive as to believe that anything such as an ultimate reality can exist unless one is referring to the idea known as God. When one truly knows God, all questions about creation and existence become non-questions. When one asks why God created the universe, or where God came from, or even what happens to people after they die, then that person does not truly know the nature of reality. When one asks, or even wonders about such things, that person is displaying his ignorance about both himself and the world he assumes he exists in. When one flees from such questions into the comfortable and easy-to-comprehend world of Atheism, that person is merely showing the arrogance that conceals his fear of the unknown. I know this because I was once there. When one realizes that God is an idea, yet uses this fact as evidence that there is no God, that person is closer to the truth. When one realizes that the physical universe is also an idea, that person is closer still. . . . . . . to be continued . . . perhaps . . . Just imagine it -- all this off-topic stuff came about because I had the thought that today's image is a scene that could never be observed anywhere in the universe as we know it. But it very easily could exist in the world of fractals, especially the world created by the formula Z^(1.1)+C. The rating of a 6 is about what the image is worth. Its overall value could be anything, but calculates at a 90. The most convenient way to see the otherworldly image is to download it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a temperature of only 19F -7C, Monday was far too cold here at Fractal Central for the dynamic duo to go outside. But they spent several hours on their shelf by the window, watching the chilled starlings huddle around openings of the neighborhood chimneys to keep warm. A surprisingly small serving of tuna was needed in the evening to make the duo happy. This morning is starting less cold, but still far from warm. We'll see how the duo adjusts. For me it looks like another in the nearly endless string of similar days of work before fractals. The next FOTD will appear right here in 24 hours. Until then, take care, and be of good cheer at this time of year. Save the mysteries for next year. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Otherworld_Fractal { ; time=0:06:40.57--SF6 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-2.14292936172586400/+0.027868278465541\ 99/374.3557/1/7.5/5.92893789619353129e-012 params=1.1/0/-28.3/0 float=y maxiter=500 inside=255 logmap=77 periodicity=10 colors=000K3HL4IM4JN5KO5LP6MQ6NR7OS4PT7QU9RVCSWETX\ GUYJVZLW_OU`QTaSTbVTcXSd_SeaSfcRgfPhhOikNjmMkoKnrJ\ qtIvyIswHqvHntGlsGirFgpFfoEdnEclDakD`jCZhCYgAXfFVd\ KUcPSbURaZP`cO_cNZcLZcKZcIZcHZcFZcEZcBZcCZcDZcEZcF\ ZcFZcGZcHZcIZdIZeJZfKZgLZhLZiMZjNZkOZlPZmPZnQZoRZp\ SZqSZrTZsUZtVZuVZvWZzXZxYZyZZzZZz_Zz`ZzaZzaZzbZzcZ\ zd_zd_ze_zf_zg_zh_zi_zh_zg_zg_zf_ze_zd_zd_zc_zb_za\ _za_z`_z__zZ_zZ_zY_zX_zX_zW_zV_zU_zU_zT_zS_zR_zR`z\ Q_zP`zO`zO`zN`zM`zL`zL`zK`zJ`zJ_zI_zH_zG_zG_zF_zE_\ zD_zD_zC_zB_zA_zA_z9_z8_z7_z7_z6_z5_z3Zz4_z5_z5_z6\ _z7`z7`z8`z8`z9azAazAazBazBbzCbzDbzDbzEczEczFczGcz\ GdzHdzIdzIdzJezJezKezLezLfzMfzMfzNfzOgzOgzPgzPgzQh\ zRhzRhzShzShzShzShzShzShzShzShzShzShzShzShzShzShzS\ hzShzShzShzShzShzShzShzShzShzShzShzShzThzShzShzShz\ ShzShzRhzRhzRhzRhzRhzQhzQhzQhzQhzQhzPhzPhzPhzPhzPh\ zOhzOhzOhzOhzOhzPhzPhzPhz } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 20-12-04 (Fractal Flight [5])
by Jim Muth 20 Dec '04

20 Dec '04

FOTD -- December 20, 2004 (Rating 5) Fractal visionaries and enthusiasts: For today's fractal we break out the MandelbrotBC2 formula, which takes advantage of the multi-valued nature of the complex 'log' function, and gets an infinity of fractals from formulas that would seem limited to only one. The additional fractals are especially interesting when the exponent of Z is set to a value between 1 and 2. Today's image uses a value of 1.1 -- a value in the lower part of that range, where the images explode in size as we travel up the logarithmic spiral and the changes are the greatest. The parent fractal is an oversized thing resembling a dead bird lying on its back, with its pointed bill facing upward. Today's scene is located in the valley that forms the lower edge of the bird's bill. Not wanting to make allusions to a dead bird in the name of the image, I decided to name it "Fractal Flight". The question of whether fractals can fly is moot. Fractals are abstractions, and abstractions can do anything we wish them to, though usually they do nothing. In today's image I saw a flight of fractal somethings taking off into a blue sky and vanishing beyond the upper left corner of the frame. Perhaps they have been frightened by approaching danger. (It is hard to imagine how a fractal could come to harm however.) The 'objects' (if that's what they are) share a curious similar- ity. In some ways they are alike; in other ways, each has a character of its own. Even the larger groups of objects share this partial similarity. The image is a true fractal. In it, the same pattern is repeated again and again at the deeper levels. Of course, the deeper we explore, the slower the calcu- lation becomes. With nothing really exceptional to raise its rating, the scene could be rated no higher than an average 5. Its render time of almost 23 minutes gives it an overall worth of only 22. It is still an interesting image to see however, and well worth the small effort of downloading it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy clouds, a chilly temperature of 36F 2C, and a cold rain kept the duo indoors for the entire day on Sunday. Their moods were surprisingly good considering their confinement. As night fell, the rain changed to snow, which soon froze solid, making for tricky walking and worse driving. When the duo saw the bad conditions, they actually seemed glad to be indoors, where a generous serving of tuna was available to assure their content- ment. This morning is starting sunny, but with a temperature of only +7F -14C and a wind of 20mph 30kph, I doubt that the duo will want to go outside. The work is still heavy in my department, but I hope to squeeze in a fractal or two before the day ends. The best of what I find will appear as tomorrow's FOTD. Until then, take care, and keep your cool when the snow falls. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Flight { ; time=0:22:55.83--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=+0.77134655541610010/+0.189518755374709\ 60/3732.587/1/-12.5/-1.07880579469643578e-011 params=1.1/0/23.8/0 float=y maxiter=3000 inside=255 logmap=304 periodicity=10 colors=000HHUJIULJTNKSPLRSMRVOQXPPZQO`RNbSNdTMfULh\ VKjWKlXJoYIrZHs_Fr_Hp_Jn_Kl_Mi_Og_Pd_Rb_SZ_UX_WV_X\ T_ZQ_`O_aM_cK_dL`eL`eM`eM`fN`fN`fN`gOagOagPahPahPa\ hQahQaiRaiRbiRbjSbjSbjTbkTbkUbkUblUclVclVclWcmWcmW\ cmXcnXcnYdnYdoYdoZdoZdp_dp_dp_dp_dp`ep`fp`gq`gqahq\ aiqajrajrakrblrbmsbmsbnsboscpscptcqtcrtdstdsudtudu\ udvuevvewvexveyveyvfurfqofmmfmmgmmgmmgmmgmmhmmhmmh\ mmhmmhmmgmmfmmfmmemmemmdmmdmmcmmbmmbmmammamm`mm`mm\ _mmZmmZmmYmmYmmXmmXomWqmWrmXqmYqmZqmZqm_qm`pm`pmap\ mbpmbpmcomdomeomeomfomgnmgnmhnminminmjmmkmmlmmlmmm\ mmnlmnlmolmplmplmokmnkmnkmmkmmkmlkmlkmkkmkkojkpikq\ ikrhkshktgjugjvfjzfjxejydjzdjzcjzckzblzbmzanzaoz`p\ z`qz_rzZszZtzNuzNuzNuzOuzOuzOuzOuzPuzPuzPuzQuzQuzQ\ uzRuzRuzRuzSwzRvzRuzRtzRszRszQrzQqzQpzQpzQozPnzPmz\ PmzPmzPmzOmzOmzQmzOmzLmzJmzHmzFmzDmzAmz8mz6mz4mz2m\ z0mz3mz5mz7mz9mzBmzDmzFmz } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 17-12-04 (Gift Wrappings [6])
by Jim Muth 17 Dec '04

17 Dec '04

FOTD -- December 17, 2004 (Rating 6) Fractal visionaries and enthusiasts: The work is once again falling behind. This will make it necessary for me to cut today's discussion short. The fractal is a harmless one created by the MandelbrotMix4 formula, which I have not used for several months. By setting the outside to 'real' I was able to create the effect of gift-wrap ribbons, inspiring the name "Gift Wrappings". The rating of a 6 indicates that I consider the image a little above average. The calculation time of 4 minutes gives an overall worth of 141. The image, for all it is worth, may be seen without the need of running a parameter file by downloading it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a temperature of 46F 8C, Thursday afternoon was mild enough for the cats to enjoy an hour in the yard. When they decided to come in, they found the tuna waiting. All in all, it was a pleasant day for the dynamic duo. Today promises to be even milder, giving hopes of another pleasant day. For me the work is starting to pile up again, which will make it necessary to miss a couple FOTD's, so until Monday the 20th, take care, and be happy when things go right. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Gift_Wrappings { ; time=0:04:15.79--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.86475218508526370/+1.147793265057561\ 00/1.340255e+007/1/-7.5/1.38198046488735571e-005 params=0.1/-1.1/-1.1/1.1/0/0 float=y maxiter=1000 inside=0 outside=real periodicity=10 colors=0001dm4pt7cmARiDGdG4`K7ZNAZRBYVEYYHWaIWdLVg\ NVdLTaLRZKRWKQTKOQIONINKHLHHLEHKBGI8GI5EH2EG0EG0DE\ 0DD0DDarY`mTZjOZgKYdHYaDWZ8WW4VT1VQ0TN0TK0WH0YG0`E\ 0aD0dB0eA1g82j74l57o48p1At0Bu0Ew0Gz0Hz0Iz0Lz0Nz0Oz\ 0Qz0Rz0Qz0Oz0Nz0Nz0Lz0Kz0Kz0Iz0Hz0Gz0Gz0Ez0Dz0Dz0B\ z0Az0AtDdaZzYWzTTzOQxKNwHKuHItHIpHHmIHkIHiIImINnHT\ oGYpGYzKVoNLdRBVW2Ka0Ae00j00oK0t30xO0zT0zX1zT4zP5z\ O8zVBz`DzeGzlHzrKzxLxwOxuRxtVwrYwpZwoaumdulgujiuil\ uipugutexteztdztdzrazrZzrWurVprRlpOgpNcpKZpHVpEQpD\ LoAHo7Do58o24o00o00m10m20m40m50m81mA1mB2mD4lE4lH5l\ I7lK7lL8lNAlQAlRBjTDjVDjWEjZGj`GjaHjcIjdIdQZZBzV0z\ W0zY0zY0zZ0zZ0z`0z`0za0za0zc0zc0zd0zd0ze0ze0zg0zg0\ zi0zi0zj0zj0zl0zl0zj0zi0zg0zg0ze0zd0zd0zc0za1z`2z`\ 4zZ5zY8zYAzWBzVDzVEzRGzQHzNIzLKzKLzIKtHKoGKlGKjEKi\ DKeDKdBKcAI`AIZ8IW7IV7IT5IQ4IO4IN4KN4LN4NN4ON2QN2R\ N2TN2VN2WN2WN05V05V0Ha0Tg } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 16-12-04 (Mandel's Zebra [4])
by Jim Muth 16 Dec '04

16 Dec '04

FOTD -- December 16, 2004 (Rating 4) Fractal visionaries and enthusiasts: The HyperMandelbrot formula seems to be running out of steam, or maybe it is me who finds himself faced with another oversized pile of real work, but whatever, I could rate today's image no higher than a 4. The scene pictured is that of a midget in the northwest quadrant of the M-set that has been filled in with what looks to me like zebra stripes. I produced the zebra stripes by entering an infinitesimal value as real(p3). This value is the square root of one-googol, and common sense says that it should have no visi- ble effect on the image. But in this case, as with relativity and quantum things, common sense leads to the wrong conclusion. (Could there be a cosmic connection here, or is the overworked math routine producing artifacts?) Like other hyper images, today's image makes little sense. I can see no apparent reason for the number of stripes in the various features of the midget. It probably has something to do with the iteration cycles, but if so, the relation is vague. I named the image "Mandel's Zebra" for obvious reasons. When adjusted for the render time of a little over 12 minutes, the rating of 4 gives the image an overall worth of 33 -- not great but not disgraceful either. All this rating stuff may be done away with by downloading the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> It was too cold on Wednesday for the fractal cats to stay outdoors more than 15 minutes. A temperature of 36F 2C might not seem like extreme cold to some, but the aging cats demand temperatures around 60F 15C before they can be comfortable. Needless to say, they got much evening tuna. This morning is starting with a temperature of 19F -7C. It does not look good for the duo. For me, it's a lot of work waiting to be done. I will try to have the next FOTD ready by post time tomorrow. If not, I'll post my alibi. Until then, take care, and search for the light in the night. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandel's_Zebra { ; time=0:12:12.38--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=HyperMandelbrot passes=1 center-mag=-0.58904759328465310/+0.441278420950176\ 70/6744.494/1/32.5/3.02411012897962905e-011 params=0/0/0/1/1e-050/0 float=y maxiter=2500 inside=0 logmap=-246 periodicity=0 sound=off colors=000W`dV_cUZbTYaSX`RW_QVZPUYOTXNSWMRVKQUJPTI\ OSHNRGMQFLOEKNDJLCIKBHJAGH9FG8FFDGGIHGNIHSJHXKHaLI\ fMIkNJpOJtPJpQLlRMiROeSPbTRZTSWUTSVVOVWLWYHXZEX`AY\ a7Yb`LYXRUTXRQbNMhJInFFtCGpBGmAGj9Gg9Gd8Ha7HZ7HW6H\ T5HQ5IO6IN7JM8JK9KJ9KIALGBLFCMECMDDNBENAFO9FO7GP6H\ P5IP4IQ5KQ6MR7NR8PR9QSASSBTTCVTDWTEYUFZUG`UHaVIcVJ\ dWKfWLgWMiXNjXOlXPmZUc_ZV`cMahDbm4XpCSsJMuQHxXCzcE\ v_GsWIpTNlUSiUXfUabUf_UkXUgYYdZ`aZdZ_gW`kT`nS_kRZi\ QZgPYeOYcOX`NXZMWXLWVKVTKVRJUOITMHTKGSIFSGFRDERBDQ\ 9CQ7BP5BP3LV7V_BkeEpkIvkLpiJgVIZLGRBFK2Eu`NpXQlUTg\ QWcNYZK`VGcQDeM9hH6kD3mF4kG4iI5hJ5fL6eM6cO7bP7`aMc\ cLddLdeKdfKdcPf`ThYXiV`kTdlVbhX`dZ_a`YYbWUdVRfTNhS\ KjQGlOCnN9pL5qK2uyHrwGpvGnuFltFjrFgqEepEcoEanD_lDY\ kDVjCTiCRgCPfBNeBLdBIcAGaAE`AC_9AZ98Y9CaFGdKJgQNjV\ Rn_UqeYtj`woVrhQmaLhVFcOAZH5UA0Q33P56O78O8BNAENCGM\ DJMFLLGOLIRKKTKLWJNYJOKll } frm:HyperMandelbrot {; periodicity must be turned off a=(p1),b=(0,0): q=sqr(a)-sqr(b)+pixel, b=(p2+2)*a*b+p3, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 15-12-04 (A New Dance [7])
by Jim Muth 15 Dec '04

15 Dec '04

FOTD -- December 15, 2004 (Rating 7) Fractal visionaries and enthusiasts: I was thinking of returning to the MandelbrotMix4 formula for today's fractal, but before I did, I decided to have another go at the HyperMandelbrot formula. In the end, I was glad I did. I found today's curious circular object at the center of a small bud on the southern shore of East Valley of the M-set. It is unlike anything that I know of in the classic Mandelbrot or Julia sets, which is why I named it "A New Dance". It is not surprising that the HyperMandelbrot set should hold new and unsuspected features. After all, the hyper-set is actually a 4-dimensional thing, with unlimited angles at which to cut 2-dimensional slices. Unfortunately, these slices will necessarily miss most of the HyperMandelbrot set. The most they can give in a single image is a vague idea of the richness that actually exists. When a 2-D slice passes close to an attracting element of the HyperM-set, the slice will be distorted by that element, giving the impression of a heavy cloth draped over what lies beneath. Today's image is composed mostly of such distortions. Many of the features in the hyper-vicinity are not in the image, but merely close to it, and those that pass through it, do so only coincidentally. Because it illustrates some truly new features, I rated today's image at a 7. It could just as easily have been rated at an 8. I was feeling conservative when I decided on the rating. When adjusted for the render time of 3-1/2 minutes, the rating adds up to an overall worth of 200. The image is available, already rendered, on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Brisk winds and a temperature of 39F 4C kept the fractal cats safely indoors on Tuesday. The duo actually seems to realize that winter has arrived, and there will be few pleasant outside days for the next few months. An extra serving of tuna assured their good moods. Today is starting sunny but even colder. And a few flurries of snow fell during the night. I hope the duo is as adjusted to indoor life as they seem. For me it looks like a day with an average amount of work. This means an early afternoon finish and several hours for fractals, the next of which will appear right here in 24 hours. Until then, take care, and how many Mandelbrot sets could fit on the head of a pin? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_New_Dance { ; time=0:03:30.49--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=HyperMandelbrot passes=1 float=y center-mag=+0.27135683244730280/-0.006228258974698\ 45/138988.3 params=0/0/0.9/0/1e-020/0 maxiter=1500 inside=0 outside=imag logmap=190 periodicity=0 colors=000TQ9SQASQBRRCRRDQRFQTGQTHQTIRTJRTLSTMRTNR\ TOQUPPURPVSOWTOXUNYVNZWP_YR`_TaaVbbWcdYdf_ehafibgk\ dhmfjnhkpjmrkntmouoqwqryrszonwmiukdsh_qfVocQmaLkZG\ iWBgU6eS0eU2cV4bW6aY8`ZA__CZaEYbFXcHVdJUfLTgNShPRj\ RQkTPlUOmWMoYLp_KqaJscIueHwgGzgHzhFORWMRTLRQJQNHQK\ GQHEQE7UADQCJNDOKEUGGZDHdAIi7JfBNdFQbIT_MWYQZWTbUX\ eR`hPckNgnHkuLjqOjmRjjUjfXjc_j_bjXeiThiPkiMniIqiFt\ iBzm5wi8tfAqbCn_FkXHhTJeQLbNO_JQXGSUDVR9XO6ZL0ZM3`\ N6aN9bOBcOEdPHeQKfQMgRPhRSiSVkTXlT_mUbnUeoVgpWjqWm\ rXpsBkcXrt1u`3o_5j_7eZ9`ZBWYDRYFMXHHXJCWI6ZK7WM7UN\ 7SP7PR8NS8LU8IW8GX9EZ9B`99_32a97bECcJHeOMfTRgZWic`\ jhekmjjwrlrnmmjohfpcbqZZsUVtPRvHLuKOuMRtOTtRWsTZwY\ bsV`qRapS_oSZnTYmTXlUWlUVkVTjVSiWRhWQgXPeTKgXOh_Si\ cWjf_kjclmgmpknnhnmenlbnj_niXnhUnfRnePndMnbJnaGn`D\ nZAnY7oV4nX5nZ6m`7mb8ld8lf9khAljBmkBmmCmoDmqEmsEmu\ FmwGmyHmzHmzFmzDmzCmzAmz7 } frm:HyperMandelbrot {; periodicity must be turned off a=(p1),b=(0,0): q=sqr(a)-sqr(b)+pixel, b=(p2+2)*a*b+p3, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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A different coloring for Jim Muth's FoTD Dec 12, '04
by Hal Lane 14 Dec '04

14 Dec '04

########################################################### A different coloring for Jim Muth's excellent Dec 12, '04 Fractal of The Day using Damascena Korwen's Leather Gem color map. I have slightly modified her color map by removing a sharply contrasting band and rotating it. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### START PARAMETER FILE======================================= Unexpected_Thing2 { ; Hal Lane Dec 14,'04 3:51 P400 ; Jim Muth's FoTD 04-12-14 with ; Damascena Korwen's Leather Gem ; color map - rotated. 1024x768 reset=2004 type=formula formulafile=pastengo.par formulaname=hypermandelbrot passes=1 center-mag=-1.74896259724242200/+0.01377009011611315\ /1.0152e+010/1/-67.4999713964596708/6.29184219225753\ 516e-005 params=0/0/-4.18/0/1e-015/0 float=y maxiter=500 inside=0 logmap=129 periodicity=0 sound=off colors=YD0fM5<3>iO5jP5kQ6<9>UB3S92Q82<3>I10931A00<3>\ VK0_P0dU0<3>zm0<3>zb0z_0zX0zU0<3>`F0UC0O80H40<2>A477\ 3A73C<3>56K47M48O39Q2AS<8>9QaASbATc<3>E`hFbiGdi<3>Jk\ lKmmJkj<7>CURBSOAQM<3>6GB5E86G9<9>EWHFYIGZJ<2>JdMKfN\ LhM<5>bmDenBhoA<3>ts3wt1sr2<5>Zf8Vd9SbA<3>DVF<4>CPCC\ NBCMA<2>BI9BH8BH8<3>AE79D6DE6<3>UI9YJAaLBeMCgODjQF<3\ >nXFoZGp`G<2>seG<15>dL4cK3bI2aH1`F0`F0<5>UA0T90S80R8\ 0Q70P60<3>L30K30J20I10I10<16>UB2UB2VC2<3>YE3<3>Q82O6\ 1M41<5>S91 } frm:HyperMandelbrot {; periodicity must be turned off a=(p1),b=(0,0): q=sqr(a)-sqr(b)+pixel, b=(p2+2)*a*b+p3, a=q, |a|+|b| <= 100 } END PARAMETER FILE========================================= ########################################################### --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com) Version: 6.0.813 / Virus Database: 553 - Release Date: 12/13/04

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FOTD 14-12-04 (The Unexpected Thing [7])
by Jim Muth 14 Dec '04

14 Dec '04

FOTD -- December 14, 2004 (Rating 7) Fractal visionaries and enthusiasts: Another busy day today will keep the discussion short. Today's image is a new distortion of the midget that appeared in yesterday's FOTD image. But whereas yesterday's distortion was expected, today's is totally unexpected. I named it "The Unexpected Thing". The color palette, which gives the impression of a colorful midget remnant sitting isolated in the midst of a vast grey wasteland, is unusual enough to earn the image a rating of a 7. The relatively brief render time of 2 minutes raises this to an overall worth of 334. The scene may be seen ;-) by running the parameter file or by downloading it from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Brisk winds and a chilly temparature of 43F 6C kept the fractal cats confined to the porch on Monday. Needless to say, tuna was needed. Today is starting even chillier. More tuna is likely to be needed. Incredibly enough, the non-fractal work, though heavy, is still caught up. To no one's surprise, the secret is to not let it fall behind. The fractals are doing rather well also, and the next one will appear in 24 hours. I might return to the M-Mix4 formula, or I might stay with the HyperMandelbrot. Until then, take care, and are fractals animal, vegetable, or mineral? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= TheUnexpectedThing { ; time=0:02:05.56--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=HyperMandelbrot passes=1 center-mag=-1.74896259724242200/+0.013770090116113\ 15/1.0152e+010/1/-67.5/9.84929290117411704e-005 params=0/0/-4.18/0/1e-015/0 float=y maxiter=500 inside=0 logmap=129 periodicity=0 colors=000myzlxzkvzjtyirvgpsdmqbjn_glYdiVagTZdQWaO\ T_LQXJNVGKSEHQBEKAAA0004DY2Ei0EsAFoJFiSFj`GkiGlrGm\ fPaWYRLgFAp4Er6It8LvAOxKJzVOSVSYWXcW`hWelVinUnqTrq\ TnpVknXhlZej_agaZecWcdTafQ_hMXjJVkGTmDRoAPp8Qi7Rc6\ RY5SZ4Sc6Vh8Xm9ZrB`zCbzJVtQNoWGlb8hh1cf1`d1Yb1V`1S\ Z1PX1NV1KT1HR1EP1BN18L15J13R56Y89dBCdFBdIBdLBdPBdS\ AdVAdZAhaAmd9rh9vk9zn9vkBriDmgEheGccH_aJZ_KZXMYVNX\ TPWRQWPSVNTULVUJWVKVWLUWLTXMSYNRYNQZOPZOP_PO`QN`QM\ aRLbSKbSJcTIcTIcULcSKdQJdOIdMHeKGeIFeHEbKD`NCYPBVS\ ATU9QX8OZ7QX6SW6UU5WT5YR5_Q4aO4cN4eL3gK3iI3kH2mF2o\ E2jD6fCAbBDYAHUALQ9OL8SH7WD7ZGA_ID_KG`MJ`OMaQPaSSb\ UVbXYbZ`c`ccbfddidflehoejregpfengclh`kiZijXgkVelSd\ mQbnO`oM_pOYqQWrSUrUSsVQtXOtZMu`KvbIvcGweExgCxiAyj\ 8yjBvjDtjFqjIojKljMjjPgjRejTceUe`UfWUgRUhVVeYWbaX_\ dXXhYUkZRo_Or_LnUSjOYfIcbCi_7o`AoaFobKocPocUocZocc\ occoccoccoccoccoccoccocco } frm:HyperMandelbrot {; periodicity must be turned off a=(p1),b=(0,0): q=sqr(a)-sqr(b)+pixel, b=(p2+2)*a*b+p3, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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Re: [Fractint] OT: Fractint Archives from Lurker?
by Vortex Swirling 14 Dec '04

14 Dec '04

Never mind on this one. I just did a date based search and downloaded each thread with a download manager. It didn't take long and now I can look at each thread locally. Still not as convenient as just downloading a monthly based text file. Roger >I've got a little bit of a problem. I've been saving the Fractint daily >digests from the new mail list service since last September when it >changed. The idea was that when I stopped procrastinating, I would create >the mail list par and formula files as I have been for posting on Les St >Clairs site. > >The problem is, as I've been cleaning out my Eudora attachments I've been >inadvertently trashing the daily digests. So now the only way I might be >able to get those is going through each posting and thread and they aren't >chronological. With the old mail list service I used to just download the >text based archives and edit those directly. Is there anything like that now? > >The only other solution I can think of is that if someone did keep the >daily digests up to now might be able to salvage them for me? > >Roger -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.296 / Virus Database: 265.5.0 - Release Date: 12/9/2004

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FOTD 12-12-04 (The Craziest Midget [8])
by Vortex Swirling 14 Dec '04

14 Dec '04

Jim, This one is wild. So unique, if you ever wanted to give one a 10 this could have been one of them. -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.296 / Virus Database: 265.5.0 - Release Date: 12/9/2004

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FOTD 13-12-04 (The Expected Thing [4])
by Jim Muth 13 Dec '04

13 Dec '04

FOTD -- December 13, 2004 (Rating 4) Fractal visionaries and enthusiasts: I'm a bit behind in the real work today, so the discussion will be short. Today's image shows what happens to a sub-midget on a filament of the large midget at -1.75,0 of the M-set when the real(p3) parameter is changed very slightly from 0,0. The result is two midgets that are seen partially overlapping -- just what would be expected, which is why I named the image "The Expected Thing". The fiery red colors have no special signifi- cance. The color palette is simply the one that I happened to find first. The 'expected thing' is worth a rating of no more than 4, but the render time of just over 2 minutes raises the overall worth to a respectable 167. The image may be seen by running the attached parameter file or by downloading it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Partly cloudy skies and chill, 48F 9C, winds kept the cats snug indoors for all but a brief 20 minutes here at Fractal Central on Sunday. They seemed to understand that I was not respons- ible, and were in surprisingly good moods. I gave them extra tuna as a reward. Today is starting sunny, but the chill winds are still blowing, and even colder air is on the way. The cats' moods will once again be tested. For me, the work is rather heavy, but well within the range of being finished in time for tomorrow's fractal, which will likely be a return to the MandelbrotMix4 formula, one that I have not used in over 2 months. Until then, take care, and conspire with fractals, but don't get caught doing it. A fractal is hard to keep in jail. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Expected_Thing { ; time=0:02:23.46--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=HyperMandelbrot passes=1 center-mag=-1.74896259724174100/+0.013770090116703\ 98/1.034694e+010/1/-67.5/5.275598745684007e-005 params=0/0/0/0/10e-012/0 float=y maxiter=1200 inside=0 logmap=133 periodicity=0 colors=000j04h05g05e06c07b07`08Z09Y09W0AU0BT0BR0CP\ 0DO0DM0EK0FG0GJ0FM0FP0FS0FU0EX0E_0Eb1Ed2Dg3Dj4Dm5D\ o6Cr5Cu4Cx3Cz2CxBDvKEtTEraFpjGonFnqForGopGonHomHok\ IoiIohIofJodJobKoaKo_LoYLoXLoVMoTMoRNoQNoOOoMOoLOm\ NPlPPkQPjSPiUPhVPgXPfZPe_PdaPcbPbdPafP`gP_iPZkPYlP\ XnPWpPVqPUsPXtCVuJTtPRsWPraNqgLpnJotPrpWppInzJowKo\ uLpsMpqMpnNqlOqjPqhQrfQrcRsaSs_TsYUtWUtTVtRWuPXuN_\ yJXuLVrNTnPRkROhTMcVKZXMUYIPZBKUCFTDATECTEDTFFTGGT\ HHTHJTIKTJMSKNSKPSLQSMRSNTSNUSOWSPXSPYSWQ_aIfgAnm3\ uk4si5qg5oe6mc7ka7i_8gY9eW9cUAaSB_QBZOCXMDVKDTIERG\ FPEFNCGLAHJ8HH6IF4JD3JC4IE4IG5II5IK6IM6HO6HP7HR7HT\ 8HV8GX9GZ9G`9GaAGcAFeBFgBFiCFkCFm6Fq8GpAHoCInEJmGK\ mILlJMkLNjNOjPPiRQhTRgSSjTThUUgUVfVWdWXcWYbXZ`Y__Y\ `ZZaX_bWTcUXdV_eVbfWfgWihXliXpjYskYklremoanr`oo`pl\ _qj_rgZseZtbZu`YvYYwWXxTXyRWzOWzMWzJVzHVzEUzCUz9Tz\ 7Tz4Qz1Tz2Wz3Zz3az4dz5lz3 } frm:HyperMandelbrot {; periodicity must be turned off a=(p1),b=(0,0): q=sqr(a)-sqr(b)+pixel, b=(p2+2)*a*b+p3, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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OT: Fractint Archives from Lurker?
by Vortex Swirling 13 Dec '04

13 Dec '04

I've got a little bit of a problem. I've been saving the Fractint daily digests from the new mail list service since last September when it changed. The idea was that when I stopped procrastinating, I would create the mail list par and formula files as I have been for posting on Les St Clairs site. The problem is, as I've been cleaning out my Eudora attachments I've been inadvertently trashing the daily digests. So now the only way I might be able to get those is going through each posting and thread and they aren't chronological. With the old mail list service I used to just download the text based archives and edit those directly. Is there anything like that now? The only other solution I can think of is that if someone did keep the daily digests up to now might be able to salvage them for me? Roger -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.296 / Virus Database: 265.5.0 - Release Date: 12/9/2004

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HyperMandelbrot formula
by Jim Muth 12 Dec '04

12 Dec '04

At 11:49 AM on 11/29/04 I wrote: >>(The hypercomplex Mandelbrot formula has the >>same parameter limitation, though in that case >>I have written my own formula that includes >>some of the missing parameters and draws some >>very curious and interesting images.) Hiram Berry replied: >By all means please post it! Here is my reworking of the Hypercomplex Mandelbrot formula. When (p1) and (p2) are kept at 0,0 the third parameter draws the same hypercomplex images as the hard-coded formula when the function is set to 'sqr'. The included parameter file gives an example of some of the unexpected things the formula does. I have barely tapped the potential of this formula. Jim M. START PARAMETER FILE======================================= Hyper-Mandelbrot { ; time=0:00:31.59--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=HyperMandelbrot passes=1 center-mag=-0.56964/0/0.8503401 params=0/0/3/0/\ 1e-010/0 float=y maxiter=1000 bailout=9 inside=0 logmap=yes symmetry=none periodicity=none colors=000dIPbGT`EWdDcgCjkBln2mp8nqDnsJitOeuU`wZWx\ dRyiNweHudCsc6qb1oaZm`nk`ii`dg``e`WcbRabN__MYWMWRL\ UMLSHLQDKO9KM5KKAOKERQIUWMXaR`gVcmZfrbinWmjQqfJubD\ x`Gv_JuZLsYOrWRpVToUWnTZlR`kQciPfhOhgQgdSfaUfZWeWY\ dT_dQacNbcLeXFcYGaYH`ZHZZIX_JW_JU_KS`LR`LPaML`QNaN\ MbNKbOkcEhbFfbGdbHbbI_bIYbJWbKUbLRbLPbMNbNLbOCtKEq\ LFnMGkMHhNIeOAxjCtfDpbFmZGiVIeRJcAJbEJbHJbLjOUfQTc\ SS`TSYVRVXQSYQP_PMaOX6uUCoSHiQNdNSZLYTHZvI`sIbpIdm\ IfjIhgIjdJiaJhZJfWJeTJcQqF`mIZjKYfNXcPV_RUXUTTWRQZ\ QM`PvewrdsndojdlfchbceZcaVbYRbVNbRJF7JRGkKOiMOgNOe\ OOcQOaRO_SOYTOWVOUWOSXOQYOO_OM`OKaOPpTOoSOnSNmSNlU\ NkXMj_MibLheLghLfkKenKdqJctJbwF9zGEzHIzHMzIRzIVzJZ\ zt9zpCzmEzjHzgJzdMzaOzYRzVTzSWzPYzM`zCpzDnzElzFkzG\ izGhzHfzIezJczchz`hzZhzXhzUhzShzQhzNhzLhzVhzQhzPhz\ OhzOhzNhzNhzMhzLhzLhzKhzKhzJhzFhzGhzGhzGhzHhzHhzHh\ zIhzIhzIhzJhzJhzkhzihzghz } frm:HyperMandelbrot {; periodicity must be turned off a=(p1),b=(0,0): q=sqr(a)-sqr(b)+pixel, b=(p2+2)*a*b+p3, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 12-12-04 (The Craziest Midget [8])
by Jim Muth 12 Dec '04

12 Dec '04

d FOTD -- December 12, 2004 (Rating 8) Fractal visionaries and enthusiasts: The HyperMandelbrot formula continues to amaze me. Todays image shows the same midget that appeared in the FOTD for December 9, the 'Hyperbrot Junior' fractal. Or perhaps I should say it shows the area where the 'junior' once existed. The mid- get itself has basically vanished, leaving behind only a tangle of twisting tendrils. I named these leftovers "The Craziest Midget" because they show the craziest thing to happen to a midget that I have ever come upon. To begin the craziness, check your assumption that there are 16 partially overlapping tendrils leading toward the remains of the midget. Count them and you will find only 14. (I have no idea what happened to the other two, but most likely the 14 tendrils are a reflection of a period-14 iteration cycle.) To continue the craziness, look at what once was a perfect minibrot midget. I admit that we are not seeing it sliced in a critical plane, but who ever saw a non-critical midget fill with tendrils and change into almost a delicate flower. Midgets simply erode away in an irregular and not particularly attrac- tive manner when we slice them farther from the critical plane. But then, this is a 'hyper' Mandelbrot set. The image changes dramatically as the real(p2) parameter is slightly changed. And the remains of the midget also hold their position on the screen, making the scene a good candidate for a short animation. I used no fancy program features to create the image, only the standard equal-iteration bands with the inside set to black. The rating of an 8 reflects my surprise at seeing what happened to the midget as well as my opinion of the artistic merit of the image. When the 15-minute render time is taken into considera- tion, the overall worth registers a nominal 52. To see the curious midget, run the included parameter file or download the image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The rain ended at noon here at Fractal Central on Saturday, but the clouds hung on for most of the afternoon, and the tempera- ture reached only 52F 11C. When the wind arose, the fractal cats decided that they had had enough, and hurried back inside to get warm and enjoy their tuna. This morning is starting partly cloudy and chilly. The cats will likely find some fault with the day. For me the day looks slow, which is how I am learning to like it. Lots of spare time means lots of time for fractals, the next of which will appear right here in only 24 hours. Until then, tale care, and watch the fractals grow. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_CraziestMidget { ; time=0:15:28.91--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=HyperMandelbrot center-mag=-0.74865642436084960/+0.084463614790886\ 82/4.364803e+007/1/177/1.89370992914605907e-008 params=0/0/0.105/0/1e-015/0 float=y maxiter=10000 inside=0 logmap=300 periodicity=0 colors=000JP8JR7KS7JT3KU7LVALWDMYGN_KN`NObQ8bJOcTc\ dacdjSmkUllWkoYjq_itxQ0wR0vS0uT0tU0sV0rW3qX6pY9oZM\ n_Om`RlaSkbTjbUiaVfaWd`Xc_YbZZaY_`Y`_YaZYbYYcXYdWY\ eUXgRWjPVmNUoQUnSUmVUlXUk_WjaZjbakcdkdgldjlemmfpmg\ tnfwmexldwkcwjbviauh`vg_wlZwgYwbXwZWvaVudUtgUsjXrm\ aqpgprmormnpmmnmljmkbhjZciIOZK9OLKRNVUPbVTdXQeZOg_\ MhaKicHkdFlfDmfCmgBeeAYc9Oc5Qa8S_BUZEWXHYVKZUKZUNh\ 1jh3gh5eh6cb8aXA_UDaPKYDNZIQUNTQSWLUZFXZHSNINJKIEL\ D9N40K95PEAUIFZNJcSOiWTo`Yud`zb_x`_t_WoYUiWTaVK_WH\ WYETkJRwKQzfPWQPXTOYWNZZN_aM`dLagLbjKcnJdrJdsJduJd\ vJhwJmwKrwLvxMzzNzzOzzPzzQzzQzyRzzczzSzzTzzUzzVzzW\ zzWzzXzzYzzZzz_zz`zzazzazzbzzczzdnZeoYfoYgoXhpWhpW\ ipVjqUkqUlrTmrSnrRnsRosQpsPqtPrtOsuNtuMtuMuvLvvKwv\ KxwJywIzlxQmwRmvSmuTmtUnsUnrVnqWnpXooYonYomZom_pl`\ pkapjapibphcqgdqfdqeeqdfrcgrbhrbhrais`js_ksZlsYltX\ mtWntVotUotTpuSquSruRsuQs } frm:HyperMandelbrot {; periodicity must be turned off a=(p1),b=(0,0): q=sqr(a)-sqr(b)+pixel, b=(p2+2)*a*b+p3, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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Re: [Fractint] Fractint and Freedos
by Vortex Swirling 12 Dec '04

12 Dec '04

This sound very cool until you need to go read/write. As soon as you need a Dos partition you might as well boot from that. When my Zip drive still worked I booted from floppy disk and then used the Zip drive for Fractint. That worked very well and the zips i/o was actually fairly worthy. My pipe dream is to have my DVD-RAM drive look like a hard drive to Dos. I don't know if its possible. In any case, in order to run Fractint from a Dos environment, I need to dedicate my machine to that or have another machine just for that (which I don't at present). But the ultimate boot disk is cool, I'm going to have to make me one of those! Roger -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.296 / Virus Database: 265.5.0 - Release Date: 12/9/2004

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FOTD 11-12-04 (Brot Rising [8])
by Jim Muth 11 Dec '04

11 Dec '04

FOTD -- December 11, 2004 (Rating 8) Fractal visionaries and enthusiasts: I have always enjoyed pictures that show imaginary but possible scenes on other planets circling other stars. Today, thanks to the HyperMandelbrot formula, we have a star-like 'brot' rising above the floor of an imaginary valley on an imaginary planet in Fractal Land. After a bit of consideration, I named the image "Brot Rising". The word 'brot' does not refer to food. It is a word I invented to describe a fractal feature that shows the typical Mandelbrot- type buds and is likely to hold intact midgets. True, the bud in today's image is partly concealed by exotic alien clouds, and I doubt that it holds any intact midgets, but it comes close enough to the shape of a Mandel bud to earn its name. The scene itself exists in the four-dimensional hypercomplex Mandelbrot set, which itself is a single four-dimensional slice of an eight-dimensional monstrosity known as the hypercomplex Julibrot figure. Unlike the more familiar four-dimensional Julibrot, parts of which I can visualize, this Julibrot is totally beyond my woefully limited power of visualization. But a bit of rather simple math will show that through any of its points there passes: 1 stand-alone 0-dimensional point 8 mutually perpendicular 1-dimensional lines 28 mutually perpendicular 2-dimensional planes 56 mutually perpendicular 3-dimensional spaces 70 mutually perpendicular 4-dimensional spaces 56 mutually perpendicular 5-dimensional spaces 28 mutually perpendicular 6-dimensional spaces 8 mutually perpendicular 7-dimensional spaces and 1 stand-alone 8-dimensional space The series reminds me of Pascal's triangle. The image rates an 8, mostly because I like other-worldly scenes. It renders in 2 minutes, which is fast enough to earn it an overall worth of 393. It may be donwloaded in somewhat less time from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The temperature reached 50F 10C, but persistent light rain fell all day Friday here at Fractal Central. The cats passed the day alternating between sleeping on the couch and sitting on their shelf by the window, watching the rain. Extra tuna kept them happy. This morning is starting cloudy with more rain. The day probably will go no better for the dynamic duo. For me, the day appears as though it will be slow, which only increases the chances of a great fractal for tomorrow's FOTD. Check then to see how great. Until next time, take care, and rise with the buds. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Brot_Rising { ; time=0:02:01.99--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=HyperMandelbrot passes=t periodicity=0 center-mag=-0.166657/0/5.940446/1.1211/-90/3.88578\ 058618804789e-016 params=1.03/0/5/0/1e-008/0 float=y maxiter=2500 inside=255 logmap=yes colors=000FJHHGHJEHKBHL9HPHHRJHULHWOHZRHaVHdZHfaHi\ eIlhJolJqoJ9NcAMcBLcCKcDJcEIcFHcGGdHFeIEfJDgKChLBi\ LAjL9jK8jL9jMAjMAjNBjNCjOCjPDjPDjQEjQFjRFjSGjSGjTH\ jTIjUIjUJjVJjWKjWLjXLjXMjYMjZNjZOj_Oj_Pj`PjaQjaRjb\ RjbSjcSjcTjdUjeUjeVjfVjfWjgXjhXjhYjiYjiZjj_jk_jk`j\ l`jlajmbjmbjncjocjodjpejpejqfjrfjrgjshjshjtijuijuj\ jvkjvkjwljwmjwljwljwljwliwkiwkhwkgwkgwkfwjfwjewjdw\ jdwjcwicwibwiawiawi`wh`wh_whZwhZwhYwgYwgXwhXwhWwiV\ whVwhUwiUwiTwiSwiSwiRwiRwiQwiPwiPwiOwiOwiNwiMwhMwh\ LwhLwhKwhKwiLwiMwiMwiNwiOwiOwjPwjPwjQwiRwiRwiSwhSw\ iTwiUwiUwhVwhVwhWwiXwiXwhYwhYwhZwh_wh_wi`wi`wiawib\ whbwhcwhcwidwiewiewifwifwigwjhwjhwjiwjiwjjwjkwjkwk\ lwklwkmwknwknwkowkowkowlowlowlowmpwmpwmqwnqwnrwnrw\ oswoswotwptwpuwpuwqvwqvwqwwrwwrxwrxwsywsywszwszwsz\ wszwszwszwszwtzwtzwtzwtzwuzwuzwuzwuzwuzwuzwuzwuzwu\ zwuzwuzwuzwuzwuzwuzwuzzz` } frm:HyperMandelbrot {; periodicity must be turned off a=(p1),b=(0,0): q=sqr(a)-sqr(b)+pixel, b=(p2+2)*a*b+p3, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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Fractint and Freedos
by Tim Wegner 11 Dec '04

11 Dec '04

There was some talk about running Fractint from a boot cd. I recall that someone created such a CD, can anyone remind me? I tried the following. 1. Created a DOS partition on my Windows XP. Put fractint on it. 2. Downloaded an ISO image version 3.1 of the ultimate bootcd (see www.ultimatebootcd.com) and burned it on a CD. Fits on one of those tiny sized CDs. 3. Booted CD, which gives you a menu of a plethora of high powerewd utilities. Pressed F6 (boot disks) and then F1 (freedos). When freedos boots, there are some options for more aggressive or more defensive configuration. The default option hung on my Athlon machine, but "more defensive" worked. After it booted, I cd'ed to the DOS partition. Fractint ran great. I abandoned my ATI video board and replaced it with an Nvidia Geforce model because Nvidia has much better VESA support. By this approach you can run Fractint forever, as long as you have a DOS partition to save images and hardware that still supports DOS. Wouldn't be too hard to add fractint to the ultimatebootcd. Could include anything that could fit on a 2.88 mb "floppy". Probably also wouldn't be too hard to make a CD that boots right into Fractint, though you'd lose the ability to edit fractint.cfg Tim

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Re: [Fractint] An Ultimate Par File Collection?
by Vortex Swirling 10 Dec '04

10 Dec '04

Paul, I hope I'm not duplicating your efforts. So far all I've done is eliminate binary duplicates. I've also determined authorship of most pars and moved them into named sub-directories. When I look further into the pars files then I will know where to start looking in previous collections. That plus the ability to search within par files comes in handy. However, this isn't something that is going to get done soon I'm afraid especially with the holidays approaching. O's pars will add to the list if allowed to publish. I have close to 1700 maps of which about 700 are dups. Those I left alone since they don't take up much space and most are in established collections already. Some are intermingled in the pars but a simple file find will reveal them. Roger -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.289 / Virus Database: 265.5.0 - Release Date: 12/9/2004

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FOTD 10-12-04 (The New East [6])
by Jim Muth 10 Dec '04

10 Dec '04

FOTD -- December 10, 2004 (Rating 6) Fractal visionaries and enthusiasts: Strange things are happening in a certain East Valley. We have always known that elephants lurk there, but what has happened in the East Valley of the midget that appeared in yesterday's image? Today's image is a blow-up of that valley. The valley itself enters the frame at center right. But it never terminates. Instead of coming to the expected sharp point, the valley smears out and breaks apart into a comb-like series of sub-valleys that appear to be converging on a point near the center left of the frame. They would reach the point if I had given them enough iterations. There also appears to be a bud of some sort partially hidden beneath the comb-valleys. Unfortunately, even the maxiter of 16000 falls far short of fully defining this vague feature. The unusually smooth coloring is a result of the convoluted boundaries of the iteration bands, which reflect the East Valley character of the part of the midget in which they exist. The name "The New East" does not refer to an emerging third- world country in the Eastern Hemisphere. It tells that such a scene in the East Valley area of a midget is new. (At least I have never before observed such a scene.) The rating of a 6 is a bit above average. It's not really a great image, and much of its impact is due to the color map I gave it. Unfortunately, it is a very slow image, mostly due to the necessity of turning off the periodicity checking when using the HyperMandelbrot formula. As a result, the overall worth comes in at a paltry 6-1/2. But relief can be found on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the image, which I sent on ahead, is waiting for download. Morning clouds led to steady afternoon rain here at Fractal Central on Thursday. The fractal cats had no time at all out- side, which left them quite testy. Luckily, the frequent treats of tuna and turkey kept their sullen moods within bearability. This morning is starting cloudy and wet. It looks like another bad day for the duo. I managed to clear out the unexpected job by mid-afternoon on Thursday, leaving time enough to find today's fractal. (Since the image is a blow-up of a part of yesterday's fractal, the search was not a difficult one.) The rest of today looks to be on the slow side, which can only mean a good fractal for the next FOTD. Until that time arrives, take care, and I am, there- fore I think. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_New_East { ; time=1:31:23.32--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=HyperMandelbrot passes=1 center-mag=-0.74865643015637660/+0.084463614436210\ 81/3.442205e+009/1/176.999998805285543/-1.61460920\ 61228301e-005 params=0/0/0.0125/0/1e-015/0 float=y maxiter=16000 inside=0 logmap=-1500 periodicity=0 colors=000eTKfUKfUKgVKhVKiWKjWKkXKlXKmWJmWJnWInWHn\ WHoVGoVFpVFpVEqUDqUDqUCrUBrUBsTAsT9tT9tT8tT8sUCsUG\ rUKrUOqTSqSWpR_pQcoPgoOknNonMrmLrmKrlJrlIrkHrkJrjK\ rjLriNriOrhPrhRrgSrgTrfVrfWreXreZrd_rd`rcbrccrbdrb\ fragrahr`jr`krZjy`lrbnkdpefrZhtSkyLivMhsMgqMfnNekN\ ciNbfOacO`aO_ZOZWPXUPWRPVOQUMQTJQE7CLCJSHQYLXdQcjU\ oiTniTniSliSkhSjhRhhRghQfhQegQegPegPdgOdfOdfOcfNcf\ NcfMbeMbeMbeLaeLadMceLafK`gK_hJZhJXiIWjIVkHUlHTlGR\ mGQnFPoFOpENpELqDKrDJsCIsCHqJJqOJoPKmQLkRLjSMhTMfU\ NeVOcWOaXP`XPZYQXZRV_RU`SSaSQbTPcUNdULeVKeVIfWGgXE\ hXDiYBjY9kZ8l_6m_4n`1oa3n`5m`7l`9k_Bj_Di_Fh_GgZIfZ\ KeZMdZOcYQbYSaYU_VT`YTa_TbaSccSdfSehRfjRglTimRhnQh\ nPhoOhoNgoMgpKgpJgpIfqHfqGfqFfrEerCerEfsGgsIhsKitM\ jtOkuQlvSmwUmwWmwYmw_mwamwcmwemwgmwimwkmwmmwomwqmw\ smwumwvmwwmxxmxymxzmxzmyzmyzmyzmyzmzzmzzmzzmzznzzo\ zzpzzqzzrzzszztzzuzzvzzwz } frm:HyperMandelbrot {; periodicity must be turned off a=(p1),b=(0,0): q=sqr(a)-sqr(b)+pixel, b=(p2+2)*a*b+p3, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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Re: [Fractint] An Ultimate Par File Collection?
by Vortex Swirling 09 Dec '04

09 Dec '04

Hee hee... that's what most people think. But why not? This is the Internet after all. I actually got the moniker from something completely benign. As for the ultimate par file collection, I grabbed the two other sets on Paul's site. I then expanded everything I have, and those and with a duplicate finder eliminated exact duplicate files. However, there are many that differ by just one byte that don't get picked up this way. The result is having to examine quite a few files by hand which I haven't yet done. Plus many pars are actually in the Discussion List collection but that is at a level hard to detect other than by brute force. I decided to let previous collections like the spanky "Various Artists", Jo Webers Compuserve collection, Fracxtr6, and the Discussion list intact so there will remain a few duplicates within those but not many. One thing which is of issue is that some Pars refer to a specific map which doesn't exist and Fractint chokes. Rather than amass a map collection, might it not be better to notify the default map is used instead and show the fractal anyway? Roger >On Fri, 26 Nov 2004, Vortex Swirling wrote: > >An alias that reminds me of how interested >Gremlin used to be in the toilet. -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.289 / Virus Database: 265.4.7 - Release Date: 12/7/2004

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FOTD 09-12-04 (Hyperbrot Junior [7])
by Jim Muth 09 Dec '04

09 Dec '04

FOTD -- December 09, 2004 (Rating 7) Fractal visionaries and enthusiasts: I'm in a bit of a rush this morning, stuck with an unexpected large job and a customer who needs it sooner than immediately. So today's discussion is brief and late. Today, we continue studying the 'HyperMandelbrot' formula, which draws slices of the Mandelbrot figure created by 4-part hypercom- plex numbers. In Mandel-type fractals, the distortions of the midgets often mirrors that of the parent fractal. While explor- ing the HyperMandelbrot fractal yesterday, I wondered if the cor- responding distortions were true of this fractal also. I found that it is partly true. The midget in today's image does not show the appearance of its parent, the parent is a perfect Mandelbrot set, but it does show what will happen to the parent fractal when the parameter values are farther removed from zero. The midget's plight also makes a rather striking image, aided in a large degree by manipulation of the colors on my part. The de- tail on the inside of the midget is not inside stuff made visible by an active inside fill. It is true high-iteration outside stuff, and can be zoomed in on like any other 'outside' feature. I named the little midget "Junior", and the image, "Hyperbrot Junior." The rating of 7 means I consider the image to be above average. The render time of 8 minutes gives the picture an overall worth of 86 -- not bad for a picture of a typical midget lying in Seahorse Valley. All this may be seen by running the included parameter file, or by downloading the finished GIF image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The Wednesday weather was absolutely perfect here at Fractal Central, with warm sun, moderating winds, and a temperature of 61F 16C. Needless to say, the cats were ecstatic. In fact, it took a surprise serving of tuna to lure them back inside when the sun went down. But this morning is starting cloudy, with a forecast of rain. Things do not look good for the dynamic duo. For me it's more of the usual. The next fractal will appear in 24 hours. Until that hallowed moment arrives, take care, and be at ease. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Hyperbrot_Junior { ; time=0:08:08.18--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=HyperMandelbrot passes=1 inside=0 center-mag=-0.7486564238863157/+0.084463614911547\ 23/3.10774e+007/1/177/0 params=0/0/0.0125/0/1e-015\ /0 float=y maxiter=10000 logmap=300 periodicity=0 colors=000iPFlXMpdSslZqmdonghhjbblWXoPRrJLtCFw69yA\ EwEIuINtKMrMLqOKoQJnSIlUHkWGi_FgaEecDcdCceBceAcdDc\ cGccJcaNc_QdYSgWVkUYnS`rQcuOfsNiqTkoYmmZmk_mi_mgYm\ eWmcUmaSm_QmYOmWMlULkSKjQOhPSgSVfVZdZbcafadi`gm_jq\ YmsXpuVpsVppUnlTlhSieRgaQeYPbUP`QOZNNWJMUFLSBKP7KN\ AMMDOLGQKJSKMUKPWKSYKV_KWaKYcK_dKaeKcdKecKfaKi_KlZ\ KoXKqWKmUKjSKgQKcOK`MKYLJXOIWRIVUHUXHT_HSbGReGQhGP\ kFOnFNqFMtELwELwEMvIMtLMqONnSNlVNiYNf`OcdO`gOZjOWm\ PTqPQtPNwPLzQKwSJrVImWHhYGccKZkNUoQPsUKxXFzXAsX8lU\ CeRFZOISLLMIOGFRADUCESDFRFFSGGSHGTJHULHUPIVSIWVJWZ\ JWaKWcKWcIX`HXZGXWEWUDVRCVPAUO9TM8TM7TK6RI5PG4NE3M\ C2LA1K80J60I40G20E00C00A00800600400000000000000000\ 0000000000000QuSPsRNqQMnPLlOJjNIhMHeLFcKEcJDcICcHN\ cJYcKfnLzzMyyKvwIrtGnqFkoDhlBej9gg8id9kaAmZCoWEqTG\ sQIuNKwKMxHOyEQyBSy9UyAWyBYyC_yDbzEezFhzGkzHnzIqzJ\ tzKwzKzyJzxJzwIzwIzvIzuHz } frm:HyperMandelbrot {; periodicity must be turned off a=(p1),b=(0,0): q=sqr(a)-sqr(b)+pixel, b=(p2+2)*a*b+p3, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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Re: [Fractint] An Ultimate Par File Collection?
by Vortex Swirling 09 Dec '04

09 Dec '04

Jonathan, Woops, sorry, it does use the default map. I haven't encountered a par with a map reference for years. I get the error message loading such a par or selecting one with "2". What I didn't do was try to then generate the fractal which then does use the default map. I didn't think to try that, I just figured the par was already blown. Jo, Thanks for the maps, I will add them to the compilation. I also found references to maps posted by Wizzle but I couldn't find them on the web. What I did find was a reference to where they once were. So I used the Internet Wayback Machine to get the old web page out of their archive. Sure enough they also archived the zip files which they don't always do. Here folks can do it for themselves if they want to try http://web.archive.org/web/20001211122000/http://wizzle.simplenet.com/fract… The one thing I discovered which probably everyone else knows, that you can have pars which are nothing but color maps. If you load one it will just show the default fractal with those colors. Here is one such wizzl019_map { colors=000Z5f`5ic4m<9>S2WR2UP1S<2>M1MK0KL1J<8>aI8cK7eM5<3>mU0<9>WI0UH0SF\ 0<3>KA0<9>8ZC7`D5cF<2>2jI0mK0kJ<8>0P80N70K5<2>0D20A00A3<8>64`64d73h<3>A0\ w<9>40Z40X30U<3>00K<9>V0aY0c`0e<3>m0m<9>P0PN0NK0K<3>A0A<9>d09g09j09<3>w0\ 8<9>Z03X03U02<3>K00<9>eK0gM0jO0<3>sW0<8>VI0SH0QF0<3>E90<9>e7Ph7Rk6U<3>w5\ c<9>N8FJ9DF9A<3>0B0<12>W6c } Roger -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.289 / Virus Database: 265.4.7 - Release Date: 12/7/2004

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FOTD 08-12-04 (Theme and Variations [5])
by Jim Muth 08 Dec '04

08 Dec '04

FOTD -- December 08, 2004 (Rating 5) Fractal visionaries and enthusiasts: After more than two months' travel, we have finally completed the tour of the built-in escape-time formulas. But we have not even dented the surface of the library of formulas that have been written by the Fractint users over the years. This collection is far too vast for me to explore before the 22nd century arrives. In fact, I doubt that I could explore even my own formulas in that time. We turn today to the HyperMandelbrot formula, which I wrote several years ago but have never intensively explored. My interest in this formula became re-kindled when I posted the FOTD created by the 'hypercomplex' formula of Fractint, and remembered the limitations of that formula. My formula adds four additional changeable parameters, and can draw far more interesting images. But everything it draws is based on the familiar Mandelbrot set that we know and love. When I first saw some of the images drawn by my formula, I wondered if they were mere artifacts. The image changes were too great for very small changes of the parameters. But then I remembered the Z^2+C Julia sets, and how very small parameter changes can sometimes result in very large image changes. When the questionable features proved stable under magnification, I decided they are true parts of the Hypercomplex Mandelbrot set. The default image drawn by the formula when all parameters are set to zero is the Mandelbrot set. Today's image shows what happens to the M-set when only two parameters are changed by a small amount. The set appears to be closing in on itself, the valleys joining into bridge complexes. I have named the image "Theme and Variations". The Mandelbrot set is the theme; the images posted in the next week or so will be the variations. To me, the most interesting part of today's image lies in the area of Seahorse Valley and the north bud. The Seahorse Valley has blossomed into an incredible complex of interlinked valleys, while the north bud has collapsed into a kind of M-set with two feathers in its tail. The inner details of both these areas are unlike anything to be found in the familiar M-set. I have rated the image at a 5, which equals average. It can be no more than average because I have done nothing with the parent fractal but enlagre it. Over the next few days I will post several additional curious slices of the hyper-M-set drawn by today's formula. These will likely be average also. Then I will search for the interesting inner details that might lie hidden in the images I have posted. These could well rate higher, as the 4-D M-set appears far richer than the familiar 2-D set. Because the periodicity must be turned off for the HyperMandel- brot formula to work correctly, the render times of images drawn by the formula are rather slow. But today's image, being of such a low magnitude, is quite fast. The render time of 37 seconds joins with the rating of 5 to give an overall worth of an outstanding 814. And the image can always be downloaded from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> though this will take a bit more time than the rendering. Rain, fog, and a chilly temperature of 46F 8C kept the fractal cats indoors all day Tuesday. A good bit of tuna was expended in the evening as a result. This morning is milder and the sky is clearing, but the wind is up, and fractal cats do not like wind, which conceals the sound of intruding cats. Hopefully, if the wind abates this afternoon as scheduled, the cats will have enough time in the yard to keep them happy. For me its work before fractals. The next variation on the Mandelbrot set will appear in 24 hours. Until then, take care, and may the best happen. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= ThemeAndVariations { ; time=0:00:36.86--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=HyperMandelbrot center-mag=-0.462673/4.44089e-016/0.9363296 params=0/0/0.25/0/0.01/0 float=y maxiter=4000 inside=0 logmap=3 symmetry=xaxis periodicity=0 colors=000ICTIDVIFYIHbIKeHMhHPjHSmHUpHVrHXsHZuE`wH\ cuKcsMaqPZoRWmUUkWSiZPgaOecMcfKahJ_kHYoBYmGWlKUjOS\ iTQgXOf`MeeKciIbmG`rE_vCWzCZzBayAcw9fv8it7ks6nq5os\ 4pp5qm5rj6rg6sd7tb7u_8uX8vU9wR9xOAyK7xMAxOCxQExSGx\ UIxVKwXMwZOw`QwbSwdUvfZweWxdUxcRybPyaNz`Kz_IzZFzYD\ zXBzW8zV6zV4zT9zSDzRHzPLyOPxNTxLXwK`vJdvIhrKeoMczO\ azP_zRYzTWzVTzWRzYPz_NzaLzbJz5Zz6_z7`z8az8bz9czAdz\ BezBezCfzDgzEhzEizFjzGkzGkzJjzLizOizQhzTgzVgzYfz_f\ zaezddzfdziczkbznbzpazrazu_zwYzt_zr`zpbznczldzifzg\ gzehzcjzakz_lzbezd_zfTziNzkGzmAzo4zp5zp6zp7zp7zp8z\ q9zq9zqAzqBzqBzoEzmGzlIzjKzhMzgOzeQzdSzbVz`Xz_ZzY`\ zWbzVdzTfzShzXizaizeizjjznjzsjzwjzugztezrbzq`zpZzn\ WzmUzlSzjPziNzgKzfIzeGzcDzbBza9zbnz`kz_izZgzYezWcz\ VazU_zTYzRWzQUzPSzOQzNOzRMzULzXKz`JzcIzfGzjFzmEzpD\ zsCzoDzlDziEzfEzbFz_FzXGzUGzQHzNHzKIzHIzDQzAYz7ezA\ fzCgzFhzHizKizMjzBLzDOzFQ } frm:HyperMandelbrot {; periodicity must be turned off a=(p1),b=(0,0): q=sqr(a)-sqr(b)+pixel, b=(p2+2)*a*b+p3, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 07-12-04 (Yin and Yang [8])
by Jim Muth 08 Dec '04

08 Dec '04

FOTD -- December 07, 2004 (Rating 8) Fractal visionaries and enthusiasts: Today we tackle the last formula of the Fractint list, the 'volterra-lotka' formula, which appears in the book "The Beauty of Fractals". This formula is one of those that fully comes to life only when its inside parts are rendered with an active fill, such as the 'atan' that I used for today's image. Setting the 'decomp' feature to 256 helped the image also. Today's fractal has brought out the mystic in me. The reason for the name of the image, "Yin and Yang", is obvious as soon as the image is seen. The resemblance to the yin-yang symbol is striking. Yin and yang are not two Chinese farmers, they are the names the Chinese have given to the two great polar oppo- sites of the universe, the energies which manifest themselves in many contrasting ways, such as positive-negative, objective- subjective, matter-energy, time-space, past-future, wave- particle, male-female, heaven-earth, body-soul, brain-mind, etc., (though materialists would deny that things such as heaven and the soul exist, and would insist that the mind is somehow generated by the brain). Having caught myself waxing philosophic, which I have a tendency to do, I will now admit that in the second half of my life I find myself slowly drifting from the scientific view of the world toward the mystical view. In contrast to the scientific view, which breaks things down into their constituent parts and studies the pieces, the mystical view joins things together into larger units, the ultimate single unit being God. (Become one with ***** they say.) I have not yet found God, but then we are all like deep-sea fish searching for water. Fractals must in some way be connected to the ultimate unit, but we have gone far enough in the philosophical direction for one day. Today's fractal rates an 8 and renders in a little over 2 minutes, a combination that gives it an overall worth of 360 -- not bad for a yin-yang symbol. It will take no miracle to see today's image by running the included parameter file or by downloading it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Cold, damp, dreary weather with occasional light rain here at Fractal Central kept the dynamic cats indoors all day Monday. Needless to say, much tuna was needed to keep them happy. Today is starting warmer but it is raining again. It looks like I should stock up on more tuna. For me the work is moderate. I should be at the fractal machine before the sun sets, which it does at 4:43pm today. Until tomorrow, take care, and despite the skepticism, never abandon the search for the part of existence that lies beyond the limits of the senses. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Yin_and_Yang { ; time=0:02:19.95--SF5 on a P200 reset=2004 type=volterra-lotka passes=1 center-mag=1.08715/1.13888/3.934074/1/-90/-1.23373\ 5336114705e-014 params=0.5008/0.4827 float=y maxiter=256 bailout=9 inside=atan outside=atan logmap=yes decomp=256 periodicity=0 colors=000UekWdkYck_ajc`ih_imXjrVkwTlzRmzPnzNozLqz\ JszguzewzczzazzZzzXzzUzzPzzKzzFzzAzz5zz0z000000000\ 000A0AA0AA0AA0AA5LB8NDBOFEQHHRJKTKNUMQVOTXQWYSZ_Ua\ `RBrSBrSArTArTArU9sU9tV9uV8vW8wW8xW8wVAuUBtUCrTDqT\ EpSGoSHoRIoRJnQKnQMnPNmPOmOPmOQlNSlNTlMUkMVkLWkLYj\ KZjK_jJ`iIaiIchHdhHehGfgGggFigFkfEmgEohDqiDsjCukCv\ mBwoBwqAwsAwu9ww9wy8wz8wzAwzBwzDwzEwzFwzHwzImzKjzL\ hzMfz3azQgzllzUSNB05A8H99T8Ad8BpSZqjuqPRX000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 0000000000000000000000000 } END PARAMETER FILE=========================================

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Re: [Fractint] An Ultimate Par File Collection?
by Vortex Swirling 07 Dec '04

07 Dec '04

Paul, Did you see the raw pars I found on Google? I sent you the location of that zip in email, but I'll add the link here as well. I'm not sure how long this link will last but I will keep it for a while. http://rogerkaufman.mystarband.net/GooglePars.zip Roger -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.289 / Virus Database: 265.4.2 - Release Date: 11/24/2004

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Re: [Fractint] Can't reproduce WOW image
by Jim Muth 07 Dec '04

07 Dec '04

At 11:15 AM 11/26/04 -0500, Vortex Swirling wrote: >I tried the [WOW!] par with fractint v20 and it >does the same thing, the Polynomial Degree won't >stay at 100. I wonder how Jim was able to 100? It's a mystery. On my fractal dedicated machine running DOS 6.22 I can raise the degree to 237 without problems. But it defaults back to 16 at 238. I am using the most recent developer's release of Fractint. Jim M.

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FOTD 26-11-04 (Hourglass [7])
by Jim Muth 07 Dec '04

07 Dec '04

FOTD -- November 26, 2004 (Rating 7) Fractal visionaries and enthusiasts: With today's image we return to the 'phoenix' formula, this time to the Julia version. I will not try to describe in words how this complex formula works, but the full details can be seen by striking the 'Z' key when the image is on the screen. Today's image pictures the whole parent fractal, the only change being that I rotated it -90 degrees. I gave the image its name "Hourglass" when it was perpendicular to its present orientation and actually resembled an upright hourglass. As it now stands, the hourglass has tipped onto its side. To add a bit of interest to the image I departed from my usual outside=iter inside=0 routine and set the outside to 'real' and the inside to 'bof61'. The areas of chaotic detail are 'outside'; the hourglass shape itself is 'inside. I must have done something right, for this resulting fractal rates a 7. The rating of a 7 is perhaps slightly flattering, but I did put a bit of extra work into the coloring, and I feel the rating is earned. Despite the complexity of the formula, the image is a very fast one, rendering in only 1-1/4 minutes. Combined with the rating of 7, this speed gives an overall worth of 529. This entire confusion of render time, rating, and overall worth can be avoided by downloading the pre-rendered image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a temperature of 57F 14C, Thursday was mild enough here at Fractal Central, and the showers ended before noon, but the wind blew a gale all afternoon, making the fractal cats too skittish to stay out longer than 15 minutes. They spent most of the afternoon on the shelf by the window, watching the dried leaves blowing around, turning away from the window only occasionally to wash each other behind the ears. Surprisingly, they asked for only a small treat of tuna before bedtime. Today is start- ing sunny, but it is freezing cold. I guess the cats will have very clean ears by the time the day ends. I don't know what I'm going to do for the rest of the day -- I am simply not accustomed to days with totally free time. But I might need a lot of that free time; the next formula in line is a killer. To see what kind of fractal results, check back in 24 hours. Until then, take care, and get in the big time with the big-time fractalists. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Hourglass { ; time=0:01:19.42--SF5 on a P200 reset=2004 type=phoenix passes=1 float=y center-mag=0/0/0.7961192/1/-90/-1.233735336115e-014 params=0.2109862666707358/0.9854165166173284/-3 maxiter=250000 bailout=4 inside=bof61 outside=real logmap=yes symmetry=xyaxis periodicity=10 colors=000uhAodAj`AfXAaUAYRAUOARLANJAKGAGBAD9AC5AA\ 1A90A1AAdZAcjAcwA3sCcnCciCUdCK_CAWCCSCDOCFKCGGCICC\ J8CL4CM0CP2JS4PV6VY7a`9gcBnfDthEzbBkY8_T6RR8CQAAOC\ 8NE6MG4LJ8KMBJPEISIHVLGYOF`SEbVDeYChaBkdAng9qk8tn8\ vq5qS2l28h4Ee5Kb6Q_7WW9aTAgQBlNCkOFjOHiOJhOLgOOfOQ\ fPSePUdPXcPZbP`aPbaPd_T`YXXW`UUdQShNQlJPoGNkSLgbUL\ RPSMLZHHdCDk79q2Am8AiEBfKBbQCZWCW`TXfiXlyXrz`jzdbz\ hVzlNzqFzv7zz0zzcqf2jZ3bR4TJ5MB6G46IelrNUdHOSBIF5D\ b4Kz4RuCUpJXkQ_fXbaceXjhSqkUgdWYYYORZFLSEOLDRECTFA\ QG9OG7LH6JH5HL4EO4CS49V47UKFT_NSoUQm`OlfMkmKjsIiyH\ goGefFcXFbOVSJjHEy69vCBsHDpNFnSGkYIhbKfgLifOleQodT\ rcVubYwa_gbeTbkEbqBgm8li6pfFneNldVjdbhcjfcrdbzbbxa\ avaataar``p``n``l``jWdhRhfMleHocCsa7w`3z_CmZL`YUPX\ bCXj0_1DQKUHajLVcPPXSJRWDKZ7EV7LS7SP7ZM7eJ7lQ9dXBY\ cCQjEJqGBwH4kE1fI9aMGYQOTUVOYbKaiFeqBhxGfvKetPdsTc\ qYaoa`nf_ljZkkVddcDgbCjaC } END PARAMETER FILE=========================================

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Re: [Fractint] FOTD 01-12-04 (Spider-Arches [8])
by Fr. Jim Lacasse 06 Dec '04

06 Dec '04

Jim, this is for sure an 8. Outstanding!! Fr. Jim >>> jamth(a)mindspring.com 12/01/04 09:03AM >>> FOTD -- December 01, 2004 (Rating 8) Fractal visionaries and enthusiasts: Today's striking fractal takes us to the 'spider' formula. We are coming close to the end of the list, but, as today's image shows, the goodies are not yet quite exhausted. I did little exploring in today's formula. I did not need to, as the center of interest was obvious in the default image. The perturbed versions merely twist and distort the spidery arms that give this formula its name. The rating of an 8 is due almost entirely to the coloring. I could not resist the urge to turn the scene into another endless pathway to the infinite. The reason for the name Spider-Arches is obvious. The rating of a 6 may be a bit overdone, but I rather like the strong coloring. The arched pathway may be seen, but not traversed, by running the included parameter file, or by downloading the finished GIF image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The clouds increased as the day progressed here at Fractal Central on Tuesday, but the rain held off until after dark, which gave the fractal cat duo a pleasant afternoon in the holly thicket. The temperature of 52F 11C was a bit chilly, but they didn't seem to mind. When evening came, only a small treat was needed to keep them happy. This morning is starting with heavy rain and high wind -- two things the cats do not like. I fear they will not have another good day. My day will be within reason, which is all I could ask for. The next fractal is only 24 hours away. Until then, take care, and did fractals exist before the big bang? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Spider-Arches { ; time=0:01:49.19--SF5 on a P200 reset=2004 type=spider passes=1 center-mag=-0.0086\ 7751/0/19.33333/1/-90/3.88578058618805e-016 float=y params=0/0 float=y maxiter=255 bailout=9 inside=bof60 outside=tdis logmap=yes periodicity=10 colors=000mtzafpSXfPPZLJRP8PU7LY6Ib5Eg4Bk38nB7pI6r\ Q5ua4vi3xu2zz2uz9puGkqNgnUbm`YlgUkmTjkSijRhhQhgPge\ OfdNfbMeaLd`KdZJcYIbWHbVGaTF`SE`RH_RKZROYSRXSnMcpW\ drfftphvziklaaZUSMNRNPRORQPSQPUQQWPRXPRZPS`OTaOUcO\ UeNVfNWhNWiPRlQNnSJqTFsVBvW7xX8wY9vZ9v_Au`BtaBtbCs\ cDrdDreEqfFpgFpdHqbIr`JrZLsXMtVNtTPuRQvPRvNTwLUxJV\ xSYv``tibrrepzgnxhmvhmthmrilpilnilljkjjkhjkjegk`dl\ XamSYnNVoJSkMSgPScRS_USWXSSZSOaSLcSLbVLaYLa_L`bL`e\ L_gL_jLZmLZoMbiMfcMiYMmSMpNPpLSpKVpJYpI`pHcpGfpEip\ DlpCopBrpAtp9uoAunBumBulCukCujDujDviEvhFvgFvfGveGv\ dHvdHnfIfhI_iISkILlIMkHMjHMiHMiHMhGMgGMgGMfGMeFMeF\ MdFMcFMcEMbEMaEMaEVZObWYkTgsQqoQskQujTvjVwiXwiZxh`\ xhbyhdyffxegwdhvcivbju`kt_lsZmsYnrXoqVppUqpTroSsnR\ tmQumOtlMtkKskIsjHsjFriDriBrh9qg8qg6qf4pf2pe1pe5lf\ 9hfDegGagKZhOVhSRhVOiZKibHjfDjiAjkCklElnGloImqKmrM\ nsOnrhOleXgbdb`lcbmdcnedo } END PARAMETER FILE========================================= _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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FOTD 05-12-04 (Bluebells [7])
by Jim Muth 05 Dec '04

05 Dec '04

FOTD -- December 05, 2004 (Rating 7) Fractal visionaries and enthusiasts: Today's fractal takes us on to the 'tim's error' formula, a formula that resulted when a coding error unintentionally produced an unexpectedly good result. The formula does not really come to life until the parameters are changed from 0,0, and the inside is set to an active fill. To create today's image, I set the function to 'abs', the parameters to 0.5,0.5, and the inside fill to 'bof61'. The book "Fractal Creations" tells that a pterodactyl is hiding somewhere in the formula. I found no prehistoric flying reptile, but I did find a lovely garden. This garden is growing fantastic flowers, which I have named "Bluebells". Yes, I know that they look more like tulips, but I have decided that they are bluebells. In addition to the flowers, the image shows a gloriously blue sky, some grass growing around the flower stems, some sandy garden soil, a puddle of water left over from a recent watering, and even a few tiny insects hovering in the grass. Such a lovely garden scene surely deserves an above-average rating. I gave it a rating of 7. The render time of 3-1/3 minutes raises this to an absolute worth of 206. Those who do not consider rendering fractals to be their cup of tea can find the image already rendered on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> It stayed quite chilly here at Fractal Central all day Saturday, but the sun was warm and the wind was light, giving the fractal cats enough time in the yard to put them in a good mood. Today is starting sunny and a bit milder. It looks like another good day for the duo. The day should be fairly good for me also. There is only one more escape-time formula to go before I decide what fractal project comes next. Until tomorrow, take care, and fractals are as real as we want them to be. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Bluebells { ; time=0:03:23.83--SF5 on a P200 reset=2004 type=tim's_error function=abs passes=1 center-mag=-1.28498/1.23687/10/1/-134.5/2.58335020\ 042466112e-014 params=0.5/0.5 float=y maxiter=255 bailout=9 inside=bof61 logmap=yes periodicity=none colors=000GRWGSWGTVHUVHVVHWVIXVIYVIZVI_VJ`UJaUJbUK\ mzKmzKmzKmzKmzKmzKmzKmzKmzKmzKmzKmzKmzKmzKmzKmzKmz\ KmzKmzKmzKmzKmzKmzKmzKmzKmzKmzKeQVfQ8ZPW`P3SPMUR1O\ Q1UP2QO2UN3SM3TL4UK4VJ5WI5XH6YG6ZF7_E7`D8aC8bB9cAS\ f98eA9dAAcABbABaAC`AD_AEUAFYAFXAGWAHVAIUAIUAJTAKSA\ LRAMQAMPANOAONAPMAQLAQKARJASIATHAUF9THATIBTJBTKCTL\ CTMDTODTPETQETRFTSFTTGTUGSWHSXISYISZJS_JS`KSbKScLS\ dLSeMSfMSgNQfHRgKShNThQUiTVjWWjZWk`XkcYlfZmi_ml`nm\ apm`nm`mm`lm_km_jm_im_hmZgmZfmZemZdmYcmXbmWamV`mT_\ mSZmSXmSWmRVmRUmRTmRSmQRmQQmQPmQOmPNmPMmPLmPKmOJmO\ ImOHmKEmMFmOGmQGmSHmUHmWImYImZJm`JmPKmPKmPLmPLmPMm\ PJmPLmPMmPNmPOmPPmPQmPRmPSmPUmPVmPWmPXmQYmQZmR_mR`\ mSalSclTdkTekUfkUgjUhjUiiUjiUkiXlgYlfZmd_mc`maan`b\ nZcoYdoWeoVfpTgpShpQiqPjqNkrMlrKmrJnsHosGpsFqrGqrH\ qqIqqJqpKqpLqpMqoNroOrnPrnPrnQrmRrmSrlTrlUsmVtmXum\ XvmXwmXwmWwmWwmWwmWwmWwmW } END PARAMETER FILE=========================================

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General slicing formulae for quaternion based Mandelbrot and Julia sets-- and request for math validity check
by Hiram Berry 05 Dec '04

05 Dec '04

A little while ago Jim Muth commented on his disappointment in the results he had in the "quat" formula built in to Fractint, suggesting that not enough degrees of freedom were usable to produce all the 2-D unequivalent slicing views of the set in an R4 space, and pointing out that the analogous Julia formula had more degrees of freedom in choice of parameters. He went on to relate that he used his own formula for exploring the hypercomplex equivalent, which he later posted. I outlined a possible algorithm to exhaustively and uniquely specify all the quat slices of this nature, and have now attempted to implement it for quaternion Julia and Mandelbrot sets. I would appreciate it if those reading would check the procedure for these formulae and and see if I have made errors in writing them; there are settings which do what Jim talked about before, ie. looking either identical to the well known complex M-set or a slice through a rotation of it, there are other views very unlike such an object, and there is a strange behavior for a certain parameter arrangement. So please take a look at this and comment, and point out any obvious errors I've made in the implementation. The algorithm for producing the slices is this: choose an arbitrary vector in R4 specified by p1 and p2 (as four dimensional spherical coordinates); establish a basis in the 3-space orthogonal to the vector with the vector head as origin; read a 3-D spherical coordinate direction from p3; choose the plane normal to this direction passing through the 3-space origin as the slicing plane and figure 2 orthogonal unit vectors on that plane; then the formula generates on each pixel pass a quaternion defined as the origin plus a linear combination of the unit vectors with coefficients as in the parts of the "pixel" variable. That quaternion is either the value of C, for M-sets, or the starting value of z, for Julia sets. The strange behavior is that when a zero value is entered for the length of the vector rho in real(p1), inside points are plotted properly but when the length of rho is nonzero, even very small, an outside color is plotted in the very same region. It doesn't seem reasonable to me that a tiny change in the origin of the slicing plane would always cause the iterations to diverge, and only where the inside points used to be. So this is strange. Also I would appreciate it if someone would check that I used the correct coefficients in going from the 4-space to the 3-space. Thanks. Here are the formulae, and 3 pars for the QM-set which if valid seem to show that it is not simply a rotation of the complex M-set-- the stretching seems too complicated to me at small scale to be due to rotation alone, but that may simply be an artifact of the slicing. Comments are welcome. ---Hiram frm: MandelQuatAnySlice{ ; the quaternion M-set sliced by arbitrary plane in R4 space. Fractint z-value at each iteration is ; z calculated to be the projection of the quaternion value onto that plane (to allow orbital images to be viewed through the ; passes=o option). Plane specified by R4 vector spherical coordinates and ; a normal direction in the 3-space orthogonal to the vector: ; p1=(rho(real),omega(-90..90degrees,4-space orientation angle,"ternitude")), ; p2=(phi4(-90..90deg,"longitude"),theta4(-180..180deg),"latitude"), ; p3=(phi3(-90..90deg,normal long),theta3(-180..180deg,normal lat)), ; p4=first two components of the quaternion perturbation ; p5=last two components of the quaternion perturbation ; z-value each iteration is the projection of the quat onto the plane IF(initialized==0) initialized=1 bailout=64 degtorad=pi/180 pert_xy=p4,pert_zw=p5 rho=real(p1),omega4=imag(p1)*degtorad,phi4=real(p2)*degtorad,theta4=imag(p2)*degtorad phi3=real(p3)*degtorad,theta3=imag(p3)*degtorad Pnxy=cos(omega4)*cos(phi4)*(cos(theta4)+flip(sin(theta4))) ; unit vector in direction of point Pnzw=cos(omega4)*sin(phi4)+flip(sin(omega4)) x4=real(Pnxy),y4=imag(Pnxy),z4=real(Pnzw),w4=imag(Pnzw) IF( w4==0 && z4==0) ; then 4-comp expression of basis in the 3-space must use x4 and y4 instead Bx4uxy= flip(conj(Pnxy)), Bx4uzw= 0 ; unnormalized basis x-unit vector in the orthogonal 3-space By4uxy= w4*Pnxy, By4uzw= flip( -|Pnxy| ) Bz4uxy= |Pnxy|*(z4*Pnxy), Bz4uzw= |Pnxy|*(-sqr(w4)-|Pnxy|+flip(z4*w4)) ELSE ; use w4 and z4 for the basis Bx4uxy= 0, Bx4uzw= flip(conj(Pnzw)), By4uxy= flip( -|Pnzw| ), By4uzw= y4*Pnzw Bz4uxy= |Pnzw|*(-sqr(y4)-|Pnzw|+flip(x4*y4)), Bz4uzw= |Pnzw|*(x4*Pnzw) ENDIF x3=cos(phi3)*cos(theta3),y3=cos(phi3)*sin(theta3),z3=sin(phi3) ; direction cosines in the 3-space IF( z3==0 && y3==0) ; set plane's basis in the 3-space Bx3uxy=z3, Bx3uz=-x3 By3uxy=x3*y3-flip(sqr(x3)+sqr(z3)),By3uz=y3*z3 ELSE Bx3uxy=flip(-z3),Bx3uz=y3 By3uxy= -sqr(y3) -sqr(z3) + flip(x3*y3), By3uz=x3*z3 ENDIF len_x4=sqrt(|Bx4uxy|+|Bx4uzw|),len_y4=sqrt(|By4uxy|+|By4uzw|),len_z4=sqrt(|Bz4uxy|+|Bz4uzw|) len_x3=sqrt(|Bx3uxy|+|Bx3uz|),len_y3=sqrt(|By3uxy|+|By3uz|) Bx4xy=Bx4uxy/len_x4,Bx4zw=Bx4uzw/len_x4 ; normalization By4xy=By4uxy/len_y4,By4zw=By4uzw/len_y4 Bz4xy=Bz4uxy/len_z4,Bz4zw=Bz4uzw/len_z4 Bx3xy=Bx3uxy/len_x3,Bx3z=Bx3uz/len_x3 By3xy=By3uxy/len_y3,By3z=By3uz/len_y3 ; sum the contributions of each 3-space component to each 4-space component of plane's unit axes: Bxx=real(Bx3xy)*real(Bx4xy)+imag(Bx3xy)*real(By4xy)+Bx3z*real(Bz4xy) ; quat components of Bx unit vector of Bxy=real(Bx3xy)*imag(Bx4xy)+imag(Bx3xy)*imag(By4xy)+Bx3z*imag(Bz4xy) ; planar variation Bxz=real(Bx3xy)*real(Bx4zw)+imag(Bx3xy)*real(By4zw)+Bx3z*real(Bz4zw) Bxw=real(Bx3xy)*imag(Bx4zw)+imag(Bx3xy)*imag(By4zw)+Bx3z*imag(Bz4zw) Byx=real(By3xy)*real(Bx4xy)+imag(By3xy)*real(By4xy)+By3z*real(Bz4xy) ; quat components of By unit vector of Byy=real(By3xy)*imag(Bx4xy)+imag(By3xy)*imag(By4xy)+By3z*imag(Bz4xy) ; planar variation Byz=real(By3xy)*real(Bx4zw)+imag(By3xy)*real(By4zw)+By3z*real(Bz4zw) Byw=real(By3xy)*imag(Bx4zw)+imag(By3xy)*imag(By4zw)+By3z*imag(Bz4zw) Pxy=rho*Pnxy, Pzw=rho*Pnzw ; quat components of the planar origin ENDIF Q_xy=pert_xy,Q_zw=pert_zw ; corresponds to z in usual Mandelbrot image C_xy=Pxy+real(pixel)*Bxx+imag(pixel)*Byx+flip(real(pixel)*Bxy+imag(pixel)*Byy) ; corresponds to usual C C_zw=Pzw+real(pixel)*Bxz+imag(pixel)*Byz+flip(real(pixel)*Bxw+imag(pixel)*Byw) : Q_xy=sqr(Q_xy)-|Q_zw|+C_xy, Q_zw=2*real(Q_xy)*Q_zw+C_zw ; iteration Q->Q^2+C z=real(Q_xy)*Bxx+imag(Q_xy)*Bxy+real(Q_zw)*Bxz+imag(Q_zw)*Bxw ; dot product with planar x-direction z=z+flip(real(Q_xy)*Byx+imag(X_xy)*Byy+real(Q_zw)*Byz+imag(Q_zw)*Byw) ; dot product with planar y-direction |Q_xy|+|Q_zw| <= bailout } frm: JuliaQuatAnySlice{ ; the quaternion J-set sliced by arbitrary plane in R4 space. Fractint z-value at each iteration is ; z calculated to be the projection of the quaternion value onto that plane (to allow orbital images to be viewed through the ; passes=o option). Plane specified by R4 vector spherical coordinates and ; a normal direction in the 3-space orthogonal to the vector: ; p1=(rho(real),omega(-90..90degrees,4-space orientation angle,"ternitude")), ; p2=(phi4(-90..90deg,"longitude"),theta4(-180..180deg),"latitude"), ; p3=(phi3(-90..90deg,normal long),theta3(-180..180deg,normal lat)), ; p4=first two components of the "C" quaternion for the set ; p5=last two components of the "C" quaternion for the set ; z-value each iteration is the projection of the quat onto the plane IF(initialized==0) initialized=1 IF(real(p4)==0) bailout=64 ELSE bailout=real(p4) ENDIF degtorad=pi/180 rho=real(p1),omega4=imag(p1)*degtorad,phi4=real(p2)*degtorad,theta4=imag(p2)*degtorad phi3=real(p3)*degtorad,theta3=imag(p3)*degtorad Pnxy=cos(omega4)*cos(phi4)*(cos(theta4)+flip(sin(theta4))) ; unit vector in direction of point Pnzw=cos(omega4)*sin(phi4)+flip(sin(omega4)) x4=real(Pnxy),y4=imag(Pnxy),z4=real(Pnzw),w4=imag(Pnzw) IF( w4==0 && z4==0) ; then 4-comp expression of basis in the 3-space must use x4 and y4 instead Bx4uxy= flip(conj(Pnxy)), Bx4uzw= 0 ; unnormalized basis x-unit vector in the orthogonal 3-space By4uxy= w4*Pnxy, By4uzw= flip( -|Pnxy| ) Bz4uxy= |Pnxy|*(z4*Pnxy), Bz4uzw= |Pnxy|*(-sqr(w4)-|Pnxy|+flip(z4*w4)) ELSE ; use w4 and z4 for the basis Bx4uxy= 0, Bx4uzw= flip(conj(Pnzw)), By4uxy= flip( -|Pnzw| ), By4uzw= y4*Pnzw Bz4uxy= |Pnzw|*(-sqr(y4)-|Pnzw|+flip(x4*y4)), Bz4uzw= |Pnzw|*(x4*Pnzw) ENDIF x3=cos(phi3)*cos(theta3),y3=cos(phi3)*sin(theta3),z3=sin(phi3) ; direction cosines in the 3-space IF( z3==0 && y3==0) ; set plane's basis in the 3-space Bx3uxy=z3, Bx3uz=-x3 By3uxy=x3*y3-flip(sqr(x3)+sqr(z3)),By3uz=y3*z3 ELSE Bx3uxy=flip(-z3),Bx3uz=y3 By3uxy= -sqr(y3) -sqr(z3) + flip(x3*y3), By3uz=x3*z3 ENDIF len_x4=sqrt(|Bx4uxy|+|Bx4uzw|),len_y4=sqrt(|By4uxy|+|By4uzw|),len_z4=sqrt(|Bz4uxy|+|Bz4uzw|) len_x3=sqrt(|Bx3uxy|+|Bx3uz|),len_y3=sqrt(|By3uxy|+|By3uz|) Bx4xy=Bx4uxy/len_x4,Bx4zw=Bx4uzw/len_x4 ; normalization By4xy=By4uxy/len_y4,By4zw=By4uzw/len_y4 Bz4xy=Bz4uxy/len_z4,Bz4zw=Bz4uzw/len_z4 Bx3xy=Bx3uxy/len_x3,Bx3z=Bx3uz/len_x3 By3xy=By3uxy/len_y3,By3z=By3uz/len_y3 ; sum the contributions of each 3-space component to each 4-space component of plane's unit axes: Bxx=real(Bx3xy)*real(Bx4xy)+imag(Bx3xy)*real(By4xy)+Bx3z*real(Bz4xy) ; quat components of Bx unit vector of Bxy=real(Bx3xy)*imag(Bx4xy)+imag(Bx3xy)*imag(By4xy)+Bx3z*imag(Bz4xy) ; planar variation Bxz=real(Bx3xy)*real(Bx4zw)+imag(Bx3xy)*real(By4zw)+Bx3z*real(Bz4zw) Bxw=real(Bx3xy)*imag(Bx4zw)+imag(Bx3xy)*imag(By4zw)+Bx3z*imag(Bz4zw) Byx=real(By3xy)*real(Bx4xy)+imag(By3xy)*real(By4xy)+By3z*real(Bz4xy) ; quat components of By unit vector of Byy=real(By3xy)*imag(Bx4xy)+imag(By3xy)*imag(By4xy)+By3z*imag(Bz4xy) ; planar variation Byz=real(By3xy)*real(Bx4zw)+imag(By3xy)*real(By4zw)+By3z*real(Bz4zw) Byw=real(By3xy)*imag(Bx4zw)+imag(By3xy)*imag(By4zw)+By3z*imag(Bz4zw) Pxy=rho*Pnxy, Pzw=rho*Pnzw ; quat components of the planar origin C_xy=p4,C_zw=p5 ENDIF Q_xy=Pxy+real(pixel)*Bxx+imag(pixel)*Byx+flip(real(pixel)*Bxy+imag(pixel)*Byy) ; corresponds to usual C Q_zw=Pzw+real(pixel)*Bxz+imag(pixel)*Byz+flip(real(pixel)*Bxw+imag(pixel)*Byw) : Q_xy=sqr(Q_xy)-|Q_zw|+C_xy, Q_zw=2*real(Q_xy)*Q_zw+C_zw ; iteration Q->Q^2+C z=real(Q_xy)*Bxx+imag(Q_xy)*Bxy+real(Q_zw)*Bxz+imag(Q_zw)*Bxw ; dot product with planar x-direction z=z+flip(real(Q_xy)*Byx+imag(X_xy)*Byy+real(Q_zw)*Byz+imag(Q_zw)*Byw) ; dot product with planar y-direction |Q_xy|+|Q_zw| <= bailout } par: NotAMinibrot { reset=2004 type=formula formulafile=quat.frm formulaname=mandelquatanyslice passes=1 center-mag=-0.85477129473239550/+0.40709301723382000/266.6654 params=0/0/0/90/15/-60/0/0/0/0 float=y maxiter=15000 inside=0 outside=summ periodicity=0 rseed=28455 cyclerange=2/253 colors=000Gfrww0<3>wY0wR0wK0<3>UCU<3>Y6jZ4n_2ra0w<14>P8tO8tN9t<3>JBtHBtG\ CsECsCCs<2>CIsDJsDJs<44>girgirhjrhjrikr<9>qqtqrtrrt<3>uuuvvvvwv<2>yyvzzw\ zyq<3>xuRwtKwtK<3>wsKwsKwsKvrK<3>uiHugGudFtbE<6>sOCsMCsKC<2>sECsCCqCC<2>\ kCCiCCiCC<39>fClfCmfCnfCofCp<4>cFrbGraHr`Ir_Jr_Js<17>JasIbsHcsGdsFes<3>D\ ksCmsCosCqsCss<10>CsY } par: AParticularView { ; of the QM-set, using outside=summ to show the probabilit ; y that the distortion of the M-set in the slice is far ; more complicated than likely achievable with a simple ; rotation. reset=2004 type=formula formulafile=quat.frm formulaname=MandelQuatAnySlice passes=1 center-mag=0/0/0.6666667 params=0/0/75/135/-135/-24/0/0 float=y maxiter=600 inside=0 outside=summ logmap=yes periodicity=0 rseed=28455 cyclerange=2/253 colors=zzz000ww0<3>wY0wR0wK0<3>UCU<3>Y6jZ4n_2ra0w<16>N9tM9tLAtKAtJBt<2>E\ CsCCsCEsCGsCIs<41>cfrdfregregrfhrgirgir<3>jkrjlsklp<3>ppaqpZsqVtrSusOwtK\ <17>wtKwsKwsK<2>wsKvrKvpK<3>ugGudFtbEt`D<5>sOCsMCsKC<2>sECsCCqCC<2>kCCiC\ CiCC<40>fCmfCnfCofCpfCq<10>YLsXMsWNs<14>IbsHcsGdsFesEfs<3>CmsCosCqsCss<1\ 0>CsY } par: ExtremeStretching { ; happens in parts of this slice of the Quaternion M-set reset=2004 type=formula formulafile=quat.frm formulaname=mandelquatanyslice passes=1 center-mag=-0.484191/-0.633079/0.3625693 params=0/0/0/90/15/-60/0/0/0/0 float=y maxiter=1200 inside=0 outside=summ periodicity=0 rseed=28455 cyclerange=2/253 colors=000GfrVXe<2>B5O<12>9_b9ac9de<2>9kh8nj8nj<42>gGIhGHiFH<2>lCElCElDE\ <54>bsNbtNbuNbvNawO<50>rffsegseg<2>tdhtdhsdg<31>kjZkjZkjZ<3>ikXd_P<3>LjR\ GmSGmS<3>HmTHmUHmUImVlte<5>nwwhnqaekCs_CsY }

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FOTD 25-11-04 (Analemma [7])
by Jim Muth 05 Dec '04

05 Dec '04

FOTD -- November 25, 2004 (Rating 7) Fractal visionaries and enthusiasts: Today's image takes us to the next formula in line, the 'newton' formula, which works the same as the 'newtbasin' formula except that it colors the images according to the number of iterations it takes for the iterated points to reach their roots. For some arbitrary reason, I named the image "Analemma". An analemma is the figure-8 graph usually seen in the Pacific Ocean areas of world globes. At a single glance it shows the sun's declination and the equation of time for each day of the year. But there is little in today's image that resembles an analemma. The word simply seemed to fit the mood of the moment when I thought of it. The image itself resembles a solar eclipse more than anything else. Or some might see a steering wheel at the center. It is an unusual picture when compared to my standard routine of an unending string of images with decorated Mandelbrot midgets at the center. But since starting the tour of the Fractint formulas, I have done many images with no midgets, so maybe today's image is not so unusual after all. I created the picture by setting the single parameter to a rather high value of 240 and rendering the scene with the outside set to 'mult'. Apparently just for the fun of it, the 'mult' option colors the pixels by multiplying the iteration count of escaping points by their real divided by maginary values at the time they escape. The render time on my ancient worn-out machine is a nominal 12-3/4 minutes. This joins with the rating of 7 to give an overall worth of 55. For those who do not render, the image is available for download on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Those who download from the web site can ignore the overall worth. An off-and-on light rain fell all day Wednesday here at Fractal Central. The rain did not amount to much, but it was enough to keep things wet and keep the fractal cats confined indoors. Luckily we were well stocked with tuna. Today is starting partly cloudy and quite mild, but showers are in the area, and the wind is rising. The cats have yet to pass judgement on the conditions. In my department the work is caught up and I have little to do for the rest of the day but take it easy. So far I have heard nothing about being invited to any dinners. Unless something changes, this will leave me plenty of time to find the next fractal. Until that next fractal appears, which will happen right here in 24 hours, take care, and then take further care. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Analemma { ; time=0:12:47.53--SF5 on a P200 reset=2004 type=newton passes=1 center-mag=0/0/0.1\ 261867 params=240 float=y maxiter=7500 bailout=9 inside=0 outside=mult logmap=yes symmetry=origin periodicity=10 colors=000000zzzzzzzm4zm6zm7zm8tKgrMhqNhpPhoQhnShl\ TikVijWiiYihZif`jeajdcjcdjbfj`gk_ikZjkYlkXmkYljZkj\ Zjj_ij_hj`gjagjafjbejbdjccjcbjdajeaje`jf_jfZigYigX\ ihXiiWiiVijUijTikSikRilRimQimPinOinNioMisKjqLipLio\ MinMhmNhlNhkOgjOgiPghPggQffQfeRfdRecSebSe`Te_TdZUd\ YUdXVcWVcVWcUWcTXbSXbRYbQYaPZaOZaN_`M_`K``J``Ia_Ha\ _Gb_FbZEcZDcZCdZBdYAeY9eY8fX7fX6gX3iW4hX4hX5gX5gX6\ fY6fY7eY7eY8dY8dZ9cZ9cZAbZAb_Aa_Ba_B`_C`_C_`D_`DZ`\ EZ`EYaFYaFXaGXaGWaGWbHVbHVbIUbIUcJTcJTcKScKScLRdLR\ dMQdMQdKSbLRcMQdMQeNPeNPfOOgOOhPNhPNiQMjQMkRLkRLlS\ KmSKnTJnTJoUIpXHtWIrVIqUIpTInSImRIlQIjPIiOIhNIfMIe\ LIdKIbKIaJI`IIZHIYGIXFIVEIUDITCIRBIQAIP9IN8IM8ILAH\ NCGPEFRGETIDVJCWLBYNA_P9aR8cP4fS7dUAbWC`YF__HYbKWd\ NVfPThSRkTSjURjURjUQjUQjUQjUPjUPjVOjVOjVOjVNjVNjVN\ jVMjWMjWLjWLjWLjWKjWKjWKjXJjXJkYKlZKm_Kn`KoaKpbKqc\ KrdKseKtfKugKvhKwiKxjKykK } END PARAMETER FILE=========================================

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FOTD 04-12-04 (Hidden Helmet [5])
by Jim Muth 04 Dec '04

04 Dec '04

FOTD -- December 04, 2004 (Rating 5) Fractal visionaries and enthusiasts: Today's not-so-glorious image was created by the 'tetrate' formula, a formula even more simple (if possible) than the Mandelbrot formula. The iterated expression is simply C^Z, but even this simple expression creates a fractal. The fractals it creates consist mostly of large flat blocks, so to add interest I rendered today's image with the inside set to 'atan' and the outside set to 'real'. In the resulting fractal I found a scene that vaguely reminded me of the top part of a helmet or ceremonial headdress peeking over a hill. Since the bottom of the helmet, along with the head wearing it, is hidden, I named the picture "Hidden Helmet". There is really nothing in the image that could be rated above average. The mathematical interest is lacking, the coloring is smooth but unexceptional, the composition is nothing out of the ordinary. The rating of 5 is as good as I could do with the image. Luckily, the calculation time of a brief 1-1/2 minutes means that not much time will be spent rendering it. The overall worth is 314. The rendering can be avoided entirely by downloading the image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Mostly sunny but cold weather here at Fractal Central on Friday, with a temperature of 46F 8C, limited the fractal cats' outdoor time to under an hour -- not nearly enough to keep them conten- ted. An extra treat of tuna was needed to make up for the yard time they missed. Today is starting much the same. More tuna may be needed before the day ends. I expect a relatively calm day -- that is unless something unex- pected happens. Until the next FOTD fractal appears here in 24 hours, take care, and try to prove that the world is real. If you fail, try to prove that it is unreal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Hidden_Helmet { ; time=0:01:35.62--SF5 on a P200 reset=2004 type=tetrate passes=1 periodicity=10 center-mag=2.8193/-1.30897/1.577268/1/-98.75/1.310\ 75705844807544e-014 params=0/0 float=y maxiter=2500 bailout=1600 inside=atan outside=real logmap=yes colors=000L5KN8MRBOVEQYHS`KVcNTdQTdSTeTXfVYhXZjZ_l\ ``nbbqdcrfdshctjaskaqkbpjboibmhblgbjfchecgdcfccebc\ dadc`da_d`ZcZYbYXaWWaVV`TU`ST_RSZPRZNQZMPZKOYJNXHM\ WGLVEKUDJSBIRAIQ9ST8aJ7jAOwKNxMMxOLxQKxSJxTIxVHxXG\ xZFy_EyaDycCyeByfAyh9yj8yl7ym9vjBthDqfFocHmaJj_LhY\ MeVOcTQaRSZPUXMWUKYSIZQGYPIYOJXNLXMMXLOWKPWJRWISVH\ UVGVVGXUFYUE_TD`TCbTBcSAeS9fS8hR7iR6kR6lP8jN9iLAgJ\ BfICdGEcEFaCG`AHZ9IYAKZBLZBMZCNZDPZDQZERZFSZFUZGVZ\ HWZHXZIZZI_ZJ`ZKaZKcZLdZMeZMfZNhZOiZOjZPkZQmZQnZRo\ ZRpZTo_Uo_Vo_Xo`Yn`Zn``naanabnadmaembfmbhmbilcjlcl\ lcmldnldpkdqkdrketkeujevjfxjfyjfzjftfdocbj`adX__UY\ VRXPNVKKTFHSGJRGKQGLQHMPHNPHOOHPNIQNIRMITMJULJVKJW\ KJXJKYJKZIK_IK`HLaGLcGLdFMeFMfEMgDMhDNiCNjCNkBNlBM\ hBKeAJaAIZ9HV9GS8FP8ERDETHEVMEXQEZVE`ZEbbDdgDfkDhp\ DjtDlyDnzDpzCozCozBozBozBozAoyAowAov9nu9ns8nr8nq8n\ o7nn7nm7nlS_akMRjNUjNWjNY } END PARAMETER FILE=========================================

2 1

FOTD 03-12-04 (Flutterby Fractal [5])
by Jim Muth 03 Dec '04

03 Dec '04

FOTD -- December 03, 2004 (Rating 5) Fractal visionaries and enthusiasts: Moving onward from yesterday's 'sqr(1/fn)' formula, we reach the 'sqr(fn)' formula, which is a slightly altered version of the first formula. Actually, both formulas seem a bit redundant. A formula such as 'sqr(fn(fn))' would have done everything both formulas do, and far more. But the 'sqr(fn)' formula is there, it is an escape-time formula, and it does create fractals. Like yesterday's formula, the only variable is the function. The heavy exploring must be done by tweaking things such as the inside and outside coloring options and the bailout radius. For today's image I set the function to tangent, the inside to 'bof61', the outside to 'imag', and the bailout to a very large 10000. The result is an oversized fractal filled with things that remind me of butterflies. But they are not exactly butterflies, so I thought of them as 'flutterbys' and named the image "Flutterby Fractal". As its name would imply, the image features a large butterfly- like feature that fills the frame. To intensify the effect of butterfly wings, the background colors have been reduced to pastel shades, and the edges of the wings colored a brilliant yellow. When all this is done, the resulting image is average. Like all average images, it rates an average 5. The fast render time of 53 seconds gives the image an overall worth of 566. And as always, those who do not render can find the image finished and waiting on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> But before going there, give Paul a chance to post the image file. Thursday was a far more pleasant day here at Fractal Central. The warm sun and temperature of 50F 10C were just what the duo wanted. And the wind, which calmed to a mere 10mph 16kph, made it all the more pleasant. The duo spent over three midday hours in the yard, doing little but sitting still, watching the world go by. Today is starting much the same. I expect to have happy cats when the day ends. Work is waiting, so I had best get busy. Until next time and next fractal, take care, and win with a top fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Flutterby_Fractal { ; time=0:00:53.01--SF5 on a P200 reset=2004 type=sqr(fn) function=tan passes=1 center-mag=-1.05105000119388900/+1.605975348682925\ 00/1800.071 float=y maxiter=255 bailout=10000 inside=bof61 outside=imag logmap=yes periodicity=10 colors=000AFE1U2DZ3Oc4_h5jm5ik9hjDhiHggKgfOfeSecVe\ bZdabd`eOJOQMRROTSQVTSXmUZmW`mYbm_dmafmchmejmglain\ ZdpW_qzuXQQtNLvLHwURia_XihKqq7liHgbQbV_ZOheS`lVUsZ\ NyaGyXHzSHzOHzJIzEIzAIzDJzGKzJKzMLsPMrSMqVNpYOo`On\ cPmfQliQklRjoRHXHFSKDNMBIPADRBFPCGNDILEJJFLHGMFHOD\ IPCHSDHUEHXFHZGHaHGcHGfIGhJGkKGmLFpLFrMFuNFwOFwPFw\ PDwVCu`Bqe9nk8jq7gvA`mDUeGNYJGPM9HP39I6EC9J6CO9GMB\ KLDOKvWGZw0PgAhLnZNcPPTb_kSwVFlHFaI`VkYXlW_mTbnRdo\ OgpMjqKlrVifegVpeJp_GpVEpQCpLApG8pB6p64kA6gE7cI9_M\ AWQCRUDNYFJaGFeIBiJ_YIxNHwQLvSOvVRuXUtZXta_scbrefr\ hiqjlploporoquosxnoemkNlg4kh6ji8jiAijChkEhkFjjGliG\ niHphHrhHriGrjGrkFrkFrlFrmErnErnEroDrpDrpDgnFXlGMj\ IBhJ1gK4iL7jL9lMCmMFoNHpNKqONsOPtPSvPVwQXwQ_sUboYe\ j`hfdkahnYkqTosPrnQoiRldRi_SfWScZSbaSacS`fS`iS_kSZ\ nSYpSYhcXaoXZmYWkZTiZQg_Ne_Kc`Hb`E`aBZa8Xb5Vb2Tc0S\ c1Rd1Qd2Pd2Od3Nd3Md4Ld4Kd } END PARAMETER FILE=========================================

1 0

Can't reproduce WOW image
by Vortex Swirling 03 Dec '04

03 Dec '04

I've tried to generate the WOW ftod image and don't seem to get the same image as shown on the ftod page. What is even weirder is that at SF5 it generates one image and at SF6 it generates another. I'm using use Fractint 20.04 under XP. I placed the images on the web for comparison. At SF5: http://rogerkaufman.mystarband.net/WOW.SF5.gif At SF6: http://rogerkaufman.mystarband.net/WOW.SF6.gif -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.289 / Virus Database: 265.4.2 - Release Date: 11/24/2004

8 10

orbits.par file
by Jonathan Osuch 02 Dec '04

02 Dec '04

The orbits.par file has some examples of what the new passes=o feature can do. For those of you missing the orbits.par file, which would be anybody that didn't download the dif file, here it is: demonic_moose { ; Jonathan Osuch josuch(a)fractint.org reset=2004 type=tetrate passes=o center-mag=0.325467/4.44089e-16/0.5788618/1/-90/3.88578058618804789e-16 params=0/0 float=y inside=0 outside=summ orbitdelay=30 orbitinterval=5 colors=000FFF<24>p33r33s22<2>x11z00z10<24>zn0zp0zr0<2>zx0zz0zz1<24>zznzz\ pzzr<2>zzxzzzzzz<57>zX5zX4zW3zW2zV1<27>z50z40z30z20z10z00<28>f00e00d00<3\ 1>FFF } space_debris { ; Jonathan Osuch josuch(a)fractint.org reset=2004 type=mandelfn function=sin passes=o center-mag=-3.9968e-15/3.10862e-15/0.3360215 params=0/0 float=y inside=0 outside=summ orbitdelay=40 colors=000FFF<24>p33r33s22<2>x11z00z10<24>zn0zp0zr0<2>zx0zz0zz1<24>zznzz\ pzzr<2>zzxzzzzzz<57>zX5zX4zW3zW2zV1<27>z50z40z30z20z10z00<28>f00e00d00<3\ 1>FFF } solar_flares { ; Jonathan Osuch josuch(a)fractint.org reset=2004 type=fn(z)+fn(pix) function=recip/sqr passes=o center-mag=-1.55431e-15/1.11022e-15/0.613196 params=0/0/1/0 float=y inside=0 outside=summ orbitdelay=50 orbitinterval=7 colors=000FFF<24>p33r33s22<2>x11z00z10<24>zn0zp0zr0<2>zx0zz0zz1<24>zznzz\ pzzr<2>zzxzzzzzz<57>zX5zX4zW3zW2zV1<27>z50z40z30z20z10z00<28>f00e00d00<3\ 1>FFF } spaghetti { ; Jonathan Osuch josuch(a)fractint.org reset=2004 type=mandel passes=o center-mag=-0.116813/0.0273794/2.73224 params=0/0 float=y inside=0 colors=00000z<3>00i00a<3>00L00H00D<2>000<10>d0Lg0Nk0P<3>z0Xv0Vr0Tp0Sn0R<\ 6>O0CK0AG08<3>000<9>X0a_0dc0h<3>p0w<9>K0NH0JD0F<3>000<9>bbbfffjjj<3>zzz<\ 9>OOOKKKGGG<3>000L00<8>k00<4>z00<2>p00l00h00d00a00<3>N00J00F00<3>000<9>b\ L0fN0jP0<3>zX0<9>OC0KA0G80<3>000<9>__0cb0gf0<3>ut0<9>ML0II0FE0<3>000GA4<\ 7>7c26g25k2<2>2v10z00w0<8>0O00K00G0<3>000<14>00v }

5 22

FOTD 02-12-04 (Alfred E Big-Ears [4])
by Jim Muth 02 Dec '04

02 Dec '04

FOTD -- December 02, 2004 (Rating 4) Fractal visionaries and enthusiasts: Today's fractal was created by the 'sqr(1/fn)' formula, a rather harmless little formula with few grand aspirations. With no variable parameters and a choice of only one function, much of this function's exploration involves trying the different outside and inside options. To create today's image, I chose the 'atan' function, inside=bof61, and outside=atan. The result is a rather goofy picture that reminds me of a certain goofy comic character. So I named the image "Alfred E Big-Ears". The rating is only a 4, but with a render time of only 41 seconds on my ancient P200 machine, the image is worth a look. The smooth metallic texture of the pinkish head contrasts nicely with the rough grainy texture of the elephant-like ears, making the rating perhaps a bit conservative. And with such a short render time, the image has an absolute worth of 576. Mr. Big-Ears can be found on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> patiently waiting to be downloaded. The sun was warm enough during most of Wednesday here at Fractal Central, and the 57F 14C temperature was mild enough, but the wind blew at 50mph 80kph for most of the day, and the roaring in the trees made the cats far too skittish to enjoy the outdoors. They satisfied themselves instead with a treat of tuna in the evening. This morning is partly cloudy. The wind has abated, but it is colder. Time will tell how the dynamic duo makes out. The work is a bit heavy today, so I had best get busy. The next fractal will appear in 24 hours. Until then, take care, and watch your credulity. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Alfred_E_Big-Ears { ; time=0:00:41.69--SF5 on a P200 reset=2004 type=sqr(1/fn) function=atan float=y center-mag=1.77636e-015/-2.22045e-015/0.385071 maxiter=255 bailout=36 inside=bof61 outside=atan logmap=yes symmetry=xyaxis periodicity=0 colors=000LIgGIfIIeGIdEIcCJbAJa8J`6J_5JZ8KYAKXCKWF\ KVHKUJLTLLSOLRQLQSLPULQXMRZMS`MTbMUeMVgMWiNXkNYnNZ\ pN_rNZrLarNdrLgrOisQltSouUpvWpwYox_nyamzcmyakx`iwZ\ hvYfuWetVcsTarS`qQZpPYoNWoMVnNWnOXnPYnQZnR_nR`nSan\ TbnUcnVdnVdnWenXfnYgnZhnZin_jn`knalnbmnbmncnndonep\ nfqnfrngsnhtniunjvmkunjvnkvnkvnlvolvomwomwonwoowpo\ wppwppxpqxqqxqrxqsxqsxqtyrtyruyruyrvyrvypsvnptlmrk\ jpihngekebid_gbXe`VcZS`YPZWMXUJVSHTREQPBON8ML5KK3I\ L4HL4HL4HM4HM4HM4HM4HN4HN4HN4HN5GO5GO5GO5GO5GP5GP5\ GP5GP5GQ5GQ6FQ6FQ6FR6FR6FR6FR6FS6FS6FS6FU4GS6FR7FQ\ 8EP9EOAENBDMCDLDCKECJFCIGBHHBGLAFJAENADL9CR9BN8AR8\ 9T8KW7KZ7Ua7KYAKXDCSFESIGOKINNKLPMISOHVQGXSE_UDaWC\ dYBf_Aia8lc7ne6qg5si4vi2zj3xj4wj4vj5uk5tk6sk6rk7qk\ 8pl8ol9nl9mlAlmAkmBjmBimChmDgnDfnEenEdnFcoFboGaoH`\ oH_oIZpIYpJXpJWpKVrHWpKUnMTmPSkRQiUPhWOfZNd`LccKae\ K_gKZiKYkKXmKWoKVqKUsKTuK } END PARAMETER FILE=========================================

1 0

Buddhabrot
by Gerald K. Dobiasovsky 02 Dec '04

02 Dec '04

This my try at the new "passes=o" option, coaxing Fractint *not* to plot all Mandelbrot orbits, but only those outside the set (aka the well-known Buddhabrot). The formula uses Hiram Berry's idea of a rectangular grid of starting points independent of the actual display window (however, the actual screen resolution is used to subdivide the rectangle into a grid - but there's an option to further subdivide those "pixels"). Another option allows to avoid plotting orbits below a given iteration threshold (that is, starting points too far away from the fractal's border). Warning, patience required ;-) On my ancient Pentium 233 MMX an 1024x768 image produced by this par took about 6 hours 40 minutes! Regards, Gerald --------------- Begin .par (amd frm:) ------------------- Buddhabrot {;Variation for passes=o ; reset=2004 type=formula formulafile=spezial.frm formulaname=BuddhabrotOrd passes=o corners=-2.2/1/-1.2/1.2 params=-2.2/1.2/3.2/-2.4/0/0/6.28/3/32/0 float=y maxiter=4610 outside=summ periodicity=0 colors=(a)gamma1.map } frm:BuddhabrotOrd {;Ordered subpixel grid ;passes=o, periodicity=no ;maxit > 2*(pixelgridnum^2)*(maxiter per orbit) ;------------------------------------------------------------ ;p1 : Starting corner of area-of-initial-points ;p2r: Extent of area-of-initial-points in real direction ;p2i: Extent of area-of-initial-points in imaginary direction ;p3 : Initial z (usually 0) ;p4r: Bailout ;p4i: Pixelgridnum (i.e.: 2 --> 2x2 subdivision ; --> 4 orbits per pixel) ;p5r: Minimum iterations ; (escaping orbits with less won't be plotted) ;------------------------------------------------------------ ; n = imag(p4), nm1 = n - 1 smax = scrnmax - (1,1)/n dx = real(p2)/real(smax), dy = flip(imag(p2)/imag(smax)) c = c0 = p1 + real(scrnpix)*dx + imag(scrnpix)*dy imax = floor((maxit-1)*0.5/sqr(n)) z = 999999, zz = p3 xi = yi = j = exit = plot = 0: IF (plot) j = j - 1 z = sqr(z) + c ELSE IF (p4 < |zz|) IF (p5 > j) j = 0 ELSE plot = 1 z = p3 ENDIF ELSEIF (imax <= j) j = 0 ELSE j = j + 1 zz = sqr(zz) + c ENDIF ENDIF IF (j <= 0) IF (xi < nm1) xi = xi + 1 ELSE xi = 0 yi = yi + 1 ENDIF IF (yi >= n) exit = 1 ELSE j = plot = 0 c = c0 + (xi*dx+yi*dy)/n z = 999999, zz = p3 ENDIF ENDIF exit == 0 } ----------------- End .par (amd frm:) ---------------------

1 0

FOTD 12-11-04 (Infinite Passage [7])
by Jim Muth 02 Dec '04

02 Dec '04

FOTD -- November 12, 2004 (Rating 7) Fractal visionaries and enthusiasts: Today's fractal takes us to the mandphoenix formula, a formula that gave me quite a battle when I started working with it. The formula has three variations, which are chosen by setting the degree (the third parameter) to 0, 2, or -3. For today's image I set the degree to -3. I worked with the formula almost 1/2 hour, finding nothing but scenes that reminded me of uninteresting odd slices of the Julibrot. I was almost ready to give up and accept one of those inferior images, when I stumbled upon the area of order that appears in today's picture. Suspecting that I could make something of the scene, I began juggling the colors. Not too much happened. Then I tried the different inside fill options, and found that the 'fmod' fill works quite well. I left the outside at the default 'iter', and began rotating and changing the colors again. A few minutes later, today's image appeared, quite by accident. Only a small amount of color tweaking was needed to finish the job. The image reminds me of a long straight passage, with exotic light-poles illuminating the way. It might be the tunnel to the next world that is sometimes reported by those near death. Or it could be nothing more than a backdrop for a scene in some sci-fi film that has not yet been made. Whatever it is, the passage goes a very long way, which is the reason for the name "Infinite Passage". Unfortunately, the passage remains unchanged as it stretches to infinity. This makes for a rather boring trip, so I satisfied myself with a view down the passage from the place where it starts. The rating of a 7 might be a bit liberal, but I did put more than average time into it, and it has that quality that brings a second glance. (BTW, this is an all-important thing to design into advertisements, so I am constantly seeking it.) The render time of just under 2 minutes results in an overall worth of 374. Those who prefer not to render may see the infinite passage by downloading the completed GIF file from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The passage might be infinite, but the download time will not. Warm sun and a temperature of 61F 16C on Thursday here at Fractal Central made the cats happy and me also . . . . but today is cold and rainy. I fear the duo will have a rough day. My day will be fair enough if I find a worthy fractal for tomorrow's FOTD. If not, then my day will be un-fair. Check tomorrow to see how things go. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Infinite_Passage { ; time=0:01:52.32--SF5 on a P200 reset=2003 type=mandphoenix passes=1 float=y center-mag=-0.80000296758685600/+0.800015599164927\ 40/326.9362/1/180 params=0.8/-0.8/-3 maxiter=1200 bailout=9 inside=fmod logmap=9 periodicity=10 colors=000LFSK8QK1OM3MO5LQ7KR8JTAIVCHWDGQFFSHEUIDW\ KCZMBaNAdP9gR8jS7lU6nW5oX4rUAtRGwOMyMRvKQsJQqHQnGQ\ lEQiDQgBQdAQb9QcCPcEOdGNdJMeLLeNKeQKfSJfUIgXHgZGh`\ FhcFheEigDijCjlBjnAjpAhn9fm9el8cj8ai8`h7Zg7Ye6Wd6U\ c6Tb5R`5Q_4OZ4MY4LW3JV3IU2GT2ER2DQ1BP1AO19M88LE7JK\ 6IQ5GW4Fa3Dg2Cm1As09y1Dx1Hw2Kw2Ov2Rv3Vu3Yu3at4es4h\ s4lr5or5sq5vq8orAhrCarEWrGPrIIrKCrMJiOP`QVTSaKUgBW\ m3ZjAahHdeOfcVi`alZhnXolfZkpJilNghQfdTd`XbX_aTb_Pf\ YLiXHlVDpT9sS5vU7tW9sXBrZCq_EpaGobHndJmeLkgNjhOijQ\ hkSgmTfnVepXdqYcnbXkgRhmKmsEty8wyAwzCwzUwyZwycwyhw\ ymwxrwxvwxzzzzzzzzzzzzzzzzzzzzzzzzzXXoYYnYYmZYmZZl\ _Zk__j`_i`_iZZkXYmVXnTWpSVqQUsOTtMSvKRxJQyHPzFOzDN\ zCMzFLzHLzJLzLLzOLzQKzSKzUKzXKzZKz`JybJyeJxgJxiJwk\ JwdHrZFnSDiMBeGAaND_TFYZIWdKUjNSpPQvSOzUNwWMsYMo_L\ j`LfbKbdKZfJUgJQiIMkIIlIHhGGdEF`CEXADU9LVKTVV`VefZ\ ckaapd`ugZzjYxiWviUMTWLMU } END PARAMETER FILE=========================================

3 2

Re: Fractint 20.04 DOS ver reproduces the posted WOW image correctly
by Vortex Swirling 01 Dec '04

01 Dec '04

Thanks Hal. Check my last post under the Can't reproduce WOW image thread (which should now be Can...). Once I got a setup where I could boot up to Dos and try it, it works ok in native Dos. I posted some pictures under different resolutions. Roger -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.289 / Virus Database: 265.4.4 - Release Date: 11/30/2004

1 0

FOTD 01-12-04 (Spider-Arches [8])
by Jim Muth 01 Dec '04

01 Dec '04

FOTD -- December 01, 2004 (Rating 8) Fractal visionaries and enthusiasts: Today's striking fractal takes us to the 'spider' formula. We are coming close to the end of the list, but, as today's image shows, the goodies are not yet quite exhausted. I did little exploring in today's formula. I did not need to, as the center of interest was obvious in the default image. The perturbed versions merely twist and distort the spidery arms that give this formula its name. The rating of an 8 is due almost entirely to the coloring. I could not resist the urge to turn the scene into another endless pathway to the infinite. The reason for the name Spider-Arches is obvious. The rating of a 6 may be a bit overdone, but I rather like the strong coloring. The arched pathway may be seen, but not traversed, by running the included parameter file, or by downloading the finished GIF image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The clouds increased as the day progressed here at Fractal Central on Tuesday, but the rain held off until after dark, which gave the fractal cat duo a pleasant afternoon in the holly thicket. The temperature of 52F 11C was a bit chilly, but they didn't seem to mind. When evening came, only a small treat was needed to keep them happy. This morning is starting with heavy rain and high wind -- two things the cats do not like. I fear they will not have another good day. My day will be within reason, which is all I could ask for. The next fractal is only 24 hours away. Until then, take care, and did fractals exist before the big bang? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Spider-Arches { ; time=0:01:49.19--SF5 on a P200 reset=2004 type=spider passes=1 center-mag=-0.0086\ 7751/0/19.33333/1/-90/3.88578058618805e-016 float=y params=0/0 float=y maxiter=255 bailout=9 inside=bof60 outside=tdis logmap=yes periodicity=10 colors=000mtzafpSXfPPZLJRP8PU7LY6Ib5Eg4Bk38nB7pI6r\ Q5ua4vi3xu2zz2uz9puGkqNgnUbm`YlgUkmTjkSijRhhQhgPge\ OfdNfbMeaLd`KdZJcYIbWHbVGaTF`SE`RH_RKZROYSRXSnMcpW\ drfftphvziklaaZUSMNRNPRORQPSQPUQQWPRXPRZPS`OTaOUcO\ UeNVfNWhNWiPRlQNnSJqTFsVBvW7xX8wY9vZ9v_Au`BtaBtbCs\ cDrdDreEqfFpgFpdHqbIr`JrZLsXMtVNtTPuRQvPRvNTwLUxJV\ xSYv``tibrrepzgnxhmvhmthmrilpilnilljkjjkhjkjegk`dl\ XamSYnNVoJSkMSgPScRS_USWXSSZSOaSLcSLbVLaYLa_L`bL`e\ L_gL_jLZmLZoMbiMfcMiYMmSMpNPpLSpKVpJYpI`pHcpGfpEip\ DlpCopBrpAtp9uoAunBumBulCukCujDujDviEvhFvgFvfGveGv\ dHvdHnfIfhI_iISkILlIMkHMjHMiHMiHMhGMgGMgGMfGMeFMeF\ MdFMcFMcEMbEMaEMaEVZObWYkTgsQqoQskQujTvjVwiXwiZxh`\ xhbyhdyffxegwdhvcivbju`kt_lsZmsYnrXoqVppUqpTroSsnR\ tmQumOtlMtkKskIsjHsjFriDriBrh9qg8qg6qf4pf2pe1pe5lf\ 9hfDegGagKZhOVhSRhVOiZKibHjfDjiAjkCklElnGloImqKmrM\ nsOnrhOleXgbdb`lcbmdcnedo } END PARAMETER FILE=========================================

1 0

Re: [Fractint] Can't reproduce WOW image
by Vortex Swirling 01 Dec '04

01 Dec '04

I connected and formatted an old disk to fat32, then copied Fractint onto it. Then I booted up under a Windows 98 startup disk and was able to access it in Dos mode. The effort paid off. I was able to generate the WOW par in three resolutions which I posted. I was able to set the parameter all the way up to 141. At 141 it generated a blank screen but at 140 it could generate an image. If I set it at 16 and tried different resolutions all the images were the same as this one only sharper or less sharp. http://rogerkaufman.mystarband.net/WOW.SF6.gif That is to say it didn't generate alternate images at different resolutions as it did running under XP. I suppose the different looking images could occur if the parameter said 16 but it was actually something different. So its a memory problem such that in XP there just isn't enough memory to allocate when the parameter is set to 100. At least not with any tweaking I did. http://rogerkaufman.mystarband.net/WOW_640x480.gif http://rogerkaufman.mystarband.net/WOW_800x600.gif http://rogerkaufman.mystarband.net/WOW_1280x1024.gif -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.289 / Virus Database: 265.4.4 - Release Date: 11/30/2004

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FOTD 22-11-04 (Quantae [NA])
by Jim Muth 01 Dec '04

01 Dec '04

FOTD -- November 22, 2004 (Rating NA) Fractal visionaries and enthusiasts: Quantum mechanics has become quite trendy as of late. Those with only a layman's idea of what it is about (I am in that group) have given it almost a miraculous meaning. I doubt some way-out ideas such as the quantum world being the place where disembodied souls go after death, but one thing seems certain -- that in the quantum world that lies underneath the intuitive everyday world revealed by our senses, things are far different than they are up here. My own view is that a structure shares much of the nature of its building blocks, and therefore the objective world of material objects and energies, which is com- posed of quantum stuff, is not as real as it appears. This im- plies that, by comparison, the subjective world of thoughts and visions is not as unreal as it appears. My view is not scienti- fic -- it is not supposed to be. It is verging on mystical. I mention all this because I have named today's image "Quantae", which I have decided is the plural of 'quantum'. I gave it this name because today's marksmandel formula does nothing more than multiply the Mandelbrot set, and today's image is one that could have been found more simply and quickly with the mandel formula. To make things as interesting as possible, I set the extra para- meter to the integer 32767, which is as high as it can be set without the formula defaulting back to 1. The parent fractal appears as a simple blue ring. (This ring seems suspicious. It is most likely an artifact of the math routine.) Around the in- terior of the ring lie 32767 identical lobes, each one contain- ing all the detail of the Mandelbrot set. I chose to explore a lobe centered on the negative real axis. Since I found nothing new in my adventures, I could not give the image a rating. It will be forever unrated, a misplaced bit of a spurious Mandelbrot set that does not really exist. Fortu- nately, the unrated image renders in almost exactly one minute. With no rating, it has no absolute worth. The quantae may be seen by running the parameter file or by down- loading the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Sunday remained cloudy here at Fractal Central, but with a temp- erature of 63F 17C it was mild enough for the dynamic duo to enjoy the afternoon in the holly thicket at the bottom of the yard. I checked their whereabouts every half hour or so, and no unusual activity was ever apparent, so I assume they had a peace- ful afternoon. Only a small treat was needed in the evening to bring their good day to a satisfying close. Today is starting cloudy again, but in contrast to Sunday, rain is predicted. We will see how the duo makes out. My work is light enough for me to finish early this afternoon, so it looks like a satisfying day for me also. Until tomorrow, when the next FOTD appears, take care, and watch your quantum number. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Quantae { ; time=0:00:59.96--SF5 on a P200 reset=2004 type=marksmandel center-mag=-1.00000650079374100/+0.000003270883578\ 03/2.892656e+010/1/-152.5/0.000111253639052073805 params=0/0/32767 float=y maxiter=1000 bailout=9 inside=0 periodicity=10 colors=000HpGEhEB`BAP68T8YxKUxIQwGNpEJjDFcBCY98R76\ xC5xB5xA5rA5l95g85a85W75Q6XmVShQNcMJZIEUE9PAYxsUxm\ RxgOvbLpXHiSEcMBXH8RByxTrvQlqNflL_gIUcGOZDHUBBP8zx\ quxmptikqefmaaiYYfUTbQOZMJWIESE9OAsxHnwGisFeoE`kDW\ gCScBN_AIW9ES89O7uxQgtLVhGIXBzKtlLgYLVJLIyxruxnqxk\ muhirdfoablZZiWVeSRbPO_MKXJGUFCRC8O96xu5xo5tj5oe5k\ `5fW5bQ5YL5UG5PBajz_hyYguWeqUcnSajQ_fOYbMW_JUWHSSF\ QODOLBMH5KD5I55G5zqzznzwkwrhrmemhbhc_cZXZUUUPRPFOK\ MfVGZMASEohrechXZZNUPEPFckOYfLSbIMYFrjzmgzjdzdaw__\ rVXmQVhKScFQKANDJ_uGXjDU`ARQ7OGHxzGvuFspEokDlgChbB\ eYAaT9ZP8VK7SF6OAlcRc_MVWIMSEDOAtiCkdBb`AVX9MT8DP7\ ixAWt8Ib7BRWAQUzrSzmRzZPzPN8OM8OK8OJ7NH7NF6ME6MC6M\ A5L95L7YxVTxRPsNLlKHeGDZD9S9LxQDjGDxz9fYcXl`WhYVdV\ UaSTYPSVMRRJQNGPKDOGAND7M9zxyvxspxmjwhdqbZlYTfSN`M\ HWHBQBGxEEtDDpCClBBhAAdA9`98X87T76P6oxihxcasYVlSPe\ NIZHBSBvxEPxRQxQRxPNxMKxJ } END PARAMETER FILE=========================================

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FOTD 30-11-04 (Seahorse Variation [3])
by Jim Muth 30 Nov '04

30 Nov '04

FOTD -- November 30, 2004 (Rating 4) Fractal visionaries and enthusiasts: With today's image we move on to the Julia version of the 'quat' formula, and find that the world of eight dimensions has suddenly revealed new and unexpected variations of the familiar Julia sets. For today's image I chose one of the most familiar Julia sets, the set associated with Seahorse Valley, and, fixing the real(p1) parameter at -0.75, I rolled out the evolver and started changing the other five. The unexpected variations that appeared on the screen seemed infinite. With so many interesting possibilities, which one should I choose? I started flipping a coin. The image that was fortunate enough to be the last to be eliminated appears, with its parameters rounded, as the FOTD for today. An image that was chosen by chance rather than discretion can hardly be expected to be a prize winner. Today's image therefore rates a 4, which is one point above the rating of yesterday's funny face. The minimal rating gets a boost from the render time, which at only 13-1/2 seconds, gives an overall worth of 1798 to the image. The download is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A fine but slightly chilly day here at Fractal Central on Thursday made for rather contented cats. They wished the temperature had gone higher than 48F 9C, but did not complain until they came inside at sundown, when they shouted loudly for extra tuna. They got their wish. Today is starting partly cloudy, but rain is supposedly on the way. Hopefully, it will hold off until after the cats have had their outing. My day will be good enough if I finish the work before 3pm. Right now, it looks like I'll have no trouble. And then it's on to the FOTD. So until next time, take care, and watch for those lurking fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Seahorse_Variation { ; time=0:00:13.35--SF5 on a P200 reset=2004 type=quatjul center-mag=0.08224/0.03834\ 91/1.103753/1/-25/3.8857806e-016 params=-0.75/0.09\ /-0.01/-0.09/0.1/0.09 float=y maxiter=300 bailout=9 inside=255 outside=real logmap=9 periodicity=0 colors=000WWaWW`WW_WWZWWYVWYUWYTWXSWWRWVQWUPVTOUSN\ TQMSOORMQQLSPJUOHWNGZME`LCaKAaL9aM7aN5aP4aR7aU9aXC\ a_EdcGfgJikLknOnoQppSnqQmrPlsOktMjtLitKgtIftHesGds\ EcrEboIekMhgQkcUn_UqWUrSVrOVrKVrHVrJVrLVrNVrPVrRVr\ TVrVVrXVrYVq_ZqaapcdpegpgjtcPw`4naEebOYcX`XTbQPeJL\ gDIeGJdJKbMLaPM`SNZVOYXPW_QVbRUeSShTRkUQmUSkTTiTVh\ TWfTXeTZcS_aSa`SbZScYSeWRfURhTRiRRjQRSepQgnPhmNilM\ jkKljJmiIngGofFqeDrdCscBtbYvjtxrruqqrpoopnlolinkfn\ icmh`mfYleVkcSkbPj`Mi_JiYGhXEhVJeUNcSR`RVZPZXObUMf\ SLjQPlRSnSVpTZrUatVduWcrXcoXclXciXcfXccYc`YcYYbVYb\ SYbPZbMZbJZbGZbDZbAZWJbQSfK`jEin8rr2zu3yq4ym5yj6yf\ 6xc7x_8xX9xT9xQMkNYZLjMJvAHnDEfFCZI9RK7JN4BP2HTBMW\ JSZRXaZbdfggnljviktglrempcnn`olZpjXqhVrfTsdQtbOu`M\ vZKwXIwVLtXNqZQn`SkbUhcXeeZcg``icYkeVlgSnjPplMrnKs\ oMtpOuqRvrTwsWxtYyt_zoZykYygXybWyZVyVUxRTxMSxIRxEQ\ xAPx8So7Ug6X_4ZSb7Sa3TYAU } END PARAMETER FILE=========================================

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