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FOTD 19-08-05 (Bubbling Fantasia [8])
by Jim Muth 19 Aug '05

19 Aug '05

FOTD -- August 19, 2005 (Rating 8) Fractal visionaries and enthusiasts: The FOTD hiatus has served not only to eliminate the work back-up, but it also has given me a chance to recharge my phil- osophical batteries, which have been flat for several months. The resulting discussion about the nature of the 'self', which is just a bit inspired, appears in the philofractal version of today's discussion. Today's image lies well-hidden in the fractal that results when 0.75 negative parts of both Z^(-1.1) and Z^(-5.5) are combined and (1/C) is added. The parent fractal consists of a shapeless central ocean filled with small islands, with tiny isolated Man- delbrot sets scattered some distance inland. The most prominent of these M-sets lies some distance west of the central ocean. Today's scene is located in one of several chains of filaments extending from the East Valley of this prominent smaller M-set. I half-evaporated the image by setting the escape radius to a relatively large value of 3100. Interest was then added by rendering the scene with the inside set to 'bof61' and the outside set to 'tdis'. I named the result "Bubbling Fantasia". Such a name sounds intriguing but has little connection to the appearance of the image. The colors are a bit too brilliant, making the rating of an 8 perhaps a bit excessive. The image is still a pleasing one to view however, so the much-above-average rating will remain. The render time of 9-1/2 minutes is within reason for an image that rates an 8. Those who do not render may download the com- pleted GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The philosophical discussion is included at this point in the philofractal version of today's FOTD. A near perfect day here at Fractal Central on Thursday, with warm sun, low humidity, and a high temperature of 86F 30C, left the fractal cats in one of their best moods ever. No tuna was needed in the evening to keep them happy, but I gave them a small treat anyway. This morning is starting mild, but with light showers. Could the day turn out bad? With the work once again under control, I expect my day to be uneventful. But one can never be sure with two cats and unpre- dictable customers to contend with. The next FOTD will appear in 24 short hours, or 24 long hours, depending on your sense of time. Until then, take care, and as you watch yourself move through life, keep wondering who or what is doing the watching and who or what is being watched. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Bubbling_Fantasia { ; time=0:09:37.37--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-1.82869168737630700/-0.247178934218572\ 90/3.123788e+011/1/30/0.0221353129476179328 params=-0.75/-1.1/-0.75/-5.5/0/3000 maxiter=1400 float=y inside=bof61 outside=tdis periodicity=10 colors=000z1Mz0Gz0Az06z43zD0zN0zX0zd0ti0nn9fpH`vQT\ z_NzgGzpAzz4zzExtNifYVTfGGdHEdJEcKEcMDcNDaPDaQD`QC\ `QC`QC_QC_QAYQAYSAYSA_TG_VK_VQ_YV_``_ada_cdXcgSakP\ anKapG`tC`w9`z4_z0_z0_z4avAdpGflMigSlcYn_cpVirX`oY\ Sl_Ki_Cf`4ca0`a0Yc0Vd0Tf0Sg0Qi0Pk0Nl0Mn0Kn0JKNd0iz\ 0cv0_p4Vl9PfCKaGGYKASP6NT1JX0EX6JXDMXKPXSSX_XXf_Xn\ aXvdXzg`zkczlpv3iz0cz0`v0Yo1Vg6TaAQVENPJKHNJCSG4XD\ 0`C0cA0X90Q90K70E71964M46Y49k3Aw3Cz6Hz9NzCTzEYwHct\ KipNonPtlSvnTwnVxnXznYzn_znczngznnzorzowzoxzozzozz\ ozzozzoxznvzlrzlozklziizifzgcwgavf`td_pdYocXncSl_P\ kVMkQJiMGiHDgEAgA7f64f11d00d04c0Aa0E`0K`0Q_0VY0`Y0\ fX0kV0pT0wT0zS1zQ1zQ1zT6xV9rXClYEd`H_aKTcNNdQMcSKa\ TK`VJ`VJ_XHYYHYYYcTngPzlKngX_cgK_t7VzCSzEQzHPzMNxP\ MwSJvXHt_GraEpfDoiAnl9lp7kt6iw4irAlnGniKofQpaVrY`t\ VfvQkwMpxJvz_xfozNnzSnzXnz`nzclzglzllzplztkzxkzzkz\ zkzznwzpnwtfpwYkxQdzHYz9S } 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] Making an avi from Fractint
by Margaret Willmer 18 Aug '05

18 Aug '05

Paul N. Lee wrote: > Margaret Willmer wrote: > >>I have now installed the programme on >>my windows PC and have it all working >>fine except that I would like it not >>to take up the whole screen. I've >>looked all through the file list and >>cannot see a .bat or anything else >>where I might change the setting. > > > FractInt is a very old DOS program, and was only designed to have the > "display window" for it's images to be at full-screen. You could try > right-clicking the actual executable module to modify the Properties, > but I believe it would only cause the program to give a warning message > about it not being able to run in anything but a "Normal Window", as > opposed to a "Minimized" way. > > The only other option is to use the "Disk-Video" modes to write directly > to disk and not even use a video adapter at all. (See the documentation > that is generated when running FRACTINT.EXE -DOC from the command line. > The basic info may be found somewhere around page 157, section 6.2.) > > >>I am interested in making an .avi file, >>thence a dv film, from the colour cycling >>to use as an effect in a play. Does >>anyone know if this can be done. I have >>tried the windows version of fractint but >>the colour scrolling doesn't work. I am >>aware that Fractal Explorer has an .avi >>making mode and will use this if I have >>to but it is the colour cycling that I >>really wanted. > > > First off, the Windows version does work when you use the latest copy of > WinFract, which may be found at this location: > http://www.Nahee.com/Software/ > > > Sincerely, > P.N.L. > ------------------------------------------------- > http://home.att.net/~Paul.N.Lee/PNL_Fractals.html > http://www.Nahee.com/Fractals/ > Thank you for this information, I now have the latest version and colour-cycling. I now have to fathom a way of saving that to .avi but I'll have a go and if I suceed I'll post a solution. Many thanks Margaret -- London NW6 1HZ -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.338 / Virus Database: 267.10.12/75 - Release Date: 17/08/2005

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Next FOTD to appear in 3 days
by Jim Muth 16 Aug '05

16 Aug '05

Fractal visionaries and enthusiasts: Good news! The work backlog is shrinking, and the next FOTD, titled "Bubbling Fantasia", should appear in 3 days on Friday, August 19. Until then, be of good cheer. Jim M.

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Making an avi from Fractint
by Margaret Willmer 16 Aug '05

16 Aug '05

Hello I played with Fractint on my old DOS PCs and remembered the colour cycling mode. I even have a boot "Fractal Creations" from 1993!! I have now installed the programme on my windows PC and have it all working fine except that I would like it not to take up the whole screen. I've looked all through the file list and cannot see a .bat or anything else where I might change the setting. I am interested in making an .avi file, thence a dv film, from the colour cycling to use as an effect in a play. Does anyone know if this can be done. I have tried the windows version of fractint but the colour scrolling doesn't work. I am aware that Fractal Explorer has an .avi making mode and will use this if I have to but it is the colour cycling that I really wanted. Can anyone help, I would be most grateful Margaret -- Margaret Willmer London NW6 1HZ -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.338 / Virus Database: 267.10.10/73 - Release Date: 15/08/2005

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Re: [Fractint] Re: Web Host
by Russell Walsmith 15 Aug '05

15 Aug '05

----- Original Message ----- From: JackOfTradeZ <JackOfTradeZ(a)comcast.net> To: fractint(a)mailman.xmission.com Subject: [Fractint] Re: Web Host Date: Sat, 2 Jul 2005 17:03:47 -0600 > > ""To oversimplify the situation, classroom Earth is pass/fail: if you die, > you repeat the course. To ascend is to demonstrate a mastery of the material > realm that makes reincarnation an option, rather than an obligation. Of > course this idea may be pure nonsense... but since we all know what we've > got coming according to the conventional belief system, what have we to lose > by contemplating that this alternative, a fundamental premise of many > ancient mystical traditions, may be true?"" > > Sounds like Hindu or something to me - like, if you fail try and come back > and try again until you get it right. Then ascend to the next level of > existence. Sounds way cool to me! Actually this info is at the core of all religions in my opinion, just buried under the extraneous stuff so deeply it is difficult to discern. That's why I like the modern versions of this information, which typically is "channeled"; i.e., downloaded from the Cosmic Consciousness. E.g., http://www.askanditisgiven.com/contents/chapter-16/index.php > > You looking for a web host Russ (or NY1 else)? Check out: > > 1and1.com > > They are advertising in all the computer 'zines. It is my host for > "fractal-animation.net" and they are really cool. Like $29 for 6 months and > you get EVERYTHING. Check it out. Good suggestion: I've gotten a URL and I'll set up the site soon... Thanks. Meanwhile, there has been a lot of interest in the 'triternion' fractals around here (Ojai, CA). We've put them on the big screen at the local theater, and last night they were projected, to dramatic effect, on a big rock promontory at the 'Art in the Canyon' festival. We've also included your 'Muthzoom13.wmv' viddie in the program at these events, and the response has been enthusiastic. Can you go a few light years deeper? We'll have to hook up off-list to discuss this in more depth. Ciao, Russell > JoTz > > > > > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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Re: Clones and Viddies and Sex (that to get your attention <g>)
by JackOfTradeZ 15 Aug '05

15 Aug '05

Russ W. said: ""We've put them on the big screen at the local theater, and last night they were projected, to dramatic effect, on a big rock promontory at the 'Art in the Canyon' festival. We've also included your 'Muthzoom13.wmv' viddie in the program at these events, and the response has been enthusiastic. Can you go a few light years deeper? We'll have to hook up off-list to discuss this in more depth."" Why Muthzoom viddie? It's cool but not at all the best thing there. Been to my site lately? Try Chrysalis, Tesselations, Cathedral of Chaos, Crown of Creation, Eye of Hell, Psychotomimetic. Not to mention YOUR formula viddies on the extension page (link at the top). Those should go over well with any tripped out California crowd. A few lite-years deeper? Muthzoom is only E+19. Check out the Universe viddies. How does E+89 grab ya!? And #5 goes to E+38, I think it is the best one. Now clones. A few humble thoughts. The greatest danger with a cloned population is the lack of genetic diversity, which in turn creates an exceptional sensitivity to adverse environmental stimuli, such as chemical toxin, pollution, disease vectors, and predators. An entire system can be wiped out, whereas a natural "wild" population will always have enough diversity to adapt, evolve and survive. Farm animals and plants are not strictly clones, but have low genetic diversity thru selective breeding and development over centuries. See how easy and often it happens that these populations are devastated by hostile microorganisms, environmental toxins, insects, etc. A significantly large cloned human population is highly unlikely even after the technology is perfected. Why do it? I think people would just want to clone relatives that met an untimely demise. No it wouldn't be the same exact person, but close ... And why are there moral objections to cloning, which if nothing else is the creation of life, and yet abortion, which is the unjust taking of life, is ok - even a sacred constitutional right? go figure. Are FRACTALS clones? Do they not clone themselves inside out as you zoom in or around? Self-Similarity ... Stay Amazed JoTz

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FOTD 12-08-05 (Beside the Point [6])
by Jim Muth 12 Aug '05

12 Aug '05

FOTD -- August 12, 2005 (Rating 6) Fractal visionaries and enthusiasts: Bad news. Try to not be too disappointed, but this will be the last FOTD until I get the work backlog caught up. Today's somewhat over-colored image was generated by subtracting 0.8 part of Z^(1.5) from 0.8 part of Z^(-1.5), then adding (1/C). The parent fractal consists of a large distorted Mandeloid surrounded by an even larger area of chaos, with tiny Mandelbrot sets scattered through the chaos. Today's image lies in the chaos near but not inside the East Valley area of the large Mandeloid. The appearance of the scene, with its fish-net of filaments, is typical of fractals generated by negative powers of Z. I was ready to name the image "Fish-net", but then I decided that the fish-net effect was not obvious enough, and after a brief indecision, named it "Beside the Point", a name that has absolutely nothing to do with the appearance of the image. The rating of a 6 is held down by the coloring, which in my opinion is a bit too intense. The render time of 3-1/5 minutes however is well within reason, and may be eliminated entirely by downloading the already-rendered image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A sunny, hot and humid day on Thursday was interrupted by a brief heavy shower in mid-afternoon. The cats could take the temperature of 90F 32C, but when the big raindrops started splashing on the ground, they dashed for the cover of the porch and asked to come in. They were surprisingly happy for the rest of the day. Today is starting sunny and a bit warmer. It might be too hot a day for the cats. Unfortunately, the work backlog has reached the point where it must be brought under control, which means I will be unable to post a FOTD for several days. I will still be reading the list however. The next FOTD will appear in 5 days or so, sometime around the middle of next week. Until then, take care, and seek the ultimate fractal which is the source of all else. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Beside_the_Point { ; time=0:03:12.40--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-2.23533141420156200/-1.432228950187527\ 00/11804.84/1/-82.5/-2.45500147988408912e-012 params=-0.8/1.5/0.8/-1.5/0/0 float=y maxiter=450 inside=0 logmap=48 periodicity=10 colors=0000M90OB0QD0SF0UH0WI7Y70_07aIHa_V_ojVuvDzz\ 7zz0zz3zzDzzMzzXgz_QzYkzOzzKzzImzDYz9IzSYzimzzzzzz\ zzzoz5ivBasHXqMOmSIiYBec5cg9YcBVaFQYHMXIHVMDQO9OQ5\ MaHVmKaoViQKQ730HB0QIHYQYgYqqezykzqmzimyaokXoYOoIH\ q59q03q0Dy0Mz0Xz0ez0Xy0Mg0DS03B500D00K0970c00_0BY1\ MV5_S7kOBvMDzKFzQKzXOzaSzYXkXYSS_9Qa0OcMMIqM0iDDc3\ OY0_S0kk0zi0zg0ze0zc0za0z_0zY0yX0vV0uS0sQ0qO0mM0kK\ 0iK0gI0eH0cF1_D3YB5X0KH97V77S59Q3BM1DK0FI0HH0IFezs\ azo_zmXziVygQueOqaKm_IkYFgVDcS9_O7XM3SK1OH0KFIHXzO\ ziMsKKYgszI_cccXzH0zI0yI0uI0sI0oI0mI0iI0gI0cI0aI0Y\ I0XI0SI0QI0MI0KI1HI3FI3BI59I75I93I90IB0IDzzFyzDuzD\ qzDmzDizDezDazDYzDVzDSzDOzDKzDHzDDzD9zD5zD1zD0zDKz\ 0Iz0Hz0Fz0Fz0Dz1Bz19z39z37z55z55z73z71z90z90zB0zB0\ zDzzquzmqzkkzggzeazaYz_SzXOzVIzQFzO9zK5zI0zF0z00z0\ 0z00z00z00z00z00z00z00z00z00z00z00z00z00z00z00z00z\ 00z00z10z10z30z30z50z70z7 } 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: FOTD 10-08-05 (Venetian Blinds [8])
by Jim Muth 12 Aug '05

12 Aug '05

At 12:01 AM 8/11/05 -1000, David wrote: >Until men have created life from non-living matter, you can't say that >they've "created life" by cloning another living thing. They simply >reproduced an existing living thing using a more high-tech way of >triggering growth and providing nourishment than nature uses. > >Still, we've added Jim to our top-secret "clone this person" list so >that he'll have more time to make fractals! ;-) But if it's top-secret, how will I know that I've been cloned? Will I suddenly find myself in two places at once? If I don't experience being inside my clone, then the clone will not really be me. And if it's not really me, how can you be sure the clone will be obsessed with fractals like I am. What if my 'clone' hates math and fractals? What a waste of effort! Jim (not yet a clone) M.

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FOTD 10-08-05 (Venetian Blinds [8])
by Jim Muth 12 Aug '05

12 Aug '05

FOTD -- August 10, 2005 (Rating 8) Fractal visionaries and enthusiasts: I see on the news that someone has just cloned a dog. It's not much of a surprise, since they have already cloned mice, sheep, horses, cats, etc. But it does raise a theological question. Is the fact that men have created living animals evidence that God is unnecessary for the emergence of life, or is it evidence that life can arise only through the working of a higher intelli- gence? This question is one that I will discuss in detail when (if ever) the next outburst of philosophy happens. For now, we have a fractal to discuss, and a rather good one at that. The parent fractal came about when I combined a negative portion of Z^(-1.1) with 5 negative portions of Z^(-11), then added (1/C) to create one of those rambling, indescribable fractals, boring on the surface but filled with deep mysteries. Today's parent fractal is dominated by one huge open ocean. The scene of the image is located on the northern shoreline of this ocean, deep in a rather strange inverted 'V' shaped valley. I rendered it with the outside set to 'tdis', resulting in the venetian blind effect that inspired the name "Venetian Blinds". I rated the image at an 8. It is quite unlike a typical image of a typical midget, and this uniqueness gives it its value. The render time of 6 minutes is slightly slow, but this time is on my 10-year-old machine. On most modern machines the render time will be cut to around 2 minutes. This render time can be forgotten entirely by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and downloading the already-rendered GIF image from there. The clouds hung heavy on Tuesday here at Fractal Central, but no rain fell from them and the temperature stopped rising at 77F 25C. These conditions proved unexpectedly satisfactory for the cats, who spent over five hours in the holly thicket. Only a little tuna was needed to end their day happily. Today is start- ing partly cloudy with rain again forecast, but something tells me that the experts are wrong with their rain forecast, and the cats will be happy. I'll be happy when I get the work caught up, a condition that is not yet showing signs of coming about. Unless something goes wrong, the next FOTD will appear in 24 hours. Until then, take care, and does ultimate truth always need to make sense? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Venetian_Blinds { ; time=0:06:17.73--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.36941160733038520/+1.098637553115404\ 00/2.600405e+008/1/-122.5/4.31742300780260657e-005 params=-1/-1.1/-5/-11/0/0 float=y maxiter=2000 inside=0 outside=tdis periodicity=10 colors=000sVgrXhqXipYjoYkn_lm_ll`mk`njaoiaohbofbpe\ dqddrbesaet_ftYftXguVgvUhvShvUgvVfuVftXetXdtYds_br\ _br`aq``pa`oa_obYodYndXmeXmeVlfUkgUjgSjhRihRhiPgiP\ gnRcsS`uSYuUatVesVhrXjpXmnYonYql_tj_vi`vg`veavdava\ _v`YvYXuXUsUSoSRmRPiNLfLJaGGY900D9S55M00AhNifLgeLf\ dJeaJb`Ga_G`XDYVDWUDVR9SP9QN5OJ5KG0HD0E506001_upXu\ mUuiRseNn`JfVDYO5LESDqR9oP9lN5iL5fJ5bG0ZD0V90Q50K0\ 0Atuvsuvqsvorvnpvmnvkmvikvhjufhtdfqbdo`alY_iVXgUVc\ RS`NPWJLTGGO99H006abv_`vXYvVVtSUoPRlNNgJJbDGW99Q00\ EUUvSSvRRvPPtNNpLLmJJiGGeDD`99V55O00EJY0GX0GV0DU0D\ S0DR09P09N05L05J05G00D0090050000uuQuuOuuOuuMuuMuuK\ uuKttKrrHopHmnEkkEhhAefAbbA__6VV6RS1NN1GG0550sacq`\ bo_anY`mXZkVYjVWhUVfSVeRTbPSaPQ_NOXLMVJKSGKPDHNDEJ\ 9AD56901000u0vu0vu0vu0vu0vu0ts0sq0pn0om0lj0jg0ge0e\ a0aY0ZV0VR0SL0MG0H506_ugYueXscVrbUpaSn`RlZRjWPhVNf\ TLbSJ`QGYOGVKDSH9NE5JA0D6 } 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 11-08-05 (Venetian Opened [7])
by Jim Muth 11 Aug '05

11 Aug '05

FOTD -- August 11, 2005 (Rating 7) Fractal visionaries and enthusiasts: If you have a feeling of deja-vu while looking at today's image, it is not a sign that you lived a previous life on earth. It is because today's image is a repeat of yesterday's image, with only a few changes added. Those changes are in the magnitude, escape radius, and inside fill. To start, I slightly decreased the magnitude of yesterday's image to include a bit more of the surrounding features. Then I increased the escape radius from 100 to 1100, a change that partly evaporated the image. Finally, I rendered the increased 'inside' area with the 'bof61' option to add extra life. The result is today's image, which I have named "Venetian Opened", assuming that someone has opened yesterday's blinds. The final image is not quite up to yesterday's, so I could rate it no higher than a 7, but it is still worth a look, and with a render time of almost exactly 9 minutes, it is, at least in my opinion, worth the effort. Those whose opinions differ may avoid the task of rendering by downloading the pre-rendered GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Partly cloudy skies, bearable humidity, and a high temperature of 86F 30C made outdoor conditions near ideal for the fractal cats on Wednesday. In fact, the conditions were a bit too ideal. Tippy refused to come in when evening arrived, and had to be carried inside bodily, grumbling to himself all the way. Today is starting much the same. It looks like another good day for the duo. For me, the work is continuing to back up. A FOTD hiatus will likely be necessary within a day or two, but for now, it looks like the next FOTD will appear on schedule in 24 hours. Until then, take care, and when we discover what we are, will we need to ask why we are? Or are we ourselves, with our insatiable curiosity, merely inventing all these apparent mysteries? . . . Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Venetian_Opened { ; time=0:09:00.09--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.36941160733038520/+1.098637553115404\ 00/2.038718e+008/1/-122.5/4.24088685493650974e-005 params=-1/-1.1/-5/-11/0/1000 float=y maxiter=2000 inside=bof61 outside=tdis periodicity=10 colors=000K5XH4ZE3aE7aFCbGHbGMcHQcIVdI_eJdeKhfKmfL\ rgMwhJqgGkfDedAZcAZdAYeBXgBXhBWjCVkCUmCUnDTpDSqERs\ FSsHTsJVrLWrNYrPZqR_qTaqVbpXdpZep`goahocioeknglnin\ nkommpmormqslsuluvlwxkvuktqlrnlpjmngmlcnj`nUOwfUod\ QpbNp`JqZGqXCrV8sV8sV8sW8sW8sW8tX8tX8tX8tY8tY8uY8u\ Z8uZ8uZ8v_8v_8v_8v`8v`8w`8wa8wa8wb8vaCu_NrYJnWTkUP\ gSXdRWaPaYNbVLgRJhOHiKHkKGhJFgIFeIEcHDaGD_GCYFBWEB\ UEASD9QC9OC8MB7KA7IA6G95E85B84D73F65H68J7BL8EO8HR9\ KUANXAQ_BTcCWgCZjDanEdqEguFjxGmxHjwIgwKdwLavMZuOWu\ PUtQUsSTsTSrURqWRqXQpYPo_Oo`OnaNmcMmdLleKkgMhgOdhQ\ `iSXjUTkXPlZMl`ImbEndAof6pi2qi7qiDqiJqiPpiVpi`pifo\ hfoggnfhnehmdilcjlbjk`kj_ljSOGRODSODTOEUOEVOFWOGXO\ GYOHZOH_OIaOJbOJcOKdOKeOLfOMgOMhONiONjOOlOPlVglVgk\ VgjWfiWfhWegXefXdeXddYccYcbZbaZb`Za__aZ_`Y_`X`_W`_\ VaZX_XZYV`WSbUQdSNfQLhOJjMGlKEnIBpG9rD6pD8mCAjBChB\ EeAGb9I_9KY8NV7PS7RP6TN5V } 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: FOTD 08-08-05 (Sunspots [4])
by Vortex Swirling 11 Aug '05

11 Aug '05

Cool. I thought there was a way to do this. It might be documented but I couldn't find it. Yet I must have seen it somewhere. -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.338 / Virus Database: 267.10.5/68 - Release Date: 8/10/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.338 / Virus Database: 267.10.5/68 - Release Date: 8/10/2005

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Re: FOTD 08-08-05 (Sunspots [4])
by Jim Muth 10 Aug '05

10 Aug '05

At 11:36 PM 8/9/05 -0400, you wrote: >At 01:56 PM 8/9/05 -0400, Vortex S. wrote: > >>How do you zoom in on it without losing the frame? My zoom frame is >>white and I kept losing track of where it was. My solution was to >>change the background color temporarily till I was where I wanted to >>be then change it back to white. > >That's how I do it. I clicked the 'send' button before finishing the first letter. Another way of making the zoom window visible against a white background is to hold the 'ctrl' key and strike the 'del' key while the zoom box is on the screen. This changes the color of the box. Jim M.

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Re: FOTD 08-08-05 (Sunspots [4])
by Jim Muth 10 Aug '05

10 Aug '05

At 01:56 PM 8/9/05 -0400, Vortex S. wrote: >How do you zoom in on it without losing the frame? My zoom frame is >white and I kept losing track of where it was. My solution was to >change the background color temporarily till I was where I wanted to >be then change it back to white. That's how I do it. Jim M.

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FOTD 08-08-05 (Sunspots [4])
by Vortex Swirling 09 Aug '05

09 Aug '05

Worthwhile or not, I tried zooming in on one of those same spots and got a similar image. Yours is much better than what I got, though. My image was mostly white. How do you zoom in on it without losing the frame? My zoom frame is white and I kept losing track of where it was. My solution was to change the background color temporarily till I was where I wanted to be then change it back to white. -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.338 / Virus Database: 267.10.4/66 - Release Date: 8/9/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.338 / Virus Database: 267.10.4/66 - Release Date: 8/9/2005

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FOTD 09-08-05 (Strawberry Shortcake [7])
by Jim Muth 09 Aug '05

09 Aug '05

FOTD -- August 09, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's image is part of the fractal that results when 11 parts of Z^(-11) are combined with (1/Z), and (1/C) is added. The parent fractal consists of a large shapeless central ocean surrounded by spreading filaments. An uncountable infinity of midgets lies on these filaments. (Or is it a countable infi- nity? Not all infinities are the same. Given an eternity of time, some infinities could be counted; other infinities could not be counted even with an infinity of eternities in which to do the counting.) Regardless of the transfinite number of the midgets in today's parent fractal, today's scene lies in the East Valley area of the largest midget. The image has been rendered with the outside set to 'tdis', which colors the pixels according to how far they travel before escaping. Something about the coloring puts me in the mood for a huge slice of strawberry shortcake, which is why I named the image "Strawberry Shortcake". The rating of a 7 is the best of the past several days, and is actually surprising, considering how little spare time I had available to find today's fractal and color it. An above-average image that renders in 6-1/2 minutes is a joy to behold. Since this accurately describes today's image, today's image must be a joy to behold. Of course, the rendering task may be bypassed entirely by going to the popular FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and downloading the already-rendered image from there. Rain was forecast for Monday and rain arrived. Over 3 inches (8cm) fell, keeping the fractal cats confined indoors for the entire day, dashing in and out of hiding whenever they heard thunder. Needless to say, they were quite grouchy and needed generous tuna to make them bearable. (We also had a local transit bus caught in a flash flood, with 18 people needing rescue by boat. They were grouchy also.) Today is starting cloudy with more heavy rain threatening. I doubt that the day will be much if any better. For me, the work continues to pile up. It looks like that FOTD hiatus is not far off. Hopefully, it will not start tomorrow, when the next FOTD is due. Until that next FOTD appears, take care, and make the most of the least. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= StrawberyShortcake { ; time=0:06:30.79--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.81289336477290300/+1.018180081142495\ 00/2.056195e+010/1/105/-3.04511425892467491e-005 params=1/-1/11/-11/0/0 float=y maxiter=1500 inside=0 outside=tdis periodicity=10 colors=000aSE`SEZSEYSEWSFVSFTSFSSFXPLaMQfJVYQQPWMG\ bH7hDM`F`TGnLHqTLt`PvgSgjOUlLGnI2pF8gDE_BKRAQJ8WB7\ cg0Zf8UfGQfOLfWGfcCfkTRiiChfGjcKkaOlZSmXWnU_oSbpLV\ kENfDIdDEbD9aD5_D1ZL3VT5R`7Oh9KoAHhSRah`VyiRqjNjkJ\ bkGWlCPm8Hm4An13nLDmdMmwVmsUloTkkSjhRidQh`PgXOfUOf\ nHufIp_IkSJfLJaEJXKQUQXSVcQ`jOepMXcQPSUHGYNK`SNbYR\ ebUgWRkQPnJMrDKu7IxAMtCQpEUlGYhIadKe`MhXRi_Wja_jcY\ ciXXoWQtWYoWdjWkeQh`KeWEbR8_M3YHDVIMSIVQIdNJmKJvIJ\ uLItNItPHsRHrTHrVGqXGqZGiaMadSVgXNibGlg8om1qr4mp6i\ o8emAalDYkFUiHQhJNgMVjPbmRipMmoIqnEumAylFncJdWNVOS\ KGWA8_00YC5WOAU_FSjKM_THQ`BFh65pE8aMANTC9bqwTmqJik\ 9ee0a_2``4_`6Z`8Z`AYaCXaEWaGWaMQVRKOWEH`8Ae24e1Ae1\ Fe1Ke1Pe1UY4NQ6GI89AA2I97Q9BY8Ge8Km7Pt7TuEXvL_wSbx\ ZetUdpQdlLdiHceCca8cZ4cbAfeFhhLkkQmoVpr`rueuxjwplq\ imkanfVo`OqVGrQ9sK2tF5rP7qY9pgBopJjgQe_X`SdWJkRBrN\ 3qQ7qTApVEpYHp`KobOgRDcRD } 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 08-08-05 (Sunspots [4])
by Jim Muth 08 Aug '05

08 Aug '05

FOTD -- August 08, 2005 (Rating 4) Fractal visionaries and enthusiasts: Yesterday's image showed a fractal sun complete with sunspots. Today's image shows a minute part of the detail of one of those sunspots, at a point where the bits and pieces arrange them- selves into a vague spiral. The color palette and orientation are carried over from yesterday's image. The name "Sunspots" needs no explanation. The rating of a 4 shows my lack of enthusiasm for the image. The render time of under 2 minutes minimizes any possible waste of time. The finished image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A light thunder-shower Sunday morning passed harmlessly off, leading to a mostly sunny, mild afternoon. The cats must have approved, for they spent nearly 6 hours sleeping in the holly patch. Today is starting with clouds and a forecast of rain, but forecasted rain and actual rain are two different things, so I still have high hopes for a good day for the duo. For me the work continues to pile up. The time for the next FOTD hiatus might be getting close. The quality of the FOTD appears to be slipping, which is a sign that I lack the time to find worthy fractals. But at least for now, the next fractal will appear in 24 hours. Until then, take care, and if earth has been seeded with life from outer space, where did that life develop? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Sunspots { ; time=0:01:40.73--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=Mystic2 function=exp passes=t center-mag=-0.00000825688305937/-0.999999704316866\ 60/5.388757e+010 params=-3.97/-4.39/-1.62/1.54/\ 3.11/-0.51 float=y maxiter=95 inside=bof61 logmap=yes periodicity=0 colors=000ZGUSMNLRHxjFpfEcbDRZCJ`cGYPX9UQHNKPHhiJT\ bFg8ZYERONJHMlFRUc8OVEJMNFiZaaYVzzzMWHSC7RM9M84KE6\ IK8GQAPd3Sg5Ni7Ib9DHZECTERNEUH98cCGPqQCgSBYTBOVBtW\ geWXSWMl`cRqfMiWMglHUqCHv78z7Y2x8ymJh`cSPxBMoJJfRG\ YZDQeBLWAGN9BD884HH3QS3Ya3USBRIIO8PL8WT8X_8Yf8Yb8R\ _ALXCF_FLaHQdKVfM_VFMK88TND`aHhoL98WSG`jYeMPNaXYUX\ QMWIx8VmFOWOHSbzLZ`fMcZPWSRPLUIC8PFjUEeNE`HFfxEckE\ `_EYNsrUhlPZfKO`Fwf0gb4TZ8pxnBAdCIVDPLxXSnWNbWJQWF\ mENdJKWNHNSEVaPP_KJYFKBjHMTFhqEaWhALTLGwLkgPZTTNB`\ bDYPx8FlCE`JDPQCH87NWMKWJIWGGWDxufDPoESaEUOx_gdYRk\ 8y_AhPLSGDkFIaFNTESKxOoxM7aR9G88FJAstWlfpV`WcrwVjf\ MbRcUOXVKRVHKWElhi`cYP_MecHZaFS_ELYCjI_ZwkSmZLdNxW\ mxEciKUUQKWReNUQxM7aR9`CxUvxOmgJdRxUUdXZCZpDYbEXPq\ aDYZCN8HKAFIHEGPCH8fGDWFNL8BfAIWCPLxL_jPRUTJ_sdPgQ\ xF7kL9VRASHlOLbLPUHTKVKtPOdJSQPtwLkfHcRwumM`rJZcGX\ Prl1df5R`8xtbCMLDPIDRGEUD } frm:Mystic2 {; Jim Muth a=real(p1), b=imag(p1), c=real(p2), d=imag(p2), k=real(p3), f=imag(p3), g=pixel, z=(pixel)^a+(b*(pixel))^c: z=(fn1(z)+(d*(g)))^k+(f*(cos(g))) g=sqr(g), LastSqr <= 100 } END PARAMETER FILE=========================================

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FOTD 07-08-05 (Quasi-Sun [5])
by Jim Muth 07 Aug '05

07 Aug '05

FOTD -- August 07, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's fractal is totally out of control. At first glance it appears to have l-r symmetry, but this is only an illusion. It doesn't even have symmetry. There is absolutely no single theme that characterizes the image other than total random chaos. The formula behind the madness is named 'Mystic2'. I wrote it a number of years ago then promptly forgot it because it draws nothing but empty circles of radius 1. But one day I applied an active inside fill to one of the empty circles and discovered a whole new fractal world hidden in the emptiness. Unfortunately, there appears to be no recognizable system behind the fractals the formula draws. The outcome is always a sur- prise. This is good enough when one is seeking surprises, but it makes the orderly fractal searches, such as I enjoy, nearly impossible. Considering all this, I could rate the image no higher than an average 5. Today's image, which is all inside stuff, was rendered with the inside set to 'bof61'. The 'zmag' option works almost as well. I have not tried the other options, but I suspect they will give similar results. I named the image "Quasi-Sun". The brilliant white ball at top center rather resembles a blazing sun, and a closer examination will reveal spots on the surface of the sun -- sunspots no doubt. But it's only a fractal, and fractals do not support nuclear fusion, so it is only an imaginary sun. The render time of 4-1/2 minutes is fast enough for most pur- poses, whatever those purposes might be in addition to just plain enjoyment. An even faster way of viewing the disorganized image is to download it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> An acceptably mild and dry day on Saturday was just what the fractal cats needed to help them get over their recent bad moods. With a high temperature of 86F 30C making the outdoors comfortable, the cats were able to spend over 6 hours lurking in the depths of the holly patch. I have no idea why they must lurk. They never pounce on prey. This morning is starting cloudy and not too warm, but the humidity is higher and I hear distant thunder. I suppose the cats will make the best of things. For me the work is falling behind again, as it occasion- ally does. I'll try to have the next FOTD ready in 24 hours. If not, it will appear a day or so later. Until next time, take care, and sometimes chaos is good for you. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Quasi_Sun { ; time=0:04:31.88--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=Mystic2 function=exp float=y logmap=yes center-mag=-0.00000823926389345/-0.999999811601756\ 10/5661946 params=-3.97/-4.39/-1.62/1.54/3.11/-0.51 passes=1 maxiter=95 inside=bof61 periodicity=0 colors=000ZGUSMNLRHxjFpfEcbDRZCJ`cGYPX9UQHNKPHhiJT\ bFg8ZYERONJHMlFRUc8OVEJMNFiZaaYVzzzMWHSC7RM9M84KE6\ IK8GQAPd3Sg5Ni7Ib9DHZECTERNEUH98cCGPqQCgSBYTBOVBtW\ geWXSWMl`cRqfMiWMglHUqCHv78z7Y2x8ymJh`cSPxBMoJJfRG\ YZDQeBLWAGN9BD884HH3QS3Ya3USBRIIO8PL8WT8X_8Yf8Yb8R\ _ALXCF_FLaHQdKVfM_VFMK88TND`aHhoL98WSG`jYeMPNaXYUX\ QMWIx8VmFOWOHSbzLZ`fMcZPWSRPLUIC8PFjUEeNE`HFfxEckE\ `_EYNsrUhlPZfKO`Fwf0gb4TZ8pxnBAdCIVDPLxXSnWNbWJQWF\ mENdJKWNHNSEVaPP_KJYFKBjHMTFhqEaWhALTLGwLkgPZTTNB`\ bDYPx8FlCE`JDPQCH87NWMKWJIWGGWDxufDPoESaEUOx_gdYRk\ 8y_AhPLSGDkFIaFNTESKxOoxM7aR9G88FJAstWlfpV`WcrwVjf\ MbRcUOXVKRVHKWElhi`cYP_MecHZaFS_ELYCjI_ZwkSmZLdNxW\ mxEciKUUQKWReNUQxM7aR9`CxUvxOmgJdRxUUdXZCZpDYbEXPq\ aDYZCN8HKAFIHEGPCH8fGDWFNL8BfAIWCPLxL_jPRUTJ_sdPgQ\ xF7kL9VRASHlOLbLPUHTKVKtPOdJSQPtwLkfHcRwumM`rJZcGX\ Prl1df5R`8xtbCMLDPIDRGEUD } frm:Mystic2 {; Jim Muth a=real(p1), b=imag(p1), c=real(p2), d=imag(p2), k=real(p3), f=imag(p3), g=pixel, z=(pixel)^a+(b*(pixel))^c: z=(fn1(z)+(d*(g)))^k+(f*(cos(g))) g=sqr(g), LastSqr <= 100 } END PARAMETER FILE=========================================

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Interested in a laptop for portable Fractinting?
by david 07 Aug '05

07 Aug '05

I hear from a friend that the Toshiba M55 laptops use the Intel 900 chipset and support VESA. Just a thought for anyone who might be interested in taking DOS Fractint on the road. Although my Toshiba M35 runs XFractint fine. -- David gnome(a)hawaii.rr.com authenticity, honesty, community

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Fractal web site
by David Dollevoet 06 Aug '05

06 Aug '05

Greetings, My fractal web page is updated for 2005-08. http://www.djd-fractal.com David Dollevoet

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FOTD 06-08-05 (Streamliner [6])
by Jim Muth 06 Aug '05

06 Aug '05

FOTD -- August 06, 2005 (Rating 6) Fractal visionaries and enthusiasts: The brevity of today's discussion is a result of the continuing rush here at F.C. Today's fractal subtracts Z^1.01 from Z^2. The result shifts the Mandelbrot set to the east and splits the negative real axis. Today's image is located in the East Valley area of the large midget on the negative axis. I have named the image "Streamliner". This type of image always reminds me of a railroad. The glory days of the railroad are long past, but the word 'streamliner' still evokes feelings of the rails. We have seen this type of image many times before, which limits the rating to a 6. The render time of a little over 3 minutes is quite reasonable. The completed GIF image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The Friday high temperature of 95F 35C limited the cats' outdoor time to under one hour. Around 7pm it began thundering, but no storm arrived and the cats ended their day peacefully. Today is starting cloudy and a bit cooler. If all else goes well, it will be a better day for the cats. For me the work is moderate, threatening to get heavy. We'll see how it goes. The next FOTD will appear in 24 hours. Until then, take care, and things are never so good that they cannot get better. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Streamliner { ; time=0:03:22.02--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.99882094606212310/+0.001072594239131\ 53/892730.3 params=-1/1.01/1/2/0/0 float=y maxiter=5000 inside=0 logmap=62 periodicity=10 colors=00006n9FsIOwJWwL`xGdyBhy6lz2oz1jr0dh0_`8WIF\ SMNOQUKU`GYhCao8ev5it9msCprFtqbwzjtqwqwopweozWouTn\ v4ns3fp3_n3Tk3Mi3FY6UM8hBAvEDuGGuJJuLMuOPuQRuWMkaI\ agDTm9Js49y00s6KmCchIwcSvZ`vUiuQruTqtVltYgs_bsaYrd\ TrfQqhNqbQrXSsSUsMWtGZuB`u5bv0dv1br2`n2_k4dk5hk6mk\ 8qk9vkAzkGv`LrRRnHWk7SlLPlYLlkIlxLjxNixPgxSfxUdxWc\ xYbxVcjTdYReKPf7MeGKePIeXFeeDenBevVBeXEhYGj_Im`Lob\ NrcPt`TkZWbXZUVaLTdCWcAZb8aa6c`5adC`gIZjOYnVWq`Vtf\ Sq`QnWNlQLiLIfGGdADa5B_0GX8KVFOSNTQUXNa`LhdJoZQpUW\ pPapJhpEnp9tpHgaIi`Jj`Jk`Km`Ln`Lo`NpYOpWPqTQrRRsPT\ tMUuKVvHWwFXxDZyA_z8`z5az3bz1SzPHzkMzkQzkVzkZzkbzk\ gzkkzkozkWzhYzdZz`_zXazTbzQczMRzyJzxBzx4zxJznPzhUz\ cZzZczThzOmzJazLRzMFzN4zO9zPEzQJzROzRTzSYzTbzUgzUc\ zS`zRYzQVzOSzNPzMRzTSz_UzfVzmWztSzmOzfLz_HzTDzMAzG\ EzMHzSKzYNzcQziTznWzgZz`azU_zZZzbYzgXzkWzpVztZzqbz\ oezlizjmzgpzeZzcIza1z`0zg } 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 version 20.4 patch 3
by Jonathan Osuch 05 Aug '05

05 Aug '05

The latest patch to the developer's version is now available at www.fractint.org. Here's what's new: Started the cleanup of the docs. Cleaned up the map directory. Fixed the Xfractint Makefile so that install would run. Added an uninstall. Fixed Xfractint so that it can be run from an arbitrary directory and still use the directory settings in sstools.ini. As you can see, this was mostly for Xfractint, with no bug fixes. Jonathan

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FOTD 05-08-05 (Half Alive [7])
by Jim Muth 05 Aug '05

05 Aug '05

FOTD -- August 5, 2005 (Rating 7) Fractal visionaries and enthusiasts: I have named today's image "Half Alive" to make clear my doubt that fractals are fully alive. But sometimes I rather suspect that fractals might be marginally alive. They certainly grow and evolve like living systems. They come in families; they reproduce smaller copies of themselves, with complex mathemati- cal expressions acting as genetic material. I am not ready to suggest that fractals are self-aware, but considering that we have no idea what self-awareness is or where it comes from, I see no reason why such a thing might be impossible. It seems no less likely than the 175-pound chunk of meat called myself being self-aware. In the end I guess it all depends on the definition of the word 'alive'. To put my feelings in as few words as possible, of course fractals are not alive. Any fool knows that. The very idea is absurd. But do the fractals know it? That is the question. Today's image comes from a combination of Z^(-1.3) and Z^(+1.3). The parent fractal consists of two large but distorted Mandel- oids, with smaller oddly-shaped Mandeloids scattered about. Today's scene is located in a valley of one of the smaller Mandeloids. There is a midget at the center of the image, but the midget will never be reached, at least by the Fractint program as it now stands, for the midget lies far beyond resolution. The 'above average' rating of a 7 seems appropriate for today's fractal. The coloring is . . . well . . . striking, but similar scenes have appeared several times before as FOTD images, and the render time of 54 minutes makes rendering the image a chore. For rendering relief, I recommend visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and downloading the finished image from there. A temperature of 97F 36C and high humidity kept the fractal duo under the cool air most all day here at Fractal Central on Thurs- day. At the same time, I kept busy working all day. Today is starting hot again. I expect a repeat performance. The next FOTD will appear in 24 hours. Until then, take care, and where, if anywhere, did fractal life begin? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Half_Alive { ; time=0:54:24.39--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.78343573916752540/+0.000013490892506\ 23/1.158479e+012/1/112.5/-0.00146805133114015496 params=1/-1.3/-2/1.3/-0.5/0 float=y maxiter=4500 inside=zmag periodicity=10 mathtolerance=0.05/1 colors=000gHiJKPMOTPRWSUZVXaY_d`cgcfjfimilpkosmpmo\ phqqbsqYuqTwrNyrIzrDvqGrqJoqLkqOgpRdpT`pWYpYYmtPlo\ Hkk9jf1jb2ga3ea4ba4``5Z`6W`6U_7R_8P_8N_CLZGKYJIXNH\ WQGWUEVXDU`BTcASg9Sj7Rn6Qq4Pu3Ox2Ot6MqALnEKjIJgLHd\ PG`TFYXEV_CRcBOgALk9In8HoAHpCHqDGrFGsGGtIFtJFuLFvM\ EwOExPEyREySMqOTjL`cIgWFoPCvI9pPFjWKdbPZiVTp_OvdPt\ eQrfQpgRnhRmiSkjSikTglTfmSdhRbdQ``P_XOYTNWOMUKLTGK\ RCJP8IO4NRARUFWXL__QdbVhe`mheqlkvnpxosynpymlykhyjc\ yh_xgWxeSxdNxbJxaFx`Bt_DpZElYFiXGf_EdbDadC_gAXi9Vl\ 8Tn7SiBSdER`IRWLQRPQNSPIWPDZO9bO4eO0hnGSnCWo8_o4co\ 0gn3hn5in7in9jnBknEknGlnImnKmnMnnPonRonTpnVqnXqiVm\ eUiaTeYRaUQYQPUMNQIMMELJEKPEJUEI_DJGEIEEICEIAHJEJJ\ HMIKNINPHQQHTSGWTGZTFXTFVTDTTDRTDPUENVFLVGKWHIXIGY\ JEZKC_KA`K8aK6aK5bK7cK9dKBeKDfKFgKGhKIiKKjKMkKOkKP\ lKQlKQlKRlKRmKSnLSoLTpLTqLTrPapOcnNelMgkLihJkeHmcF\ o`DqYBsW9uYBs_CqaDocEmeFk } 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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No FOTD for August 04
by Jim Muth 05 Aug '05

05 Aug '05

Fractal fans: Due to a work rush here at Fractal Central there will be no FOTD for August 04. The next FOTD will appear on August 05. Sorry about the disappointment. Jim M.

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FOTD 03-08-05 (End of the Journey [6])
by Jim Muth 04 Aug '05

04 Aug '05

FOTD -- August 03, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's slow fractal, which is named "End of the Journey", shows the midget that lies invisibly at the center of yesterday's image. Once again, as in almost all very deep images, the sur- rounding features are nearly circular. This consistent circu- larity is the main reason I so rarely explore very deep in the Mandelbrot set. The image is not all that bad however, and rates a somewhat above average rating of 6. But the render time of almost 2 hours is quite slow. I recommend saving time by downloading the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a high temperature of 93F 34C, Tuesday was simply too hot for the cats to enjoy themselves outdoors. They tried the holly patch for a few minutes, then, when they found it too warm, they came inside to spend the day under the cool air. For me it was an average day. Today is starting about the same. I expect similar things from the duo. The next FOTD, hopefully better, will be posted in 24 hours. Until then, take care, and when is never forever? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= End_of_the_Journey { ; time=1:53:10.19--SF5 on a P200 reset=2004 type=mandel passes=1 center-mag=-1.99999647033372468183977516690341099/\ 3.09095179166500173123336e-13/1.368017e+031/1/-157\ .5/-6.53883197587745713e-012 params=0/0 float=y maxiter=10000 inside=0 periodicity=10 colors=000rkZolZmmZjn_ho_ep_cp``q`Zr`WsaUtaRuaPuaS\ r`Uo_WlZYiY_fXadXcaWeZVgWUiTTkRTiQRgQQePPdPObPN`OM\ _OKYNJWNIVNHTMGRMFQMEPQDOUDNXDM`DLcDKgCJjCInCHqCGu\ CFxCGrFGlHHgJHaLIWOIRQJLSJFUJAWKCVKEVKFUKHUKIUKMQK\ PMKTIKWFK_BKb7Ke4Id8GcCEbGCaKBaO9`S7_W5Z_4Zb8WZBTW\ EQTIOQLLNOIJRFGVDDYAA`77c54ZWUUus`ttftumtvstwqqsoo\ omlkkjhigdge`fcYda_b```_aZZbXYdVXeTWfRVgPUiNTjLSkJ\ RlIQmDKi9Ef48c02`35Z67Y99XBBWEDVHFTKHSMJRPLQSNPUPO\ VSMVUKVWJVYHV_GVaEVcDWeBWgAWi8Wk7Wm5Wo4Wq2Ws1Yt4Zt\ 7_tAatDbuGcuJeuMfuPgvSivVjvYkv`mwcnwfowipwllumhsme\ qmaomZmmVknSinOgnLenHcnEbnG`lI_jJYiLXgNVfOUdQScRRa\ TP`VOZWMYYLWZKVaOUcRTeUThXSj_SlbRofQqiQslPvoPxrOzu\ OvpPrkQngRkbRgZScUT_PUXLUTGVPCWL7XI3XwEuqCrlApg9na\ 7lX5jS4hT9aUEWVJQVOKWTEXY8Xa2Uc7SeBQgFOiKLkOJmSHoX\ Fq`CsdAui8wm6yq4zu6wr7to8ql9niAlfBicCf`DcYEaVFZSGW\ PHTMIRKJTOJURKVUKWXLX_LYb } END PARAMETER FILE=========================================

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Re: how to avoid the jaggedness in images calculated by Fractint?
by Hal Lane 03 Aug '05

03 Aug '05

#################################################### > Date: Sat, 30 Jul 2005 22:07:29 +0100 > From: sam ende <sam(a)sende.co.uk> > Subject: [Fractint] xfractint > To: fractint(a)mailman.xmission.com > Message-ID: <200507302207.29657.sam(a)sende.co.uk> > Content-Type: text/plain; charset="us-ascii" > hallo, i'm new to the list and wondering how to improve the > resolution/increase the picture size of images to avoid the jaggedness in > images such as this: > http://www.sende.co.uk/fract038.gif > i'm using xfractint on debian sarge. > thanks for any tips or links to tutorials. > sammi Sammi, 'Jaggies' are caused by what is called spatial aliasing. When viewing information on raster-based computer displays (both CRTs and LCDs) it is a result of sampling and viewing information at evenly spaced intervals. I do two things to combat spatial aliasing in my images. 1) I'm not familiar with the X-Fractint version of Fractint, but I assume that most of the same basic keystrokes are the same. To change the number of pixels in an image hit the <del> key (in the DOS version) and choose a higher resolution from the list of resolutions. The jaggies will decrease -- the higher the resolution of the final image, the smaller the jaggies. Many of these resolution choices supplied with Fractint are tuned to support particular graphics cards and will likely not work on your graphics card. Keep trying choices until you find the ones that work on your graphics card. The first ones to try have 'VESA' in their name. They are compatible with many graphics cards. There may be some resolutions that your card does not support. There may be some resolutions that your card supports that are not included in the default list of resolution choices. You can add to the list of resolution choices by adding lines to the Fractint control file: FRACTINT.CFG Knowing what values to put into the control registers of your graphics card usually takes detailed information about the card. However, the use I make of this file does not need this information. See below for how to modify the file and why. 2) To decrease the jaggies of a particular fractal at a given image size I calculate the image at an increased resolution (say two or four times the final intended resolution) and then use an image manipulation program to average the values of multiple adjacent pixels together. This averaging process both reduces the resolution to the final intended resolution and reduces the jaggies at the same time. You must be *certain* that the graphics manipulation program does combine the adjacent pixels and does not just resample the image -- resampling effectively throws away the extra pixels you have calculated. I have found that increasing the resolution by a factor of four in X and Y and then averaging four adjacent pixels in both X and Y gives results pleasing to me on images that originally had objectionable jaggies when calculated at a resolution of 1024 x 768. How objectionable jaggies are is both a function of the data in a particular image and of the mindset of the person viewing the image. I only use the method described above for images that I am willing to devote the 16 times more calculation time to. Calculating images at resolutions of 2048 x 1536 or 4096 x 3072 means that you need to use what is called Fractint's Disk/RAM 'Video' feature since it is likely that your graphics card will not display images at these resolutions. There are some Disk/RAM 'Video' resolutions already in the FRACTINT.CFG file I mentioned earlier, but not the resolutions listed above. However, it is easy to add your own Disk/RAM 'Video' lines in the configuration file. Simply find a Disk/RAM 'Video' resolution that works on your machine (they all should, unless X-Fractint has some special problem with Disk/RAM 'Video') and create another line that looks the same as the one that works -- with the X and Y resolutions changed. Here is an original line and two lines that I added to my DOS FRACTINT.CFG File ("clr" stands for "# of colors"): ; FRACTINT.CFG File ;key |name of adapter/mode|AX|BX|CX| DX |mode| x | y | clr | comments ;=========================================================================== ====== . . . ,Disk/RAM 'Video' , 3, 0, 0, 0, 11,1024, 768,256,For Background Fractals ,Disk/RAM 'Video' , 3, 0, 0, 0, 11,2048,1536,256,/For Bkgnd 2*(1024 x 768) ,Disk/RAM 'Video' , 3, 0, 0, 0, 11,4096,3072,256,/For Bkgnd 4*(1024 x 768) Spacing/tabs appear not to be critical in this file in DOS Fractint. In a previous posting to these email lists I noted that in modern machines during the use of "Disk/RAM 'Video'", RAM is used to hold the pixel values during the calculation -- your disk is never used. But don't forget to save your image after calculating it using Disk/RAM 'Video' mode! ====================================================== Please let me know if adding resolution lines works as easily in X-Fractint as it does in the DOS version of Fractint! ====================================================== And whether you like the results you get using the averaging method. ------------------------------------------------------- > thanks for any tips or links to tutorials. Here you go: http://spanky.triumf.ca/ and http://spanky.triumf.ca/www/fractint/preslar.html http://members.aol.com/billatny/fractopi.htm A number of the links given on the above pages have aged out. You may be able to locate the original pages in the "Wayback Machine" internet archive: http://www.archive.org/web/web.php I tested the following links and they appear to be working: Fractint Tutorial (Bill Rossi) [Note that new features have been added to later versions of Fractint over time.] http://members.aol.com/billatny/Fractint_Tutorial.htm WELCOME to the Fractint Development Team WWW pages http://www.fractint.org/ An Introduction to the Fractint Formula Parser http://spanky.triumf.ca/www/fractint/frm-tut/frm-tutor.html Anti-Aliasing Explained (Damien M. Jones) http://www.fractalus.com/info/antialias.htm Fractal Information Page (Damien M. Jones) http://www.fractalus.com/info/ PNG vs. JPEG discussed (Damien M. Jones) http://www.fractalus.com/info/png-jpeg.htm ------------------------------------------------------- I have put a copy of my own "Basic Fractint 'Cheat Sheet'" below. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### ------------------------------------------------------ Basic Fractint 'Cheat Sheet' Note: You need to be viewing a fractal or partially created fractal to type in many of the commands given below. The keystrokes don't need to be capital letters. <Esc> - go to the Main Menu page - most major commands are listed there. <Esc><Esc>Y - exits Fractint. <F1> - get help. Different help screens appear depending on what you are doing. <Tab> - view info about current (possibly incomplete) image. ------------ T - choose Type of fractal to create. S - Save image. A partial image can be saved. When reloaded *most* fractal types will continue being created. R - Reload existing image. X - set the name of the file to save the fractal in, if you do not want to use the auto-naming feature of Fractint -- which creates file names of the form: FRACTnnn.GIF You may remember that Fractint by default automatically changes the name of each new fractal you create so you never overwrite an existing file. The File Name is 8 letters maximum with a 3 letter file extension since Fractint is a DOS program. The X (Basic Options) page also allows you to change the maximum iterations used to calculate each pixel among other items. ------------ <PgUp> - shows the zoom box. Decreases the size of the 'zoom box' <PgDn> - increases the size of the 'zoom box'. Increase to the full size of the image and the 'zoom box' is removed. --------------- while the 'zoom box' is displayed <Enter> - 'zoom in'. This triggers the calculation and display of the fractal contained within the 'zoom box' at the current screen size. This can be done to a partially calculated image. <Ctrl><Enter> - 'zoom out'. A 'reverse zoom'. This triggers the calculation and display of the current full image size being shrunk down to the size of the 'zoom box'. Thus an additional area outside the current image will be seen in the calculated image. <arrow_keys> - move the 'zoom box' <Ctrl><arrow_keys> - move the 'zoom box' five times as fast. If you have mouse support in DOS the mouse will move the 'zoom box'. You don't have to hold the left mouse button to move the 'zoom box'. A double click will trigger the calculation and display of the fractal contained within the 'zoom box'. Holding the right mouse button while moving the mouse to the left or right rotates the 'zoom box'. ------------ C - enter Color cycling mode. (Type <F1> for help on Color Cycling.) >, <, period, comma - These four keys cycle colors when held down. You can load different color maps using this feature. E<Enter> - enter palette Editing mode. (Type <F1> for help on Palette Editing.) >, <, period, comma - These four keys smoothly cycle colors when held down. You can load multiple color maps using this feature and switch between them using one keystroke. ------------ V - set View window options When creating fractals that take a quite a while to calculate I use the View options to quickly calculate a reduced size image to see if it has promise. An Auto Window Size Reduction Factor of 4 will draw the fractal 1/4 the size in X and Y -- and it will be created 16 times faster than a full screen image. VY<Enter> is the keystroke sequence I memorized that turns image size reduction on. VN<Enter> returns to calculating full screen images You can also set a lower resolution screen size, say 640 x 480 -- or smaller, by using the <Del> key to speed up looking at a fractal you might create at a higher resolution later, but you will see the individual horizontal lines on the screen which I don't like. The View Window Size Reduction method allows you to set a size reduction factor of higher than 4 to get a quick look at extremely slow fractals -- or a quicker look at slow fractals. <Del> - set the screen resolution in pixels (Set Video Mode page). Note that some video modes do not work on certain video cards. The 'Disk Video' modes can be used to create fractals without their being viewed during creation. Note that these fractals must still be saved when completed. I use this to calculate slow fractals at full screen size after I have zoomed and located them in the reduced-size viewing mode. Type <Del> and scroll down until you see the video modes with: Disk/RAM 'Video' in their name. <PgUp> and <PgDn> as well as the arrow keys scroll through the list of video modes. ------------- <Alt><Enter> switch between a full screen view of Fractint and Fractint in a window. This is a Windows command, not a Fractint command. You may or may not be able to do this successfully. Under Windows 98 I cannot interact successfully with Fractint while it is in a window, and I can only change to viewing Fractint in a window while Fractint is showing a text page, but I can use my machine to look at email etc. while it is windowed. Other versions of Windows may differ in their behavior. ---------------------------------------------------------------------------- ---------- #################################################### -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.338 / Virus Database: 267.9.9/62 - Release Date: 8/2/05

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FOTD 02-08-05 (On The Way [5])
by Jim Muth 02 Aug '05

02 Aug '05

FOTD -- August 02, 2005 (Rating 5) Fractal visionaries and enthusiasts: I named today's image "On The Way" because it is a passing scene viewed on the way to the final goal, which is an as-yet unseen midget lying at the center. I will reach this final goal later today, and it will appear tomorrow as the midget at the center of the frame. Today's scene is located in the Mandelbrot set, on the eastern shoreline of the main bay of a midget near the tip of the negative stem. Since I have not yet seen the final product, I can not yet give today's image an honest rating. The rating of a 5 is simply the average default rating. Being well within the range of arbitrary math, the image takes over 18 minutes to render. Whether the result is worth the effort will not be known until the image is seen. Of course, all uncertainty can be eliminated by downloading the finished fractal from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Fans of philosophy must have long ago given up hope that I would ever resume my discussion of the great philosophical problems about the nature of the 'self'. I have not abandoned the line of thought; the difficulty lies in trying to fit my conclusions into the rational scientific framework. Our method of doing science is totally geared to an assumed objective reality, and is truly unable to work with subjective things such as the con- scious mind unless it reduces them to the activity of the objec- tive mass of meat we call the brain, a reduction that totally loses the subjective aspect. The problem is one of describing subjective reality in a system that considers the term self- contradictory. I have many things to say on this topic, which, for fear of offending those with other views, I have not yet decided to put into words and make public. With a high temperature of 86F 30C and rather high humidity, Monday was a bit too warm for the fractal cats. They still managed almost two hours stretched on the cool ground under the holly trees however. Today is starting warmer and more humid. It will probably be too hot for the duo. For me, it looks like a dull average day coming up. The next FOTD fractal will appear in 24 hours. Until then, take care, and a dispassionate skeptic is about as rare as a dispassionate religious fundamentalist. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= On_The_Way { ; time=0:18:48.67--SF5 on a P200 reset=2004 type=mandel passes=1 center-mag=-1.9999964703337246818397741/3.09095179\ 16507e-13/1.764905e+021 params=0/0 float=y maxiter=3900 inside=0 logmap=269 periodicity=10 colors=000QSaWWfa`jgdomitsmxpfsm`okVjhOfeIacCYfGSh\ KNjNIlRCnV7pY2jR5eK8`DAW6DR0FUEOXRW_dcaqkRXTGCBL9P\ A4C60`jnZ4FX6LZ7S`9YbBddCjfBhcBfaBd_AbXA`VAZTAXRPP\ `cHjq9sjCncFiYIdRL`KOWERR7UM1XI0`R0d_0hh7_cERZLIUS\ AQLITFQV8YX2eZ1da1cc1bf1ah0`j0_m0Zo0Yq3Xo5Xm7WkAWi\ CVgEVeQWW`WMkWCjWGiWKhWOgWSfWVVdWJmX7vYDwMJtOOrQTo\ RYmTckVhhWmfYrdZchkPkxOfvNauNXtMTsLOqLJpKEoKAnT8fa\ 6Zj4Rs3JZETEObczJANN6FF377h3DX29M16B03ENZ9FN47B4YX\ VsRNeKFSD7E6jU1KEuD9a64JjSsVI`F9IT7rE3R5lF2O7rK8dF\ 6RA4D52Lg`ETO7EC5T8ohewHYfFVQDS9CQGFNMHLTKJZMHWTHT\ _HQfHOmHamRnm`aqZQuXEyWJ0G7VGa8BS68J459220RT0DEB`k\ JWVg8uXu7Of5GT38E1_ecsLreFdSARE5DMFSGBLB7E537CQj9J\ Z6DN36BGa4CS38J2491CcBLavVUoKKYAAHEw2Ah17U13F0Adm5\ KP_ydyQaVDJ1_W0IGD3lvBkg8_T5OE2CA`y6Od3CKa1OJ0CCKq\ 8D_46IBPJ5C9SsQI`H9I8DzG9jC6V83F4C4Bn`zPIVr3lK7TM8\ PO8LQ9HSADUB9VB5tf8DISKNX } END PARAMETER FILE=========================================

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xfractint
by sam ende 02 Aug '05

02 Aug '05

hallo, i'm new to the list and wondering how to improve the resolution/increase the picture size of images to avoid the jaggedness in images such as this: http://www.sende.co.uk/fract038.gif i'm using xfractint on debian sarge. thanks for any tips or links to tutorials. sammi

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FOTD 01-08-05 (Pyroclastic Fractal [6])
by Jim Muth 01 Aug '05

01 Aug '05

FOTD -- August 01, 2005 (Rating 6) Fractal visionaries and enthusiasts: In today's FOTD we bid a temporary farewell to the Mandelbrot set and return for a while to the MandelbrotMix4 formula for a view of the fractal that results when various portions of Z^(-1.5) and Z^(-6.5) are combined and (1/C) is added. I will not try to give a detailed description of the indescribable parent fractal, which is actually several separate Mandeloids, one a sprawling, shapeless thing with numerous valleys and buds, the other a fairly routine M-set. Today's scene is found in an inconspicuous location on the west edge of the shapeless thing. It has been partially evaporated by a large escape radius, resulting in the sea-shell like effect. The name "Pyroclastic Fractal" has no relation to the actual appearance of the image. It is simply a phrase that came to mind while I was studying the image. The coloring could stand some improvement, which is why I could rate the image no higher than a 6. The render time of 4-1/2 minutes is quite reasonable for such a complicated image. And as always, the finished image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A near perfect high temperature of 81F 27C kept the fractal cats quite happy here at Fractal Central on Sunday. The 6 hours they spent in the yard seemed to pass in the twitch of a whisker. Very little tuna was needed to give them a near perfect ending to the day. Today is starting much the same. For me the work is waiting. The next FOTD will appear in 24 hours. Until then, take care, and the answers will be shocking indeed. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= PyroclasticFractal { ; time=0:04:31.61--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-1.562997473196849/+0.74551682411940390\ /10292.68 params=1/-1.5/0.3/-6.5/0/200 maxiter=1400 inside=bof61 outside=tdis float=y periodicity=10 colors=000RUJSVLSWNTYPUZQU_SVaUVbVWcXXeZXf`YgaZicZ\ je_kg`mh`njaolapm`nk_liZjgYheXfdWdbVb`U`ZTZYSXWSVU\ RTSQRRPPPONNNLLKJKLHIHFGJDE78CJBDJDEMFFLHFPJGOMHSO\ ISQIVSJXUKYWL_ZL``MbbNcdOefOfhPhkQimRkoRlqSnsTouTm\ uSkuSiuSguSfuSguSguRguRguRguRguRhtRhrQgpPdnOblOaiN\ YgMWeLTcLRaKP_JPXIOVIOTHORGNOFNMFMKEMIDKFCMGDNHEOH\ FQIGRIHSJITJJVKKWKLXLMYLN_MN`MOaNPbNQdOReOSfPTgPUi\ QVjQWkRXlRXiPZgO`dMbbLd_JeYIgVHiTFkQElOCnLBpJArG8s\ E7uB5w94y51z73z85xA6uB8sDApEBnGDkHFiJGfKIdLKaNL_ON\ XQPVRQSTSQUUNWVLXXI`ZDYYGWXJUWMSVPPUSNTVLSYJR`GQcE\ PfCOi9OmANlBNkCNkDNjDMiEMiFMhGMhGLgHLfILfJLeJKdKKd\ LKcMKcMJbNJaOJaPJ`PJ`QK_QLZRMZRNYSOYSPXTQXTRWUSWUT\ VUUUVVUVWTWXTWYSXZSX_RY`RYaQYbQWaPV`PU_PTZORYOQXOP\ WNOWNNVNLUMKTMJSMIRMGQLFPLEPLDOKCNKAMK9LJ8KJ7JJ6JJ\ EFHLBGS7FZ4E`4Db4Dd4Cf4Ch4Bj4Bk4Bjgmghldhkahk_hjXi\ iUiiSihPihMjgKjfHjfQRGQSI } 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] hallo jim
by Jim Muth 31 Jul '05

31 Jul '05

At 11:47 PM 7/30/05 +0100, you wrote: >i have been looking at your fractal of the day images and an wondering how >do you (or more, me0 get the parameter files into xfractint ?, is that >possible ? >thank you > >sammi I an mot sure about xfractint, but with the DOS version of fractint, copy the entire FOTD file into your fractint directory in text mode. Give the file an 8-letter name with a .par extension, then run it as you would any other parameter file. I assume this will work pretty much the same with xfractint. Jim M.

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FOTD 31-07-05 (Fractal Tiles [7])
by Jim Muth 31 Jul '05

31 Jul '05

FOTD -- July 31, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's little fractal diversion takes us to the western (child) shoreline of the northern branch of Seahorse Valley of the Mandelbrot set, where we dig deep into a bit of a seahorse tail to find a midget. Not satisfied with the midget, we dig into a seahorse-type arm extending from the midget's northern side until we find an even smaller midget. This smaller midget is what appears at the center of today's image. I have named the image "Fractal Tiles". The pattern around the midget does rather resemble a pattern of tiles. The rating of 7 seems appropriate for a scene lying in such an obvious location. The color palette is a random one created by striking the 'enter' key while in color-cycling mode. It is probably not the best of all possible colorings, but it is good enough to rate the 7. The magnitude is great enough to require arbitrary precision math, which slows the image to a render time of 57 minutes, but relief is at hand in the form of the completed image, which soon is posted to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The temperature of 82F 28C was just what the fractal cats wanted on Saturday. They lounged in the yard for almost eight hours before finally deciding to come inside for their tuna. Today is starting much the same. It looks good for the cats. For me the coming day looks uneventful, so until next month, when the next FOTD will appear, take care, and remember that patience is rewarded, but never try to spend your reward. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Tiles { ; time=0:57:12.34--SF5 on a P200 reset=2004 type=mandel passes=1 center-mag=-0.77866689800755177997/0.1314711196242\ 8930825/2.432972e+015 params=0/0 float=y maxiter=15000 inside=0 periodicity=10 colors=0001007Ep6Ci5Ab48X37Q25J13D016`zJXtHUoFRjEO\ eCL_BIV9FQ7CL69F4zq3wm1rjMogKleJjcIgaHdZGbXF_VEYTD\ VQCSOBQMANK9KH8IF7FD6DB5A84763542221h_ofYmeXkcWibV\ h`Uf_TdYRcXQaVP_UOZTNXRMVQKUOJSNIQLHPKGNIFLHDKFCIE\ BGDAFB9DA8B86A758546435223111vmPqiNmeLibJeZH`WGXSE\ TPCPLALH8GE7CA5873431s1Le0FS0AE05ekUXaOPSIGJC896Vt\ sOhgIYXmzz6zzgoyahqXbiRWaMQVGJNBDF567pjngbeZVYQNPH\ FH878JxGIvFHtEHsEGqDFoDFnCElCEjBDhBCeACbAB`9BY9AV8\ 9T89Q78O77L67J66I56G55E44D44B3393382262141131010D`\ zCZzCYzBfzBezAdzAbzAaz9`z9_z8Zz8Nb7M`7LZ7KX6JV6HT5\ GR5FP5EN4DL4BJ3AH39F28D27B259147135023011ORKMOIKMG\ IKFGIDEGCCEABC99A7786564343121000zURwS7tQ6rP6oO6mN\ 5jM5hL5eJ4cI4`H4ZG4WF3UE3RC3PB2MA2K92H82F71C51A417\ 30520210p6Cn5Bl5Bk5Ag5AcAG_JFXIDVHCVGBTFASEARE9QD9\ PD9OC8NC8MB8LB7KA7JA6I96H96G85F85E75D64C64B54A5394\ 3100842732632521421311210 } END PARAMETER FILE=========================================

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hallo jim
by sam ende 30 Jul '05

30 Jul '05

i have been looking at your fractal of the day images and an wondering how do you (or more, me0 get the parameter files into xfractint ?, is that possible ? thank you sammi

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FOTD 30-07-05 (Wheel of Fortune [6])
by Jim Muth 30 Jul '05

30 Jul '05

FOTD -- July 30, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's image takes us very deep into the Mandelbrot set, where we investigate a scene near the tip of the long northern filament extending from the large midget on the negative X-axis. The scene is actually located on a tiny hair-like sub-filament extending from a very small midget on the long filament itself. I named the image "Wheel of Fortune" because it consists of little more than an intricate series of concentric circles. In fact, most all very deep midgets consist of little more than concentric circles, which is why I could rate today's image no higher than a 6. As a matter of curiosity, at the magnitude of today's image, the entire Mandelbrot set would be about 10,000,000,000,000,000 times the size of the solar system, which would make it some- where in the size range of the observable universe. Much unex- plored territory indeed still lies hidden within the Mandelbrot set, waiting patiently to be discovered, but, considering the size of the unexplored area, I fear most of it is due for a long wait. In my opinion, the render time of 27 minutes is reasonable for an image of such high magnitude. Those who do not share my opinion may download the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The heavy clouds hung tough here at Fractal Central on Friday, but the rain held off, and the temperature reached only 77F 25C, this permitted the dynamic duo a pleasant afternoon in the yard. It was so pleasant in fact that they almost forgot their evening tuna. Today is starting with clouds and a continuing but lesser threat of rain. Maybe the cats good luck will continue. For me it's the usual round of work before fractal fun. The next FOTD will appear in 24 hours. Until then, take care, and keep your eye on the sky. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Wheel_of_Fortune { ; time=0:27:41.06--SF5 on a P200 reset=2004 type=mandel passes=1 center-mag=-1.771257007534741906714186794271403/0.\ 0661614639660938509626530263671951/2.16998e+029/1/\ -72.5/2.25221924443630428e-012 params=0/0 float=y maxiter=3600 inside=0 periodicity=10 colors=000MbJP`LR_NUYPWXRYVT`TVbSXeQZgP`jNblLdoKfq\ IhtFlsHjrIiqJhpKgoLfnQgmUhAwzAwzAwzAwzAwyAvx9uw8tv\ 7su7su7ru7qu7qu7pu7ot7ot7nt7mt7mt7lt7kt7ks7js7is7i\ s7hs7gs7gs7do7ak7_h7Xd7Ua7SY7PV7MR7KO7HK7FH48S11bP\ 9_VKX_RVdXSkcPngNndRk`UgXXdT_`PcYLfUHiRDlP9oOBmNCk\ MDjLEhKGgJHeIIcHJbGL`GM_FNYEOWDQVCRTBSSATQ9VO8WN7X\ L7YKOfUcocsxmovllulhtleslarlZqlVplSolOnlLmlHllEklA\ jl7il3hl0gl1fi1fg2fe2fc3ea3e_3eY4eW4dU5dS5dQ5dO6cM\ 6cK7cI7cG8bE8bC8bA9b89a6Aa4Aa2Aa0BZ2BW3BU5BR6BP8BM\ 9BJBBHCBEEBCFCDGDEHEFHFGIGHJHIJIJKJKLKLLLLMMMMNNNO\ OOPPOQQPRRQSSQTTRUTRWRQYQPZOO`NNbLMcKLeIKfHJhGIjEH\ kDGmBFoAEp8Dr7Cs6Cp7En7Gk7Ii7Kf7Md7Oa7Q_7SX7UV7WT7\ XR9ZQB_PD`OFaNHbLJcKLdJNeIPfHRgFThEViDXjCZkB`lAbmH\ anO`nU_n`_ofZomYosYorXmrWkrVirVhrUfrTdrTbrSarR_rRY\ qQWqPVqOTqORqNPqMOqMMqLKqKIqKHpJGpJFpJEpIDpICpIBoH\ BoHAoH9oG8oG7oG6FgDHeFKdH } END PARAMETER FILE=========================================

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FOTD 29-07-05 (Magic Mandelbrot [7])
by Jim Muth 29 Jul '05

29 Jul '05

FOTD -- July 29, 2005 (Rating 7) Fractal visionaries and enthusiasts: The work is still backed up here at good old Fractal Central, so the discussion will need to be short and to the point. Today's image is a scene in the east branch of the second valley of the northern period-3 bud-complex (radical) of the Mandelbrot set. Most of the effect of swirling comets is due to the unusual coloring, which I worked out before things fell behind. Many registers of the color palette are dead black, as can be seen by striking the 'e' key with the image on the screen. I could probably have gotten the same effect more easily by setting the 'logmap' to a much higher number, but the image turned out pretty well the way it is, so I let it be. I decided on the name "Magic Mandelbrot" when nothing better came to mind. The rating of a 7 is satisfactory if not exceptional. The render time of a fast 5 minutes makes running the included parameter file a breeze. Those who dislike high winds may pick up the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Wednesday was extremely hot and humid here at Fractal Central, with the reported temperature in the city reaching 104F 40C. The heat confined the fractal cats to the coolest indoor spot they could find. At 6pm, when a heavy rain squall blew up, the electricity went out and the cool air went off. The cats went out onto the porch when the rain stopped, where it was now cooler than inside. Thursday was notably cooler and drier. The duo enjoyed several hours in the yard. Today is starting cool, but it is cloudy and threatening rain. I hope the cats are ready for an inside day. For me, the work is still very heavy. If nothing goes wrong, the next FOTD will appear in 24 hours. Until then, take care, and be at peace with whatever you are at peace with. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Magic_Mandelbrot { ; time=0:05:20.60--SF5 on a P200 reset=2004 type=mandel passes=1 center-mag=-0.11315234783132390/+0.837744818390413\ 40/1.362938e+010/1/155/-6.62844733679418541e-006 params=0/0 float=y maxiter=75000 inside=0 logmap=3366 periodicity=10 colors=0000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 000000000000000000000000000200400600800A00C00E00G0\ 0I00K00M00002Q04S06U0800AY0C_0Ea0G00IZ0KU0MP0OK0PF\ 2RC4TD6UE8WFAYGCZHE`IGbJIdKKeIMgHOiGQjESlDUnBWoAYq\ 8_s7av4cw6ex8gyAizBkzDmzFozGqzHtzHwzKzzMzzOzzQzzSz\ zUzzWzzYzz_zzazzczzezzgzzizzkzzmzzozzqzzszzuzzvzzw\ zzxzzyzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } END PARAMETER FILE=========================================

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No FOTD for July 28
by Jim Muth 28 Jul '05

28 Jul '05

Fractal visionaries and enthusiasts: Due to a storm and another of our regularly scheduled power outages here at Fractal Central, which took the local electric companyette 13 hours to repair, there will be no FOTD for July 28. The image, named "Magic Mandelbrot", is ready, but a big work backup leaves no time to prepare the discussion. If I can get the work caught up, the image, along with its discussion, will appear on July 29. Meanwhile, the cats are having a great day. Jim M.

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FOTD 27-07-05 (Inside Stuff [7])
by Jim Muth 27 Jul '05

27 Jul '05

FOTD -- July 27, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's image takes us back to the Mandelbrot set, to the East Valley of the large midget on the negative X-axis, where we examine one of the 'barbed-wire' filament-spirals that lie between the main spiralling trunks of the elephants. I named the image "Inside Stuff" because the scene lies inside a large spiral. Perhaps the most unexpected thing about the image is that, at first glance, the central midget appears to be disconnected, and all parts of the M-set are known to be connected to the main bay by filaments. But the disconnection is only an illusion, as can quickly be determined by a quick check. The image rates an honest 7. Yes, I consider the rating honest. I realize that the Mandelbrot set is not a newly-discovered fractal, and it has been the source of more individual fractals than any other parent fractal, but it is still like a source of all other fractals. The features that appear in fractals generated by even the most exotic formulae are often nothing more than variations on the themes of the M-set. The Mandelbrot set is a warhorse of a fractal, always ready to do its job of supplying a worthwhile image. Though the image is of arbitrary precision magnitude, it renders in less than one hour. Those who lack an hour of spare time can download the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The blazing hot sun, high humidity, and a temperature of 99F 37C were too much for the fractal duo on Tuesday. After checking the outside conditions for a few minutes, they decided to spend the day under the cool air vent. When the temperature fell a bit at nightfall, they asked to go out, but since they are never allowed outside after dark, they had to settle for tuna instead. Today is starting even hotter. It looks like another indoor day for the cats. For me the day will be busy. The next FOTD will appear in 24 hours. Until then, take care, and be lively. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Inside_Stuff { ; time=0:52:24.70--SF6 on a P200 reset=2004 type=mandel passes=1 center-mag=-1.749205057449501889/2.857623468803018\ e-4/1.919256e+013/1/52.3373631663066732/0.25582643\ 2184743047 params=0/0 float=y maxiter=5000 bailout=9 inside=0 logmap=619 periodicity=10 colors=000AGbAGcAFd9Ff9Eg9Ei9Ej9Dl9Dm6Bm9DnCFnFHnI\ JnLLnONnRPnURnWTnZVnaXndZng`njbnmdnpfnshnzimujnqjn\ ljnhjncko_koVkoRkoNkoOjmOikOhjOghPfgPfePecPdbQc`Qb\ _QaYQaWR`VR_TRZSRYQPXQRYPSZPU_PV`PXaPYbP_cP`dPbePc\ fPdgPfhPgiPijPjkPllPmmPonPpoPrpPssPzrQtrPooPimPdjP\ ZgPWgQUePTbPS_PRWOQTOPQOOMNNJNMGNRMRVSVZYZbbbghfkn\ jotnsyrrwqrvpruortorsnrqmrplqolqnkqmjqliqjiqihqhgq\ gfpffpeepcdpbcpacp`bp_aqYepZap_Zp`Wp`TpaQpbNocJocG\ odDoeAof7sg1of4kf7geAceD_eGWdJSdMOdPKcSGcVCcXBeZBf\ _Bg`BhaBibBjdBmeBpfBsgBvh0ymBriMfbXYWgPPeGQc0Ra1S_\ 2TY3UX4WZ5Y_6_a6ab7cd8ee9fgAghBimUsrUvrUzgClfCXeCT\ eCOdCKdCGrDHrDIrDJrDJcDKcDLbELmEMmUNmUNmUOmUPaFPaF\ QaFRaFRwFcwFcwCcwFcwHc_JRYLQXNPWPOURNTTMSVLQXKPZKO\ `JMbILdHKfGIhFHjEGlDEnCDpBCrBEoHFpMGqSHrXJsaKtgLul\ MvqNwnOxlPyjQzhQzfRzdSzaTz_UzYUzWVzUWzSXzPYzNYzLZz\ J_zH`zFazE`zD_zD_zDZzCYzC } END PARAMETER FILE=========================================

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FOTD 26-07-05 (Helios [7])
by Jim Muth 26 Jul '05

26 Jul '05

FOTD -- July 26, 2005 (Rating 7) Fractal visionaries and enthusiasts: I was surprised this morning when I found an e-mail informing me that fraudulent activity had taken place on my e-bay account on July 29, and that I must re-enter my information on their web site to assure them that I really am myself. Forgetting the fact that I have no connection with e-bay, I wonder how the sender knows what will happen three days in the future. This proof of precognition will certainly put those fun-spoiling skeptics to rest. ;-) What it means for causality is another question. Today's image is nothing to be skeptical of. It rates a solid 7. The circular shield with its fiery orange filaments reminds me of a blazing sun, inspiring the name "Helios". It is a zoom into yesterday's image at one of the obvious places where a smaller midget is hidden. Being well beyond the limit of conventional math, today's image is a slow one, requiring 1-1/2 hours to render. But I have sent the finished GIF image on ahead to Paul at the FOTD web site, so it will soon be available for download. The FOTD web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a high temperature of 95F 35C, and equally high humidity, Monday was far too hot for the fractal cats to spend much time outside. They went out and came back in within 1/2 hour. A bit of thunder spoiled the evening serenity, but no rain fell and the day ended peacefully. Today is starting, if anything, even hotter. I expect the duo will pass the day in the coolest spot they can find. For me it looks like a busy day. Until the next FOTD, which will appear in 24 hours, take care, and what a boring world it would be without fractals. I wonder why we didn't realize this before we discovered them. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Helios { ; time=1:31:10.50--SF5 on a P200 reset=2004 type=mandel center-mag=-1.4234602660592528076535857/0.15643604\ 194886129901658507/1.253262e+021/1/-164.9383192598\ 18911/-0.0138128078133419874 params=0/0 float=y maxiter=15000 inside=0 periodicity=10 colors=000KMNKLNKLNKKNKKNKJNKJNKINKINKHNKHNKGNKGNK\ FNKFNzN_zVMza9waCtaFqaHnaKkaMhaPeaSbaU_aXXaZUaaRad\ ObfNciMdkMenMfpOaoQXnRSmTOlUJkWFjXCiWBjVAjUAjT9jS8\ kR8jQ7iP7hO6hN5gM5gM4gL3hK3hJ2hI2hH1gG0fF0eE0eD0bC\ 0bB0aB0`C0`C0aC0bD0bD0cD1cE1cE2bE2bF3bF3cF4cG4dG5e\ G5fH6fH6gH7hH7iIKkJRkKZlLulMsmNqnNooOmpOkqPiqQgrQe\ sRdtRbuS`vTZvTXwUVxUTyVRzVQzYTv`WrbZneakgdgjgclj_o\ mXtpTwsPzuMztNztNztNysNxsOwsOvrOurOtrOsqPrqPqqPppP\ opPnpQmoQloQkoQjnQinRhnRgmRfmRemRdkRcjRbiRagR`fR_e\ RZcRYbRXaRW_RVZRUYRTWRSVRRURQSRORRMQRKORINRGMRELRF\ KQGJPHJPIIOJHOKHNLGNMGMNFLOELPEKQDKRCJSCJTBIUBITEK\ THLSKMSNNRQORTPQVQQYRP`SPcTOfUOiVOkWQjXSjXUjXViYXi\ YZiY`iYahZchZehZfg_hg_jg_lg_mf`of`qf`rf`oc_m`_kZ_h\ W_fTZdRZaOZ_LZYJZXKYWKYWKYVLXULXULXTLXTMWSMWRMWRNV\ QNVQNVPNVOOUOOUNOUNOUONVPMVQLWRKWSJXTJXUIYVHYWGZXF\ ZYF_ZE__D``C`KONKNNKNNKMN } END PARAMETER FILE=========================================

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FOTD 25-07-05 (High-Line [7])
by Jim Muth 25 Jul '05

25 Jul '05

FOTD -- July 25, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's image takes us to the prominent filament extending northwest from the bud centered at -1.3 on the X-axis of the Mandelbrot set, where we find a tiny midget hiding in the chaos of the southeast shoreline of a larger midget. We do not get to see the actual tiny midget, but be assured it lies at the center of today's scene. The scene lies within the magnitude range of conventional math, though I have gone to arbitrary precision math in today's image to eliminate the trace of jaggedness. When the scene is rendered with conventional math, the 37-minute render time is cut to an incredible 27 seconds. I rated the image at an above-average 7. It is an unusually rich image of a scene in the Mandelbrot set, and its extra richness earns it its rating. I named it "High-Line" for no good reason other than I felt like it. As always, the finished GIF image has been posted to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> This web address may soon change, so stay tuned. A second consecutive near-perfect day here at Fractal Central on Sunday kept the cats in angelic mode. They spent the entire afternoon sleeping in the holly patch, stirring only when their empty stomachs told them it was time for their evening meal. Today is starting sunny and warm after a heavy storm overnight. So far it's going well for the duo. For me it looks like a rather busy day coming up. The next FOTD will appear in 24 or so hours. Until then, take care, and mighty fractals from little formulae (formulas) grow. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= High-Line { ; time=0:37:16.52--SF5 on a P200 reset=2004 type=mandel passes=1 center-mag=-1.42346026605928566/0.1564360419488727\ 28/3.631018e+013/1/165.068582821862464/-0.02761408\ 52228770189 params=0/0 float=y maxiter=12000 inside=0 logmap=348 periodicity=10 colors=000YATYASYARXAQXAQWATVATV6TU7US9WQBVNDWJBYG\ 8XE8ZD8`D8bA8dA8f99i9AkACjADjAEiAEiADhACcABZ9AU89P\ 78K9COBFTDJXFMaGQeITdDUcKUbQUaXU`cU_aUZ_UYYUXWUWUU\ VMQKNNNTQTZO_dNhjMokMkhLcdLWiMSoOQtSPpQUlQZqJipShp\ ZjpfjsnoqqqkkkcccYYZNQUESTDIPDEUGDYLDbQDfdbQeeTeeW\ deYdf`ehbghfifijhjfffffffeifblf`ogZrhXtpSupNrqIjqD\ bnCVjDRfDNbDJZDFWGDQLIKKJKOMGURD`X9fa8_Z7TU5IN4AJX\ zRRzNMzKHzHPvHFpGGiGJbHN`IO_ISaJVdKagMXfKVgIThIRjG\ PlFNnDMoDQjFVeIbhLijQlgTneXt`Qp_TlZVh_YcZ_```cccbb\ fZYdVTcSObOJ`LE_JAZDPQEjPJdQN_SRVSQQQjlKUSTdOwaPp`\ RjYRbVRXQQQRRQSULTZDSXGSVJSUMQSQQTTMSUHOVDMZ9KbCIk\ HMiLRfPVdVZb_cddfffhf```YYYYWXZRWZKUZFS8RaZ9PUDJTH\ GSPHPR9TRBUOBVLBWH8QIOWQlwdisafoZdlXbhU`dRZ_SYbQYe\ PXkNYpMYuLZmN_jRcfUdbXdUTaNR_BKaFPYMY`ScbWf`UjWsss\ WlwSnwPpwNswJvwGwuDwrZijmgjjghfffccbZ`XVaSQbMKcHFc\ BEdGHeNKfVHfYLaXOXXaVUuge } END PARAMETER FILE=========================================

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FOTD 24-07-05 (Fractal Delicacy [NO RATING])
by Jim Muth 24 Jul '05

24 Jul '05

FOTD -- July 24, 2005 (Rating NONE) Fractal visionaries and enthusiasts: Things unexpectedly turned very busy here at Fractal Central on Saturday, and I had no time to search for a new fractal. When this happens, I always return to the best, most prolific fractal of all, the Mandelbrot set, where all the other fractals have their origin. Once again, the M-set did not let me down. I gave today's image no rating, since I had almost nothing to do with its creation. I merely went to the eastern shoreline of the main bay of the M-set, where I know such scenes are waiting, and picked the first midget I saw. The color palette appeared when I struck the 'enter' key, and was fine-tuned with a few more key strokes in little more than a minute. Though I did not rate the image, I did give it a name. In my mind's eye, the overall hazy blue effect makes the scene appear delicate. I named the image "Fractal Delicacy". Perhaps the most striking thing about today's image is the appearance of the pale pink basins, hovering around the thicker fractal arms like a cloud of fireflies hovering around a grove of trees. These areas are of a very high iteration count, where exploration is very slow and tedious, though some unusual scenes are to be found there. The render time of today's image is under 3 minutes, a short enough wait to glimpse an image that is almost free of human involvement. (Of course if there were no humans, there might be no Mandelbrot set, but this is another story.) For maximum convenience, the completed image is available at the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> There could soon be a change in the FOTD web site, so stay tuned. With brilliant sun, a high temperature of only 86F 30C, and lower humidity, Saturday was a very satisfactory day for the fractal duo of cats, who spent a good part of the morning and the entire afternoon outside. Luckily, they kept out of trouble. When they came in, they were ready to settle down to sleep without their usual tuna. Today is starting about the same. It looks like another good day for the duo. For me it looks like a busy day. The next FOTD will likely, though not certainly appear in 24 hours. Until then, take care, and search for the secrets of life. The answers might lie in fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Delicacy { ; time=0:02:54.23--SF5 on a P200 reset=2004 type=mandel passes=1 center-mag=+0.37310756013139280/+0.253730020778216\ 00/6578115/1/-92.5/2.88545267887463375e-008 params=0/0 float=y maxiter=25000 inside=0 logmap=501 periodicity=10 colors=000W8dW8dV7dU6cT6cS5cR3eS4dS5cT6bT6bT7aU8`U\ 8`V9_VAZVAZWBYWCXWCXXDWXEVYFUYFUYGTZHSZHSZIR_JQ_JQ\ `KP`LO`LOaMNaNMaNM`MN`MN`MO`MO`LP`LP_LQ_LQ_LR_KR_K\ S_KS_KTZKTZJUZJUZJUZJVZIVZIWYIWYIXYIXYHYYHYYHZXHZX\ H_XG_XG`XG`XG`XFaWFaWFbWFbWFcWEcWEdWEdVEeVFeVEfVFf\ VFgVGgWFiVHgVHfVIeWIcWJbWJaXK_XKZXLYXLWYMVXMUWNSWN\ RVOQUOOTONTOMSOKROJROIQOGPOFOOEOOCNOBMOAMO9LPALQBK\ RCKSCJTDJTEJUEIVFIWGHXHHXHGYIGZJG_JF`KF`LEaMEbMDcN\ DdODdOEdPFdQGdRHdSIdSIdTJdUKdVLdWMdWNdXNdYOdZPdZQd\ _Rd`RdaITmITmISnISnIRoIRoIQpHQpHPqHPqHOrHOrHNsHNsH\ MtHMtGLuGLuGKvGKvGJwGJwGIxGIxGHyFHyFGzFGzFFzFFzFEz\ FEzFDzFDzGEzHEzHEzIEzIEzJFzJFzKFzLFzLFzMGzMGzNGzNG\ zOGzPHzPHzQHzQHzRHzRHzSIzTIzTIzUIzUIzVJzVJzWJzXJzX\ JzYKzYKzZKzZKz_Kz`Lz`LzaLzaLzbLzbLzcMzdMzdMzeMzeMz\ fNzfNzgNzhNzhNziOziOzjOzjOzkOzlPzlPzmPzmPznPznPzmO\ zlNzkNzjMziLziLzhKzgKzfJz } END PARAMETER FILE=========================================

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FOTD 23-07-05 (Mandelbrot Midget-2 [6])
by Jim Muth 23 Jul '05

23 Jul '05

FOTD -- July 23, 2005 (Rating 6) Fractal visionaries and enthusiasts: The FOTD rating continues creeping up. Maybe, if the present trend continues, we will be back at a rating of 8 in a couple days. Today's image is a zoom into one of the northern filaments of yesterday's image, so the features bear a strong resemblance. But the magnitude is 10^12 times that of yesterday's image, which makes the image more interesting. It also makes the render time about 650 times as long, which is not so interesting. I named the image "Mandelbrot Midget-2", the most logical name I could think of. There are two ways to see the image. The slow way is to run the included parameter file and have a relaxing wait. The fast way is to download the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The high temperature of 93F 34C on Friday here at F.C. was a bit too much for the fractal cats to take. They cut short their outdoor time after only 45 minutes in the holly patch, and settled under the cool air vent for the rest of the day. This morning is starting somewhat cooler and less humid. The cats will likely approve of the conditions. For me it looks like a rather busy day coming up. There is some graphic work to be done and, if I feel extra energetic, grass to be trimmed. The next FOTD will appear in 24 hours. Until then, take care, and are dreams real? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= MandelbrotMidget-2 { ; time=1:10:20.31--SF5 on a P200 reset=2004 type=mandel passes=1 center-mag=-1.4153814814134514501743100193621/0.00\ 122318048669816378750360057346/1.143982e+027/1/0.5\ /-1.23373533611470521e-014 params=0/0 float=y maxiter=10000 inside=0 periodicity=10 colors=0001lz0mz0oz0gy0ap3Xg6Q_9MQCINF9G000iPIjQJl\ SLmTMoVOpXPrYQs_Su`TvaVvcXxa_x``GMjGLiIIiIFiIDiFFg\ CGg9Ig6Jg3Lg0Mg0Mg1Vc4a_9iVCpQGxMJzIDzJ9zJ3yL0xL0u\ I1rG1oF3mD3jC4g94d76c66`47Y37X1IcMQif_oyagsc`mdVgf\ OagGYiASj3Ml0Gm0CT9pMGjGOfAVa4aX0iS0pO0xJ0lO9aQJQV\ TGYc6`dAcfDdfIfgLgiPjiSljVml_olarmfsoiuolvmdllYalS\ SjLIjF7i70i10Q0G70i00z00y00m10a40P90DC11F107D31PG0\ `T0jf0fg1cg7`iCXiITjOQjSMlYJlcGlgCmm9ms6ox1oz0pz0p\ z0pz0mz0lz0jv0ir0gm0fi0dd0c`0aX0`S0_O0YJ0XV3TdFQpQ\ Oz`LaFjF0zC0zA1z76z69z39z16z03z00z00z00z00z0070090\ 0A00C00D00F00G00I00J00L00M00O00P00Q00S00T00V00X00Y\ 10_30`40a60c70d90fA0dC0cD0a70`10_A0YI0XQ0VY4TcFQgO\ OlYLrgJvoJzuNzxQzz_puMjmOcgOX`PQVQJOSCIS6AT04V00V9\ CYPO`d_aujdzvfuzzP7VI4OA1G30A00300000D03T47i9CyDDv\ IFuLGsPIrTIoXJm`LlcMjgMglOfoPdsQcvQarTdmVfiXifYja_\ lY`oTapQcrMduIfvDgyAiz6jz } END PARAMETER FILE=========================================

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FOTD 22-07-05 (Mandelbrot Midget [5])
by Jim Muth 22 Jul '05

22 Jul '05

FOTD -- July 22, 2005 (Rating 5) Fractal visionaries and enthusiasts: In today's image we return to the one-and-only Mandelbrot set. The scene of the image is on a filament extending northeastward from a larger midget located on the negative stem, near the point where it joins the main body of the set. With nothing better in mind, I named the image "Mandelbrot Midget" and rated it at an average 5. At least we are back up to an average rating, but where are those exceptional images that seem to come in clusters? Those great fractals are still out there, wherever 'out there' may be, waiting to be stumbled upon and brought to life by some intrepid fractal explorer. Will the next attempt at bringing a great fractal to life be a success? Or am I un-intrepid. Check tomorrow's Fractal of the Day to find out. Some might complain about the lack of fractal excellence in today's image, but no one can complain about its speed. Six seconds is all the time required to render it. And to make things even better, the finished image has been posted to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> from where it may quickly be downloaded. A high temperature of 90F 32C kept the fractal cats very quiet on Thursday. They spent the afternoon nearly invisible in the holly thicket. Today is starting the same. For me, the work is piling up, and it will be a busy day. The next FOTD will appear in 24 hours. Until then, take care, and keep your cool. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandelbrot_Midget { ; time=0:00:06.43--SF5 on a P200 reset=2004 type=mandel center-mag=-1.41538148141333100/+0.001223180486707\ 87/4.017087e+012/1/-77.5/0.00994833980292832848 params=0/0 float=y maxiter=1000 inside=0 periodicity=10 mathtolerance=0.05/1 colors=000IFiIDiFFgCGg9Ig6Jg3Lg0Mg0Mg1Vc4a_9iVCpQG\ xMJzIDzJ9zJ3yL0xL0uI1rG1oF3mD3jC4g94d76c66`47Y37X1\ IcMQif_oyagsc`mdVgfOagGYiASj3Ml0Gm0CT9pMGjGOfAVa4a\ X0iS0pO0xJ0lO9aQJQVTGYc6`dAcfDdfIfgLgiPjiSljVml_ol\ armfsoiuolvmdllYalSSjLIjF7i70i10Q0G70i00z00y00m10a\ 40P90DC11F107D31PG0`T0jf0fg1cg7`iCXiITjOQjSMlYJlcG\ lgCmm9ms6ox1oz0pz0pz0pz0mz0lz0jv0ir0gm0fi0dd0c`0aX\ 0`S0_O0YJ0XV3TdFQpQOz`LaFjF0zC0zA1z76z69z39z16z03z\ 00z00z00z00z00700900A00C00D00F00G00I00J00L00M00O00\ P00Q00S00T00V00X00Y10_30`40a60c70d90fA0dC0cD0a70`1\ 0_A0YI0XQ0VY4TcFQgOOlYLrgJvoJzuNzxQzz_puMjmOcgOX`P\ QVQJOSCIS6AT04V00V9CYPO`d_aujdzvfuzzP7VI4OA1G30A00\ 300000D03T47i9CyDDvIFuLGsPIrTIoXJm`LlcMjgMglOfoPds\ QcvQarTdmVfiXifYja_lY`oTapQcrMduIfvDgyAiz6jz1lz0mz\ 0oz0gy0ap3Xg6Q_9LQCFIF99gOFiPIjQJlSLmTMoVOpXPrYQs_\ Su`TvaVvcXxa_x``GMjGLiIIi } END PARAMETER FILE=========================================

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FOTD 21-07-05 (Full Fathom [5])
by Jim Muth 21 Jul '05

21 Jul '05

FOTD -- July 21, 2005 (Rating 5) Fractal visionaries and enthusiasts: I began the day with the discovery that I had won a total of 4.3 million dollars in lotteries that I have never entered, and that there are five people who want to place a total of 135 million dollars in my bank account. (One of them even knows my full name.) I will soon be wealthy beyond my wildest dreams, then it will be goodbye working world, hello world of fun and leisure. These letters have ceased being a source of annoyance, and have become a source of amusement. Could anyone possibly be dumb enough to fall for such obvious scams? I guess so. The scams are showing no signs of going away. Fractals are not going away either, and there are far more fractals than there ever could be scams. Today's image is an evaporated scene in the fractal that results when various negative portions of Z^(-1.4) and Z^(-6) are combined, then (1/C) is added. The parent fractal is an intricate but indescribable thing with numerous bays, buds and valleys. Today's scene is located in one of the less obvious valleys. For some unknown reason I named the image "Full Fathom", which I think is a nautical term used by submariners. If not, I stand (or rather sit) corrected. Today's image is only a minimum improvement over yesterday's, so I have rated it at a 5. Overall, the image is too chaotic. It has no definite theme to give it unity. The colors seem too arbitrary, with too much of an overall blue cast. Perhaps the FOTD for tomorrow will be better. The great fractal images just don't seem to be appearing as they should. Maybe I need a short break to recharge whatever it is that leads me to the better images. But we'll give it a few more days before deciding whether to take a vacation. With its 16-minute render time, today's image is slow. A big speed-up is available on the internet however, on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the completed image is posted ready for viewing. A high temperature of 90F 32C here at Fractal Central on Wed- nesday was made more bearable by lower humidity. At least the fractal cats thought so, as they spent over two hours lounging in the shade of the holly patch. For me it was an unusually busy day. Today is starting about the same. I expect similar results from the cats. The next FOTD will appear in 24 hours. Until then, take care, and be free within limits. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Full_Fathom { ; time=0:16:05.21--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.16850795164297710/-1.901507382648044\ 00/898526.7/1/-115/-2.26629748995010871e-009 params=-1/-1.4/-0.4/-6/0/1e+100 float=y maxiter=1500 inside=bof61 periodicity=10 colors=000m_Tk_Uj`VhaWfaXdbYbbY`cZZc_Xd`WeaUebSfcQ\ fdOgeMgfKhgJhgIklImpHotxIPxHOxGNxELxDKxCJxAIx9Hx8G\ rNUjagkxxcouWeoOViFNiHLdIJ_JHWLFRMDNNBIOAEQEHSHKTK\ MVNPWQSYUUZXX`__abaceddigfligolirohwrTntktpmspnrop\ qoqpnsontmmvlmwklxjlxikxhkxgjxfjxcgx`duYarVZoTWlQT\ iNQfKNfKLdIKcHJbGIaFI_EHZDGYBFXAFV9EU8DT7CT37S6CS9\ GECL5EPGHMKKYLKTRJfQSkQUoQXtQXxQaxP_xP_vOZsOYqOXnN\ WkNWiMVfMUcMTaLScLRWKUbLRUMXeNZcObhPfmQerRnwRgxQkv\ QeqQ_lQVgQPbQJYQDTQ8ORBNSENTHMUKMUNMVQLWTLXWKYZKY`\ K_`I``Ha_Fc_Dd_Cf_Ag_8h_7gYAfXDeVFeUIdSKcRNcQPbOSa\ NV`LX`K__IaZHdZGf`JhbLidNjfPlhRmjTnlVpnXqoZrq`tsbu\ udvwfxxhxxjxxlxxnxxpxxnxxmxxlwxkuxjsxiqvgnufltejrd\ hqcfpbdnceldfjeghehgfiegjcgkahl_imZjnXjoVkpTlqSlrV\ loXlm_lkbliekfhkdjkbmk_pkYskWukUtlWtlXtlYtl_tl`FbF\ FaGF`IF_JFZKFYMFXNFWOFVQFURFTTFSUFRVFQXFPYFOZFN`FM\ aFMbbRVxWNwXOuYPsYQqZRoZS } 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 20-07-05 (Iterative Eruption [4])
by Jim Muth 20 Jul '05

20 Jul '05

FOTD -- July 20, 2005 (Rating 4) Fractal visionaries and enthusiasts: After yesterday's abysmal effort, I had hoped to have a better fractal for today. The fractal is better, true enough, but how much praise can I give an image that rates a humble 4? We will need to do better still in the next FOTD. In today's image I set the outside to the 'epsiloncross' option, an option I rarely use. The result is an image with black arcs that seem to be holding hot magma in place. I named the image "Iterative Eruption". It was created by combining various portions of Z^(-2.2) and Z^(-1.2), then adding (1/C). The render time of 3-1/2 minutes is within reason, but the 'passes=g' option will cut another minute from that time. Perhaps the fastest way to see the image is to download it already rendered from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A temperature of 93F 34C combined with a hot sun was too much for the fractal cats on Tuesday. They passed most of the day indoors under the air conditioner, going outside only long enough to convince themselves that the indoors was the better choice. A tough looking tomcat wandering the area might have helped them decide to stay inside. Today is starting with sun and clouds, still hot but less humid. The cats have yet to decide what to do. I have no problem deciding what to do. Having one's work pre- arranged is one of the benefits of adulthood. The next fractal will appear in 24 or so hours. Until then, take care, and get in there with the big time thinkers. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Iterative_Eruption { ; time=0:03:25.05--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=t center-mag=-1.33454320236390500/+0.006764474083616\ 00/4464436/1/-36.2/-1.90810631461868496e-008 params=2/-2.2/1/-1.2/6.9/525 float=y maxiter=500 inside=epsiloncross proximity=0.001 periodicity=10 colors=000_ccMmP8vDDsDHpEC6DOkESiEWfE_dEhgIqhKxiMx\ gMxgTxeZxeexdkxcpApQYhfrYsxLwxLvxNttMonNjhNeaN`WOW\ RPRWVU__WbeZcb_eZ_fWZgSZhOZiMZjIYkEYkCYcTRWfINrARi\ IT`SVS_VHgV7m_9odBqiDrnFtsHvxIwxKwxLwxLtxLwxMwxLwv\ LwrKwoKwlJwhJweHwaHw`Hw`Hw_Hu_Hq_Im`Hi_He`H`_IX_IS\ VqPWnO`lPegPehOeeOedOebMe`MeZMeXLeVLeTLeRL`acfeYbk\ d`hbZeeXb`VZWTVRSRNROIPQLPROPTQNUUNVWMXYLY_K_bK`eJ\ agJciIclHenHfpHgrJhnMikPifRibTiYWiVYiQ_iMbiHdiEeiA\ aoRZueWvrPvlIreBn_BpbBrdBtgBujBvmBvoBvrAvrAvtAvuFv\ wKvwNtwRpwUmwXiw`dwcbwf_wjYwnVwqTwocwiko`r`SvOQvMR\ vLQvKQvJQvIQvIQvGQvFQvEQvDQvDUvKYqR`lZehfhamiVskPw\ kKwVAwYCw`FwbGscIleKffLYfMQjRZmVdpYksbrudwvgwtfwxd\ wx_uxTlxOfxI_xOWuQQnTLgXE`_8ZcAYeCYgDXiEWkFWnGUpHU\ rJUtKTvMTvMSvNQvNPvOPvOUvTWuYXpaZjd`ci`XlaQobKq_Pl\ XUhU_dQdZMhTIlOEoJGlLHiLJfNJdNK`OMYPNWPTXURRVaZbSv\ PMvOOvSQvWRvZSvcSvfTtiUrl } 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 19-07-05 (Chicken Scratches [2])
by Jim Muth 19 Jul '05

19 Jul '05

FOTD -- July 19, 2005 (Rating 2) Fractal visionaries and enthusiasts: It has been a long time since the FOTD has claimed as its own a fractal with a rating as low as a 2. On most days today's image would have earned a strike of the delete key without a moment's hesitation. But Monday was not an ordinary day. Finding a good fractal image was about as easy as finding a hundred-dollar bill lying on the sidewalk. Despite my searches, I found nothing at all worth a second look. It was almost as though the fractal world had suddenly turned against me, and fought my every effort to find a worthwhile fractal. It is a thing (call it lack of inspiration?) that plagues artists, though I can see no reason why it should afflict me, since I do not claim to be an artist. The parent fractal of today's failure was created by combining Z^(-1.6) with Z^(-8.6) before adding (1/C). It is in the shape of a large unimpressive Mandeloid with a smaller Mandelbrot set nearby to the northeast. The two features are connected by a broken string of fractal nodes. Today's image lies in one of these nodes, very near the point where it breaks off from a period-5 bud. Today's image features ('features' is hardly the right word) a central midget surrounded by disconnected scratchy looking filaments, all of it together adding up to basically nothing. The coloring could be far better, but I fear no amount of coloring could raise the image to above average. While searching for a name, I could not shake the impression of a chicken yard, where, for countless days, countless chickens have been scratching for food, or whatever chickens scratch for. The name "Chicken Scratches" quickly followed. Luckily, the render time of the included parameter file is a fast 1 minute. Even luckier, the finished image is available for download on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather stayed dry here at Fractal Central on Monday, but the 90F 32C heat and the high humidity kept the cats' activity to a minimum. They passed the afternoon sleeping in the holly hollow. Today is starting about the same. It looks like another lazy day for the duo. For me it looks like another active day. A much improved fractal is almost certain in 24 hours. Until then, take care, and don't remember to not forget. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Chicken_Scratches { ; time=0:01:14.31--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip center-mag=+2.06065951153255700/+1.039421012772718\ 00/651103.4/1/35/6.10795031913413666e-009 params=1.38/-1.6/1.38/-8.6/0/525 float=y maxiter=350 inside=0 logmap=44 periodicity=10 colors=0007Ig4Fj6Jl8MmAQnCToEWpG_qIbrKesMitOluQovS\ swUvxWyyczzhzzmzzrzzvzzzzzRUFPRFMPFKMFIJFFHFDEFBBF\ 89F66F44F89ECDDGICKMBNQARV9Vz8Zz7bz6ek6ci8ah9_fBYe\ CWdDUzFSaGQ_IOZJNYKMWNMVQLTTLSWKQZKPaJNdJMfIKiIJlH\ HoHGrGEuGDxGCzHEyIGxJIxKKwLMvLOvMQuNStOUtPWsQYrQ_r\ R`pR`oS`nSamTalTakUajUbiVbhVbgVbfSabP`ZM_WJ_SHZPEY\ LBYH8XE5WA3W79U6FT6LS6RQ6WP6aO6gM6mL6rK6QagSZdUXbW\ V_YTY_RVaOTcMQeKOgIMiGJkDHmBEo9Cq79s57u35tA7tG8sMA\ sSBsZDrdErjGrpHpoKnoMmoPkoRjoUhnWgnZen`dncbneangco\ fdoeeoefodgodhpcipcjpbkpblpampaMuBejIdiIdiIchIbhHb\ gHafHafH`eG`eG_dG_cGZcFZbFYbFYaFX`EW`EW_EVZEVZDUYD\ UYDTXDTWC000SWCSVCRVCRUCQTBPTBPSBOSBORANQANQAMPAMP\ 9LO9LN9KN9JM8JL8IL8IK8HK7HJ7GI7GI7FH6FH6EG6EF6DF6C\ E5CE5BD5BC5AC4AB49A49A4893893783773672562562452441\ 341331231220110110000e9Zd8Yd8Yc8Yc8Xc8Xb8Xb8Wa8Wa8\ Wa8V`8V`7V_7U_7U_7UFO_BLc } 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 runs very happily under OS/2"
by Hal Lane 18 Jul '05

18 Jul '05

>Fractint runs very happily under OS/2 Thanks for sharing the data point re Fractint running under OS/2. - Hal Lane ######################### # hallane(a)earthlink.net <mailto:hallane@earthlink.net> # ######################### >Date: Fri, 15 Jul 2005 18:40:48 -1000 >From: david <gnome(a)hawaii.rr.com> >Subject: Re: [Fractint] FRACTINT.CFG; A zoom of Jim Muth's FoTD for > Jul 09, 2005 "A Purrfect Fractal" >To: Fractint and General Fractals Discussion > <fractint(a)mailman.xmission.com> >Message-ID: <42D88FD0.20908(a)hawaii.rr.com> >Content-Type: text/plain; charset=iso-8859-1; format=flowed > >Hal Lane wrote: > > > Note that modern computers have enough RAM so that Fractint > > essentially never uses the disk for simulating video memory. > >Hmm, my not-so-modern Duron box, where Fractint runs very happily under >OS/2, never uses the disk in that situation. OS/2 tells the DOS session >that it has a huge pile of extended or expanded or DPMI memory, and >Fractint says "Weeeee!" > >Heck, even the oldest computer in the house (350MHz AMD K6-2) has 384MB >of RAM, although Fractint and Windows never got along on it ... > >-- >David >gnome(a)hawaii.rr.com >authenticity, honesty, community > > -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.323 / Virus Database: 267.9.0/50 - Release Date: 7/16/05

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FOTD 18-07-05 (It Laid an Egg [6])
by Jim Muth 18 Jul '05

18 Jul '05

FOTD -- July 18, 2005 (Rating 6) Fractal visionaries and enthusiasts: In today's fractal I changed the Z^2 of yesterday's image to Z^2.5, resulting in a larger parent figure-eight fractal, with a more complex valley on the east side. This east-valley area holds much of interest. Unable to examine everything, I chose a curious bud shaped like a midget. The filaments of this bud-midget have curious holes scattered along them. Today's scene is located on the shoreline of one of these holes. I named the image "It Laid an Egg". The name has nothing to do with the quality of the image. It refers to the egg-shaped area surrounding the central midget, and the questionable things going on within. The expected 2,4,8... series of elements seems to be there, but the expected near-perfect symmetry has taken kind of a beating. These not-quite-right areas of fractals often hold the most interesting and unexpected images. Today's image rates a 6, one point of which is due to its symmetry problems. The render time of 28 minutes is a bit slow, but may be avoided by downloading the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> We had heat and humidity aplenty here at Fractal Central on Sunday. The temperature rose to 90F 32C, but there was no sign of the torrential rain and lightning storms that plagued the area yesterday. Thanks to the more settled weather, the fractal cats had an entire afternoon of relaxation in the holly patch. Today is starting hot and just a slight bit less humid. If no storms come up, the cats should have another acceptable day. For me it's work and fractals. The next FOTD will appear in 24 hours. Until then, take care, and beware of the pods. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= It_Laid_an_Egg { ; time=0:28:02.22--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.10785186997744410/-0.096510242252081\ 25/1.700881e+009/1/112.5/-6.46943647264475175e-008 params=2/-0.1/0.1/2.5/0/0 float=y maxiter=4200 inside=0 logmap=516 periodicity=10 colors=000EXWG__IccJghLklNopPstQvxRrwRovRkuRhtSdsS\ arSYrSVqTRpTOoTKnTHmTEmVFkWFiXFhYFfZFd_Fc`FaaG_bGZ\ cGXdGVeGUfGSgGQhGPjJTkMXFJ`IGXLDSO9OR6JT3FV7IXALZD\ N`GQbKTdNVfQYhT`jWbkVdkUflUhlTimTkmSmmSnnRpnQroQto\ PupPwpOypOzuTstXmt`gtdashWslQspKstFD5PJ6XP7dV8l`8t\ YFlVLeTRZQYSNcLLiEKgFJfFJeGIcGHbHHaHG_IGZIFYJEWJEV\ KDUKDTKERIFPGFNFGLDHJCHIAIG9JE7JC6KA4K93SA7_ABfBFn\ BJuBMnMJhXGbfD_dEXcEVbESaEQ_FNZFLYFIXFGVGDUGBTG8SG\ 6RGCSDHTAMU7RU5NU2IU5DU88UB3UDCUGLUITUKaRMiOOrLQzJ\ SezJatMYoPUiSRdVN_YJU`FPcCKeIJdNIcSIbXHbbGagG`lF_q\ F_skbjhobknwwmwwmwwmwwmzzisrSolXhc``VeULiMCnF3rQBo\ _ImiQjsXhnWiiWieVj`VjXUkSUkOUkVQj`MjgIjmEjsAjtEeuI\ avMXwPTuTPsWMq_JobGmeDkiAil7go4bgBZ_HUSOQLUVT___ed\ gkinqmuvfot_irTcpMZoFTm8Nk1Ij9MeHP`PTWXWSRaRLgQFmP\ 9sPRtMRuLFvF3w97xBByDEzFIzGMzIPzKTzLXzN_zPczRgzSjz\ UnzWqzX3z65zB7zF9zJBzNCzS } 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 17-07-05 (In Passing [5])
by Jim Muth 17 Jul '05

17 Jul '05

FOTD -- July 17, 2005 (Rating 5) Fractal visionaries and enthusiasts: With lightning striking in the area almost all day Saturday, I kept the computers unplugged. This left little time for fractal exploration. Luckily, things settled down around midnight, and I barely managed to find a fractal. I did not actually search for today's image; I merely happened upon it in passing through in search of larger game. This is why I named the serendipitous image "In Passing". The parent fractal was created by combining 2 parts of Z^(-0.1) with 0.1 part of Z^3 and adding (1/C). The resulting fractal is shaped much like a figure eight. Today's scene is located in the eastern valley of the 'eight'. Actually, with its rating of 5, the image is better than it has any right to be. The totally random color palette works unexpec- tedly well in bringing out the twisted, tortured effect of the fractal elements. And to top things off, the render time is a satisfyingly short 5-1/2 minutes. Those with internet access, (and who is not in that group), may save a bit more time by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and downloading the finished GIF image from there. One rain-and-lightning storm after another moved through the Fractal Central area on Saturday. The explosive thunder kept the fractal cats well out of sight, hidden in the deepest recesses of the large closet. They did not emerge until just after midnight when the noise finally abated. Surprisingly, the fractal basement remained dry even though over 4 inches 10cm of rain fell during the day. It's too bad that the local electric companyette could not keep the electricity flowing. Today is starting extremely warm and humid, but so far it is dry. The cats are still skittish. We'll see how it goes. Unless something unexpected happens, the next FOTD will appear in 24 hours. Until then, take care, and keep your powder dry. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= In_Passing { ; time=0:05:29.88--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.31250229103769440/+0.060147269763216\ 66/72508.8/1/-105/3.03052194450259549e-009 params=2/-0.1/0.1/3/0/0 float=y maxiter=1600 inside=0 periodicity=10 colors=000SGWJBL95AOW`NKJxvlUTOQN7nzqPVR4qu2_a1IJO\ kCI_9CO66C3sfP`SGIE8tDEhraMRJ0ys4dd3UU2KK1AAlqP_cI\ ORCCD6Z8PN5GB28Wk4O_3GO28C1MpPwWIhODUG9F84sWsY5VM3\ KB1AfswS`cEIKe_USOKECAErfAdW7RL3DAFhc7MK4Oj2CNG6WC\ 4O83G418twhehXSUMEFBXxEGU7vinTNPZeKQVFHLA8A5FJc79K\ VeWP22G11800HIcCDU89K44A35CmzhXeUGLFmycPVKKHEA870w\ b0cQ0KDxKNcDFK67wfRF5T72EvvxsAd`6RI3D__JRREII9994`\ EWRAOI7G938FNYAFM57B60r30RcK_QDOD6CF7oMgCET87E4BCi\ 89Y56N23BlcG_UCOK8CA4nyUwNocFYK7H9lk6__4OO2CCcAcU7\ UK5KA2A2fZ1LHTiaoPfQCLGQS8DEAeW6SL3EAPsTCSE9Fm6AX3\ 5GRYNKPHDHB685HjZ8NHgYPMHCgmI7KN3ABe319xvuliTONlx1\ Juj9TNilNNOBY0LP0FH0A805jx1Vc0FK04bR3TK2JD1961rH0R\ 81KQ0DH068f3PIS39E1YHmGL_HMXJOUKPRMYaOflQovwRDDQTR\ wrDURliU_YMONFCB78Xn`Lv4SnVwaFUJD7Y63HS6gI4T92EJk9\ iShUIUF9FWQeOJVGDL86A9Hu6Ba35J8sa5`P2ICG_18I0T9bE4\ JtowebhSQUEDFkLQWEHG78aMf } 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 16-07-05 (A Fractal Image [3])
by Jim Muth 16 Jul '05

16 Jul '05

FOTD -- July 16, 2005 (Rating 3) Fractal visionaries and enthusiasts: It is 4:05pm. Today's FOTD is late due to a heavy storm and power outage from noon until 3:30pm. But things are now back to normal. I am disappointed with today's image. When I first saw the parent fractal, which was created by combining 2 parts of Z^(-0.1) with Z^2 and adding C, I had high hopes for a great image. But alas, my hopes were in vain. The parent fractal appears quite interesting on the surface, but deep inside it has little of worth. Totally uninspired with the outcome of the day's exploration, I named the image "A Fractal Image" and rated it at a lowly 3. The parameter file, which takes 23 minutes to run, is far too slow for such an unimpressive image. A far more efficient way of viewing the humdrum fractal is to download it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> 88F 31C degree heat and high humidity made things uncomfortable for humans on Friday, but no rain fell, giving the cats a dry afternoon in the holly thicket. When dusk arrived, they came inside for their tuna treats without complaint. Today is starting the same, but distant thunder is grumbling. Unless it storms, today will likely be another acceptable day for the duo. For me, it will likely be an uneventful day. The next fractal will come from nowhere and will appear as the next FOTD in 24 hours. Hopefully, it will be an improvement over today's. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Fractal_Image { ; time=0:23:38.98--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-1.97782662172448200/+0.444979621904237\ 80/2.368234e+010 params=2/-0.1/1/2/0/0 float=y maxiter=7200 inside=0 symmetry=none periodicity=10 mathtolerance=0.05/1 colors=000Y4UW5UV6pU7kT8gS9cRAZQAVPBROCMNDIMEELF9K\ G5JG1LI3MK5NM7PO9QQBRRDSTFUVHVXJWZLX_N_VPaRQcNSeJT\ hEUjAWl6Xn2Yk5Wi8UfBTdERaHP_KOXNMVQKSTJQWHNZFLaEId\ CGgB9MH21N48P6EQ8KRARTCXUEbVGhWFiVEjUDjUCkTBkSAlS9\ mR9mQ8nQ7nP6oO5pO4pN3qM3qM2qK2qJ2qH2qG2qE2qD5gA8Y7\ AP5AO8AOAAOCAOFAOHAOJAOMAOOANQANTANVANXAN_ANaANcAN\ eGLhMKjSImXHoUGnSFmPEmNDlLDlOGjRJhTMfWPdYSb`U`bXZe\ _XgbVjeTlgSkdPjbMi`JhYGgWEfUBeR8dP5dN3eL7fKBgJEhII\ iHLjFPkESlDWmCZnBboAepDfpGfpIgqLgqOhqQhqThrWirYir`\ jscjsekshksjkrigqicqi_piWohTohPnhLmhHmhEaiFQjFEkF3\ kF2lG2lH2mH2mI2mI7kJBjKFiLJhMNgMRfNVeOZdPbcQfbQjaR\ n`Sr_TvZUzYUy_PyaLxcHxeCwg8wi4vg8vfBveEvdIvcLvbOva\ Ru`Vu_YuZ`uYcuXguWjuVmuUpvSqvRqvQqwOqwNqwMrxKrxJrx\ IrxHrtIqqJpnKokLohMneNmbOm_OlWPkTQkQRjNSiKTiHUhEVg\ BVgCXhDZiE_jFakGckHdlIfmJhnKinNflPdjRbhU`gHDOYXc`V\ abS`dQZgOXiMVVCyWAyX8yY6y } 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.CFG; A zoom of Jim Muth's FoTD for Jul 09, 2005 "A Purrfect Fractal"
by Hal Lane 16 Jul '05

16 Jul '05

############################################################### This zoom of Jim's FoTD for Jul 09, 2005, "A Purrfect Fractal," changes the color balance of the overall image, shows a larger Mandelbrot midget and reveals interesting details which were too small to see in the original fractal. Although not really an exceptional fractal, I think it is a pleasant fractal. It seems that I just always want to see the details around that midget just a little bit more clearly, so I am compelled to zoom in... Unfortunately, this fractal takes a while to calculate -- an hour and a half on my P400. Perhaps you could calculate it as a background fractal as I did using Fractint's "Disk / RAM 'Video'" feature (in the video mode selection choices). -------------------------------------------------------------- FRACTINT.CFG Incidentally, I found that it was easy to add new "Disk / RAM 'Video'" entries to create fractals of X and Y sizes not originally in the list of available sizes. I did this by adding new lines to the video table in the text format video configuration file: FRACTINT.CFG. I just duplicated an existing "Disk / RAM 'Video'" table entry and changed the X and Y values. I used X to Y ratios of 4 to 3, although that is not necessary. Where the new entries are located in the table is not important. Now, when I choose Fractint's video mode using the Del key, my new video modes can be scrolled down to and selected and used without any problems. Don't forget that you still have to save your fractal after it has been calculated using the "Disk / RAM 'Video'" feature... Note that modern computers have enough RAM so that Fractint essentially never uses the disk for simulating video memory. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### START PARAMETER FILE======================================= A_Purrfect_Zoom_B {; Hal Lane 7-12-05 1:34:34 P400 1024x768 ; Zoom of Jim Muth's Fractal of the day, ; Jul 09, 2005 reset=2004 type=formula formulafile=pastengo.par formulaname=mandelbrotmix4 function=ident passes=1 center-mag=-1.20780406270965200/+12.0583392144561100\ 0/652659.5/1/87.5000000003850431/-3.7855085177618264\ e-009 params=-1/1.01/1/-1/0/525 float=y maxiter=15000 inside=0 outside=summ periodicity=10 sound=off colors=000TLm<3>aFhcEgeCf<2>l8bn7aoCd<3>qVnq_pqcr<3>\ mbTlaNkaGjaAja4AJp<3>EbrEfrFkrGpsHusHys<3>SmSVjLYgE_\ d7<9>`QG`PH`NI<3>`IL<4>QKMNKMLKM<3>DLM<5>PO_RObTPd<3\ >_Qm<3>ORgLRfISe<2>9Sa7S`6VZ<3>4dT3gR2jP<2>1qL<3>ETQ\ HNRKHSNBTQ5U_8YhAa<6>_OdZQeXSe<3>TZf<3>nve<3>aaUYXSV\ SPSNMPIJMDH<8>INAIO9HP8<2>GS6GT6HV7<5>KaBKbCLcD<3>Nh\ FNZGOUHOOHOLDO39<3>cG2<2>atziwrqykEaC<2>FZnRKE<3>W87\ PN8I`9JcPElbKecz3b1fO8gZEghu5YJbf<2>KfonGwgu5_pMSkbz\ OHEiBC45GOU6rKOVzYF7YeVRfff5tZIsRVrnWFhfQWgdWM9SUPO`\ czlgkjkYhoVCoRNpNYqUapSVz<2>Mdt4`ATh8IYKJaWKdggLFr`b\ 1a_8cfEelelQ2sl_4eUIjPVnMNpNOpOOpRMn } 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====================================== ######################################################## -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.323 / Virus Database: 267.8.15/49 - Release Date: 7/14/05

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FOTD 15-07-05 (The Wheel of Life [7])
by Jim Muth 15 Jul '05

15 Jul '05

FOTD -- July 15, 2005 (Rating 7) Fractal visionaries and enthusiasts: To create the parent fractal of today's image I took negative recip(sqrt(Z)) and combined it with Z^2 before adding (1/C). The resulting fractal is a very distorted main Mandeloid with twisted disconnected filaments scattered to its east and a large hole not far to its south, which is connected to the main Mandeloid. Today's scene lies on a tiny side filament extending from the large hole. I named the image "The Wheel of Life". Trying to organize my philosophy, I have worked myself into a kind of mystical mood lately, and the name fits my mood. Instead of the usual black background, today's image has a brilliant white background, which emphasizes the many sub-holes scattered through it. The rating of a 7 seems about right. The colors are quite intense, perhaps a bit too intense, and the 'tdis' outside option works quite well at bringing a sense of 3-D reality to the image. The magnitude of the image is in the range where strange things start to happen with its size unless the mathtolerance entry is included in the parameter file. The render time of 5 minutes is joyfully fast, giving impatience little time to rear its head. Those with machines that are allergic to Fractint may see the image by downloading it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a high temperature of 86F 30C, Thursday turned out to be not unbearably warm, but it was very humid here at Fractal Central. Fractal cats are un-bothered by high humidity however, unless it starts to fall as rain. No rain fell while the cats were taking it easy in the holly thicket, so I guess their day must be considered a success. Today is starting much the same. If the rain holds off again, it will be another good day. For me, the work is starting to pile up and it looks like a busy day. The next FOTD will appear in 24 hours. Until then, take care, and keep your day in tune. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Wheel_of_Life { ; time=0:05:04.78--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.72352856661089870/-0.132149562601626\ 40/4.256858e+012/1.0001/37.503580311835151/-0.0068\ 0660533600676437 params=-1/-0.5/1/2/0/0 float=y maxiter=1200 inside=253 outside=tdis periodicity=10 mathtolerance=0.05/1 colors=000OObPPcRQeTRgUShWUjXVkZWm_XnaYpbZqY`pUbpQ\ dpMfpHhoDjo9lo5mo6lk7kh7kd8ja9jY9iVAiRBhOBhLGfOKeR\ PdUTcWXbZaaae`cj_fnZirYkh_gZadQc`GeY7fV8`X9VYAPZBJ\ `CDaD8bJA`OBZUDXZEVdFTiHRoIPtJNoKPjLQeMRaNSXOTSPVN\ QWJRXESY9TZ5T_AUXFVVJWSOXQSYOXZLa_Je`GjaEnaCkbEhbG\ ecIadLZdNWePTeRQfTNfVOdKObAO`0TSCXKN`BYd3he4ef4cf5\ `g5Zg6Xh6Uh7Si7Pi8Nj8Lj9Ik9Gk9EgADdAC`ABYAAVB9RB8O\ B7KB6HC5EC4AC37C24C15I26N37S47X58a69f79k8CcGFXNIQV\ LJaOCiQ5pMCrIItEOvAUx6_y7`s7am7ag8ba8bW8cQ8cLDcOHc\ QLcTPcVTcYXc_acaecdicfmciqckucmrgopkpmnqkrriusnTYs\ 1DkAGcJIWSLO_NGhQ8qS0yU4wV7uVAsVDqWHoWKmWNkXQiXUgX\ XeY_cYbaYf_ZiYZlWZoUZnTXnSWmRVmRUlQTlPSkORkOQjNPjM\ OjMNfNMcNL_NLXNKTNJQNJMNIJNImpfgfcbX`YNYTDVO3SQ7QR\ APSDOTGNUJMWMKXPJYSIZVH_YGa`EbcDcfCdiBelAfk9gj9hi9\ hh9ig9jf9je9kd9lc9lb9ma9n`9n_9oZ9pY9pY9lZDi_Ge`Kba\ NZbQWcUSdXPe_UEZzrzODMMM` } 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 14-07-05 (Electron Clouds [7])
by Jim Muth 14 Jul '05

14 Jul '05

FOTD -- July 14, 2005 (Rating 7) Fractal visionaries and enthusiasts: For the past two days I have said that the "Hanging Garden" image of July 12 contains midgets. Today's image proves it. Today's "Electron Clouds" scene exists in the "Hanging Garden" image of two days ago, where it was hiding itself among the garland of flowers spanning the sky. Today's image consists mostly of inside stuff. To make this stuff visible I have rendered the image with the inside set to 'zmag', one of the slower inside options, which I rarely use, but which, in today's fractal, works better than any other inside option. The name "Electron Clouds" is a reference to my wonder years, when I was just discovering science and the nature of the world in which we live. (That sense of wonder is now shared by the world of fractals.) Back then, I visualized an atom as a kind of miniature solar system, with a central nucleus like a boiling raspberry and tiny material electrons circling the nucleus like shiny silver planets. When I asked my high school physics teacher what those electrons are made of, and what they actually look like, he replied that I was a philosopher, and told me that I would be a good physicist. At the time, this puzzled me. I thought that physics was about as far from philosophy as it is possible to get. I have since learned that he was not as wrong as I had supposed. Electrons, as well as all the other atomic and sub-atomic things, are too small to reflect light, and therefore do not possess the attribute we call appearance. Asking how they look is meaningless. An atom that resembles a miniature solar system is only a mental model, a philosophical idea which makes it easier for us to think about atoms. The real question is what, if anything, is really down there, serving as the building blocks of physical matter. (Or could it all be an illusion, and if so, what is having the illusion?) Well, I see myself drifting from the topic of fractals, into the field of philosophy, about which I will have much to say in the near future. But for now, it's time to get back to the fractal basics. In my opinion, today's image is worth the 7 I have given it, even though I had to hurry a bit when coloring it. The render time of 35 minutes is slow, but the medicine for impatience is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> from where the completed GIF image can be downloaded. The air was sopping wet with humidity here at Fractal Central on Wednesday, while the temperature reached a high of 88F 31C even with the heavy clouds. But luckily for the duo, no rain fell, permitting them a full afternoon and evening in the holly patch. At nightfall they came inside without coaxing to enjoy their evening treat of tuna. Today is starting in a similar manner, so, unless it rains, I expect similar things from the cats. The next fractal will appear by near-magic 24 hours from now. Until then, take care, and what is an electron cloud made of? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Electron_Clouds { ; time=0:35:49.12--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-18.52288803632655000/-1.37150093362403\ 200/73.30452/1/-102.5/1.14376633164603447e-011 params=-0.99/1.01/0.99/-1/0/3600 float=y maxiter=1000 inside=zmag periodicity=10 colors=000H8kJ9lKBnMCoNEqPGrQHtSJvSJwSJyQLwQLwQMwQ\ MwQOvPOvPPvPPvPRtPRtPStNStNUtNUrNWrNWrMXrMXqMZqMZq\ M_qM_qKaoKaoKcoKcoKdnJdnJfnJfnJglJglJilHilHklHkkHl\ kHlkFnkFniFoiFoiFqiHqgFqiFpiEpiEpiCoiCoiAoiAoi9nk9\ nk7nk7nk6mk6nk5mk5nk6nl7nn7nn9no9oqAoqAorCotCptEqv\ FqwFqwHqyHrzJrzJrzKrzKtzMtzMtzNtzPtzPvzQvzQvzSvzSw\ zUwzUwzVwzXwzXxzYyzYyz_yz_zzazzazzbzzdzzbzzbzzbyzb\ yzayzawzawzavzavz_vz_tz_tz_rz_rzYrzYqzYqzYozYozXoz\ XnzXnzXnzXlzVlzVkzVkzVkzVizUizUgzUgzUgzUfzSfzSdzSd\ zSdzSczQczQczQazQazQ_zP_zP_zPZzPZzPXzNXzNXzNWzNWzN\ UzMUzMUzMSzMSzMSzMRzMRzNPzNPzNOzNOyNOyPMwPMwPLvPLt\ QLtRJrSJrTHqUHqVGoWGoXGnYEnZEl_Cl_CkZCkYBiXBiWBgVB\ gUBgTBfSBeRBcQBcPBcOBaNBaMB_LB_KBZJ9XI9XH9WG9VF9VE\ 9SD9SC9SB9RA9R99Q79Q79Q69O69O79I69N69R59X59_59d59g\ 59l59o59t59w59z59z59z59z58z58z58z58z58z58w58v68r67\ q77n77l97k97iA7gC7fE7gF7i } 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 13-07-05 (Enriched [4])
by Jim Muth 13 Jul '05

13 Jul '05

FOTD -- July 13, 2005 (Rating 4) Fractal visionaries and enthusiasts: In yesterday's discussion I said that in today's image I would show a midget that lurks unseen in yesterday's image. Indeed, I have found such a midget and finished the image, but before posting it, I wanted to post today's image, which has been sitting in my 'future FOTD' directory for several weeks. Today's scene is located in a small valley in the oversized fractal that results when portions of Z^(-1.1) and Z^(-11.1) are combined and (1/C) is added. For some unknown reason, when I found it about a month ago, I named it "Enriched". It is hard to imagine why I would give a below-average image such a name. The rating of a 4 is all I could do for today's image, which is little more than a retelling of a fractal story that has been told again and again in the classic Mandelbrot set. The 9-1/2 minute render time is a bit slow for such an un-notable fractal, but the wait may be eliminated by downloading the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a temperature of 93F 34C and high humidity to contend with, the fractal duo avoided as much activity as possible on Tuesday. They spent the entire day lurking in the holly thicket, always alert for danger. Today is starting foggy and warm. If the fog burns off, it will be a repeat of yesterday. For me, the work is once again getting behind, so it will be a busy day. The next fractal will appear in 24 hours. Until then, take care, and why doesn't it all make sense. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Enriched { ; time=0:09:38.20--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.23055178797188210/-1.664362889754432\ 00/7.164018e+008/1/85/0.000159799720913900156 params=1/-1.1/0.1/-11.1/0/0 float=y maxiter=1200 inside=0 periodicity=10 colors=000DWUF_QGdMFgAHhJJiRLjZIlkMkfQjaTjXXiT_iOc\ hJaeDdgEfhFhiFkjGmkGolHtkGslHrlHqmHpmIonInnInnIlkK\ kiMjgOieQhcSUv_`kXgaUnRRzNXzUSuHOrEJpBFb8Ak66j8CiA\ IhCOgDUfF_eHedJkdKqNJb34K4BM5IO6PQ7VR8aT9hVguYWrXL\ pWAnWFN2UR3hV4wY4oZAh_Fa_LU`QN`WGa`4di9aeEZaJWZNUV\ SRSXOObFRaJO`ML_PJZSG_Q4YVEW_NX4cWM_VcWUzXVxVVvUVu\ TVsSVqRbvWVpQOkKHfE5c1Aa8F_EKYKPWRUUX`FS_KWZO_ZTbY\ XfXajXemWjqAh7IjOPldWntShoOcjKZeGU`WGjPJeJM`DPWElO\ AaQ4OV7SRAWOCZLFbIIfFKiCPZJTPQXEX`4c_5c_5bZ5bZ5bZ5\ bY5bY5aX6aX6aW6aW6aV6`V6`V7`U7`U7`N9YT7_T7_S7_S8_R\ 8_R8ZR8ZQ8ZQ8ZP9ZP9YO9YO9YN9YN9YexhdwgdYgnugibgwvg\ chfbrvbqfbpfbofaozaneame`le`ke`ke_je_id_hd_gdZfdZf\ dZedYdcYccYbcXbcXacX`cX_bWZbWZbWYbVXbVWaVVaVUaUUaU\ TaUSaTR`TQ`TQ`SP`SO`SN`SM_RM_RL_RK_QJ_QI_QHZPHZPGZ\ PFZj`ESgS1tx6qnUwUZUL8MRcz0EkWGX_CoQFZXIIcI2DG4JE6\ OD8UBAZ9Cd69m8Ei9IeBNaCRY } 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 12-07-05 (Hanging Gardens [5])
by Jim Muth 12 Jul '05

12 Jul '05

FOTD -- July 12, 2005 (Rating 5) Fractal visionaries and enthusiasts: There is a curious phenomenon well known to artists, which I call circular improvement. It happens when an artist studies his work and decides that something needs to be changed to improve the work. When the change is made, he sees another change that would improve it further. Finally, after numerous changes, every one of which brings a small improvement, he compares the revised work to the work as it stood before he began the revisions. Surprise! The original version is in some ways better than the much revised version. This same thing happened to me as I worked on the colors of today's image. After many color revisions, I found myself back where I started. To produce today's fractal I made a very small change to the parameters of yesterday's image. The tiny change opened the spurious area of chaos into a whole new world of exploration. I have just begun the exploration, but already I have found several scenes worth additional effort. Today's image is named "Hanging Gardens". No, we are not back in ancient Babylon, we are in a fractal in the present-day era of advanced technology that is leading us to who-knows-what. The scene resembles a mountainous terrain with a garland of flowery decorations stretching across the sky. The garland appears to be hanging from nothing, thus the name. Though my trademark midget is nowhere to be seen in today's image, countless midgets too small to be seen lie hidden throughout it. One of these midgets will reveal itself in tomorrow's FOTD. The image consists of half outside and half inside stuff. The inside stuff has been rendered with the inside set to 'bof61'. Some of the other inside settings produce images nearly as good. I could rate today's image no higher than a 5. Without a midget at the center it just doesn't seem to be a true Fractal of the Day. The render time of 15 minutes can be cut drastically by calculating the image with the passes set to 'g' or 't', though doing so will cause a bit of the finer detail to be missed. A better way of saving time is to download the pre-rendered GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The high temperature of 90F 32C here at Fractal Central on Monday was quite warm for the dynamic duo to endure, but being intrepid, they braved the conditions for all of two hours, keeping as cool as possible in the shade of the holly trees. I braved the tropical conditions in the comfort of my air-cooled workroom, where the FOTD images come into being. Today is starting the same; I expect more of the same from the fractal cats. The next FOTD image will appear in 24 hours. Until then, take care, don't be too credulous, and don't become too closed minded. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Hanging_Gardens { ; time=0:15:39.36--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-17.9735/-1.95726/0.8318545/1/7.5/3.885\ 7805861880479e-016 params=-0.99/1.01/0.99/-1/0/3600 float=y maxiter=1000 inside=bof61 periodicity=10 colors=000QBOPCzODRNEzNFTMHzLIVKJzKKYJLzIM_HOzGPaG\ QmFRdESeDUfDVgCWhBXiAYk9_z9`m8Un7cp6cp6cq7cp7cp7bn\ 7co7al7cn7_k7cm7Zi7cl7Yg7ck7Xf7cj7Wd8Vc8Ub8Ub8Ta8T\ `8S_8RZPU_QWZRYYSSXT`WUWWVcVW`UWUTXeSYjSZkR_UQ`oPa\ UObxKaUMasNaqOaoPamRakSajT`hU`fV`eX`cY`bZ``_UUa`_`\ _Z_ZYZYYZYXYXWXWWXVVWUUVUUVTTUSSTRSTRRSQQRPQROPQNO\ PNOPMNOLMNKMNJLMJKLIKLHJKGIJHHIGIJGIJGJJGJJGKKGKKG\ LKGLKGMKGMLFNLFNLFOLFOMFPMFPMFQMFQMFRNFRNFSNESNETO\ ETOEUOEUOEVOEVPEWPEWPEXPCWNEXPGXQHYRJYSLYTMZUOZVQ_\ WR_XT_YV`_W``Yaa_ab`acbbddbeecfgcgkdihchfbhcaga`gZ\ _gXZfUYfSXfPWeNVeKUeITdFSdDRdAQc8Pc6Oc8Pd9QdAReCSe\ DSeETfFUfHVfIVgJWgKXgMYhNZhOZiQ_iR`iSWjTajVWjWckXW\ k`boZYmYdkX`iWfgVaeUgcScaRi_QbYPiWO`UNjSMcQKjOJcMI\ kKHaIGjGFUEDjCCdABi8A`69i48b27g08Z49gCA`KBhSCb_Djb\ BclEjpGWpIfpKbpMipPUpRjpThpVfpXNp_cpaapc_pUZpgXpUV\ plUpUSpKLpLNpMOpNQpORpGMp } 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 11-07-05 (Super Unexpected [7])
by Jim Muth 11 Jul '05

11 Jul '05

FOTD -- July 11, 2005 (Rating 7) Fractal visionaries and enthusiasts: In yesterday's discussion of the 'unexpected' fractal, I commented on an unusual area of chaos connected with the south branch of Seahorse Valley and lying some distance from the main figure. Since then, I have examined this chaotic area and found it more interesting than expected. In fact, the area holds intact midgets, one of which appears as today's image. I am now wondering what this area will change into when I tweak the parameters. Perhaps by the time tomorrow's image appears, we shall know. Instead of the well-defined bands of equal-iteration count, in today's image we see symmetrically-arranged bits and pieces of decorative reddish-green elements floating before a chaotic purplish background. An unexpected quadratic Mandelbrot midget lies, as usual, at the center of the frame, serving as a unifying theme. I named today's image "Super Unexpected", since the chaotic area appears to be the beginning of something entirely new, unlike anything that exists in the classic M-set. Because of its colors, on which I put a bit of extra effort, the image rates a 7. A 6-1/2 might be more accurate, but I wanted to give myself a little pat on the back. The render time of 16 minutes is appropriate for such an unexpected scene. And even this short time may be eliminated by downloading the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A slightly hot 88F 31C but otherwise absolutely perfect day here at Fractal Central on Sunday gave the fractal cats abundant reason to pass the afternoon sleeping in the holly thicket. Their repose was uninterrupted by wandering tomcats. Today is starting sunny and a bit warmer. It might be too warm for the duo to spend another afternoon outside. For me it's work first, fractals second, the next of which will appear in 24 hours. Until then, take care, and take it easy when pondering the imponderable. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Super-Unexpected { ; time=0:16:07.72--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-15.52168938650432000/+0.77168018950929\ 570/738.5992/1/132.5/4.69839209205069608e-009 params=-1/1.01/1/-1/0/3600 float=y maxiter=3000 inside=0 logmap=187 periodicity=10 colors=000FbcFaaF`_F_YGZXGYVGWTGVRGTPGSOGRMGQKGOIG\ OGGMFIOEKODMPCOPCRQBSRAVR9WS9ZS8_T7bT6aU7`W7_X7ZY7\ YZ7X`8Wa8Vb8Uc8Ud8Te8Sg9Rh9Qi9Pj9Ok9NmAMnAMoALpAKq\ AJrAItBbuBOvBTwBYxBbyBgxDlxEqxGvxHvxIvxKvxLvxMvxOl\ xPbyPTxQJwRKwRMvSOuSPuTRtUTtUUsVWrVYrWZqW`pXbpYcoY\ eoZgnZhm_jm`ll`mkaokaqjbtkarjbqicpidohenhfmgglghjf\ iiejhekgdlfdmecndcobbpaaq`ar_`sZ`tY_uYXwX_vWavVcvU\ euThuSjuRltQntQsuPptPntPlsOjsOhrOfrNdqNbqN`pMZpMXo\ MVoMTnLRnLPmLNmKLlKJlKHkJFkJDjJBjGAkI9jJ9jL9jM9jN9\ iP9iQ9iR9iT9iU9hW9hX9hY9h_9h`9ga9gc9gd9gc9gb9fb9fb\ 9fb9fb6bb8db9fbAhdBi`CkXDmTEoPFpLGrHHtEIuGJrIKpJLn\ LMlMMjONhPOfRPcSQaUQ_VRYXSWYTU_USWUQaRScOUeMWfLYgK\ _fJ`eIbdHdcGebFgaEi`Dj_ClZBnYAoX9qW8sV7tU6vT5xS5yU\ 4zW4zY4z_4za3zc3ze3zg3zi2zk2zm2zo2zq1zs1zu1zu0zu0z\ u1zu2zu3zu4zt5zt6zt7zt7zs8zs9zsAzrBzrCzrDzrDzqEzqF\ zqGzpHzpIzpJzqKzqKzqKzqKz } 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 10-07-05 (The Unexpected [6])
by Jim Muth 10 Jul '05

10 Jul '05

FOTD -- July 10, 2005 (Rating 6) Fractal visionaries and enthusiasts: I rarely choose an entire parent fractal to be the FOTD, but today I have done so. Today's image is the parent fractal of yesterday's 'purr-fect' image. True, I have increased the escape radius to 3700, but I did this only so that none of the fractal would be cut off. The image is named "The Unexpected". The name refers to the unexpected degree of distortion suffered by the Mandeloid that fills the screen. All the parts of the classic Mandelbrot set are there, a fact that can be demonstrated by examining the nature of the inner detail, but the parts are arranged in a manner that has little to do with the classic Mandelbrot set that we know so well. To start, the largest bay in the image is not the main bay, it is the period-2 bud. The smaller bay attached to the upper right edge of the largest bay is actually the 'main' bay of the Mandeloid, and the colorful valley separating the two bays is actually Seahorse Valley. East Valley of today's Mandeloid is barely visible, appearing as a tiny dimple on the northeast shore line of the main (but smaller) bay. In the lower left of the frame lies Scepter Valley, with the remaining buds and the main stem extending relatively undistorted beyond. As for the arrangement of the iteration bands, it makes no sense at all. Instead of being centered around the origin, as would be expected, they are centered around the apex of Seahorse Valley. And centered is hardly the proper word to use for their arrangement. In fact, the iteration bands actually open to form an entirely new fractal near the right edge of the frame. This area appears to hold nothing but total chaos, but it is worth a closer look, which I will give it later today. The rating of a 6 is really a bit overblown. The image is blatantly average. But I kind of enjoy doing things to Mandeloids, and what has happened to today's Mandeloid is worth the one-point increase. Another good feature is the high speed of the image, which renders in only 1-1/2 minutes on my old warhorse machine, and will render in less than one minute on almost any present-day unit that is not Fractint challenged. Those whose computers roll over and play dead when Fractint is booted may still see the image by downloading it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The high temperature of 86F 30C, accompanied by warm sun and gentle breezes, kept the dynamic duo at peace all day Saturday here at Fractal Central, and when old-timer cats are at peace, they really are peaceful. The day was nearly as uneventful for me. This morning is starting about the same. I expect the same results. Regardless of what happens, the next FOTD will appear in 24 hours. Until that moment of glory arrives, take care, and did you ever wonder what potential energy is made of? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Unexpected { ; time=0:01:39.19--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident center-mag=2.77947/19.1932/0.046875/1/147.5/-2.505\ 63458870090e-014 params=-1/1.01/1/-1/0/3600 float=y maxiter=1000 inside=0 periodicity=10 colors=000HusHysKvlNseQpZSmSVjLYgE_d7`b8`a9`_A`ZB`\ XC`WD`UE`TE`SF`QG`PH`NI`MJ`KK`JL`ILYJMWJMUJMSKMQKM\ NKMLKMJJMHLMFIMDLMFJPHMRJLTLNWNNYPO_RObTPdVOfXQiWP\ i_QmXQkURjRRiORgLSfISeFTcCSb9Ua7S`6WZ5YX5_W4bU4dT3\ gR2jP2lO1oM1qL5jN8dOBZPETQHNRKHSNBTQ5U_8YhAafCbeEb\ dGccIcaKc`Md_OdZQeXSeWUeVWfUYfTZfZdecjeipenvejpbgk\ _dfXaaUYXSVSPSNMPIJMDHLFGLGFKHEKIEKJDJKCJLBIMBINAI\ O9HP8HQ8GR7GS6GT6HV7HW8IX9IY9JZAJ`BKaBKbCLcDLdDMfE\ MgFNhFNZGOUHOOHOLDO39S77WA5_D3cG2bUNagfatziwrqykEa\ CF`PF_aFZnRKETHCUEAVB8W87PN8I`9JcPElbKecz3b1fO8gZE\ ghu5YJbfKdiKelKfonGwgu5_pMSkbzOHEiBC45GOU6rKOVzYF7\ YeVRfff5tZIsRVrnWFhfQWgdWM9SUPO`czlgkjkYhoVCoRNpNY\ qUapSVzQZxOavMdt4`ATh8IYKJaWKdggLFr`b1a_8cfEelelQ2\ sl_4eUIjPVnMNpNOpOOpRMnTLmVJlXIk_GiaFhcEgeCfhBdj9c\ l8bn7aoCdoHfpMipQkqVnq_pqcrpbkobenbZmbTlaNkaGjaAja\ 4AJpBOqCTqDYqEbrEfrFkrGps } 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 08-07-05 (Old Lace [7])
by Jim Muth 10 Jul '05

10 Jul '05

FOTD -- July 08, 2005 (Rating 7) Fractal visionaries and enthusiasts: The lacy effect of today's image inspired the name "Old Lace", though in this case no arsenic is involved. What is involved is a combination of negative Z and (1/Z), with C added. It is curious that this combination would produce any fractal at all. By itself, negative Z does not make a fractal, and (1/Z) makes a simple vertical row of small flat disks. (In the odd orientations of the Julibrot, (1/Z) produces some striking effects, but this is another story.) When negative Z and (1/Z) are combined however, some very interesting Mandelbrot things can happen. In today's image, I added (1/Z) to negative Z. The resulting parent fractal is a rough hyperbola with Mandelbrot buds along its edges, and a small valley at the apex. Today's scene lies in the vicinity of this valley. I rated the image at a 7. The coloring, which is about as smooth as can be achieved with only 256 colors to work with, adds to the impact, and raises the rating from a 6 to the 7. The render time of 26 minutes is admittedly slow. But relief may be found on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the completed image is posted, ready for download. The clouds remained thick all day Thursday here at Fractal Central, while the temperature reached a high of 81F 27C. Luckily, the rain held off until after dark, which gave the cats a pleasant afternoon in the yard. They became alert when two unwanted neighborhood stray cats wandered by, but the other cats moved on without coming within confrontation range. Today is starting with heavy rain however. Unless it ends in a hurry, the cats' day will be spoiled. My day will consist of the usual work and fractals, the next of which will appear in 24 hours. Until then, take care, and where do fractals come from? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Old_Lace { ; time=0:26:18.44--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.00697239427666942/+2.648103091012842\ 00/7219667/1/2.5/-2.90142841345708558e-006 params=-1/1/1/-1/0/525 float=y maxiter=2200 inside=0 logmap=569 periodicity=10 colors=00001P01N07M08L08R09P09S0AQ0AT0BR0BU0CS0CV0\ DT9DWAEUAEXBFVBFYCGWCGZDHXDH_EIYEI`FJZFJaGK_GLaHLa\ GMbGNbGNcGOcGOdGPdFPeFQeFQfFRfFRgFSgFShEThETiEUiEU\ jEVjEVkEWkDWlDXlDXmDYmDYnDZnDZoC_oC_pC`pC`qCaqCarC\ brBbsBcsBctBdtBduBeuBeuDfvFfvGgvIgvJivLhvNjvOjvQkv\ RkvTmvVmvWovYowZpw`pwbrwcrweswftwhtwjuwkvwmvwnwwpx\ wryxqxwpxwoxwnxwmxwlxvkxvjwviwvhwvgwufwuewudwucvub\ vtavt`vt_vtZvtYvtXvsWusVusUusTusSurRurQurPtrOtrNtq\ MtqLtqKtqJtqItqGurFusEusDvtCvtBvuAwu9wv8wv7xw6xw5x\ x3yz4xx4xw5wu5wt6vr6vq6uo7un7ul8tk8ti8sh9sf9reArcA\ rbAq`Bq_BpYCpXCoVCoUDoSDnREnPEmOEmMFlLFlJGlIGkGGkF\ HjDHjCIiAIi9Ii8IhAJhBKhCLhDMhENhFOhGPhHQgIRgJSgKTg\ LUgMVgOWgPXgQYfRZfS_fT`fUafVbfWcfXdfYeeZfe_geahebi\ ecjedkeelefmdgndhodipdjqdkrdlsemtgnuilvkjwmhxogyqe\ zsczubzz`zxZzyYzzWzzUzzTzzRzzPzzOzzMzzKzzKzzJzzJzz\ IzzIzzHzzHzzGzzGzzFzzRzzQ } 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 09-07-05 (A Purrfect Fractal [6])
by Jim Muth 09 Jul '05

09 Jul '05

FOTD -- July 09, 2005 (Rating 6) Fractal visionaries and enthusiasts: To produce today's image, I took yesterday's parent fractal and raised Z^1 to Z^1.01. The minute change completely altered the appearance of the fractal, changing it from a hyperbola to a distorted M-set. I commented about the change to Thomas, one of the fractal cats who was lying nearby. When he looked up and started purring, I had the name for today's image. I named it "A Purrfect Fractal". Though I had the name, I had not yet found the fractal. But a quick search along an interesting stretch of shoreline found a string of vaguely elephant-shaped things, and today's image turned up in one of the almost-trunks. I rendered the scene with the outside set to 'summ'. The effect is rather pleasing, though nothing to brag about. I could rate the image no higher than a 6, which is still a bit above average. Perhaps the greatest drawback is the images's slowness. Forty minutes is really a bit too much time to spend on such a routine image. But as always, the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> comes to the rescue. The already-rendered GIF image will soon be posted there, ready to be downloaded in less than a minute. The rain slacked off during the afternoon here at Fractal Central on Friday, but the ground was so wet that the fractal cats decided to remain on the porch. After voicing his opinion about the fractal, Thomas was quite satisfied. Tippy wondered what the fuss was about. Today is starting peaceful enough, with some sun and acceptable temperatures. It should be a good day for the cat duo. For me it looks like the day will be average. The next FOTD will probably appear in 24 hours. If not, it will appear in 48 hours. Until then, take care, and how can there be an end to anything if spacetime is eternal? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Purrfect_Fractal { ; time=0:40:11.67--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-1.20780413477277200/+12.05833924073030\ 000/147219.1/1/87.5/-4.84131272571186599e-009 params=-1/1.01/1/-1/0/525 float=y maxiter=15000 inside=0 outside=summ periodicity=10 colors=000TLmVJlXIk_GiaFhcEgeCfhBdj9cl8bn7aoCdoHfp\ MipQkqVnq_pqcrpbkobenbZmbTlaNkaGjaAja4AJpBOqCTqDYq\ EbrEfrFkrGpsHusHysKvlNseQpZSmSVjLYgE_d7`b8`a9`_A`Z\ B`XC`WD`UE`TE`SF`QG`PH`NI`MJ`KK`JL`ILYJMWJMUJMSKMQ\ KMNKMLKMJLMHLMFLMDLMFMPHMRJNTLNWNOYPO_RObTPdVPfXQi\ ZQk_QmXRkURjRRiORgLRfISeFScCSb9Sa7S`6VZ5YX5_W4bU4d\ T3gR2jP2lO1oM1qL5jN8dOBZPETQHNRKHSNBTQ5U_8YhAafCbe\ EbdGccIcaKc`Md_OdZQeXSeWUeVWfUYfTZfZdecjeipenvejpb\ gk_dfXaaUYXSVSPSNMPIJMDHLFGLGFKHEKIEKJDJKCJLBIMBIN\ AIO9HP8HQ8GR7GS6GT6HV7HW8IX9IY9JZAJ`BKaBKbCLcDLdDM\ fEMgFNhFNZGOUHOOHOLDO39S77WA5_D3cG2bUNagfatziwrqyk\ EaCF`PF_aFZnRKETHCUEAVB8W87PN8I`9JcPElbKecz3b1fO8g\ ZEghu5YJbfKdiKelKfonGwgu5_pMSkbzOHEiBC45GOU6rKOVzY\ F7YeVRfff5tZIsRVrnWFhfQWgdWM9SUPO`czlgkjkYhoVCoRNp\ NYqUapSVzQZxOavMdt4`ATh8IYKJaWKdggLFr`b1a_8cfEelel\ Q2sl_4eUIjPVnMNpNOpOOpRMn } 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 07-07-05 (Propeller [7])
by Jim Muth 07 Jul '05

07 Jul '05

FOTD -- July 07, 2005 (Rating 7) Fractal visionaries and enthusiasts: For some strange reason I saw an airplane (aeroplane) propeller in today's image, and immediately named it "Propeller". Yes, I know that the prop would never work. With its caterpillar-like decorations and different-sized blades, it is so unbalanced that it would quickly shake the plane apart. But I think that this is the first time I have had a propeller come to mind while meditating on a fractal. And not a bad fractal propeller it is. By itself, the fractal image rates a 6, but I have given it a bit more coloring effort than usual, which raises the rating to a notably above-average rating of a 7. Much of the image's effect is a result of rendering the scene with the outside set to 'real'. (The normal 'iter' setting produces a far less interesting image.) Other than having the outside set to 'real', and putting a bit of extra effort into the coloring, nothing out of the ordinary was done with the image. It is obvious that the parameters of the parent fractal are a play on the square root of 2. The parent fractal itself is a mis-proportioned Mandeloid with a field of disconnected chaotic material scattered to its southwest. Today's scene is located in a tiny bit of cast-off debris lying deep in the East Valley of the main Mandeloid. The image renders in 5 minutes on my 10-year-old machine. This render time will be closer to 2 minutes on the more modern units, at least on those that are capable of rendering Fractint parameter files. Those with Fractint-challenged computers can still see the image by downloading it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Sun and clouds, lower humidity, and a temperature of 86F 30C were just what the fractal cats needed to keep them happy on Wednesday. (Fractal cats demand happiness.) As a result, they spent over 6 hours enjoying hiding in the brush. They came inside without complaint as dusk fell, to enjoy their treat of tuna. Today is starting cloudy and much more humid. Flood warnings are in the forecast. I'm glad the repairs to the fractal basement drain have worked, and the basement no longer fills with backed-up water in heavy rain. But the cats had best do their Thursday exploring before the rain sets in. For me, it's the usual work-first-fractals-second kind of day coming up. The next FOTD will appear in 24 hours. Until then, take care, and if the earth was seeded with life from space around 3,800,000,000 years ago, how did the aliens who seeded the earth with life come into being in less time than the 10,000,000,000 years or so the universe had been in existence at the time of the seeding? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Propeller { ; time=0:05:26.36--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.58801560192262590/+0.77884435845915\ 350/5.040318e+007/1/135/3.88578058618804789e-016 params=1/1.4142/-1/-1.4142/-0.1/0 float=y inside=0 maxiter=1200 outside=real logmap=144 periodicity=10 colors=000DAXD8UD5RD1OD3LD3ID5FD5CDA9DC6DG3DJ09O07\ U05X03b00e00k00n00s00v03t0Ft0Pt0Zt3gt7rtBztFtsJrrN\ loQilUciX`g`VdcSagPZiNbkLfkJhkJkkHnlFqlFslDtlKvnPx\ nUznZznczphzprzpmzpczsUztKxvAtx0sz0pz0lz0iz0ez0cz0\ `z0Xz0Uz0Qz0Pz0Lz5JzDFzLDzQBzX7vc5rk1np0kv0gz0cz0`\ z0Xz0ez5lzBszJzzQzzVzzSzzQztPznNzgJzbHzVFzPDzH9z97\ z15z03z09z0Dz0Jz1Nz1Sv3Vp5`k5cc7iZ7lS9rNBtFBz9Dz1D\ z0Nz0Uz0`z0gz0nz0tz0zz0zz0zz0zi5zUFzVLxXQvXUsZZrZb\ n`gkblibpectccx`ezZezUlzPszJzzDzz7zz3zz5zz7zz9zzBz\ zDzzFzzHzzJzzLzzNzzPzvPxtVtv`rvgnvlkvsgvxcvz`vzZvz\ ezzkzzpztzzbzzezziztkkinUXrDLs09zP`znzzzzzzzztzzlz\ zezzXzzQzsJzlBzc3zX0vQ0rL0gHccDcc7cc3cc0ccxZztbzre\ znizklzgpzcsz`tzVpzSlzPizLezFbzBZz7Uz3Qz0Nz0Jz0Fz0\ Bz0Jz9QzJXzUbzbizlpzvtzzzzzzzzzzzzzzzzzzzzzzzztzzn\ zzgzz`zzUzzNzzFxz7vzDtzHszLrzQpzUpzXnz`lzekziizliz\ pezrczrbzr`zr`zrPzsDFeDDa } 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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Request for f'egatre.map, f'egatwo.map
by nick.grasso＠nasrecruitment.com 07 Jul '05

07 Jul '05

I seem to have lost the post, but if the person who requested the above 2 maps still wants them, I have them. You can email me. Nick

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Old favourite .maps
by john wilson 06 Jul '05

06 Jul '05

Hi - Years ago, I lost all my Fractint .maps in a computer crash. I now have about 2,000 (backed up) but could not find some old favourites in any collection. I reconstructed two .map files from old images -"german.map" and "avia.map.". Two others I remember but could not reconstruct (no examples)are "f'egatre.map" and "f'egatwo.map." Does anyone know which collection(s) included any of these four .map files and if they can still be downloaded? Thanks! John -- _______________________________________________ NEW! Lycos Dating Search. The only place to search multiple dating sites at once. http://datingsearch.lycos.com

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FOTD 06-07-05 (Fake True-Color [6])
by Jim Muth 06 Jul '05

06 Jul '05

FOTD -- July 06, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's image is named "Fake True-Color". I gave it this name because the elements are so finely divided and so random that the effect almost mimics a true-color image with its millions of colors. The rating of a 6 is once again a bit less than what I hoped to achieve. But fractals are like that. A fractalist cannot always be sure of what will lie at the end of the day's search. The parent fractal of today's image is surprisingly simple -- a flat green disk with a spot of chaotic debris off to the east. The image is located where least expected -- in this spot of debris, on a poorly marked filament leading to a Mandelbrot bud. With a running time of 1-1/4 hours on my fractal machine, the parameter file is annoyingly slow. But I have sent the completed image on ahead to Paul, who will post it on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> from where it may be quickly and conveniently downloaded. Very warm and humid weather on Tuesday kept the dynamic duo lazy. Their greatest activity came at 11pm, when a thunder- shower came up and sent them scurrying into the large closet for safety. Today is starting a bit less humid but still warm. If it doesn't thunder, the duo will have a good day. For me it will be work and fractals, but what the heck, it's a life. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fake_True-Color { ; time=1:14:47.98--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.17753471938786730/+0.036318672109593\ 02/3.437465e+010/1/112.5/0.00030132609311886438 params=5/0.1/1.4/-1.5/-2.1/0 float=y maxiter=25000 inside=0 logmap=1004 periodicity=10 colors=0008hX7f_6ec5cf4biB`lHZoOYqUWt`UwfTyhRsjQnl\ PhnOcpNYqMTpNRoOPoONnPLnPJmQHmQFlRDlRCjPBhOAfM9dL8\ bJ7`I6_H6YF5WE4UC3SB2Q91O80N70P92RB4SD6UF8VHAXJCYL\ E_MG`OIbQKcSMeUOfWQhYSiZUOkQ2wMVYqZizYjvXkrWlnVljU\ mfTnbSoZRoWQpSPqOOrKNrGMsCLt8Kt5Ir8HqBGpEFoHEnKDmN\ ClQBkTAjW9iZ8ha7gd6fg5ej4dm3cp7dqAerDfrHgsKhtNitQj\ uUkvXlv_mwcnxfoxipylpynmxokwphvrfuscutatvZswXrxUqy\ SqnPhgN`fKTeILdGDcHCbHCaIC`IB_JBZJBYKBZKA_LAaLAcMA\ eM9gN9iN9kN9mDWo3ho9hoEhoJhoOhoTgoYfmXekWdiVcgUZeY\ _c`_a`____Y`_YY_YW`XT`WQ`VO`VM`TK`RI`ZFW_ER`JMaOHc\ TCeX8ccCZiFlpIdwL_r4Nm6Ah7Ac9AZABUBCRDCNEDKFEHFEDE\ FAOG7WG4eF8mFBeFE`FHWFKSENOEQPETSEWVEZVH_UK_TN`SQ`\ RSaQVaPYbO`bNccMecM1Hj1Ig1Je1Kb1K`1LZ1MW1NU1NS3MR5\ MQ7MQ9MPAMOCMOELNGPNHUMJZLLcLhhKmmKrrFwwAzz5zz0zzS\ zzszzizz`zzSzzJzzAzzBzzCzzDzzEzzFzzGzzGzzHzzHzzHzz\ HzzHzzHzzHzzFzzJzzMzzQzzT } 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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05-07-05 (Barbed Wire Fence [6])
by Jim Muth 05 Jul '05

05 Jul '05

FOTD -- July 05, 2005 (Rating 6) Fractal visionaries and enthusiasts: Let the banners wave and the trumpets blare! I'm back! Only my deep humility prevents me from spreading the great news to the entire world. After nearly a week of FOTD deprivation, we once again have a FOTD. Today's image has an ominous feeling. With all its sharp edges and dagger-like points, it would not look out of place on the cover of a paperback horror novel. Actually, it's a harmless fractal, and the ominous appearance is entirely of my own creation, a result of setting the first 6 color registers to total black. To change the image into a non-threatening one, simply rotate the color palette. I named the image "Barbed Wire Fence". It does have a kind of fence-like appearance, but actually, the image is the result of subtracting 1.02 parts of Z^(-3) from Z^(-2) before adding (1/C). The rating of a barely adequate 6 might indicate that the week with no fractals has left me a bit rusty. No problem. I will be back at full speed within a day. Although the Fractint program has a couple dozen functions that might be applied to C, I use only the 'ident' and 'recip' functions when I work with the MandelbrotMix4 formula. The other functions do create some curiously shaped parent fractals, which are often periodic, but down deep, where I find most of my images, the elements of these fractals are the same as those in the fractals created with the 'ident' and 'recip' functions. The render time of 2 minutes is brief enough to make rendering today's image from the included parameter file a pleasure. Well, almost a pleasure. And it is also a pleasure to visit the long-maintained FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and download the completed GIF image from there. The fractal weather was uneventful over the long holiday. The fractal cats enjoyed the normal conditions to the utmost of their ability, which does not require much effort from cats who are 15 years old. As for me, I finished the work, took it easy and even managed to see a fireworks display, which I undoubtedly would have enjoyed more if I had been 40 years younger. Today is again starting uneventfully. The work is minimal; hopefully I can get the fractals maximal. The next glorious fractal will appear in 24 hours. Until then, take care, and when I last checked, Earth was the only planet in the universe known to harbor Earth-style life. (The real question is how much other- style life is out there.) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Barbed_Wire_Fence { ; time=0:02:18.85--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+2.61889569074713700/+0.000085722271613\ 62/4790189/1/-10/-1.09451677256233726e-007 params=1/-2/-1.02/-3/0/0 float=y maxiter=500 inside=0 logmap=38 periodicity=10 colors=000000000000000000ktxOQfSXiOTfLPdIMbFI`CEY9\ BW67U33Ss83l76f69`5BV4EO3GI2JC1L60OU6PP5QL4QH3QC2Q\ 81Q40QgmCbmEZmFUmHzmIzmJzmLzmMzmO42PU0SUXRKMRABQ7F\ Z6DY6CX5BX5AW49V48V37U36T25T24S13R12R01Qsihg_dXR`M\ IXB9TOL4KI5GF6BB7788359AJBHWDNhEKdDI`DGYCEUCCRBANB\ 8KB7LI7MO7MU6N`6Nf6Ol6Or8Po9PlAQiBQfCQcDR`FRYGSVHS\ SISPJTMKTJLTGI_RFeaCll9rvJkTTd0NmVHvxFolDi`BbP9XDM\ UCYRBjOAvLAuNFtPJsROrTSqVWpX`oZdn_hoVfpQeqLcrGbsB`\ t7_USk3lvHgkUcagZStVIpSMlQPhOTdLW`J_YHbTDWPAQL7JH4\ DD3FA2IKKKScgNbiIakHefGhbGlYFoUEsPEvLBtX8rh5qtBmsH\ jsMgrSdrXaqbZqgWqIznOuiTqdYm_bhVgdQl`MeZO_XQTVSNTU\ GRWAPYdnjageZa`WWWUQRRKMOEHM8CLFGKMKJTOJ_SIfWHm_Hs\ cEliCeoGdpKdqNcrRcsVctYbuabvdbwhcwmdwqewsZpuTjvNcx\ HYyBSyLWyV_ydcyngywjtshoogjkeegdaccX_aSW`NSZJOYEKX\ 9GV4CU08T0DW0HZ0La0Qd0Ug0Yj0am3bl5bk7bj9biBbhDbgFb\ fHbe33R78S56R45R34R22Q11Q } 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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Deep Sea Scallop
by Raymond Filiatreault 04 Jul '05

04 Jul '05

One thing I have noticed when Jim uses his popular MandelbrotMix4a formula is his use of almost exclusively C or 1/C as the constant. Some time ago I was experimenting with that formula using other functions of C for the constant. Using tan(C), I stumbled onto this fractal which gave me the impression of looking through a rusty port hole of a sunken ship at some scallops in clear blue water. I'm sure Jim would certainly have found a better color palette to improve its rating but I like it as is. I wish Jim a nice vacation. Raymond Deep Sea Scallop { ; Version 2002 Patchlevel 4 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4a function=tan center-mag=-0.74738798189947350/+0.00010181315587022/3112865 params=1/2/1/-2/0/0 float=y maxiter=1000 inside=0 sound=off colors=000BKdCMhDOkDPnEQqERsFSuFSvFTwFTwFTwFSvFSuERs<2>DNkCMhBKdAJ`<3>6A\ I58D467455<3>Q7OV8TZ8Xc9`g9dj9gnAjpAlsAotApvAqwArwArwArvAquApsAopAln9jk9\ g<2>_8XV7TQ7OL6KG6F55AA55FA6<3>WQ5_U5bY5<2>ke5mh5oi5pk5rl5rm5rm5rm5rl5pk\ 5oj5mh5<3>bY5_V5WR5<2>JG5FC5A75595IA6<2>YE7bF8fG8jH9nI9qI9tJ9<3>yKAxKAxK\ AvKAtJA<2>lH9iG8eF8<3>NA7I96D76765<3>DBKFDOGERHFUIGX<2>LIcLJeMJfMKgNKhNK\ h<2>MJfLJeKIcKHa<2>GEUEDRDCNBAJ99G88C444<2>GIKKNPORT<2>Ybe`eibhlekofmqho\ sipu<2>jqvjqvipuhosfmqekobhl`eiYbeVZa<3>GIKCEF899444<3>ND9SFAWHB_JCbLDeN\ DhOEkPEmQFoRFpRFpSGqSGpSFpRFoRFmQEkPEhODeNDbLC_JB<3>JB7E969744447C6AH8CM\ 9<2>JZFMbGNfIPiJRkKSnLTpLUqMUrMUrMUrMUqM<2>RlLQjKPgJ<3>ITEGPDEKCCGAAB946\ 7<2>7DN8FS9HWAJ` } MandelbrotMix4a {; 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 }

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Re: [Fractint] Triterions revisited
by Russell Walsmith 03 Jul '05

03 Jul '05

----- Original Message ----- From: "Russell Walsmith" <russw(a)lycos.com> To: "Fractint and General Fractals Discussion" <fractint(a)mailman.xmission.com> Subject: Re: [Fractint] Triterions revisited Date: Sat, 02 Jul 2005 15:14:38 -0500 I wrote > The basic idea is that a cyclic group of odd order j has an > identity element (I) and j-1 elements (e) of degree j (i.e., > e^j=I). If each element is also given a negative sign, then we have > in toto a group C2j. Thus, opposing those elements of degree j > across the origin from elements of degree 2j is the same as ruling > each axis with positive and negative numbers. But you don't > necessarily have to do that; e.g., here is C6 with degree 6 > elements on the same axis: but I should have said that a cyclic group of PRIME order j... For odd j in general though, and cyclic groups of order 2j, it does hold that elements of degree k can be juxtaposed across the origin from elements of degree 2k. This seems to be a sufficient condition for reducing a group table to ordered j-tuples that are then easily adapted to Fractitnt frms. Of course many groups other than the cyclics exist, and the larger the group, often the more ways that its elements may be juxtaposed on a given axis. Different arrangements typically have a profound effect on the shape of the fractal object that a formula generates. Clearly, there is depth to this subject. It will be interesting to see to what extent it can be comprehensively and systematically investigated, and what sort of general understanding may be attained.

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Gallery
by Andrew Coppin 03 Jul '05

03 Jul '05

Greetings. Owing to the [tiny] possibility that somebody here might remember me / care about this anouncement... a have a gallery on Zazzle: http://tinyurl.com/cvewr For those who don't know about Zazzle... basically you can pay them to print electronic images on paper. But you can also have them put your images on their website, where anybody who happens to browse past can order a paper print - in which case, Zazzle gives you 10% of the purchase price! :-D Theoretically, a nice way to create income. Reality check: uh... there are *trillions* of galleries up there, with more being added by the second. So yours had *better* stand out if you realistically expect to make a single sale... Anyway, I'm not expecting anybody to *buy* any of my images... but I thought you might enjoy looking at them :-) They're on Zazzle because it doesn't cost me money to put them there, and there is a theoretical possibility that some day somebody _might_ buy one or two. (And, frankly, *I* might order some T-shirts from them too. Heh!) Anyway, Zazzle deliberately shows visitors reduced-quality JPEG images (so people don't "steal" them), but even so, hopefully you'll enjoy the show. (I'm especially proud of the two "tatto" images, the glorious "rainbow spiral" ones, and the various "jellyfish" images.) All the fractal images were generated with FractInt. (running under Windows XP - without the slightest problems of any kind; I have *never* had trouble running FractInt on any machine, ever, regardless of OS - and I'm frankly puzzled by all the people who have...) The idea is simple; it seems that I can do disk video at 2048 x ???? and still use passes=g. (Any higher and it resets to passes=1, which is too slow.) So I have FractInt make an 8x8 MIG, and then convert to simple GIF. I then shrink the image to half that resolution using a Lancoz resample filter - and presto, 8192x6144 pixels with 2x2 oversampling antialias. 8-) Takes *forever* to upload tho... And, in fact, it takes nearly as long to convert the MIG to a plain GIF as it does to render the thing in the first place! :-S Does the converter program not use all available RAM? Anyone know of a tool that does? Unfortunately, the program I use to do the resize/resample gets rather confused by a MIG file... :-( Most of the images are just straight Mandelbrot zooms - mostly using colour maps other people have created. A few of the images use my various cubic Mandelbrot formula. (The "shadow" images in particular.) That's not just z^3 + c, but z^3 - 3a^2z + b, resulting in a 4D Mandelbrot generated from 2 seperate critical points. Currently, I have to turn off periodicy checking for those to work - can you spell SLOW? Anyway, I have loads more images to put up - once my computers finish chugging through all the lengthy computations to redraw them at an appropriate size. I also *know* I have a CD _somewhere_ with a whole chunk more stuff... but can I find it now? The 3D stuff is done with POV-Ray. (Not that there is much of it!) I'm also planning to add some "flame" images. (Flame = a particular non-linear IFS that some guy invented.) Those are created using a program called Apophysis. (Great images, but... rather buggy. And the "estimated time" is hopeless!) Sadly, even my shiny new AMD Athlon64 3500+ is struggling to render flame images at a high enough resolution. :-( It just takes *a lot* of CPU power to compute that many trillion iterations... Andrew. PS. I wonder if we can persuade Silvie Gallet to put some stuff on Zazzle? I'd pay real money for a high res print from *her* collection...

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Fractal web site
by David Dollevoet 03 Jul '05

03 Jul '05

Greetings, My fractal web page is updated for 2005-07. http://www.djd-fractal.com David Dollevoet

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Re: Web Host
by JackOfTradeZ 02 Jul '05

02 Jul '05

""To oversimplifiy the situation, classroom Earth is pass/fail: if you die, you repeat the course. To ascend is to demonstrate a mastery of the material realm that makes reincarnation an option, rather than an obligation. Of course this idea may be pure nonsense... but since we all know what we've got coming according to the conventional belief system, what have we to lose by contemplating that this alternative, a fundamental premise of many ancient mystical traditions, may be true?"" Sounds like Hindu or something to me - like, if you fail try and come back and try again until you get it right. Then ascend to the next level of existence. Sounds way cool to me! You looking for a web host Russ (or NY1 else)? Check out: 1and1.com They are advertising in all the computer 'zines. It is my host for "fractal-animation.net" and they are really cool. Like $29 for 6 months and you get EVERYTHING. Check it out. JoTz

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Re: [Fractint] Triterions revisited
by Russell Walsmith 02 Jul '05

02 Jul '05

----- Original Message ----- From: bluemac <burningb(a)burningbridges.com> To: "Fractint and General Fractals Discussion" <fractint(a)mailman.xmission.com> Subject: Re: [Fractint] Triterions revisited Date: Thu, 30 Jun 2005 19:47:14 -0400 Hiram, Thank you for your interest in and enthusiasm for the 'triternions' concept. The search for these began some years ago when I perceived a "gap" between the ordered pairs called complex numbers and the systems of ordered 4-tuples called quaternions and hypercomplex numbers. I've also played around with 3D vectors, and perhaps these will prove useful for fractal generation as well, but I presently find the properties of mathematical groups to be most fascinating. My efforts so far are clearly just a bare beginning, and it seems certain that a lot of room remains for discovery and development here. It will be interesting to see where it goes. Other comments are inter-dispersed below... ----- Original Message ----- From: bluemac <burningb(a)burningbridges.com> To: "Fractint and General Fractals Discussion" <fractint(a)mailman.xmission.com> Subject: Re: [Fractint] Triterions revisited Date: Thu, 30 Jun 2005 19:47:14 -0400 > > Russell, > > Thank you for presenting the triternion M-set,J-set, concept here. This idea > really spawns a lot of speculation on my part, eg. how far can the approach > be generalized and still get recognizable sets, etc. It took me a little > while to understand precisely what you were doing, so I'm glad you included > the earlier "C6 group" frm-- your idea is nothing short of revolutionary. > Kudos to you for sharing it with us. > > Initially, I saw that you were using the C6 group members as a basis for the > 6-space in which you were doing the z->z^2+C iteration, but I didn't grasp > why you were doing the particular mapping: > > on 6/26/05 10:06 PM, Russell Walsmith at russw(a)lycos.com wrote: > > x1=a1+x, x2=a2-x > > y1=b1+y, y2=b2-y > > v1=c1+v, v2=c2-v OK, therein lies a tale, and there are about a hundred ways to tell it. I'll try to present an outline here, and if you are still interested I can send you a paper, written back when, that really gets into the minutiae. First, for convenience, let's set a=1, b=-1, c=i and d=-i. Then the complex numbers are arrayed in the table below. |a b c d ________ a|a b c d b|b a d c c|c d b a d|d c a b In examining this table, we see that there are four ways to generate each element; e.g., a=a^2=b^2=c*d=d*c. So it occurred to me to incorporate this table into a formula like so: C4 { x=real(pixel), y=imag(pixel) a=b=c=d=0: x1=a^2+b^2+2*c*d x2=c^2+d^2+2*a*b y1=2*a*c+2*b*d y1=2*a*d+2*b*c a=x1+x, b=x2-x, c=y1+y, d=y2-y z=(a-b)^2+(c-d)^2 z < 1000 } It worked! This gives the M-set, and among the many other experiments that this inspired, I thought to put Klein's four-group into a formula as well. The group table for "K4" is: |a b c d ________ a|a b c d b|b a d c c|c d a b d|d c b a Hence, K4 { x=real(pixel), y=imag(pixel) a=b=c=d=0: x1=a^2+b^2+2*c*d x2=2*a*b+2*c*d y1=2*a*c+2*b*d y1=2*a*d+2*b*c a=x1+x, b=x2-x, c=y1+y, d=y2-y z=(a-b)^2+(c-d)^2 z < 1000 } The K4 fractal is just a square, but it's proof of concept so far. In an effort to eliminate the obvious redundancy in C4, I tried this revised version: C4r { x=real(pixel), y=imag(pixel) a=b=0: x1=a^2-b^2 y1=2*a*b a=x1+x, b=y1+x z=a^2+b^2 z < 1000 } The M-set again. There are, moreover, other interesting things about C4r; e.g., the variant x1=a^2+b^2 gives the K4 fractal, and b=x1+x, a=y1+x gives an unique object that is a sort of complement to the M-set (the C-set?). The C-set is also given (in reverse orientation) by C-set { z=0, c=pixel: z=conj(z^2)+c z < 1000 } > After contemplating your reduction of the original frm to the "Triternions" > frm, though, it became clear to me that you did this particular mapping > because those particular linear combinations of the C6 basis form an order 3 > subspace which has closure under the "z^2+C" operation. That's just > beautiful. Several questions evolve, upon which I hope you will enlighten > me: (1) Can the method be extended to other groups (D3, for instance), Yes, the D3 table too can be fashioned into a formula, but since it's non-abelian, it seems unlikely it will reduce. D3 { x=real(pixel), y=imag(pixel), v=p1 x1=x2=y1=y2=v1=v2=0: a1 = x1^2+x2^2+y1^2+y2^2+2*v1*v2 a2 = 2*x1*x2+y1*v2+y2*v1+v1*y1+v2*y2 b1 = 2*x1*y1+x2*v1+y2*v2+v1*y2+v2*x2 b2 = 2*x1*y2+x2*v2+y1*v1+v1*x2+v2*y1 c1 = v2^2+2*x1*v1+x2*y1+y1*y2+y2*x2 c2 = v1^2+2*x1*v2+x2*y2+y1*x2+y2*y1 x1=a1+x, x2=a2-x y1=b1+y, y2=b2-y v1=c1+v, v2=c2-v z = (x1-x2)^2 + (y1-y2)^2 + (v1-v2)^2 z < 1000 } > possibly of order not equal to 6, or to generalized semigroups; Any cyclic group of order C2j, where j is odd, seems reducible; e.g., C10 { c1=real(pixel), c2=imag(pixel) c3=p1, c4=p2, c5=p3 u=v=w=x=y=0: a=u^2+2*v*y+2*w*x b=x^2+2*u*v+2*w*y c=v^2+2*u*w+2*x*y d=y^2+2*u*x+2*v*w e=w^2+2*u*y+2*v*x u=a+c1, v=b+c2, w=c+c3 x=d+c4, y=e+c5 z=u^2+v^2+w^2+x^2+y^2 z < 1000 } The basic idea is that a cyclic group of odd order j has an identity element (I) and j-1 elements (e) of degree j (i.e., e^j=I). If each element is also given a negative sign, then we have in toto a group C2j. Thus, opposing those elements of degree j across the origin from elements of degree 2j is the same as ruling each axis with positive and negative numbers. But you don't necessarily have to do that; e.g., here is C6 with degree 6 elements on the same axis: C6v {;degree 6 elements are opposed on same axis x=real(pixel), y=imag(pixel), v=p1 x1=x2=y1=y2=v1=v2=0: a1 = x1^2+x2^2+2*y1*y2+2*v1*v2 a2 = 2*x1*x2+2*y1*v2+2*y2*v1 b1 = 2*x1*y1+2*x2*v1+ y2^2+ v2^2 b2 = 2*x1*y2+2*x2*v2+ y1^2+ v1^2 c1 = 2*x1*v1+2*x2*y1+2*y2*v2 c2 = 2*x1*v2+2*x2*y2+2*y1*v1 x1=a1+x, x2=a2-x y1=b1+y, y2=b2-y v1=c1+v, v2=c2-v z = (x1-x2)^2 + (y1-y2)^2 + (v1-v2)^2 z < 1000 } > (2) Are > there other reductions than that particular set which maintain closure, and > is there a systematic way to find them; See above for C2j; but even-order C-groups and the non-cyclics are another matter... > (3) Is there a name for the target object in the 3-space Not yet, that I know of, but I sometimes call it the T-Man or the T-set. > (It isn't a subgroup, since the multiplication table > in the reduced frm: > > a = x^2+2*y*v > > b = v^2+2*x*y > > c = y^2+2*x*v > doesn't have an identity element, but looks very similar to that of a cyclic > group), and is there some algebra that lets us generate these objects from > the parent group? Actually there is an identity element, but it gets disguised in this context. Think of a,b,c above as a special case of multiplying ordered triplets with the rule that (a,b,c)X(x,y,z) = (ax+bz+cy,ay+bx+cz,az+cx+by), so the identity element would be (1,0,0). > What I especially like about your concept is the following. In the past > when we have attempted to look at different views of order>3 > escapetime-generated fractal objects, we have always relied upon the "slice" > method in some form-- 2D or 3D linear slices of the object embedded in the > n-space. But this is a departure from that method; rather, you are looking > at self consistent subobjects of the parent object which have order 2 or 3, > something like an eigenvalue view. This is a new way of looking at these > objects, and I wonder if it can lead to better understanding them. > > In particular, what are the rules for domain spaces and iteration operators > that allow M-sets to exist at all? On the complex plane a little while ago > Ray Filiatreault showed that other iteration functions than polynomials > create M-sets topologically conformable to the z^2+C M-set, and it turns out > that all that is required for this is a fairly broad set of conditions to be > true of the surface limned by the iteration function. So what about this in > the order 6 space? The same topological conditions can't be true, can they? > > > > PPS: If anyone has a clue as to how the TMan may be rendered in 3D, > > lemme know... > > > Well, when JoTz does this I hope he will illustate the method of doing so > and not just render an image with arcane methods. I do know a boilerplate > method of rendering 3D objects in fractint, as you probably do since you > suggested it earlier concerning the variation of {x,y,v}, but it is very > inefficient. Briefly, (1) choose a directed vector (angle,angle) =D in > polar coords( this allows all possible directions to be hypothetically > viewed), (2) form arbitrary unit vectors E,F perpindicular to it, (3) go out > a user chosen distance on D, establish an origin=O (4) iterate over the > screen with O at the center and coords P=O+linear comb(E,F), (5) within each > pixel iteration do an inner loop proceeding incrementally toward the origin > adding small deltas in direction -D each time: do the iteration- if it fails > to converge for every pixel in the range the pixel iteration bails out; as > soon as it converges for any point the pixel is established as an inside > point-- the number of inner loop iterations is the relative distance and can > be communicated to the fractint rendering routine as a z-value = color in > the right rendering method. Unforturately this may entail ca. one billion > points= a lot of calculation time. Perhaps bifurcation of the segment > traversed in the inner loop could be used to check many fewer points. More > satisfactorily, JoTz will show us a better way to do this, for the general > case. There are several definitions of 3D rendering in the Fractint context, and I think that what Jotz refers to is the technique where a point on a 2D fractal takes a Z-axis value according to a criterion such as escape time. It would be most interesting to see if the method that you've outlined above could provide us another 'slant' on the T-set. Ciao, Russell

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Triterions revisited
by Russell Walsmith 30 Jun '05

30 Jun '05

Well now, I guess it's going on toward three years since I first showed up on this list with the "triternion" concept. The basic idea was that the cyclical group C6 could be configured as a number system based on ordered triplets and then used to generate 3D fractals. I was sure it would work, although I had nothing to show for it at the time, save for a vague formula that generated a nondescript, amorphous blob. Luckily though, Morgan Owens had also contemplated this idea, and he quickly published a formula that generated a fractal even uglier, but yet more complicated, than mine. Then Jim Muth got to tweaking the formulas, creating variants that at last produced some worthwhile images. Lee Skinner took it from there, and came up with a remarkable series of fractals based on Muth's variations, and Jack O'Tradez was inspired by that to produce some compelling animations. There were others, as I recall, who threw in on this; e.g., Gerald K. Dobiasovsky, for one, had some helpful comments and clarifications... The upshot is that there was a wave of creative energy flowing through the list that I was able to surf ashore. That is, I managed to develop a template whereby any finite group, once set up into its table form, could be imported directly into a .frm file. The C6 group appears in the example immediately below: For p1=0 and floating point on, it gives a view of an object I call the TMan, as p1 varies from about -0.6 to 0.3. C6 group{ x=real(pixel), y=imag(pixel), v=p1 x1=x2=y1=y2=v1=v2=0: a1 = x1^2+ x2^2+2*y1*v1+2*y2*v2 a2 = 2*x1*x2+2*y1*v2+2*y2*v1 b1 = 2*x1*y1+2*x2*y2+v1^2+v2^2 b2 = 2*x1*y2+2*x2*y1+2*v1*v2 c1 = 2*x1*v1+2*x2*v2+y1^2+y2^2 c2 = 2*x1*v2+2*x2*v1+2*y1*y2 x1=a1+x, x2=a2-x y1=b1+y, y2=b2-y v1=c1+v, v2=c2-v z = (x1-x2)^2 + (y1-y2)^2+ (v1-v2)^2 z < 1000 } (Where y=real(pixel), v=imag(pixel), x=p1 will change the view to another axis.) This was all well and good, even if it was not at all the form that I had expected the formula to take. Moreover, no one could figure out to view this object in 3D, and so after a while, interest waned. I played around with it intermittently, and found some neat variants, but just the other night the light bulb came on again. I.e., I finally saw that while the multiplication table I had tried to construct originally presents complications, to square a triternion is a simple, special case. Thus I was able to reconfigure the formula to Triternions{ c1=real(pixel), c2=imag(pixel), c3=p1 x=y=v=0: a = x^2+2*y*v b = v^2+2*x*y c = y^2+2*x*v x=a+c1, y=b+c2, v=c+c3 z=x^2+y^2+v^2 z < 1000 } As far as I have determined, save for differences in scale, these two formulas give identical results. After more investigating, I noticed that the orbits screen gives only horizontal lines. Rather odd... anyway, I tried the fmod options, inside and out, and the results are (IMO) spectacular. So I'm sending along some par files that maybe list members will enjoy. PS: Thanks to Tim Wegner for directing me to this list in the first place, and Jonathon Osuch and others who maintian Fractint. PPS: If anyone has a clue as to how the TMan may be rendered in 3D, lemme know... Ciao, Russell --------------------------Start par files-------------------------- AsgardsGate { ; Version 2002 Patchlevel 5 ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=dcls10.frm formulaname=Triternions center-mag=-0.250474/-0.242195/3.917342/1/-135.000000000000455/-\ 6.23001650268406593e-013 params=0.5/0/10000/0 float=y inside=fmod proximity=0.25 outside=fmod colors=000JC8I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8\ xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x\ 7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0\ Xq0`v0d<2>y0fz0gy0h<3>u1m600enG000t1ns1or2q<2>v2u<3>c5dZ6`U6X<2>\ F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvi\ nvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<3>SCCXCAaB\ 9<3>uA2zA0xA0<12>SA1QA1NA1<3>D92<3>NN7PQ8SU9<3>`fDhrI<3>UnXRm_Nl\ cJkgFfpAaz<3>PJoSFlWAi_5fc0ce7_jFRoNIzb0<2>zz1zzC<2>zzz<3>jqdfo_\ blU<3>Mb8<6>JF8 } TheGrotto { ; Version 2002 Patchlevel 5 ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=dcls10.frm formulaname=Triternions center-mag=-0.0578437/-0.374326/11.30119/1/-134.999999999911097/\ -6.50101500410116273e-011 params=0.6/0/10000/0 float=y maxiter=3000 inside=0 outside=fmod colors=000XkG<3>hoAkp8nq6<2>wt1<6>Zf8Vd9SbA<3>DVF<4>CPCCNBCMA<2>\ BI9BH8BH8<3>AE79D6DE6<3>UI9YJAaLBeMCgODjQF<9>tgGuiGvjG<2>ypGzrFz\ rK<3>yufxukxvqwww<3>rhh`F0<2>ZD0YD0WC0<8>N50M40L30<2>I10I10J20<1\ 3>TA2TA2UB2UB2VC2<3>YE3<3>Q82O61M41<3>Q71R81S91fM5<3>iO5jP5kQ6<7\ >YE4WD3UB3S92Q82<3>I10931A00<3>VK0_P0dU0<3>zm0<3>zb0z_0zX0zU0<3>\ `F0UC0O80H40<2>A4773A73C<3>56K47M48O39Q2AS<8>9QaASbATc<3>E`hFbiG\ di<3>JklKmmJkj<8>BSOAQM9OJ<2>6GB5E86G9<9>EWHFYIGZJ<2>JdMKfNLhM<2\ >UkH } Bifrost { ; Version 2002 Patchlevel 5 ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=dcls10.frm formulaname=Triternions center-mag=0.201211/-0.361509/6.91239/1/124.999999999998693/5.85\ 607951020250539e-013 params=0/0/10000/0 float=y maxiter=1500 inside=fmod outside=fmod colors=000zY4<3>zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>\ f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy\ 0h<3>u1m600enG000t1ns1or2q<2>v2u<3>c5dZ6`U6X<2>F9LAAG7FO4KW0Qc<3\ >5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvinvlqvotvsww<2>zzz\ <3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<3>SCCXCAaB9<3>uA2zA0xA0<12>\ SA1QA1NA1<3>D92<3>NN7PQ8SU9<3>`fDhrI<3>UnXRm_NlcJkgFfpAaz<3>PJoS\ FlWAi_5fc0ce7_jFRoNIzb0<2>zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM\ 8KJ8<2>I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5\ zz4zz3<7>z`4 } Kawasaki2010 { ; Version 2002 Patchlevel 5 ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=dcls10.frm formulaname=Triternions center-mag=-0.545464/0.141325/1.384055/1/-135.000000000000853/-3\ .94004273651660242e-013 params=0.5/0/10000/0 float=y inside=fmod proximity=0.11 outside=fmod colors=000z`4<3>zP5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_\ <3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz\ 0gy0h<3>u1m600enG000t1ns1or2q<2>v2u<3>c5dZ6`U6X<2>F9LAAG7FO4KW0Q\ c<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvinvlqvotvsww<2>\ zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<3>SCCXCAaB9<3>uA2zA0xA0<\ 12>SA1QA1NA1<3>D92<3>NN7PQ8SU9<3>`fDhrI<3>UnXRm_NlcJkgFfpAaz<3>P\ JoSFlWAi_5fc0ce7_jFRoNIzb0<2>zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ\ 8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7\ zz5zz4zz3<6>zc4 } RainbowBridge { ; Version 2002 Patchlevel 5 ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=dcls10.frm formulaname=Triternions center-mag=-0.155732/-0.670383/32.88762/1/152.499999999999176/5.\ 34718103128994926e-013 params=0/0/10000/0 float=y maxiter=1500 inside=fmod outside=fmod colors=000000t1ns1or2q<2>v2u<3>c5dZ6`U6X<2>F9LAAG7FO4KW0Qc<3>5Xc\ 6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvinvlqvotvsww<2>zzz<3>r\ wzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<3>SCCXCAaB9<3>uA2zA0xA0<12>SA1Q\ A1NA1<3>D92<3>NN7PQ8SU9<3>`fDhrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWA\ i_5fc0ce7_jFRoNIzb0<2>zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8\ <2>I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4z\ z3<4>zj4zg4zc4<3>zS5zP5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6\ Yz5_<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>\ y0fz0gy0h<3>u1m600enG } Souvenir { ; Version 2002 Patchlevel 5 ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=dcls10.frm formulaname=Triternions center-mag=-0.99377796438866060/+0.27291225592671910/124026.5/1/\ -137.499999998789548/9.3960968033934833e-009 params=0.4/0/10000/0 float=y maxiter=10000 inside=0 outside=fmod colors=000dqM<3>Rm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce7_<3>zb0<2>zz1\ zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7a\ I8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP5zL\ 6zI6zE6wE6tD6<9>w9Ox8Px8Rx7Sx7Uy6Wy6Yz5_<27>y1gy1gy1gy1hy1hy1hx0\ i<3>t1ns1or2q<2>v2u<3>c5eZ6`U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa\ 7c_7eY<3>FcgHciJbl<3>S_v<3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<\ 3>Gch8_d8Xa<3>8JP8FL8CI<3>SCCXCAaB9<3>uA2zA0xA0<12>SA1QA1NA1<3>D\ 92<5>SU9UXAW`BYcC`gE<2>hrI } BurningMan { ; Version 2002 Patchlevel 5 ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=Triternions.frm formulaname=9aaa passes=3 center-mag=-0.342075/-0.0918936/2.453612/1/-135/-3.7782277306774\ 8585e-014 params=0/0/1000/0 float=y maxiter=250 inside=fmod colors=000Aaz<3>PJoSFlWAi_5fc0ce7_jFRoNIzb0zj0000zr1zz1zzC<2>zzz\ <2>nsjQdrLdtblU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7aI8eLAh\ MBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP5zL6zI6zE\ 6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P3DN2C\ K2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<\ 3>c5eZ6`U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3\ >S_v<3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL\ 8CI<4>XCAaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<6>Jkg\ Ffp } WUrldsUnseen { ; Version 2002 Patchlevel 5 ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=dcls10.frm formulaname=Triternions center-mag=+0.21680803147823950/-0.39441732514254010/101.1767/1/\ 124.999999999998792/4.20219414820621751e-013 params=0/0/10000/0 float=y maxiter=1500 inside=fmod outside=fmod colors=0008Xa<3>8JP8FL8CI<3>SCCXCAaB9<3>uA2zA0xA0<12>SA1QA1NA1<3\ >D92<3>NN7PQ8SU9<3>`fDhrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0c\ e7_jFRoNIzb0<2>zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H\ 44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj\ 4zg4zc4<3>zS5zP5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>\ f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy\ 0h<3>u1m600enG000t1ns1or2q<2>v2u<3>c5dZ6`U6X<2>F9LAAG7FO4KW0Qc<3\ >5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvinvlqvotvsww<2>zzz\ <3>rwzovzhsw<4>8_d } frm:Triternions{ c1=real(pixel), c2=imag(pixel), c3=p1 x=y=v=0: a = x^2+2*y*v b = v^2+2*x*y c = y^2+2*x*v x=a+c1, y=b+c2, v=c+c3 z=x^2+y^2+v^2 z < 1000 } ----------------------------End par files--------------------------

3 4

Re: [Fractint] Triterions revisited
by Russell Walsmith 30 Jun '05

30 Jun '05

----- Original Message ----- From: "Lee H. Skinner" <skinner(a)thuntek.net> To: "Fractint and General Fractals Discussion" <fractint(a)mailman.xmission.com> Subject: Re: [Fractint] Triterions revisited Date: Wed, 29 Jun 2005 12:58:52 -0600 > > Russell, > > >> BTW, did you notice that some of the beautiful color maps are > lifted from your amazing renditions of Al Niekamps frms? << > > I thought they might have been. > > The pars for BurningMan and 9aaa (which you just posted) use the > formula 9aaa, which you still have not posted. But if you use use > the Triternions formula for the BurningMan par, it does generates a > nice image. Are the 9aaa and Triternions formulas equivalent? > > Lee > OK Lee, I see what you're saying now. Here's how BurningMan was supposed to look: ----------------------------------------------------------------------------- BurningMan { ; Version 2002 Patchlevel 5 ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=dcls10..frm formulaname=Triternions passes=3 center-mag=-0.342075/-0.0918936/2.453612/1/-135/-3.7782277306774\ 8585e-014 params=0/0/1000/0 float=y maxiter=250 inside=fmod colors=000Aaz<3>PJoSFlWAi_5fc0ce7_jFRoNIzb0zj0000zr1zz1zzC<2>zzz\ <2>nsjQdrLdtblU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7aI8eLAh\ MBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP5zL6zI6zE\ 6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P3DN2C\ K2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<\ 3>c5eZ6`U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3\ >S_v<3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL\ 8CI<4>XCAaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<6>Jkg\ Ffp } frm:Triternions{ c1=real(pixel), c2=imag(pixel), c3=p1 x=y=v=0: a = x^2+2*y*v b = v^2+2*x*y c = y^2+2*x*v x=a+c1, y=b+c2, v=c+c3 z=x^2+y^2+v^2 z < 1000 } ----------------------------------------------------------------- Russell

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Re: Triternions
by JackOfTradeZ 30 Jun '05

30 Jun '05

There is a mistake in the 9aaa PAR. Instead of: formulaname=9aaa it should be: formulaname=Triternions and it works JoTz

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Re: Triterions
by JackOfTradeZ 30 Jun '05

30 Jun '05

Yeah - those are seriously cool images. Also in 3D. And I'm gonna steal those color maps for my own work <g>. I may be able to animate them ... lez see. JoTz

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Re: [Fractint] Triterions revisited
by Russell Walsmith 29 Jun '05

29 Jun '05

----- Original Message ----- From: "Lee H. Skinner" <skinner(a)thuntek.net> To: "Fractint and General Fractals Discussion" <fractint(a)mailman.xmission.com> Subject: Re: [Fractint] Triterions revisited Date: Mon, 27 Jun 2005 07:32:20 -0600 > > Russell, > > >> BurningMan { ; Version 2002 Patchlevel 5 > >> ; Version 2002 Patchlevel 5 > >> reset=2002 type=formula formulafile=Triternions.frm > >> formulaname=9aaa passes=3 > > Can you post the formula: 9aaa? > > Thanks! > BTW, did you notice that some of the beautiful color maps are lifted from your amazing renditions of Al Niekamps frms? --------------------------Start par file--------------------------- 9aaa { ; Version 2002 Patchlevel 5 ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=Triternions.frm formulaname=9aaa passes=3 center-mag=-0.342075/-0.0918936/2.453612/1/-135/-3.7782277306774\ 8585e-014 params=0/0/1000/0 float=y maxiter=250 inside=fmod colors=000Aaz<3>PJoSFlWAi_5fc0ce7_jFRoNIzb0zj0000zr1zz1zzC<2>zzz\ <2>nsjQdrLdtblU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7aI8eLAh\ MBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP5zL6zI6zE\ 6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P3DN2C\ K2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<\ 3>c5eZ6`U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3\ >S_v<3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL\ 8CI<4>XCAaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<6>Jkg\ Ffp } frm:Triternions{ c1=real(pixel), c2=imag(pixel), c3=p1 x=y=v=0: a = x^2+2*y*v b = v^2+2*x*y c = y^2+2*x*v x=a+c1, y=b+c2, v=c+c3 z=x^2+y^2+v^2 z < 1000 } ----------------------------End par files--------------------------

2 1

Re: [Fractint] Re: Triterions revisited
by Russell Walsmith 29 Jun '05

29 Jun '05

>Russ dude - >Glad you still with us. I thought you like, got dead or something, even your web site is down. Jotz! Wassup Homie? Yeah nice to be here, I was gone camping for awhile. Years past, my "routine" was to take two months or so each year, typically just to wander around the Western US and Canada, but I'd foregone that lately. It's been a nice break. The web-site was a fun adventure, but it's definitely time to upgrade to something more stylish, with some image galleries, new URL and etc. Do you (anyone) have any recommendations for site hosts? >Lemme check out your new formulas here - I'll see if I can do a 3D for you. Cool. >Live today tomorrow you die. Well, if you say so... but from the modern "metaphysical" perspective, all of us are god and we create the world anew in every instant from our thoughts. That is, our desires, beliefs attitudes and expectations precipitate into physical reality as objects and events. Ergo, if you believe you are going to die, you will be correct, in that the physical body will decease according to your instructions. If, however, you regain sufficient awareness of your original identity, you can "ascend" the body; i.e., raise its vibration to that of light. To oversimplifiy the situation, classroom Earth is pass/fail: if you die, you repeat the course. To ascend is to demonstrate a mastery of the material realm that makes reincarnation an option, rather than an obligation. Of course this idea may be pure nonsense... but since we all know what we've got coming according to the conventional belief system, what have we to lose by contemplating that this alternative, a fundamental premise of many ancient mystical traditions, may be true? >JoTz

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Brief FOTD break
by Jim Muth 29 Jun '05

29 Jun '05

Fractal fans: Due to the sudden arrival Tuesday evening of an unexpected amount of work, and the approach of a holiday weekend, I will not be able to post the next FOTD until 6 days from now on Tuesday, July 5. There is no need to be concerned about the end of the FOTD. My enthusiasm is still there. It is the time that will be lacking. So until Tuesday, take care, and the search for fractals is never-ending. Jim M.

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28-06-05 (Nest of Termites [4])
by Jim Muth 28 Jun '05

28 Jun '05

FOTD -- June 28, 2005 (Rating 4) Fractal visionaries and enthusiasts: I am sometimes asked why I have devoted so much effort over the past eight years to searching for these elusive fractals and writing mediocre-quality discussions about the things I find. Taken together, the FOTD writings consume as much disk space as almost 20 average-length novels. That is a lot of writing. I am also asked why I don't put my writing energies into writing articles or short stories. Well, over the past 30 years, I have written quite a few short stories, once again of mediocre qual- ity. I have also written articles much like those I occasion- ally post on these lists -- of mediocre quality of course. I receive no monetary reward for my efforts, and very little fame. But despite this, something drives me to continue. Fractals are new worlds, and I fantasize about exploring new worlds. I suppose I am a bit resentful that I arrived too late to explore the unknown regions of this world and apparently too early to explore the unknown regions beyond. (I use the word apparently because I am becoming ever more convinced that, other than an occasional lucky astronaut, men will never get into space. Earth simply lacks the resources to send a large number of people into space. Our physical needs are far too many, far too specialized, and far too expensive for mass space travel to ever be practical.) Exploring fractals is ersatz space exploration, which is why I never grow bored with it. Whether it is worth the effort is another story. Sometimes I start to think it is not, but then a great fractal turns up, and my waning enthusiasm is boosted. Unfortunately, today's below-average effort will do little boosting. Today's image is a scene in the fractal that results when (1/Z) and Z^(-2) are combined and (1/C) is added. With its colored disks and patches, the image is very typical of those found in fractals created with negative exponents of Z. For some reason, I named it "Nest of Termites". This is termite season, after all. The rating of a 4 seems justified for an image that impresses me as being just another in an endless series of similar fractals. The render time of under 4 minutes assures that not too much effort will be wasted in rendering the image from the included parameter file. For the convenience of those who would rather not or, or because of over-qualified computers, cannot render Fractint parameters, the pre-rendered GIF image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The temperature of 82F 28C here at Fractal Central on Monday was fair enough, but the frequent and sudden rain showers kept the fractal cats confined to the shelter of the porch. When a tough neighborhood tomcat ventured into the yard, Tippy exerted enough effort to chase it back where it belongs, but when the yard was clear of intruders, he returned to the porch to wash himself dry. Thomas watched the action from his cozy nest on the porch chair. Today is starting sunny and warmer. If no showers come up, it should be a fine day for the duo. For me, the work is increasing, so I had best get busy. Until the next FOTD appears 24 hours from now, take care, and if life is rough, take heart. It won't last forever. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Nest_of_Termites { ; time=0:02:55.65--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-2.20506541471050600/+4.716593110647167\ 00/103.5543/1/-135/-3.19069354270951067e-011 params=-2/-1/-1/-2/0/525 float=y maxiter=750 inside=0 logmap=34 periodicity=10 colors=000OqaOqbOpcOpcMgMLZ4MZBMZIBH9`aVIODKRDMTDO\ WDQYDS`DUbDWeDYgDalQdpbgtofjceaSdTGcK5YQETWNOaWIgd\ Dmm8su7mv7hw6bw6Yx5Sy5Ny4Hz4Cz6Fy7Hx9JxAMwBOvDQvES\ uGVtHXtIZsK`rLcrNeqOgpPipVll_oidqfdpddobaVYcZ_daaf\ ebhidjmfkpgilehhdfdce`bdXabT`aPZ_LYZHXYDWW9VV5UU2T\ OANIIICQD7X88WC9WGAWKBWOCWSDVWEV_FVcGVgHVjLzt47dA6\ cF6cK5cQ5cV5c_4ce4cj3co3ct3cp7flAhiDjeHmbKoZNqVRtS\ UvOXxL_zb8Qd7Oe7Mf6Kh6Ji6Hj5Fk5Em5Cn4Ao48q47r35s33\ t32iF8_RDQaIGmN6xSBpQGiOLbNQWLVOJ_HIdAGi3Fj5Jj7Mk9\ PkASkCVlEZlGalHdmJgmLjmMmfLj`LgVLePKbJK_DKYJJVPITU\ HQ_GOdGMaKM_NMXQMVUMSXMQ_MNcMLfMIiMGlMSglVhgYhc`h_\ chWehRhhNkhJnhFphBoeEnbGn`JmYLmWOlUQlWTkYVk_Yja_jc\ biedigghiihkkdmlaolZqlVslSulPwlLzlIzlFzlGzeHzZIzTJ\ zMKzFLz9Az50z23z46z69z8BzAEzCHzEJzGMzIPzKRzMUzOXzQ\ ZzSazUdzWfzYczXazW_zVYzUWzUUzTSzSQzROzQMzQNzRNzSNz\ TNzUNzVNzWNzXOzYOzZOz_Oz` } 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: Triterions revisited
by JackOfTradeZ 28 Jun '05

28 Jun '05

Russ dude - Glad you still with us. I thought you like, got dead or something, even your web site is down. Lemme check out your new formulas here - I'll see if I can do a 3D for you. Live today tomorrow you die. JoTz

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FOTD 27-06-05 (Ground-Level Zexpe [7])
by Jim Muth 27 Jun '05

27 Jun '05

FOTD -- June 27, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's image is a scene in the Zexpe fractal, which is a simple Mandeloid, named by Lee Skinner, with epsilon acting as the exponent of Z. To add a bit of interest I chose the fractal as it exists at ground level of the hyperspiral, and zoomed in on a valley. In these irregular fractals, it is hard to tell at first glance whether a valley is of an 'East' variety, a 'Seahorse' variety, or some other variety. The only way is to actually examine the inner details of the valley. The valley I chose in today's parent fractal proved to be of the 'East' variety, with abandoned bits and pieces of elephants strewn about. I chose today's particular midget because of its unusual 2-4-2-4 symmetry. The name "Ground-Level Zexpe" refers to the location of the parent fractal on the hyperspiral. The rating of a 7 reflects the surprise I felt on seeing such a symmetrical midget in a fractal so far removed from integer value. The render time of 5 minutes is within reason, but reason varies, and for the convenience of those who find a 5-minute wait unreasonable, the image has been or soon will be posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> from where it may be conveniently downloaded. Now I must investigate the new triternion formula. The high temperature of 88F 31C was barely acceptable to the fractal cats here at Fractal Central on Sunday. They spent the full afternoon in the holly thicket, but demanded extra tuna when they came inside for the night. Today is starting a bit cooler and with much more clouds, but it is dry. If it stays dry, the duo should have a good day. My day will turn good when the work is behind me and the fractal for tomorrow is in the bag. Until the next FOTD appears in 24 hours, take care, and great things lie just beneath the surface, but where is the surface? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Ground-Level_Zexpe { ; time=0:05:17.42--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=+0.20582645949934450/+0.327273605449370\ 60/2.043985e+007/1/80/-2.42403299516302795e-008 params=2.71828182845905/0/0/0 float=y maxiter=1500 inside=0 logmap=99 periodicity=10 colors=000mQDjRJhSPeTVcU`aVeZWaWXZUYVRZUO_TM_SQ_TT\ _UWZYZZZaYcdYhgYkiZjk_fl`cna_obXqbTrbQtbMu`JtZIrWH\ pRGnNGkIFhDEe8Db5D`9G_DIZGKYKNXNPWPRVSUUUWTXYS_`Rb\ bQedPhgOkiNmkTlgYkdbkaNgY8dV5WO3NISGZoAnh9cb9UW9KQ\ 9AK90JH1JO1JV2Ia2Ih3Io3Iv3Jr6Jo9JlBJiEKeGKbJK_LKXO\ KUQMWTNYWOZZQ`aRacScfUdiVflWgnYiqZjt_lw`myajraglae\ fab`b`VbYPbWJbTDbR7G_aEZ_CZYAZW8ZU7ZTGdYPjbXpgXohX\ oiXnjXnkXmlXmmYllYkkYkjYjiZjhZigZifZheZgd_gc_fb_fa\ _e`_e`_e`jlDiiCigCheChcCh`CgZCgXCfVCfSCfQCeOCeMCeK\ CgIFhGIiEKjCNlAQm8Sn6Vo4Yp2_o7YnCWmGUmLSlQQkUOjZMj\ cKigIhlGhpFioIjnKkmMklPlkRmjTmiWnhYog_ofbpedqdfqci\ rbksamsaopbknbhkcdicafdYddVbdS_eOYeLVfHTfERfBVUYYI\ saFldCeg9Zj7Tk9RkAPkBOkCMlDKlEJlFHlGGZRVLai7kwIrWT\ y4rv3nv4kv4hv4dv4av5Zv5Vv5Sv5Pv6Lw6Ix6Fy6Cz6EzCGzI\ HzOJzULzZMzdOzjQzpRzuPzpOzkNzgLzbKzZJzUHzPGzLFzGEz\ CTzNfzXtzf2zY2zW2zV2zU2zT } 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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info+urgente
by GLORIA MORALES GACITUA 27 Jun '05

27 Jun '05

Estimados Colegas de Fractint Necesito saber con urgencia que programa es el mejor de fractales para windows XP. Desde ya muy agradecidos Saludos Jorge Harris J. e-mail: jharris(a)entelchile.net

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FOTD 10-06-05 (Many Ways to Go [5])
by Jim Muth 27 Jun '05

27 Jun '05

FOTD -- June 10, 2005 (Rating 5) Fractal visionaries and enthusiasts: In today's modern world, there is simply too much information. No one can know everything about a single topic. One must specialize in a narrow area if they hope to break new ground, make new discoveries, become famous and perhaps rich. Except for the riches, the same is true of the field of fractals, which is infinite in an infinity of ways. For some reason, I became fascinated with midgets, (or atoms, minibrots, or molecules, as they are sometimes called), soon after I discovered the world of fractals. I did not do it intentionally. The world of fractals certainly extends far beyond midgets. But to me, a midget kind of defines the nature of the particular area of the particular fractal in which it lies. For example, today's image shows a midget in the fractal that results when portions of Z^(-1.6) and Z^(-8.5) are mixed and (1/C) is added. I named it "Many Ways to Go" because when searching for it, I had many opportunities to take a wrong turn, yet somehow found the right path to the midget. The scene has the typical nondescript appearance of scenes in inside-out fractals with negative exponents of Z. It is rather chaotic, the chaos mostly hiding the inevitable discontinuities. I have emphasized the different levels by varying the colors. But colors alone do not make a great fractal, and I could rate today's image no higher than average, which is a 5. To make matters worse, the render time is a dragging 29 minutes. But things can be made to go faster by downloading the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The temperature reached only 88F 31C here at Fractal Central on Thursday, but the humidity was very high, which made it feel worse than yesterday. The cats are not bothered by high humidity however, and chose to stay outside until a shower came up at 3pm, when they scampered for cover indoors. Despite having their day cut short, their moods were unexpectedly good. With the work pretty much up to date, my mood was good also. Today is starting cloudy and muggy. With the work still under control, I expect a similar day The next FOTD will appear in 34 hours. Until then, take care, and what path would the sun describe in the sky of a four- dimensional planet? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Many_Ways_to_Go { ; time=0:28:43.01--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.61173239305630500/-0.154330402516033\ 00/3.041086e+012/1/122.5/-0.0365804834360021272 params=-0.8/-1.6/-0.2/-8.5/-3/100 float=y maxiter=3600 inside=0 logmap=560 periodicity=10 mathtolerance=0.05/1 colors=000hPugPufPuePtdPtcPtbPtaPs`Ps_PsZPsYPrXPrW\ PrVPrUPqUPqUPqUPqUPpTPpSPpQPpOPoNPoMPoLQoKSnJTnHVn\ FWnDYnBZn9`o7ao5co3dp1fp0gp0hp5eqCcrKarRZsZXteVt`X\ rXZqT`pObnKdmGflChk7ji3lh0ng0nf0me0id0gc1cb3aa4Za6\ W`7T_9QZANYBLYJMRzdLzaEzY8zV1zS0yP0wQ0uN0sM0qL0mK0\ iJ0eI0aH0YG0WF0UE0SD1QC1OB2NA2M93L83K73I64G54E45C3\ 5A358F70Q80RB0RE0SG1SJ2SM3TO4TR4TT5UW6UZ7V`8Vc9VfA\ WhBWkBWmEYjH_hK`fNbdQdbTe`WgZZiWajUdlSgnQjoOmqMprK\ mmMjiNgePd`QbXR_TTXOUUKWRGXPCYUMTYVPacKelGU`NIPU6D\ `01g03h15i47j79jABkDDlGFlJHmMJnPLnSNoVPpYRp`TqcVrf\ Xzi_zlczohzimzcbiZbcTbZObTIlOCfI7rD1c70c22a18`0D_0\ JZ0OY0UX0_W0dV0jU0oT0kS5gREcQM_PVWObSNkPMsQOqQPpQR\ oQSnQUmQVlQWkQYiQZhQ`gQafQbeQddQecQgaQh`Qi_QkZQlYQ\ nXQoWQpVPoUOoTNoTMoSLoRKnRJnQInPHoPGpOFqNErNDsMCtL\ CuLFvNHwPKxRMyTOzURzWTzYVz_Yz`_zbazddzffzghzikzkmz\ mozndziVzeFzT0zH0za0zT1zL } 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 26-06-05 (Jewel in the Lotus [9])
by Jim Muth 26 Jun '05

26 Jun '05

FOTD -- June 26, 2005 (Rating 9) Fractal visionaries and enthusiasts: I think enough of today's near-integer Mandeloid image to rate it at a 9. The rating comes mostly from the coloring, which happened by accident, with little talent involved on my part. (And it's a good thing it was an accident. I put little effort into coloring the image.) The parent fractal is the Z^3.0001+C Mandeloid, which is being viewed fully 31415 levels up the complex logarithmic hyper- spiral, at a level where it has rotated 90 degrees and the valley that normally lies at the bottom center of the south bud now lies on the negative X-axis. Today's scene is located in a tiny bit of cut-off debris sitting unobtrusively in the middle of the broadened valley. Once again, violently cut-up features fill the scene, creating a new pattern by their very numbers. The resulting image reminds me of nothing I am familiar with in the everyday world. I therefore named it "Jewel in the Lotus", a phrase which is (or was) popular among those who do a lot of meditating. I am not sure what the lotus jewel is supposed to be. Most likely it is something mystical, far beyond human comprehension, as also are fractals, so the name seems perfectly appropriate. The render time of only 6-1/2 minutes is surprisingly fast for such a spectacular image. And even that short wait may be eliminated by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and downloading the completed GIF image from there. A hot temperature of 91F 33C here at Fractal Central on Saturday did not deter the fractal cats from their habitual afternoon in the holly patch. When the day ended they returned inside with no complaint to enjoy their treat of tuna. Today is starting the same. For me, it looks like a lazy day coming up. Maybe I'll find excitement in Fractal Land. The next FOTD will appear in 24 hours. Until then, take care, and see the light. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Jewel_in_the_Lotus { ; time=0:06:24.53--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-1.08925890693203400/-0.000124691641026\ 76/2.565123e+007/1/32.5/-4.7039283794514386e-008 params=3.0001/0/31415/0 float=y maxiter=2500 inside=0 outside=tdis periodicity=10 colors=000KaeJegRi`ZmVfqOmuIeqJZmKRjLKfMDcMOUVZKci\ Alt0un7liEcdLV_SMVZDQe4TaAVZGXVMZSS`PYbLcdIifFoUFf\ IFYNL`SRbXXdabffhiknkptmtzonIdfLcZOcRQcJTbBWb3Ybp0\ Cb3SQ6gb7mn8rgCk`GeUK_NNTGRN9VH2YBBI9J38FC6CK59T36\ `23h1uMVvLQwKLxKGyJByJ7uMjqJnnGrjDvgBzjFqmJhoN`rRS\ tVKldUencZxlbqmfknienm_opUogTh_TbSTXKTRCTLLFUQNaUV\ hYaoc`nzdmzcmzqlztlwsfts`qsVnrPkrJhrEiR0nS6sSBwSGh\ IIU8JXEI_JIaOHdTHgZGicGlhFnmFmkIliLlgOkeQkcTjaWj_Y\ XJNJ3CL5GN7JP9MRBPTDSUFVO_HJt3Tq5bn7lk9uiAt_LsQVrG\ dr7nXmmYjhYgdZd_ZbW__R_XN_VJcYKg`LjcLneMqhMukNxmNh\ h`UcmXah_`db__eZWhYRkXNi`Uhd`ghgfknTkqFks2ku4hp6el\ 8bh9`dBY_DVWFSSGQOBM`6Im1FzPWmkk`jhbifchddgbef`feZ\ gdXhdViVPbMKWDFP4AIUQpQTgNW_KZSHaKEcCMY9UT6`O4ZSCY\ VKWYRVaZTdeSgmRjtYcmdYgkSaiUbhWbfYb4UhcRcOKcVKc`Kc\ fKckPcpYzpStePiOIX8FJCJOFMTJQYMTbPWhT_nWbtZbzXXqVO\ hTEZS5QQASPFUOJXNOZMT`LXc } 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 25-06-05 (Star-struck [6])
by Jim Muth 25 Jun '05

25 Jun '05

FOTD -- June 25, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's disk-filled image is a scene in one of those bloated, shapeless parent fractals that results when a fractal with negative exponents of Z is near the point of turning inside-out. To create today's parent fractal I took Z^(-1.5) and combined it with 0.1 part of Z^(-15) before adding (1/C). The name "Star-struck" has little to do with the appearance of the image. The rating of a 6 might be a bit liberal, but the colored disks in the image, even though they are very common in such fractals, are among the more spectacular I have come upon. The render time of 2-3/4 minutes makes calculating the image a minor task. And the image is also available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a high temperature of 88F 31C, Friday was rather hot here at Fractal Central, but the dynamic duo did not seem to be bothered by the heat as they slept under the holly trees most of the afternoon. Only a minor treat of tuna was needed to end their day satisfactorily. Today is starting even warmer, with higher humidity added. The cats will endure the conditions somehow. For me, it looks like a rather slow day on the way. The next FOTD will appear in 24 hours. Until then, take care, and ponder the great mystery. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Star-struck { ; time=0:02:42.69--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.43845969486441970/-1.109134687337877\ 00/1.567753e+009/1/-51/-0.000280759513837061658 params=1/-1.5/0.1/-15/0/0 float=y maxiter=550 inside=0 logmap=48 periodicity=10 colors=000KK_7KiBPpCKdEgzVYUiPuyHrU9ndyzMnr4fX0_X0\ TX1OM7KCCH2KP6TX7adBgkCprGyzHzzKzzMzzGzuBzk6zb1zV0\ zK0zC0z400pC2w77z4Cz1Tm1iR1z61z01z00z10z90uH0pP0n6\ Bn0_mJJmm2dfCY_MPTXJMfCGp49z02z00z1Kz9fzHzuCys9ur6\ rr1np0kn0in0wu4zzn2TmKCmb0ms0KJ000B0R90PE0PJ2PO7OT\ COYGOb0r_0zX0Ts70z40z22z1Gr0Rk9yz6nz2fz1Yw0Or0Gk07\ d00_06f0Bm0Gs0My0Rz0Xz0az0Xz0Rn7M_GHMPGG_EBgC4rC0z\ B0z90z90z60z2Cz1Pz0dz0sz0zz6szHfzVTzfGzf_ziazmazpa\ zsazwazzazzazzazzgzGkzXdzkYzfazbbz_dzVfzRgzOizTazX\ Tz_KzbCzf4zi0znBzsMzy_zzkzrazfRzgaziizkszlzzmzznzy\ ozxpzwqzvrzuszztzzunwvXpwEix0by0az0az4azHazV_zg_zu\ _zz_zzazybzbdzJfz0fz0fz0fz0fz2gz0gz0gz0gz0iz0iz0iz\ 0iz0_z7PzYGzyMzgRzRXzBdzGkzKszPzzVzz_rzTbzMOzGBz9J\ zBPzBXzBbzBizCpzCwzCzzCzzKyzRuzYszfpzmnzsmzzdzMXz0\ Rz0Oz0Kz0Gz1Cz49z76zBJz9Xz7iz6wz4rz7mzBgzEbzHYzKTz\ OPzRKzPGzO1zK1zM1zO1zP4zX } 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 24-06-05 (Fractal Nets [6])
by Jim Muth 24 Jun '05

24 Jun '05

FOTD -- June 24, 2005 (Rating 6) Fractal visionaries and enthusiasts: After yesterday's round of OT political blather, it's time for a terse and to-the-point fractal discussion. In today's fractal I took the Z^2.00005 Mandeloid and examined it 62830 levels up the logarithmic hyperspiral, at a level where it has rotated almost exactly 180 degrees. I once again chose East Valley (in this case a west valley) of the largest midget. At first I saw spider webs in the image, but we had already seen too many spider webs. Changing my mind set, I then saw fishing nets, and gave the picture the simple descriptive name "Fractal Nets". The image rates a 6. It's a good enough fractal, but the entire 'network' theme is being overdone, creating nascent boredom and holding down the rating. The render time is 1/2 second short of 10 minutes. This time is appropriate for such a moderate quality image, and those without the 10 minutes to spare may still enjoy the image by downloading it from Paul's FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The Thursday weather here at Fractal Central was perfect, making the cats perfectly happy, as happy as only cats can be. Today is starting a bit warmer, but the duo should not mind. For me, the work is moderate and the fractals keep coming. The next one will arrive in 24 hours. Until then, take care, and it's some- times hard to let go. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Nets { ; time=0:09:59.50--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=+1.74949246694105800/-0.000598456658569\ 62/1.167956e+010 params=2.00005/0/62830/0 float=y maxiter=6000 inside=0 periodicity=10 colors=000NOzQNvSMrVLoXLk_KhaJdcJabMcbOdaQfaSg`Ui`\ Wj_Yl__m_bnZdpZfqYhsYjtXlvXnwXpxWktWgpWbmWZiWVeWQb\ WMZWIWYLTZNQ_QN`SKaVHbXEc_Bda8ec5Zb8TbBMbEGbHAbKDc\ MFdOIdQKeSNfUPfWSgYUg_XhaZicaiecjgehigfghcei`cjYak\ V_lRYmOWnLUoISpFQlGPhHOeHNaIMZILVJKSKJOKJLLIHLHEMG\ ANF7NE3OD0OD1MB2LA2K83J74I54H4BIAIJFPKKWLPbMUhNZdR\ X`UVXXTT_SQbQMeOIhNEkLAnJ7qIAZGDGFFHIHIKIJMKKOMLQN\ MTPNVROXSPZUQ`VRbYDR`0Fa8FbFFbNFcUFcaFdhFdoFemGekG\ eiGfgHfeHfcHgaIg_IgYIgWIiUIjRIlPImNITwaSx_RyYRyWSu\ _TrbUoeVkhVhkWenXaqYZtYWw_YsaZob_kd`gfacgc_idWkeSl\ fOngKohGlcGi_GfWGcSGaOGSeCJw8NAzV9xb9wj8vr8uy8tmCl\ aGeQKZENSFPRGQRGRRHTQHUQIVQIXPJYPJZPI`RHaSHbUGcVGe\ XFfYFg_Eh`DibDkcCleCmfBnhBoiDkgFheHecJbaLZ_NWYPTWR\ QUTNSVJQXGOZDM`AKb7IeDMgIPiOSlTVnZYpc`mdekdihenfer\ devbhqakl`mg_pbYsYXuTWxOVzKTuLRqLQmMOiMNdML`NKXNIT\ NGPOFKODGOCCPA8P94PNSwNQy } 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 23-06-05 (Un-Named [7])
by Jim Muth 23 Jun '05

23 Jun '05

FOTD -- June 23, 2005 (Rating 7) Fractal visionaries and enthusiasts: After re-reading today's discussion, I almost hit the delete key and wiped out the following five paragraphs, which are more political than fractal. But at the last second I withheld my finger and let the OT paragraphs stay. Those who are annoyed by political bluster should skip to the fractal discussion, which begins 6 paragraphs below. How can I possibly get the energy to produce a new FOTD almost every day? Why, after 17 years of playing with fractals, have I not grown bored with the chaotic things? Why don't I put more effort into being a proper fractal artist rather than a fractal explorer? Maybe I enjoy co-existing with nature as it is, and dislike trying to bend it to my desires. And why do I still use 15-year-old DOS programs, (Fractint and WordPerfect 5.1), to produce the FOTD, when the more modern Windows X.XX programs are so much more trendy? Maybe it's for the same reason that I don't have a web site and don't own a hand-held mobile telephone. (And how do I get along without these necessary things? -- Very well indeed!) Maybe some of the old ways of doing things were simply better. For example, there were once days when schools actually taught students the skills they need to be productive in our society. Fractal lady has a friend who teaches 7th grade in the Baltimore City school system, or perhaps I should say used to teach in the school system. She visited Fractal Central last evening and began talking about her situation. Her contract was not renewed because she was causing trouble by actually failing some of her students. She failed them because they had not done the work needed to pass. It is not that they tried to do the work and needed more help. They did not even try. In fact, on half the days they didn't even show up for class. She showed us a 5th-grade reader that was published in 1896, and compared it with the writing that her 7th-grade students had produced. The old 5th-grade reader looked like a present-day college-level text, while the writing her students had done would have been considered 2nd-grade level in 1896. None of this is new to me, but it certainly supports my conviction that something has gone wrong in the past century, and I doubt it is mankind who is growing less intelligent. Fractal lady's friend is a fine teacher, and has already found a position in another school system. As she was leaving F.C. I jokingly told her to use fractals to add a bit of interest to her next class. They certainly make life more interesting for me. For all I know, she actually might do it. To create today's FOTD I took just plain Z and subtracted the tiniest part of Z^1000 from it before adding C. Or one could say I took the tiniest negative part of Z^1000 and combined it with just plain Z before adding C. The result is the same -- a fractal with the nature of high-order Mandeloids but without the lacy effect. Today's scene is located on the positive X-axis of its parent, very near the origin. Due to the intense amber coloring, it rates a 7. When the time came to name the image, I could think of nothing that describes it, and left it without a name, the word "Un-Named" serving as a kind of name. The render time of 20 minutes is on the slow side. Relief is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A mixture of clouds and sun, and a temperature of 84F 29C kept the fractal cats busy taking it easy on Wednesday. In the evening, when distant thunder started grumbling and a short shower fell, the duo decided it was time to come inside. The threatening storm never materialized, and the cats celebrated by devouring a hefty treat of tuna. Today is starting sunny and cooler. It looks like another good day coming for the duo. For me, the work is picking up, but is not yet enough to conflict with the fractal exploration. The next FOTD will appear in 24 hours. Until then, take care, and do as you will. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Un-Named { ; time=0:20:14.08--SF6 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.008635412561115/0/2.376094e+008/1/180 params=1/1/-0.001/1000/0/0 float=y maxiter=7200 inside=0 outside=tdis symmetry=xaxis periodicity=10 colors=000SXOTIJvITlDOb8J47sD5eL4SqcUVDFbE5Y8AzzPv\ c6pT9kKCTSdZNXedPkjGzz0zz0vkGt_VrOjpCyYb7PV7GN77G7\ HQKRZX`giWibSkXOmRKoLGqFCs98t3GnDNiMUdVa_dhVmoQvhU\ qaYmW`iPdeIhaCkYPh_`faldbghebkgYoiTrkEbq0OwkVphYie\ _cbbX_dRXfKUiERk7Pm1OhBOdLN`VNXcRJdU5eMG_EQV6_Q5aO\ 5cN5dL5fK5hJ5iH5kG5lF7jM9iTBh_DgeFflHesJdyUftdgpoh\ lzihZ`d8T`DXbI_dNbfRegWhi`kkdnlm_WuLFnIEgFDaCCVABP\ 7AI49C29HBIMKRQS_V`h_iqcqy_lwWhuScsP_rRdiSiaUnTVsL\ ZlQafVe`ZhVckOhoIlrCqu6usAuqEuoIumMukQuiUugYudQraI\ pZAmX2kIZ4LV5OS6RP7UM8XJ9ZG97JlVR4ZT8bUCfWGjXKnZOr\ _Sv`WoYVhVUbTUcXTd_SecRffQgjPgmOdoMaqL_sKXuIVwHSyG\ QzFUyGYyHayIeyJiyKmyLkxKiwJgvIevHcuGatF_tEYsDWrCUq\ BSqAQp9Oo8No7PZARJDW`6fZLkHN_RTP`YDjb2sgCacMK_V3WT\ 5UR7TQ9SJZdCwpRsoepnsmmar_LvMNhKPVId69RHGvUFgGFBAf\ G8_K6TP4MPRnm00f15_2ApUndGXh7f`5TNHGPCFR7F6kREXNMI\ JH_qj9Be7Ca6DX4ECifQzYRkT } 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 22-06-05 (All Empty [5.5])
by Jim Muth 22 Jun '05

22 Jun '05

FOTD -- June 22, 2005 (Rating 5.5) Fractal visionaries and enthusiasts: Today's fractal diversion takes us to the parent fractal that results when 1.08 parts of Z^(-8.8) are subtracted from 0.54 part of Z^(-0.3) and (1/C) is added. As is usually the case with these double-negative fractals, the result defies descrip- tion. One prominent object, a circular feature with scalloped edges, lies on the X-axis however, and today's scene is located in the chaos around the edge of this feature. To make things more interesting, I evaporated the image and rendered the resulting blank screen with the inside set to 'atan'. I rarely use this fill because it tends to create too much chaos in the type of fractals I work with. But in today's image, it gives the best results of the active inside fills. The name "All Empty" refers to the appearance of the screen before I applied the 'atan' inside fill. I was totally undeci- ded whether to rate the image a 5 or a 6, so I chose a rating of 5-1/2. But the render time of 50 minutes is notably slow, making the download from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> the better choice. Also, my writer's block, or whatever it was, is beginning to lift, and I am actually having some reasonably unreasonable ideas about the nature of the 'self'. (I temporarily discontin- ued my philosophizing almost 3 months ago.) Expect some action on the philofractal list in the not-too-distant future. Brilliant sun and a temperature of 82F 28C kept the fractal cats contented on Tuesday. Thomas passed the afternoon lounging in the holly grove, while Tippy kept watch from his chair on the shaded porch. Nothing out of the ordinary happened, and the duo ended the day with a minor treat of tuna. Today is starting sunny and warmer. If all else goes well, the day will be good. For me the work is light, but not as light as the past week. The next FOTD will appear in 24 hours. Until then, take care, and weigh your options. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= All_Empty { ; time=0:50:50.52--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.99176572640974100/+0.232877035163978\ 60/29333.33/1/-85/-1.75738329444286023e-009 params=0.54/-0.3/-1.08/-8.8/0/1e+100 float=y maxiter=1200 inside=atan logmap=yes periodicity=0 colors=222zOszezzyzizzzzDzm0ytBrwWopmz01za`222Cz0z\ zyzzzzzzzzzzcDzmVzrewytWkkdrpjyt50zOMyckw3zs222Q90\ zwzzzztzzSb8frdzs0zxJrzgzzNzzZwziuzuhyzzplyxwazEez\ UizfmzpIokTtp`wrgztZzHgzfEwzRyzbzzz_gznpuuueh0gpNm\ yjzwzznz8zck0MiKZhcfooozN0zcNwsj2tzHvzSyzdzzziyzHl\ zbprrrpu0FdOZrhzWctssz0F0CoAUpPgrcrt0PV70z0zVCzcYz\ ozGlz`puuuzm2zqJzvavzrzPdzbkypstttz8zIDKXXYgmkwwwL\ UQzlvzzjzzUtqjXTpNz0Mz6QzMPzWPzeDbS0AF222zzgpzvvzn\ vzttzvtttuuuJUzSdzZmzhwzJ0zUOzflyz0etNlpppzz9uzQsz\ dtzs008FzzYzzSSSjxzkxzlzy0Xz7ezNmzcxy0fbGoiZwrz0Oz\ DZw`iooozzzyzzuzzqzzmhFBGCY1zcTzlpz04rAQtQdtcrusz1\ FZzMuzTvzazzfzvIW0080EUFZmccDfhakppppdzqqznvzy0ztR\ zsqz0YF5mTNtcadkmz9mzWozmzzSzzzUxzazzgzzjzz0BhNfov\ Ezs`zstzzmmwvuwww0ktHruZyvbFFdWUdddprp0u0ByFQzXbzj\ lu0oSzqpzu0Om_gDFBzezzyzzrXzzxzzzzzzzzzylFrrZsypPz\ G_zZhzmzgzxtzyyyz0YzOfrpq } 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 21-06-05 (Beyond the Horizon [7])
by Jim Muth 21 Jun '05

21 Jun '05

FOTD -- June 21, 2005 (Rating 7) Fractal visionaries and enthusiasts: It's the day of the summer solstice in the northern hemisphere, the longest day of the year, though not quite yet the day of the latest sunset. At latitude 39 north, that day comes in about a week. In places such as Barrow, Alaska and Murmansk, in Russia, which are well north of the Arctic Circle, the sun has been above the horizon for more than a month, and will not set for another month. Way up there, the longest day really is some- thing special. Today's fractal is named "Beyond the Horizon". I was thinking of those 1500-hour arctic days when I named it. The parent fractal is the Z^(2.0001)+C near-M-set with just a tiny pinch of Z(1.5) added. I found today's scene in East Valley of the large midget on the main stem. A certain similarity is appearing in these East Valley scenes on the main stems of near-M-sets. After a short diversion from near-M-sets in tomorrow's FOTD, I'll tackle the areas just beyond the main stems of the midgets, where things should be quite a bit different. Thanks to its coloring, today's image rates a 7. The render time of under 8 minutes is a bit slow, but there is always the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> from where the completed GIF image may be downloaded. Clouds and an unusually cool temperature of 72F 22C were just what the dynamic cat duo ordered on Monday. They were outside over 6 hours. When they came in at sunset, they almost forgot to ask for their traditional tuna treat. Today is starting sunny and warmer, but not too warm for the fractal cats, who already are thinking of going out. For me it's a modicum of work and lots of time for the next fractal, which will appear almost by magic in 24 hours. Until then, take care, and always be fractally correct. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Beyond_the_Horizon { ; time=0:07:41.43--SF5 on a P200 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotMix2way passes=1 center-mag=-1.74637475977665700/+0.000138914619538\ 41/2.58216e+009/1/-10/6.9321984273444659e-005 params=1/2.0001/0.0003/1.5 float=y maxiter=2500 inside=0 logmap=178 periodicity=10 colors=00000Z00`00c00f00i00l00p00t00u01w0Oz0Tz0Gb0\ K00R00W00b00h00n00s05w0Ay0GzCIw3Ks8MnCOjGQfKSbOUZS\ WWWbS`fQdkMhjMdfK`TPWHORDLMMFITJFZQCfV8uXRzcezhszh\ zvozmwzLzzWzzCzz8zz8zzCwwGlsIbnK8bL0RM0fM0uN0zM0zG\ 8zCIz6Tz2ez0oz0xzEzz_zzvzzzzzzzzzzzxzzqzzkzzezzazz\ 9WPCbWEfbGjfInlLssMwwPzzRzzgosuagzNVz8IzECzI6zM2yQ\ 0sU0lY0fW0_W0TT0NT0HT0BR05R01R0T70MI0JW0Gf2Cs28z20\ Izwz0qu0jl0dd0YW0TN0bW0hb0nh0ql0sn0upAwsMywazymzzy\ zzzzxyysowocukTsgIqb6nZ0nU0qb0qj0qs0qz0sz0sz0sz0sz\ 0qzEozWmzkkyzOqf2hM0_17R7WJDwCKz6OzG8zR0yO0sM0nK2h\ I6bG8YF9n8bz2zz0zy0Yb00W00R30KG0HW0Bj08y64zAFd0R50\ d00R50F_06z64zG4zQ4z`zWszRizP`wLQjIIYG8KB07700504B\ 0AGEHNYOTnzhEbKOD0W00d90TRHLjdCzy4zzIyzYyzkxzyxzz_\ wsCl`0bH0T10Jf0Cz0_Y5w00f00R30B900G00K10MD0RN0T_0W\ l0`y0cz0ew0bl0`_0YP0WW01bH0dG0fG0fG0hF0jG0jG0lG0lG\ 0YD0KB588D07R05b05l80bD0b } frm:MandelbrotMix2way {; Jim Muth z=0,0, c=pixel, a=real(p1), b=imag(p1), d=real(p2), f=imag(p2): z=(a*(z^b))+(d*(z^f))+c, |z| <= 100 } END PARAMETER FILE=========================================

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Re: [Fractint] FOTD 20-06-05 (Golliwog [7])
by padski＠padski.com 20 Jun '05

20 Jun '05

Here you are... http://golliwogs.com/history/ Paddy Duncan ----- Original Message ----- From: Jim Muth To: fractint(a)mailman.xmission.com Cc: philofractal(a)lists.fractalus.com Sent: Mon, 20 Jun 2005 11:47:19 -0400 Subject: [Fractint] FOTD 20-06-05 (Golliwog [7]) FOTD -- June 20, 2005 (Rating 7) Fractal visionaries and enthusiasts: With today's fractal we enter new territory. We are still examining fractals with exponents slightly greater than whole numbers, but we are combining various portions of two different exponents. In today's fractal, we have combined one part of 2.00001 and 1/10 part of 4.00001 to produce an infinitely divided main stem, creating an effect of a crazy railroad switching yard, but with different inner details. At such an early stage of exploration, I have barely scratched the surface of what might exist in the depths of such fractals. I have much more exploration to do before I can come to any conclusion about the potential of today's line of investigation. Luckily, the commercial work is still slow, (in fact, it's a bit too slow), and this will give me lots of time to spend in fractal land, exploring today's theme. I named today's image "Golliwog". The image is not really so grotesque as to deserve that name, but the word is one that is not heard very often, so the name will remain. Actually, I'm not quite sure what a golliwog is. I seem to have the impression that it is an ugly, animated doll, perhaps appearing in a story I once read. Today's rating of 7 is an improvement over yesterday's sagging rating. The render time of 19-1/2 minutes on my lazy 10-year- old machine is still slow, but the image is at least more worthy of the effort. Those with machines that suffer knee-jerk reactions to Fractint and its old VESA video modes will need to download the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy clouds hung overhead all day Sunday here at Fractal Central, but no rain fell, which made conditions quite satisfactory for the fractal cats, who spent most of the afternoon in the holly thicket, enjoying the temperature of 73F 23C. They needed only a small treat of tuna in the evening to keep them in a good mood. Today is starting with clouds and rather chilly temperatures. It remains to be seen how the duo will take these conditions. For me the work awaits, so I had best get started. The next in the endless string of fractals will appear in 24 hours. Until then, take care, and I might know everything about everything, but I still don't know what it is that does the knowing. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Golliwog { ; time=0:19:37.72--SF5 on a P200 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotMix2way passes=1 center-mag=-1.46096687924101100/+0.000029695024164\ 56/1.475676e+011/1/-10.000181730934818/0.000277112\ 388399815279 params=1/2.00001/0.1/4.00001 float=y maxiter=3000 inside=0 periodicity=10 colors=000ztkztjzrlzrlzpmzpmznnznnznnzllzikzfhzefz\ bdz`bw_`sX_pTXmSWjPTgNSeLObJOYGLVEKSCHP9GM7DK5BH28\ E07H3AK5BL6DO7ER9HSAIVCKYDL_EObGPeHQfISiKVlLXmMYpO\ ZsPatQcwSdxTepX_i`WaeRTfNKiIClD5o90p40f70Y90PB3RE6\ RH9SKCSOFSQHUUKTVNUYQT`TTcWUfZUibUjgRilOhoLgsIfwFf\ zDdzAdz7cz4bz0bz0ap8fOEi0Lj0Tc1`Y4gP6mIEjKLiLSgN_f\ OgdPmbQt_SzYTzWTz_QzbNzeKziHzlEznBzr9zu5zx2zs4zp5z\ m7zk9zgAzdCzaDxZExWGxSHxPHtUGpZGlbHggFdjG_oFUqFPvD\ KxDHzDDzD8zA3zA0zB0zB0z92zA5zA9tACo9Gi9JcANXARRAUK\ 9XC9_58b09e09`0AX0CS0EO0EK2GG3IB5K66K28L09M0CM1GO9\ JPFMRMOSUSS`VTgYUm`WtdXzfYziZzl_zhazgbxddtcfpahl_l\ fYmaXoXTpSSqORsJOtFMvWEzbJzjPzrTxzYxw`zsbzoczkfzgi\ zdkzanz_pzXnzWkzUgzSdzQbxPatOZpLXlKTgIQcGO_ENVDKRC\ HM9EI8CE699584AC6DH9GLCIOFLSIOXKQ_NTcQXgTZlWaoYcs`\ fwbizekzhnzkpzmozlnzknzklzilzikzhizfjzghzehzefvaeq\ YdlWdgRzzfzxgzxgzvizviztk } frm:MandelbrotMix2way {; Jim Muth z=0,0, c=pixel, a=real(p1), b=imag(p1), d=real(p2), f=imag(p2): z=(a*(z^b))+(d*(z^f))+c, |z| <= 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 20-06-05 (Golliwog [7])
by Jim Muth 20 Jun '05

20 Jun '05

FOTD -- June 20, 2005 (Rating 7) Fractal visionaries and enthusiasts: With today's fractal we enter new territory. We are still examining fractals with exponents slightly greater than whole numbers, but we are combining various portions of two different exponents. In today's fractal, we have combined one part of 2.00001 and 1/10 part of 4.00001 to produce an infinitely divided main stem, creating an effect of a crazy railroad switching yard, but with different inner details. At such an early stage of exploration, I have barely scratched the surface of what might exist in the depths of such fractals. I have much more exploration to do before I can come to any conclusion about the potential of today's line of investigation. Luckily, the commercial work is still slow, (in fact, it's a bit too slow), and this will give me lots of time to spend in fractal land, exploring today's theme. I named today's image "Golliwog". The image is not really so grotesque as to deserve that name, but the word is one that is not heard very often, so the name will remain. Actually, I'm not quite sure what a golliwog is. I seem to have the impression that it is an ugly, animated doll, perhaps appearing in a story I once read. Today's rating of 7 is an improvement over yesterday's sagging rating. The render time of 19-1/2 minutes on my lazy 10-year- old machine is still slow, but the image is at least more worthy of the effort. Those with machines that suffer knee-jerk reactions to Fractint and its old VESA video modes will need to download the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy clouds hung overhead all day Sunday here at Fractal Central, but no rain fell, which made conditions quite satisfactory for the fractal cats, who spent most of the afternoon in the holly thicket, enjoying the temperature of 73F 23C. They needed only a small treat of tuna in the evening to keep them in a good mood. Today is starting with clouds and rather chilly temperatures. It remains to be seen how the duo will take these conditions. For me the work awaits, so I had best get started. The next in the endless string of fractals will appear in 24 hours. Until then, take care, and I might know everything about everything, but I still don't know what it is that does the knowing. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Golliwog { ; time=0:19:37.72--SF5 on a P200 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotMix2way passes=1 center-mag=-1.46096687924101100/+0.000029695024164\ 56/1.475676e+011/1/-10.000181730934818/0.000277112\ 388399815279 params=1/2.00001/0.1/4.00001 float=y maxiter=3000 inside=0 periodicity=10 colors=000ztkztjzrlzrlzpmzpmznnznnznnzllzikzfhzefz\ bdz`bw_`sX_pTXmSWjPTgNSeLObJOYGLVEKSCHP9GM7DK5BH28\ E07H3AK5BL6DO7ER9HSAIVCKYDL_EObGPeHQfISiKVlLXmMYpO\ ZsPatQcwSdxTepX_i`WaeRTfNKiIClD5o90p40f70Y90PB3RE6\ RH9SKCSOFSQHUUKTVNUYQT`TTcWUfZUibUjgRilOhoLgsIfwFf\ zDdzAdz7cz4bz0bz0ap8fOEi0Lj0Tc1`Y4gP6mIEjKLiLSgN_f\ OgdPmbQt_SzYTzWTz_QzbNzeKziHzlEznBzr9zu5zx2zs4zp5z\ m7zk9zgAzdCzaDxZExWGxSHxPHtUGpZGlbHggFdjG_oFUqFPvD\ KxDHzDDzD8zA3zA0zB0zB0z92zA5zA9tACo9Gi9JcANXARRAUK\ 9XC9_58b09e09`0AX0CS0EO0EK2GG3IB5K66K28L09M0CM1GO9\ JPFMRMOSUSS`VTgYUm`WtdXzfYziZzl_zhazgbxddtcfpahl_l\ fYmaXoXTpSSqORsJOtFMvWEzbJzjPzrTxzYxw`zsbzoczkfzgi\ zdkzanz_pzXnzWkzUgzSdzQbxPatOZpLXlKTgIQcGO_ENVDKRC\ HM9EI8CE699584AC6DH9GLCIOFLSIOXKQ_NTcQXgTZlWaoYcs`\ fwbizekzhnzkpzmozlnzknzklzilzikzhizfjzghzehzefvaeq\ YdlWdgRzzfzxgzxgzvizviztk } frm:MandelbrotMix2way {; Jim Muth z=0,0, c=pixel, a=real(p1), b=imag(p1), d=real(p2), f=imag(p2): z=(a*(z^b))+(d*(z^f))+c, |z| <= 100 } END PARAMETER FILE=========================================

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FOTD 19-06-05 (Fine-Tooth_Combs [5])
by Jim Muth 19 Jun '05

19 Jun '05

FOTD -- June 19, 2005 (Rating 5) Fractal visionaries and enthusiasts: For today's fractal I ventured into the land of near-cubic Mandeloids. I began my quest by checking the broadened west valley of the Z^(3.0001)+C fractal. What I found there was a land of fine-tooth combs, a small view of which appears in today's image. I named the image "Fine-Tooth Combs", and rated it at a not-too-impressive 5. The FOTD ratings are continuing to slip, so I had best take action. I have several lines of investigation in mind that I have yet to try, which should bump up the ratings of the next few FOTD's at least a point or two. The near 23-minute render time of today's image is slow. The most efficient 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 Saturday weather was slightly warm for perfection, but the temperature of 84F 29C was mild enough to keep the fractal cats happy. Today is starting with clouds, and it is cooler. Unless it rains, the cats should be satisfied again. For me it looks like a day of doing nothing, though the grass is getting a bit tall, and if I start hearing hints, I might decide to trim it. The next FOTD fractal will appear in 24 hours. Until then, take care, and trust the unknown to remain unknown. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fine-Tooth_Combs { ; time=0:22:42.37--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotVE-VP passes=1 center-mag=-0.38519293800111350/-0.000066020518867\ 92/8.533333e+008 params=3.0001/0/0/0/0/0/2/0 float=y maxiter=15000 inside=0 periodicity=10 colors=000VlqQpqPopOnpNmoMloLkoKjnJinJhnIgmHfmGelF\ dlEclDbkCakCakNUSXN8WO9VP9UQ9TR9SS9RT9pNIqMArL3pJ9\ nIElHKjGPiFUaERVDPOCNHBLAAJ5TQ0kXFdXUYXhRXvLXqNVlO\ TgPRbRPYSNTTLPUJRVOTVSVVWXV`ZVd`VhaVl_WhZWdYX`XXXW\ YTVGPUPMZUMdYLjbLocLlhMimMfqNcvN`zNZuTXqZWldUhjScp\ R_vTYrUXoVWlWViXUfYTcZS`PrNXoOdlOkiPsfPzcP_MDA52D7\ 3P84U94cA5VB6SC6VD7XE7SG6OI6KJ6GL6CM68O64P6C`GKlQS\ xZQtZPqZNnZMkZKhZJeZHbZG_ZLY`QWaVVbZTccRehQfmOgqNh\ rQdrSarUYrXVrZRr`OpPUnDZXXJFo4JlCMjKPgSSe_VbgY`obV\ w`ZwZawXewVhwTlwRowPrwQltQfrQ`oQVmQPkQJhQDfQ7dR6fS\ 6hT6jU6lT4pU6mV8jW9hXBeYDb`AZZE`XHbWLdUOfSRhRRfPYl\ MYoO`nPbnRdnSfnUinVknXmnZnxYonYpdYqVWu2YrLZoc_lvgi\ ooghmcfk`diXcgUahbtfR`_BEeFHkJKzNMoDNa4NzPYzdKzmcd\ `Z_YVZYWYZYX__W_aV`cUaeTbgSbhRcjQdlPenOepNfrMgtL2Y\ L8`LDcLIfLNiLTlLYoLbr2am4bn5bnUapY`nb`mf`lhVcjPVkJ\ MmDDn84lFHkLTjSeiYqdbq_gq } frm:MandelbrotVE-VP {; Jim M. variable escape and power a=p1, z=p2, c=pixel+p3, b=sqr(real(p4)): z=z^(a)+c, |z| < b } END PARAMETER FILE=========================================

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FOTD 18-06-05 (Apricots, No less [6])
by Jim Muth 18 Jun '05

18 Jun '05

FOTD -- June 18, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's image is located in the same general area of the same parent fractal that held yesterday's image. Today however we are examining a point in a node on a railroad track farther from any of the areas of chaos between the two large midgets. I named the image "Apricots, No Less". That's what I was reminded of when I first saw it. When the time arrived to rate it, I could give it nothing higher than a 6. The image renders in a zippy 1-1/2 minutes, making it worth the little effort required to run the included parameter file. For the convenience of those who do not render, the already- rendered GIF image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Perfect 77F 25C weather Friday made the cats very happy. Unfortunately, such happy cats make a very dull story. Today is starting the same, so I expect more happiness from the cats. For me the work is still slow. I almost feel like taking another 3-day vacation, but I will resist the temptation. The next FOTD will appear in 24 hours. Until then, take care, and where are we? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Apricots_No_Less { ; time=0:01:22.55--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotVE-VP passes=1 inside=0 center-mag=-1.75396686926056700/+0.000592018702782\ 90/4062992/1/135/1.87370678486620257e-008 params=2.005/0/0/0/0/0/2/0 float=y maxiter=400 logmap=46 periodicity=10 mathtolerance=0.05/1 colors=000KPOKONKNMKMKKLJKKHKJGKIEKHDMGEOFEwMRzUPz\ dNzcLwPJxXHydGzlEztDHudFn`EhYDbVCXSAQP9KM8EJ78G62D\ 7HG7VI7iL7wNBpKEiHIbELWCOP9SI6VB3Y41VA9SGGQLNNRULW\ `JV_HV_GVZEVZDUYBUYAUX8UX7UXFPNMKEQVwNUvLUuIUuGUtD\ UtBUs9UsCRsEPsGNsJKsLIsNGsQDsSBsU9sVCnWEjWGfXIaYLY\ YNUZPPZRL_UH`WC`Y8a_4aa0alS_iQYgPWeNVbMT`KRZJQXIOU\ GMSFKQDJNCHLAFJ9EH8EKAENCHC9JC6LB3NB0TA8Y9Fc9Nh8Um\ 8`iDXfHUbLR_POXTLTXHQ`EMdBJh8Gl5Dm6An67o74o78nCBnH\ EnMImRLmWOm`SleVljYlo`ltZhsXerWbrU_qTWpRTpQQoONoNJ\ nLGmKDmIAlH7lG6kG5jaAwUJuNSsG_rLbnQdjVgfZibckZhnVl\ pRqsNvuJzwFuuGqtGmrGiqGdoG`nGXmGTkHPjHKiHGiHCiH8hH\ 4hHAhJBhLBgNBgPCgRCgTCgVCgXKg`RgcYdfdbif`jh_kiYlkX\ mmVnnUopSprRqsQqpOnmNkjMigMfdNdaOaZP_WQXTRUQSSNTPK\ UNHVKEWIBXF8YDDZEH_EMaEQcEVeEZgEciEgkElmEpoEnqJmsN\ kuRjwWhx_gycTzdEzeIz`MzWPzXRzXTzXVzXYzY_zYazYczYdz\ XdzWdzVdzUdzTdzSezRezQezP } frm:MandelbrotVE-VP {; Jim M. variable escape and power a=p1, z=p2, c=pixel+p3, b=sqr(real(p4)): z=z^(a)+c, |z| < b } END PARAMETER FILE=========================================

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FOTD 17-06-05 (Switched [6])
by Jim Muth 17 Jun '05

17 Jun '05

FOTD -- June 17, 2005 (Rating 6) Fractal visionaries and enthusiasts: The FOTD rating continues to slip. Two days ago it was 8; yesterday it was 7. Today's rating is down to a 6, which is only a little above average. I must do something about this tendency to degradation before it gets out of control. But even a 6-rated fractal is worth consideration, so before we set out in a new direction, let's consider today's image. For today's fractal we go to the Z^(2.005)+C near-Mandeloid and check the area around the large midget on the main stem. When we do this, the first thing we notice is that the stem has split far enough for the large midget to have divided into two totally disconnected midgets. Between the two midgets lies an area of mixed chaos and railyard features, filled with an abundance of sub-midgets. Today's scene is located near the point where one of the railroad tracks merges into an area of chaos. I named the image "Switched". After all, one thing a railyard is full of is switches. Actually, the scene has more chaos than railroad features, so a better name might have been something like 'Chaotic Express' or 'Journey to Chaos'. Regardless of the name, the image renders in only 4 minutes, which makes it worth the effort of rendering. And the completed GIF image is always available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> At this point, a bit of philosophy is included in the philofrac- tal version. Thursday was near perfect here at Fractal Central. The sky was fair, the temperature reached only 84F 29C, and the humidity was lower. The cats showed their satisfaction by spending most of the afternoon out of sight in the holly patch. Today is start- ing the same. For me it looks like another slow day. Slow days are enjoyable, but we don't want too many of them. Slow day or not, the next FOTD will appear in 24 hours, complete with fractal. Until then, take care, and take it easy. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Switched { ; time=0:04:25.02--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotVE-VP passes=1 inside=0 center-mag=-1.74880239140019400/+0.001111975741346\ 33/9.387609e+011/1/-147.6/-0.093535702628639486 params=2.005/0/0/0/0/0/2/0 float=y maxiter=1000 logmap=152 periodicity=10 mathtolerance=0.05/1 colors=000d3fb4c`5aZ6ZX6WV7TU8RS9OQALOAIMBGKCDIDAG\ E7FE5EH8EKAENCDQFDUHDWJC_MCbOCdQBgTBjVBmXAq_AtcAvh\ AxmLurVrvcpz_izVczRYzMRcILUDFP99Kmz1hv6crAZmEUhJPc\ NK_RFYWAX_5Wc4Vg8bmCirGpwIquJqsKqqLqoMqmNqkOqiHrnA\ ss3txXpozmfwictfaqbZn_XkXVhTSeQQcNOeLNfKNgJMhIMiHM\ gJQeKTdMXbN_`Pb_QfYSiWTlVVpTWsSXvWZsZ`qabndclgeikg\ gnhdqjbtl_wmYsnVonSkoPgoNcpK_pHXpFSaPNNZI9g_9ap9Wh\ RXahXVjX_lRd`LhPFfRJdTNbUR`WUZYYXZaV`eTbhRclPepOfs\ NilNlfNo_MrUMuNMxHMzBJuFHpIFkLDfOBbR8YU6TX4O_2Jb0F\ e5La9QYEWUI`QNfMRkIVpEYmJ`jObgTedYgabjZglWloTqqRvm\ UtiXsf_rbapZdoWgnSjmOlkLojHriEthCrZBpPAnF9m5Dk8HiA\ LhCPfETeGXcI_bKc`Mg_OkYQoXSsVUvUWrUToURlUPhUNeULbU\ JZUHWUFTUDSUFRUHQVIPWKOXLNYNMZOL_QK`RJaTIbUHcWGdX9\ eTEfNIgHMhCLiHKjMJkRIlWHm`GneGojFqgEsdEuaDw_CxXCzU\ BzRAzPAzM9zJ8zG8zE7zB6z86z69zABzDEzGGzJJzMLzONzQPz\ TRzVTzXVzZXzaizjhzkhzlfzi } frm:MandelbrotVE-VP {; Jim M. variable escape and power a=p1, z=p2, c=pixel+p3, b=sqr(real(p4)): z=z^(a)+c, |z| < b } END PARAMETER FILE=========================================

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FOTD 16-06-05 (The Emerald Kingdom [7])
by Jim Muth 16 Jun '05

16 Jun '05

FOTD -- June 16, 2005 (Rating 7) Fractal visionaries and enthusiasts: It is sometimes said that advertising is filled with subliminal messaging -- hidden images and sounds that act directly on the subconscious, turning the reader or viewer, without his being aware of it, into a proper consumer, who finds himself filled with unexplained and uncontrollable urges to go out and spend his hard-earned money on something he doesn't need and would be better off without. When I first heard this claim, I didn't believe it. After all, can't any child find hidden faces in clouds. The brain has a great ability to imagine familiar things in random shapes. I assumed that those who told me they saw dirty pictures in advertising illustrations simply had dirty minds. But even though I wasn't convinced that the subliminal stuff others told me about is actually there, I started looking for it in the ads in the magazines I read. I soon found enough to make a believer of me. Some of it is so obvious that it is hard to see how it can be considered subliminal. Advertising has many levels. It is filled with things that are not immediately apparent. And much of this hidden content is sexual in nature. The effect- ivness of this technique is another question, but it is curious that I see those who lived 40 years without a hand-held mobile phone now claiming that they could never survive without one. I mention subliminal advertising because I found myself scanning today's fractal for subliminal images. I found a few vague shapes that could be faces, but these are simply a demonstration that we can find faces most anywhere. Arrange any three splotches in a roughly triangular pattern and the mind will see two eyes and a mouth. Luckily, the only thing I am trying to sell is fractals. Today's image is a scene in the East Valley of the large midget on the main stem of the large midget on the main stem of the Z^(2.000000003)+C almost-Mandelbrot set. (HAH) I named it "The Emerald Kingdom" because of its colors. Once again, the image is so fractured that the breaks create the shape of the features. I rated the image at a 7. I would have given it an 8, but I have been doing quite a lot of work with similar images lately, and they are beginning to seem routine. The render time of 18 minutes is on the slow side. Full relief for the fractal delay may be found at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a high temperature of only 88F 31C, more breeze, less humidity, and more clouds, Wednesday was a far more pleasant day at Fractal Central, both for man and cats. The duo spent over five hours exploring the yard, and ended the day with a generous treat of tuna. Today is starting even cooler. It looks like another good day for the cats. The next in the near-endless series of FOTD fractal images will appear in 24 hours. Until then, take care, and incredibly, we learned enough to invent computers in classrooms without computers. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= TheEmerald_Kingdom { ; time=0:18:04.23--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotVE-VP passes=1 float=y center-mag=-1.78577107718842300/+0.000000042225034\ 24/5.817589e+009 params=2.000000003/0/0/0/0/0/2.2/0 maxiter=10000 inside=0 outside=imag periodicity=10 colors=000O06P29R7ASCCUHEVMFWRHYVI__K`cLahOclPdqRe\ uSgzUhzVjzWkzYlz_dzVWzROyMFsI6nE0hA0gE1eH1dK2cM2aP\ 4`S4_V6_W6Y_7Wa7Vd9Ug9SjARlARnCVkCYhC`gCcdCecCh`Ck\ _CnWCqVEuSExREzOEzMEzKEzIEzFEzEEzAEz9HzCKzFLzHOzKR\ zMSzOVzRYzU_zVazYdz`eyahxdkwgluhoskrrnsoownryluzkw\ zjyzhzwgoneeedVYcLPa9H`0I_1KY4LW7MVAOVEPUHRSKSRMUP\ PVPSWOVYMY_L``KcaKecIhdHkeFngEqhEsjCwkAyl9zn9zRch2\ zM1zL1zK0zI0zI0zH0yF0xE0wE0uC0uA0s90r90q70o60o40n4\ 0l20k10j00j00h00g00e00e00d00c40a90aE1`I4_M7YR9YVCW\ _FVcIUgKUkLShLSgLSdLRcLR`MR_MPWMPVMPSMOROOOOOMOMKO\ MIOMHLOKKOLIOOHOPEOSCOUAOW9OY6P_4Pa2Pc1Pe0Pg0Pj0Pk\ 0Pl0Sj2Uh7WgAYeF`dKacOdaRe`Vh__jWclVenUjqSnrRruPuw\ OyyMzzLzzKzzWyzguzsrzzozxlyzjwlguuerrcqk`nd_l_WkUV\ jOShORgMOeLMeLKdKIcKFaIE`HA`H9_F6YE4VE1UC0SC0RA0O9\ 0M90K70K70HA0HE0FF1FI4EL6CM9EPCESFFUIHWKHYMH`PHcSI\ dVIgYKj_IkaKndKqgKrI6FL1A } frm:MandelbrotVE-VP {; Jim M. variable escape and power a=p1, z=p2, c=pixel+p3, b=sqr(real(p4)): z=z^(a)+c, |z| < b } END PARAMETER FILE=========================================

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FOTD 15-06-05 (The Inner Limits [8])
by Jim Muth 15 Jun '05

15 Jun '05

FOTD -- June 15, 2005 (Rating 8) Fractal visionaries and enthusiasts: In today's fractal we take the Z^2.0001+C near-M-set and view it 1000 levels up the hyperspiral, at a point where the large filament extending southwest from the bud centered at -1.31 intersects the negative X-axis. We then zoom into a very tiny midget on the filament, very near the point where it crosses the X-axis. The most obvious thing about the image is that its extreme magnitude is causing it to break down. But in this case, the lack of mathematical precision actually makes the image. It does so by introducing a unique texture such as certain fine artists might strive for. Since we are beyond the limit of the depth it is possible to achieve with this particular fractal, I named the image "The Inner Limits". And yes, I *was* thinking of an old TV show, one of the interesting kind that is no longer produced. Curiously, if it were not for the breakdown, the image would have rated only a 7. As it is, the unique texture raises the rating to an impressive 8. The render time of 7 minutes is within reason, and may be eliminated entirely by downloading the completed gif image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> I think I'll declare next week a week where I name the FOTD fractals after some of the spam subject lines I receive that week. This morning I deleted about 25 of them. Most are pure gibberish, but some, such as 'why didn't you tell me', are truly creative, causing one to ponder 'who didn't I tell something to'. But if I do this, I'll pick only the most creative subject lines. Another hot muggy day Tuesday kept the fractal cats asleep most of the time. The high temperature of 93F 34C was simply too warm for normal holly-thicket activity. Luckily, the duo realized this, and were not troubled. Today is starting much the same. More of the same is likely from the cats. For me the work is still slow, but the fractals are as hot as ever. Until the next one appears 24 hours from now, take care, and the strange thing about fractals is that they can be both hot and cool at the same time. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Inner_Limits { ; time=0:07:07.70--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 mathtolerance=0.05/1 center-mag=-1.41545766839771800/+0.000001306788129\ 35/3.214947e+012/1/72.4887718120855027/0.011650530\ 4108602131 params=2.0001/0/1000/0 float=y passes=1 maxiter=1500 inside=0 outside=tdis periodicity=10 colors=000H9uGBqGCnFEjFFgEHcEI_DKXDLTCNQCKMBKIBKFA\ KBAK8CKBDKEEKHGKKHZNIZQJZSL_VM_YN_`P_cQ_dR_eS_eWXb\ _U_bUXdUSeRNeNIgJDjG9iHCiHFiHIiHLhHOhHRjHUlHXmI_oI\ bqIeqIhpIkpInpIqpIshXd`kqUzzRqqPiKN`PLTTJKYHCaFKXE\ RTDZOCeKBcJBbJB`IB_IBYHBXHBVGBUGATGARFAQFAOEANEALD\ AKDAJDFKCJKCOLCSLCXLB`MBeMBiMBeKAbIA_GAXFATDAQBANA\ AK8AG6AD5AA3A71A40A86KBCUFIcIOmLTv`nCZmEXmFVlGTlHS\ kIQkJOjLMjMLiNJiOHhPFhQEhREfSEeTEdTEcUEbUEaVE`VE_W\ EZWB`Z8ba5dd2ef7baB_YFXTKUPORKSPGRXERdDQlCQtBTo9Wj\ 8Ze7a`6cW5fR4iM3lH2oC1q80pI7oRDn`KmiQlrWhnUejTbfRZ\ bQWZOTVNRTLPSJNRHMPGKOEINCGMAFK9DJ7BI5AH49SJ8aY8kl\ 9hm9emAbnA`nBYoBVoBTpCQpCNqDKqDIrEFrECsEAsDBpCBmCB\ kBChBCfACcADa9DZ9DX8EU8ES7EP7EN8GO9IPAKQBMQCORDQSE\ STFUTGWUHYVI_WIaWJ_VJZVKXVKWVKVULTULSULRUMPUMOTMNT\ NLTNKTNJTPSOR`JTiEVr9`oLjtYotXsuWwuVrlcmcliVtQwKPt\ KPqKPnKPkKPiKPfKHItICwI7y } 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 14-06-05 (Four Score and More [8])
by Jim Muth 14 Jun '05

14 Jun '05

FOTD -- June 14, 2005 (Rating 8) Fractal visionaries and enthusiasts: With a bit of extra time to explore, I found a fractal in an almost-M-set that earns a rating of an excellent 8. The midget itself lurks at the center of the frame, and is beyond resolution, but the pattern around it is one I have never seen the likes of in the classic M-set. Apparently, there is a whole new world waiting to be explored in these almost-M-sets. The scene is located in the East Valley of the second large midget beyond the largest midget on the infinitely-divided main stem of the Z^2.000000002+C Mandeloid. The discontinuities in this area are very thick. Everything is well broken. But there are so many breaks that, instead of destroying the patterns, the breaks themselves create new patterns. In some places, the equally-spaced breaks give the effect of an image reflected off the ripples of a lake. The four-pointed 'star' in today's image is not composed of the usual equal-iteration bands. It is composed of discontinuities arranged in the shape of a star. True, the image was rendered with the outside set to 'tdis', but the image appears almost the same with the outside set to the standard 'iter'. With no real work to distract me, I was able to put extra effort into coloring the image. The result is an image that honestly rates the 8 I gave it. I named the image "Four Score and More". Maybe I was thinking of Gettysburg, where I stopped briefly on my holiday. The 17-minute render time is a bit slow, but the image is worth the wait. For those who would rather not wait, the image is posted on the FOTD web site, ready to be downloaded. The FOTD web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The four hot humid days since the last FOTD resulted in very lazy cats, though with the fractal duo it is hard to tell the difference. The only time they showed action was Monday evening, when a bolt of lightning from a distant thunder-shower unexpectedly struck nearby. No rain fell, but the sound was startling. The duo dashed to their security closet and hid there for nearly an hour. Today is beginning hot and muggy again. The cats will likely be lazy again. For me, there is just enough work waiting to prevent boredom from setting in before I get to the interesting scenes of fractal land. Unless I take another short vacation, which is unlikely, the next FOTD will appear in 24 hours. Until then, take care, and are dreams real? Really? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FourScore_and_More { ; time=0:17:32.10--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotVE-VP passes=1 center-mag=-1.94054474187531500/+0.000000011288478\ 33/8.752805e+012/1.0006/-5.04638103941016958/0.140\ 780121501218797 params=2.000000002/0/0/0/0/0/2.3/0 float=y maxiter=5000 inside=0 outside=tdis periodicity=10 mathtolerance=0.05/1 colors=000S00A_8C_9Da9EaAEaAGXCHSCJPDKKDKGEMDEO9EP\ 5GR2GR0HS0HU0JW0JW0JS0MR0O00P00S00U00W00X00_00a00c\ 00d00h01i02k14o25p16r08t09w0Ay0Cz0Ez0Gz0Iy2Kw5Mv8S\ tAQtDSrGUpJWoOYmR`kUakXci_chccffcdiccmccrckwdtzczz\ ezzgzzizykzvmzrozpqzmszkuzhwzdxzcyz_zzXzzWzzSzzRzz\ Gzw8zf0vR0mD0fE0cG0aH0ZH0WJ0UK0RM0PM0MO0JP0HR0ER0C\ S0AU08W06W0AR0EO0JJ0PG0UD2_95d69k2Gp0Kw0Pz0cz0dz0k\ z0fz0iy0kz0ky0pv0zz0yw0xu0ws1vq4uo5tm6sk9riAqZCpeE\ oQGnaHmSKkYMiOOgNMeMDcI8aE4_A0Y60W00U00P01K05F0A80\ EC0KG1PK0WP0_U0fZ0kc0rh0wm0pr0iv0cz0Zz0Sz2Mz4Hz8Dz\ EAzM8zU5za2zi0zr0zr0zr0zr0zr0zr0zr0dS0XO0PJ0HG0AC0\ 4905C16D28E29G4AH5CJ5DK6EM8GO8HP9JRAKSAMUCOWDPXDKS\ HGPKDMP9JS6GX2D_09c06h04k01p00t00w00r00m00h00c00Z0\ MJ0OM0OO0OP0OR0PU0PW0PX1PZ2Ra4Rc5Rd6Rf8Rh5Sc2S_0SX\ 0SU0SR0UO0UK0UH0UE0UCE_aofzkaviXohUhdPccMXaHRZDKXA\ GW6AS45R00P00M00K00J00O00 } END PARAMETER FILE=========================================

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Q. re [ FOTD 01-06-05 (Hexa-Something [5]) ]
by Hal Lane 11 Jun '05

11 Jun '05

############################################################## Jim, I enjoyed your 'hexic' fractal (below): [FOTD 01-06-05 (Hexa-Something [5])] but while zooming out until I could see the entire fractal I did not immediately see anything that had obvious three, four or five-fold symmetry along the way (though I'm afraid I was zooming out pretty rapidly): > Even more unexpected are the much smaller and near-perfect > quadratic, cubic and quintic midgets scattered invisibly through > the scene. How does one view 'invisible' midgets? - Were you able to apply a certain rendering method to render them visible? - Or does 'invisible' in this context just mean that they are too small to be seen at the scale of the Hexa-Something fractal? Also, are you using the phrase 'quintic midget' to refer to: - a midget that has five lobes, - one that has five-fold symmetry around it (the way Hexa-Something has six-fold symmetry) or - one generated by an equation with a variable raised to the fifth power? - Hal Lane ######################### # hallane(a)earthlink.net <mailto:hallane@earthlink.net> # ######################### >-----Original Message----- >From: Jim Muth [mailto:jamth@mindspring.com] >Sent: Wednesday, June 01, 2005 10:07 AM >To: fractint(a)mailman.xmission.com >Cc: philofractal(a)lists.fractalus.com >Subject: [philofractal] FOTD 01-06-05 (Hexa-Something [5]) > >FOTD -- June 01, 2005 (Rating 5) > >Fractal visionaries and enthusiasts: > >We start June with an enigma of the fractal variety. > >The thing at the center of today's image is a puzzle. It shows >all signs of being a hexic object, if that's the proper name for >equations of the 6th degree. But the parent fractal was created >by a combination of Z^3 and Z^5. Its formula contains not a >hint of Z^6. I guess that's how fractals are -- always doing >the unexpected. > >Even more unexpected are the much smaller and near-perfect >quadratic, cubic and quintic midgets scattered invisibly through >the scene. I will check further into this situation later >today. When the suspected unexpected is found to exist, can the >unsuspected unexpected be far behind. > >All this talk of mysterious things does not make a great fractal >however. Despite its mystery, today's image rates only an >average 5. I named the image "Hexa-Something" because, despite >the numerical confusion, there is something 6-ish about it. > >The render time of 2-3/4 minutes is true on the 10-year-old >computer with the balky fan, which I have dedicated to fractals. >On a more modern unit, the image will render in less than a >minute. But regardless of the speed of your computer, if you >can get onto the internet, you can download the completed image >from the FOTD web site at: > > <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> > >With a high temperature of 77F 25C and full sun, Tuesday turned >out to be one of the all time best days for the fractal cat duo. >They went out before noon and stayed out until after 8pm. As >far as I know, nothing disturbed their peaceful day in the holly >thicket. Today is starting with a few more clouds and a bit >cooler. After yesterday, the cats can't complain. > >For me it's work before play. The next FOTD fractal will appear >in 24 hours. Until then, take care, and do we place too little >or too much faith in the scientific method? > > >Jim Muth >jamth(a)mindspring.com >jimmuth(a)aol.com > > >START PARAMETER FILE======================================= > >Hexa-Something { ; time=0:02:45.16--SF5 on a P200 > reset=2004 type=formula formulafile=allinone.frm > formulaname=MandelbrotMix4 function=ident passes=1 > center-mag=-0.73359310668167350/+0.000008397796090\ > 92/1462787/1/-72.5/4.36410307197432346e-009 > params=1/3/-0.2/5/-0.15/0 float=y maxiter=5000 > inside=0 logmap=29 periodicity=10 > colors=000URzSUzPXzM_zJbzHezKgzMizOkzQmzTozVqzXszZ\ > uzThzNXzHLcC95z5Jn7Mc9PWARSCUNDWJFZFG`dP3cCh`QWYcJ\ > Wp7StBOzFKzzGzzDpRHhQKaPNVOQNNTGMW9M`BKdCIiDGmFFrG\ > DvHBzIAvKFrMJnONjQRfSVbUZZVbDVxk5fTXTAcFFfMJVTOG_S\ > 2fT9_UGUVNNWUHX`AYf4`d6ba8e_BgYDjVFmTIoQKrOMtMOpLR\ > mLUjLXgK_dKaaKdZKgWJjTJmQJoNIrKIuHIxEIzGLyINxJQxLS\ > wMVwOXvP_vRauTdtUftWisXksZnr_prasqbuqatm`tj_tgZsdY\ > saXsZWrWVrTUrPTqMSqJRqGQpDPpAOp7Np4LoFJnQIm`KlkMku\ > OhrQioSkmUmjWohYqe_scau`cvZewWgxUiySkzQlzOmzMnzKoz\ > IpzGqzErzCszBtzBuzAvzAwz9xz9yz8zz8zz8zz7zz7zz6zz6z\ > z5zz5zz5zzCzzJzzQzzXzzczzjzzhzzgzzfzzdzzczzbzz`zz_\ > zzZzzXzzWzzVzzTzzSzzRzzQzzPzzPzzOzzOzzOzzjzzgzzczz\ > _zzXzzUzzRzzOzzLzzJzzBzz4zzBzzIzzPzzWzzbzzizzpzzmz\ > zkzzhzzfzzYzz`zzczzfzzizzlzznzzmzzmzzlzzlzzmzznzzo\ > zzpzzqzzqzzrzzrzzszzszztzztzzuzzuzzuzzrzzozzlzzizz\ > gzzdzzazzZzzWzzUzzYzzCzzE } > >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========================================= ############################################################## -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.323 / Virus Database: 267.6.7 - Release Date: 6/10/05

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A short FOTD break
by Jim Muth 11 Jun '05

11 Jun '05

Fractal fans: There will be no FOTD until Tuesday June 14. The real work at Fractal Central is totally caught up, the fractal cats are well cared for, and I am using the opportunity to take a well-earned (IMO) three-day vacation to some place not yet fully determined. Until Tuesday, take care, and where do fractals go? Jim M.

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Interesting features near Jim Muth's FoTD for June 7, 2005 - Double Trouble
by Hal Lane 11 Jun '05

11 Jun '05

######################################################## Jim Muth's statement in the text for his Fractal of The Day for June 7, 2005: "The area is filled with features never before seen (at least by me) in the M-set." inspired me to look for additional interesting features near his FoTD. I found an interesting area and include its parameter file below. I call it 'Double Trouble' for obvious reasons. At 3 minutes and 20 seconds on a P400 for a 1024x768 image its relatively quick to create. The last line of the 'text encoded' color map in the parameter file below really gave me a start when I first looked at it. It looks like a 'quoted' (>) email message fragment (something like 'new lemur') ending with the abbreviation for 'In my opinion' (Imo): >PnuLmrImo - Hal Lane ######################### # hallane(a)earthlink.net # ######################### START PARAMETER FILE======================================= Double_Trouble { ; Hal Lane Jun 11 '05 3:20 P400 1024x768 ; Zoom near Jim Muth's FoTD Jun 7, '05 ; I also rotated Jim's color map. reset=2004 type=formula formulafile=pastengo.par formulaname=mandelbrotve-vp passes=1 center-mag=-1.99994352072025700/+0.00000000000972631\ /1.609016e+009/1/-92.4999886542729826/4.617015643545\ 30247e-005 params=2.0000000003/0/0/0/0/0/2.01/0 float=y maxiter=600 inside=0 periodicity=10 sound=off colors=000Fll<3>3j`0jZ7eWE`TLXQ<3>bQegPikNmoMq<2>xI`\ <3>gElbDoZCrVBuRAw<3>Q7wgSuyls<3>PutGwtKvl<3>_rIbrBV\ gEAPzAKzAAz<10>AAo<3>AAkAAiAAg<4>AAYAAWAAU<3>AAM97K7\ 3I<3>c77k75lE4<3>pb3qh3rk8<3>utR<3>NRCEK86D5<3>L9UP8\ `S7fW6lZ5r<3>PGtMJtKMtIOt<3>R7`T3WcJPmZJwmDukIsiN`PK\ I4I<3>GW8Fb5Fi3un6<3>rISqAYq2b<2>f2p<3>oLaqPZjSWcUTY\ WR<3>AEuTGYkHA<3>hFQgEUgEY<3>rGXtHXwHXyHXjRSX`N<3>aN\ DbJBcG9<2>LryOUk<3>vO9<3>cxRrOc<3>POnIOpGUr<2>Ahw`cg\ <3>H8RcZMyxI<3>EUJ2NJ6SG<2>GeAJi8OhE<3>ddaicgmbmqas<\ 3>rkmrmlrok<3>tlwtlytku<3>thgnaaAI31C0<3>I9IM8NQ8R<2\ >PnuLmrImo } frm:MandelbrotVE-VP {; Jim Muth real(c),imag(c) a=p1, z=p2, c=pixel+p3, b=sqr(real(p4)): z=z^(a)+c, |z| < b } END PARAMETER FILE========================================= ########################################################### -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.323 / Virus Database: 267.6.7 - Release Date: 6/10/05

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FOTD 09-06-05 (Daisies in the Field [6])
by Jim Muth 09 Jun '05

09 Jun '05

FOTD -- June 09, 2005 (Rating 6) Fractal visionaries and enthusiasts: Alert: the next paragraph is non-fractal in nature. The fractal fun starts in the paragraph after the next. When I opened my e-mail this morning, I noticed a letter from Earthlink, my ISP, informing me that my password had been changed and I would not be allowed to access my e-mail until I checked in at their web site and re-entered my info. Curiously, if this were actually the case, I never would have been able to access my mailbox to read the letter telling me that I could not access my e-mail. And what right does Earthlink have to change my password? I thought it was up to me to decide if and when to change it. I get so many of these fraudulent letters that I am beginning to suspect we have a new industry emerging. At least none of them complain about the hot weather. I named today's fractal image "Daisies in the Field" because that's what it reminds me of. The image is a pleasant diversion from the world of winning phony lotteries, phishing scams, and hot weather. It is a picture of an invisible midget. Yes, such things actually do exist, and we have one at the center of today's frame. To see the invisible midget in all its non-glory, simply change the inside fill to 'numb' and re-calculate the fractal. Don't wait too long, for nothing will appear but a blank screen. The midget and the whole parent fractal as well have become invisible. Everything has evaporated. Sometimes these 'evaporated' versions are better than anything done in the normal manner. At other times they are worthless. In today's case, the evaporated version is one of the better ones, though several other versions are good enough that they could have been chosen instead. The formula combines Z^(-1.4) and Z^(-4.1) before adding (1/C) to produce a typical 'inside-out' parent fractal. The rating of 6 and render time of under 5 minutes make it all marginally worth the effort. The completed image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A temperature of 93F 34C on Wednesday here at Fractal Central kept the cats in the coolest spot they could find, which happened to be their window shelf, from where they could watch birds and keep cool at the same time. I kept my cool by finishing some work and not worrying about global warming. Today is starting the same, so the duo will likely have another day by the window. The next FOTD will appear as always in 24 hours. Until then, take care, and wait for the new age. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= DaisiesInTheField { ; time=0:04:47.81--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+2.22664453241798800/-1.722164951309734\ 00/7704166/1/-57.5/-8.9860445882036788e-006 params=-1/-1.4/-0.4/-4.1/0/1e+100 float=y maxiter=1000 inside=bof61 periodicity=10 colors=000Hi5Fi5Gb4HW4IQ3JJ3KC2L62QM7V`B_oF`jI`fK`\ bM`ZORVWTTjVSxZUpbWifYbj_Wn`PerNbgL`XJYMINV5KV5HV5\ DU5AU57U54U5Ynk`m8WiHRfPNcXI`dEYlESiEMfFNbGOZHPWIQ\ SJROKSLN`VQhcHNS92H8CM8MQ8WVleZmoczxgco_sgTGZLIREK\ J7OHASGCWFE_DGcCIgBKhDViFziHzrMzoJzmHzjFkhDhfBec9b\ a7__5XeJckXiqjpwxvlgfbRSVOQNLPGIO8FN1CM6GRBJVFN_KQ\ cPUhTXlS_eRb_QdUPgOOiINlCNn6ToBZoGdpLipPoqUuqZzqby\ lcyhdycey_eVSU1KJ3LP5MU6MZ8NdAOiBOnYKhtGboN`jT_fZY\ aeXYkVTqUPwTPvQPvNPvLPvIPvGPvDPvBKlIFbOATV5J`19fcc\ 1UyjOqcJjXEcQ9XKDQMGJOJCPC6E614955C96FD7IG8LK9OOAR\ SBUVBWZAXa9Ze7_h6al5bo4ak3ah3ad3aa3aZ3aV3aS3aO3aL3\ aI3aE3aB3a83ZB9XDEVGKTIPRKUON_MPdKRiIUoGWtEYyXlpoz\ glzeizcgzbdz`bz__zYXzWVzVSzTQzSLoUHeVDVW9LY5AZ10_8\ 3WE5SK7PO8QR9RU9SYAT`BUcBUfCVjDWmDXpEYsEYmKXgPWbUW\ aSXaRXaQXaOXaNYaMYaLY`JY`IY`HZ`FZ`EZ`DZ`CZcBYeAWhA\ UPZTPaNPcHPfBPh6Ni5Li5Ji5 } 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 08-06-05 (Fractalville [7])
by Jim Muth 08 Jun '05

08 Jun '05

FOTD -- June 08, 2004 (Rating 7) Fractal visionaries and enthusiasts: Alert: the topic of the next three paragraphs is political rather than fractal. Those who are bored with politics should skip ahead. The day started with fractal lady complaining of the heat, telling me that global warming is getting bad, and they had better do something about it before drought kills the crops and we all starve. I tried to convince her that she is complaining of a temporary localized hot spell in the Mid-Atlantic region of North America, not a permanent world-wide rise in temperature, but being a proper liberal thinker, she knows that the current heat is caused by the evil big greedy corporations that care only about their profits and not one bit about the environment or the poor people who work for them. I ended the conversation by telling her that liberals (whatever they are) mean well, but they had best get their facts straight before offering irrelevant solutions to monumental problems. Catastrophic global warming is a real possibility, but a single early summer warm spell in Maryland is not a sign that it is happening. The real problem is that the human population is suffering runaway inflation and under-developed countries are starting to develop. Forcing the big corporations to care about the environment and pay their workers more money, as she would like the government to do, would not end the population explo- sion. It certainly would cause prices to rise and inflict more hardship on the poor however. The most effective means of controlling population growth is economic development, but the planet has too few resources to bring its present population of 6,200,000,000 to the economic level now enjoyed in the U.S. Mankind is most likely as doomed as F. Lady fears, but from unavoidable over-population rather than a global warming that might or might not be in progress. What better way to cure a downer of a morning than with a good fractal. And today's image is well above average. (At least IMO.) Today's image is actually beyond the range of resolution, but with such a naturally broken-up image, the slight extra break-up caused by the math failure is hardly noticeable. The 'mathtolerance' entry that permits such a magnitude to be reached is now automatically included in the Fractint parameter files. To find today's very slow image, I went to the southern shoreline of the broadened East Valley of the large midget on the negative stem of the Z^2.0001+C Mandeloid, and examined an unusually fragmented area. What I found there is worth being chosen FOTD for June 8. For some forgotten reason, I named the image "Fractalville", not to be confused with Frackville, an old coal-mining town in central Pennsylvania. Then I rated the scene at a 7, which might be a bit of a gift. Unfortunately, the image is an unusually slow one, taking almost two hours to complete on my old machine. Fortunately, I have sent the completed image on ahead to Paul at the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it is posted, ready for download. A high temperature of 88F 31C on Tuesday kept the fractal cats on the shady porch all afternoon, where they stretched out to take it easy. They must have had a thoroughly satisfactory afternoon, for when they came in, they asked for no tuna. My day was average. Today is starting even warmer; I expect similarly lazy cats. The next FOTD will appear right here in 24 hours, more or less. Until that apocalyptic moment, take care, and if the end comes, can a new beginning be far behind? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractalville { ; time=1:57:50.12--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotVE-VP passes=1 center-mag=-1.74990797821024600/-0.000452782810913\ 32/2.790644e+013/1/82.5/-0.0271040593762201867 params=2.0001/0/0/0/0/0/2/0 float=y maxiter=32767 inside=0 periodicity=10 mathtolerance=0.05/1 colors=0003vL4vK4uJ5uI5uH6tG6tG7tF7tE8sD8sC9sB9rAA\ r9Ar9Br8Bq7Cq6Cq5Dp4Dp3Ep2Ep2Go1In1Jn1Lm1Ml1Ol1Pk1\ Rk1Sj1Ui1Vi0Xh0Yg0_g0`f0bf0ce0ed0fd0hc0ic0jb2kb3kb\ 4lb5lb6ma7ma8na9naAoaBp`Dp`Eq`Fq`Gr`Hr_Is_Js_Kt_Lt\ _MqZPoZRmZUkZWiZYgZ`eZbbYd`YgZYiXYkVYnTYpRYrP_oO`l\ MbiLcfKedIfaHhZFiWEkTDlRBnOAoL8qI7rF6sD6pE6mE6jF6h\ F6eF6bG6_G6YG6VG6SF6PE6NE6KD6HD6EE6CE69E65F65FA4FK\ 9HP3IU7KXAL_EMbHPeMQhQSkVUnZWq`Yte_wi`zmcypdzsezpb\ xm_vkXvhUueRtcOs`MrYJpUGoQDjNAeJ7eH5iFBmIHqNNpTToY\ Ynacmiilqokstirqhlnfkleiicdfbcd`ba_aZY`XX_UVZRUYPS\ XMRWJPVHOUEMTBLS9RWBX_DbcFhgHnkJtoLzrNyoJylFxiBxf8\ vdAucCsbEraFp`Ho_JnYLlXMkWOiVQhUSgTThVShXShYSh_Rha\ RhbRhdQhfQhgQhiQikPilPinPipOiqOisOiuNivNixNiyNixPi\ xRixTixVixXixZix`ixbixdiwfiwhiwjiwliwniwpiwriwtiwu\ jusktqlsomrmnqkooipngqmerlcskatj`pibmhdjgfgghdfjae\ lZdnWdobSWhFDeJEcMEaPE_SE } frm:MandelbrotVE-VP {; Jim M. variable escape and power a=p1, z=p2, c=pixel+p3, b=sqr(real(p4)): z=z^(a)+c, |z| < b } END PARAMETER FILE=========================================

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FOTD 07-06-05 (Twisted Donuts [7])
by Jim Muth 07 Jun '05

07 Jun '05

FOTD -- June 07, 2005 (Rating 7) Fractal visionaries and enthusiasts: Who ever thought that twisted donuts could be found in a fractal? Certainly not me. I expect to find twisted donuts in a bakery. But something about today's image reminds me of twisted cinnamon donuts, so I named it "Twisted Donuts". Donuts are not the healthiest food available. I eat them because they taste good, and not to be healthy. Fractals on a computer screen are rather useless, but I enjoy them anyway, because they are fun and they supply the adventure that it is now both too late and too early to enjoy otherwise. Today's image is a scene near the tip of the main stem of the Mandelbrot set. But it is not really the Mandelbrot set we are examining; it is only a look-alike. The iterated expression is Z^2.0000000003+C, which produces a fractal virtually indistin- guishable from the M-set, except along the negative stem, which is where today's image lies. A couple outzooms will reveal that the main stem, which at the angle of today's image runs northwest-southeast, has split into two, and that today's scene lies between the two. The area is filled with features never before seen (at least by me) in the M-set. It is this kind of thing that I was searching for in yesterday's simple image, but never found. I really could have spent a bit more time on the coloring, so the rating of a 7 seems justified. The render time of under 2 minutes is plenty fast, at least for those with Fractint-ready machines. Those with Fractint-deprived units can still see the image by downloading it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it is, or soon will be, posted. The Monday high temperature of 91F 33C was a bit much for the fractal cats, who cut their outdoor time to under 30 minutes before asking to come inside. A lively thunder-shower came up at 7pm and sent Thomas scurrying for cover. Tippy braved the action on the window shelf. Today is starting almost as hot. I expect the cats will have a similar day. For me, the day promises to be just another one to be forgotten as soon as it has ended -- except for the trip to the local donut shop, that is. The day's FOTD will live on however. And the next in the endless series of FOTD images will appear in 24 hours. Until then, take care and be iterative, but don't eat too many donuts. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Twisted_Donuts { ; time=0:01:52.82--SF5 on a P200 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotVE-VP passes=1 center-mag=-1.99994352213414000/-0.000000000515175\ 04/5.741663e+009/1/-50/-4.15090305853904606e-005 params=2.0000000003/0/0/0/0/0/2.01/0 float=y maxiter=600 inside=0 periodicity=10 colors=000AA9EAEI9IM8NQ8RPNaP`kPnuLmrImoFllCli9kf6\ kc3j`0jZ7eWE`TLXQQVUUTYZSabQegPikNmoMqrKkuJexI`sHc\ oGfkFigElbDoZCrVBuRAwQ9wQ8wQ7wQ7wgSuylsootfqtYstPu\ tGwtKvlOudStYWsQ_rIbrBVgEAPzAKzAAzAAyAAxAAwAAvAAuA\ AtAAsAArAAqAApAAoAAnAAmAAlAAkAAiAAgAAeAAcAAaAA_AAY\ AAWAAUAASAAQAAOAAM97K73IG4GO5DW6Ac77k75lE4mK4nQ4oX\ 3pb3qh3rk8smDtpIurNutRllNceJWZGNRCEK86D5ACCEBIHAOL\ 9UP8`S7fW6lZ5rW8sUBsREsPGtMJtKMtIOtLJoNFjPBeR7`T3W\ cJPmZJwmDukIsiN`PKI4IHBFHIDGPAGW8Fb5Fi3un6teCsYHsQ\ NrISqAYq2bm2gi2lf2pi7lkChmGeoLaqPZjSWcUTYWRSRZMNfG\ InAEuTGYkHAjGEiGIiFMhFQgEUgEYjFXmFXoGXrGXtHXwHXyHX\ jRSX`NZXK_UI`QGaNDbJBcG9XTRRehLryOUkXSaeRSnPIvO9qY\ ElfIgoNcxRrOcjOfcOiWOkPOnIOpGUrEZtCcvAhw`cgWWbROZM\ GVH8RcZMyxImpJahJQaJEUJ2NJ6SG9XED`CGeAJi8OhESgKXfQ\ `eWddaicgmbmqasrdqrfprhorkmrmlroksnnsmqtmttlwtlytk\ utjqtinthjthgnaaAI31C06B5 } frm:MandelbrotVE-VP {; Jim Muth real(c),imag(c) a=p1, z=p2, c=pixel+p3, b=sqr(real(p4)): z=z^(a)+c, |z| < b } END PARAMETER FILE=========================================

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Re: FOTD 01-06-05 (Hexa-Something [5])
by Jim Muth 07 Jun '05

07 Jun '05

At 02:18 PM 6/4/05 -0400, Hal Lane wrote: >How does one view 'invisible' midgets? Were you >able to apply a certain rendering method to render >them visible? Or does 'invisible' in this context >just mean that they are too small to be seen at the >scale of the Hexa-Something fractal? Although there are such things as invisible midgets that need special rendering to make them visible, the midgets I referred to are simply too small to be seen at the scale of the FOTD fractal. >Also, are you using the phrase 'quintic midget' to > refer to: > - a midget that has five lobes, > - one that has five-fold symmetry around it (the way > Hexa-Something has six-fold symmetry) or > - one generated by an equation with a variable raised to the fifth power? By a 'quintic midget' I mean a midget that is generated by an iterated fifth-power expression such as Z^5+C. These midgets have four lobes and five-way symmetry. Jim M.

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FOTD 06-06-05 (Simply Simple [4])
by Jim Muth 06 Jun '05

06 Jun '05

FOTD -- June 06, 2005 (Rating 4) Fractal visionaries and enthusiasts: Today's image is not the ultimate goal of Sunday's fractal adventure, but it is an interesting scene that appeared on the way. The ultimate goal will appear as the FOTD for June 07. Since I have not yet reached that goal, I have little idea of what I will find there. I know only that it should be interesting. The formula is a new one that calculates Mandelbrot fractals with both variable escape radii and powers of Z. I might make a few speed-up changes in it before making it permanent, but it works well enough as it is for today's image. The name "Simply Simple" means nothing other than what it implies. Of course, there is nothing simple about fractals, which are some of the most complex things found in nature, if indeed nature is where fractals exist. (They might exist only in the mind.) The rating of a 4 is below average. Since the image is only a way-station, I could rate it no higher. The below-average rating is made up for however by the render time, which is a sizzling 35 seconds. For the convenience of those with handicapped (challenged in PC language) computers, the completed image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> 88-degree (31C) heat and high humidity kept the fractal cats confined to the shade of the holly thicket on Sunday. But at least they were outside, which is all that cats of the fractal variety need to keep them happy. Today is starting even warmer and more humid. I expect more of the same. The next FOTD will be ready in 24 hours. Until then, take care, and don't sweat it. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Simply_Simple { ; time=0:00:35.26--SF5 on a P200 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotVE-VP center-mag=-1.99998588087103100/+0.000000000314646\ 81/1.730527e+010/1/-145/0.00152484032409423709 params=2.0000000001/0/0/0/0/0/2/0 float=y maxiter=600 inside=0 outside=summ periodicity=10 colors=000GoSCqO8rK4tG0uC8oGGjJOdNV_QbUUjPXrJ`yEcw\ B`u9Zt7Xr5Vp3To1RG14M6CRBKVGHYLFaQDdUBhZ8kc6oh4rl2\ ki7dfBZdFSaJLZOFXS8UW2S_JLTZFMn9FjBEgDDcFCXHBUAAPA\ 9AA8`TJjYUtbctx0mv4ft8`sBUqFNoJHnMJjKKfJMbHNZGOVFL\ VIIVLGVODVRAVU8VX5V_3VbAYeH`hObkVenahqgjtaduWZvQUw\ KOxEIy9DzW_fruNVjU8_`PPbdEcaCa_A_Y8ZW7XU5VS3UQ1SO0\ RK1VH2YE3`A4c75f46i8R1CgBGxLMpRRiWXbaaWfgPllIqqBvk\ GqeKm_OiUSdOW`I_XCcTGfVKiWOlYSnZWq`_tacvbdrZenWfjT\ gfQhbMiZJjVGkSDjXDjaDifDikDhpDhtDZdOPPYG9gG8fF7fE6\ fD5fD4eC3eB2eB1eC2cC2bC3aC3`C4_C4YC5XC5WC5VDDAC6UC\ 6SC7RC7QD8PD8OD9ND9LD9KDAJDAIDBHDBFDCEDCDDDCDDBM3r\ L4oL4mK5kK5iJ6gJ6eJ7cI7`I8ZH8XH9VG9TGARGAPFBMFBKEC\ IECGDDEDDCjQjiPihPhhPhgPgfOffOfeOeeOddNdcNccNbbNbb\ MaaM``M``M__MZ_LZZLYYLXYLXXKWXKVWKVVKUVJTUJTUJSTJR\ SJRSIQRIPQIPQIOPHNPHNOHMNHLNGLMGKMGJLGJKGIKFHJFHJF\ GIFFHEFHEEGEDGEDFDCEDBLmX } frm:MandelbrotVE-VP {; variable escape and power a=p1, z=p2, c=pixel+p3, b=sqr(real(p4)): z=z^(a)+c, |z| < b } END PARAMETER FILE=========================================

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FOTD 05-06-05 (Pink Armadillos [6])
by Jim Muth 05 Jun '05

05 Jun '05

FOTD -- June 05, 2005 (Rating 6) Fractal visionaries and enthusiasts: Are armadillos found in Mexico? Yes. Are armadillos found in fractals? One can find anything they wish in fractals. I found pink armadillos in today's image, and I found them without having a single thing to drink. The parent fractal is the Z^2.00000005+C near-Mandelbrot set. The location of the scene is on the main stem, in the East Valley of a small midget just west of the large midget. When the image is seen, the reason I named it "Pink Armadillos" will be apparent. The rating of a 6 is not quite enough to justify the 27 minutes required to render the image, but the image is certainly worth the minute or two required to download it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The clouds slowly cleared away during the day on Saturday here at Fractal Central, letting the temperature rise to 77F 25C and keeping the cays happy. Today is starting sunny and quite warm. The cats should be pleased. For me it looks like a slow day. The next FOTD will appear in 24 hours. Until then, take care, and be lucky. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Pink_Armadillos { ; time=0:27:26.23--SF5 on a P200 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN center-mag=-1.78577221928100200/+0.000000508068675\ 42/4.308652e+009/1/180 params=2.00000005/0/0/0/0/0 float=y maxiter=18000 inside=0 periodicity=10 colors=000kljmkjokirkitkhvkhpiakgWeeP`eJVdCQd6Le0V\ fBdjLnoWwnevnbvi_ucYuZVsUTqQSoNQmKPhHNcDL_AKY7JX4I\ O1IG7KIENFLPJSSNZVReXVl_Zs`YsaYobYkcYhdYdeX_fXVgXS\ hXOiXLjWIkWGlWDmWAnW7oW5pY7k_9gaBccDZeEVgGRiIMkKIm\ MEnNAFhEKfLPdSTbYY`da_jDxNHtQKpSNmURiWUeYXb__ZacVd\ fSfiOhlKjpHlsDnv9py6roDlfJgXQbOWYMKgK8qLEjMJcMOYNU\ ROZKOcEQbDSbDUaDVaDXaDZ`D_`Ca_Cc_Cd_CfZChZCiZCjZCk\ _Ck_Cl_Cm_Cm_ClZDlZDlZDlZDlZDlZEbZQlZElZElZEkZEkZF\ kZFkZFkZFkZFkZGkZGkZGjZGjZGjZGjZHjZHjZHjYHjYHjYIiY\ IiYIiYIiYIiYJiYJiYJiYJiYJiYJhYKhYKhYKhYKhYKhYLhYLh\ YLhYLgYLgYMgYMgXMgXMgXMgXNgXNgXNfXNfXNfXNfXOfXOfXO\ fXOfXOfXPeXPeXPeXPeXPeXQeXQeXQeXQeXQnsOmrPmrPmrPmq\ PmqPmqPmpPmpPlpPloPloPloPloPlnPlnPlnPkmPkmPkmPklPk\ lPklPklPkkPkkPjkPjjPjjPjjPjiPjiPjiPjiPihPihPihPigP\ igPigQifQifQifQheQheQheQheQhdQhdQhdQhcQgcQgcQgbQgb\ QgbQgbQgaQgaQgaQf`Qflkhlk } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FW: [philofractal] FOTD 02-06-05 (Fourth of July [7])
by Hal Lane 04 Jun '05

04 Jun '05

Jim, Your FOTD 02-06-05 (Fourth of July [7]) is a very nice fractal. - Hal Lane ######################### # hallane(a)earthlink.net <mailto:hallane@earthlink.net> # ######################### >-----Original Message----- >From: Jim Muth [mailto:jamth@mindspring.com] >Sent: Thursday, June 02, 2005 12:07 PM >To: fractint(a)mailman.xmission.com >Cc: philofractal(a)lists.fractalus.com >Subject: [philofractal] FOTD 02-06-05 (Fourth of July [7]) > >FOTD -- June 02, 2005 (Rating 7) > >Fractal visionaries and enthusiasts: > >Yes, I know the July 4th holiday is still one month away, but >today's fractal reminds me so much of a fireworks display that I >could not resist naming it "Fourth of July". > >The parent fractal is the Z^4.000001+C almost-quartic Mandeloid. >The scene is located in the east valley of the large midget on >the negative real axis. Just as in the Z^2.000001+C almost- >Mandelbrot set, the area resembles an explosion in a railroad >switching yard. > >The rating of a 7 seems justified, at least to me. The render >time is short enough to make the task almost a pleasure. But >there are some machines out there that dislike the Fractint >program and its crusty old video modes. Those with such new- >fangled machines may download the completed image from the FOTD >web site at: > > <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> > >The near-perfect weather conditions here at Fractal Central on >Wednesday delighted the fractal cats, who spent the entire >afternoon lounging in the shade of the holly trees. The trees >have lost a lot of their leaves since last year at this time, >when they were covered with 17-year cicadas who love to deposit >their twig-killing eggs in holly trees, but they still give >enough shade to keep the cats cool on 79F 26C days such as >Wednesday. This morning, the clouds in advance of the next rain >system are moving in, but the rain is expected to hold off until >sunset. It will probably be a good day for the cats. > >For me, it will likely be another reasonable day. The next >fractal will appear in 24 hours. Until then, take care, and >search for the reason. > > >Jim Muth >jamth(a)mindspring.com >jimmuth(a)aol.com > > >START PARAMETER FILE======================================= > >Fourth_of_July { ; time=0:02:23.63--SF5 on a P200 > reset=2004 type=formula formulafile=slices.frm > formulaname=MandelbrotN passes=1 > center-mag=-1.21883450232609400/+0.000001179804919\ > 48/5.071115e+010/1/152.5/-5.20667307325056727e-006 > params=4.000001/0/0/0/0/0 float=y maxiter=15000 > inside=0 logmap=81 periodicity=10 > colors=000NBKMCKLDKKEKJFKIGKHHKGIKFJKFJLEKMDKNCLOB\ > MPBMQANR9NS8OT8OTAQUCRWETYGU_IVaKXcMYeN_gPaiUckZem\ > cgohjqmnsrruuwwwzzzzzzzzzzzzzzzzzzzzzzzZzbwzXwzRwz\ > L5zG`zjZzhYzfWzdVwbUt`SqZRoXPmWOkUNiSLgQKeOIcMHaKG\ > `JI_MJ_PK`RL`UMaXOaZPbaQbdRcfSciUdlVdnWeqXetYevWcq\ > VbmU`iT_dSY`QXXPVTOUONSKMRGLQCaRLUQSMQYEQcMwdJtbHr\ > `FoZDmXBkV9hT7fR5cP3aN1_L3YK5XK7WK9VJAUJCTJESIGRIH\ > QIGRKGSLFTMFUNEVOEWPDXQDYRDYSG_QJaPMcOPdNSfLVhKXiJ\ > _kIbmGenFhpEkrDmsCjoEhkGfhHddJb`L`YMZUOXRPVNRTJTRG\ > UPCWN9X`NWm_VlaXkcZkd`lc_mc_BRJBROBQTAPYAPbAOgAOlB\ > RjBUhCXfCZdCacDdaDf_EiYElXEnVFqTFtRFvQJvSNvTRvUVvV\ > ZvWbvXevYfrXgnXhkXigWjcWk`WlXVmUVnQVoMUpJUqFUrBTs8\ > Tt4Tt1Tq3Pn4Ll6Hi7Dg99dA5bB1_E3YG5WI7TK9RMBPODMRFK\ > THIVJFXLDZNB`P9bQB`TCZWEXYFW`HUcISeKRhLPjNNmOMpQKr\ > RIuSHwRKqQMlPOfOQaNSXMURLWMKYHJ_BIa6Hc1LY5OS8SNBVH\ > EZBHa6Kb9LcBLcEMdGMeJNeLN } > >frm:MandelbrotN {; Jim Muth >b=p1, z=p2, c=p3+pixel: >z=z^(b)+c, >|z| <= 16 } > >END PARAMETER FILE========================================= -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.323 / Virus Database: 267.6.1 - Release Date: 6/3/05

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Jim, Q. re [philofractal] FOTD 01-06-05 (Hexa-Something [5])
by Hal Lane 04 Jun '05

04 Jun '05

############################################################## Jim, I enjoyed your 'hexic' fractal (below): [ FOTD 01-06-05 (Hexa-Something [5]) ] but while zooming out until I could see the entire fractal I did not immediately see anything that had obvious three, four or five-fold symmetry along the way (though I'm afraid I was zooming out pretty rapidly): > Even more unexpected are the much smaller and near-perfect > quadratic, cubic and quintic midgets scattered invisibly through > the scene. How does one view 'invisible' midgets? Were you able to apply a certain rendering method to render them visible? Or does 'invisible' in this context just mean that they are too small to be seen at the scale of the Hexa-Something fractal? Also, are you using the phrase 'quintic midget' to refer to: - a midget that has five lobes, - one that has five-fold symmetry around it (the way Hexa-Something has six-fold symmetry) or - one generated by an equation with a variable raised to the fifth power? - Hal Lane ######################### # hallane(a)earthlink.net <mailto:hallane@earthlink.net> # ######################### >-----Original Message----- >From: Jim Muth [mailto:jamth@mindspring.com] >Sent: Wednesday, June 01, 2005 10:07 AM >To: fractint(a)mailman.xmission.com >Cc: philofractal(a)lists.fractalus.com >Subject: [philofractal] FOTD 01-06-05 (Hexa-Something [5]) > >FOTD -- June 01, 2005 (Rating 5) > >Fractal visionaries and enthusiasts: > >We start June with an enigma of the fractal variety. > >The thing at the center of today's image is a puzzle. It shows >all signs of being a hexic object, if that's the proper name for >equations of the 6th degree. But the parent fractal was created >by a combination of Z^3 and Z^5. Its formula contains not a >hint of Z^6. I guess that's how fractals are -- always doing >the unexpected. > >Even more unexpected are the much smaller and near-perfect >quadratic, cubic and quintic midgets scattered invisibly through >the scene. I will check further into this situation later >today. When the suspected unexpected is found to exist, can the >unsuspected unexpected be far behind. > >All this talk of mysterious things does not make a great fractal >however. Despite its mystery, today's image rates only an >average 5. I named the image "Hexa-Something" because, despite >the numerical confusion, there is something 6-ish about it. > >The render time of 2-3/4 minutes is true on the 10-year-old >computer with the balky fan, which I have dedicated to fractals. >On a more modern unit, the image will render in less than a >minute. But regardless of the speed of your computer, if you >can get onto the internet, you can download the completed image >from the FOTD web site at: > > <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> > >With a high temperature of 77F 25C and full sun, Tuesday turned >out to be one of the all time best days for the fractal cat duo. >They went out before noon and stayed out until after 8pm. As >far as I know, nothing disturbed their peaceful day in the holly >thicket. Today is starting with a few more clouds and a bit >cooler. After yesterday, the cats can't complain. > >For me it's work before play. The next FOTD fractal will appear >in 24 hours. Until then, take care, and do we place too little >or too much faith in the scientific method? > > >Jim Muth >jamth(a)mindspring.com >jimmuth(a)aol.com > > >START PARAMETER FILE======================================= > >Hexa-Something { ; time=0:02:45.16--SF5 on a P200 > reset=2004 type=formula formulafile=allinone.frm > formulaname=MandelbrotMix4 function=ident passes=1 > center-mag=-0.73359310668167350/+0.000008397796090\ > 92/1462787/1/-72.5/4.36410307197432346e-009 > params=1/3/-0.2/5/-0.15/0 float=y maxiter=5000 > inside=0 logmap=29 periodicity=10 > colors=000URzSUzPXzM_zJbzHezKgzMizOkzQmzTozVqzXszZ\ > uzThzNXzHLcC95z5Jn7Mc9PWARSCUNDWJFZFG`dP3cCh`QWYcJ\ > Wp7StBOzFKzzGzzDpRHhQKaPNVOQNNTGMW9M`BKdCIiDGmFFrG\ > DvHBzIAvKFrMJnONjQRfSVbUZZVbDVxk5fTXTAcFFfMJVTOG_S\ > 2fT9_UGUVNNWUHX`AYf4`d6ba8e_BgYDjVFmTIoQKrOMtMOpLR\ > mLUjLXgK_dKaaKdZKgWJjTJmQJoNIrKIuHIxEIzGLyINxJQxLS\ > wMVwOXvP_vRauTdtUftWisXksZnr_prasqbuqatm`tj_tgZsdY\ > saXsZWrWVrTUrPTqMSqJRqGQpDPpAOp7Np4LoFJnQIm`KlkMku\ > OhrQioSkmUmjWohYqe_scau`cvZewWgxUiySkzQlzOmzMnzKoz\ > IpzGqzErzCszBtzBuzAvzAwz9xz9yz8zz8zz8zz7zz7zz6zz6z\ > z5zz5zz5zzCzzJzzQzzXzzczzjzzhzzgzzfzzdzzczzbzz`zz_\ > zzZzzXzzWzzVzzTzzSzzRzzQzzPzzPzzOzzOzzOzzjzzgzzczz\ > _zzXzzUzzRzzOzzLzzJzzBzz4zzBzzIzzPzzWzzbzzizzpzzmz\ > zkzzhzzfzzYzz`zzczzfzzizzlzznzzmzzmzzlzzlzzmzznzzo\ > zzpzzqzzqzzrzzrzzszzszztzztzzuzzuzzuzzrzzozzlzzizz\ > gzzdzzazzZzzWzzUzzYzzCzzE } > >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========================================= ############################################################## -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.323 / Virus Database: 267.6.1 - Release Date: 6/3/05

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FOTD 04-06-05 (Just-Under Brot [7])
by Jim Muth 04 Jun '05

04 Jun '05

FOTD -- June 04, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's fractal takes the 'just under 2' theme of yesterday,s FOTD several steps further. The exponent of Z in today's fractal is 1.999999; the exponent of the extra C is 0.000001, resulting in a fractal that on the surface cannot be distinguished from the Mandelbrot set. But a close examination of the exposed negative stem reveals that things are not as they should be. What at first appears to be a single negative stem, turns out to be many. The splitting is not as chaotic as it is in fractals with exponents slightly greater than 2, but there are still many new scenes to be investigated in the area, especially in the East Valley area of the large main-stem midget, which is where today's scene was found. I have named today's image "Just-Under Brot" because its parent fractal is so close to being the Mandelbrot set, yet falls such a tiny bit short. The rating of a 7 is mostly due to the coloring, which I put some extra effort into. The render time of 3-1/2 minutes is fast enough for all but the most impatient fractalist, if there are such things as impatient fractalists, that is. The finished image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Rain fell most all day Friday here at Fractal Central, keeping the cats well ensconced indoors, where they passed the day on their window shelf, watching birds. A little extra tuna kept them from becoming too unhappy. Today is starting cloudy but dry, and it is warmer. The cats should approve. The next FOTD will appear in 24 hours. Until then, take care, and never stop searching for the universal fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Just-Under-Brot { ; time=0:03:35.58--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=JimsCompMand center-mag=-1.74965828584687500/+0.000001348290590\ 31/1.002694e+008/1/167.5/-6.57347995682011632e-007 params=1.999999/0/1e-006/0/0/0 float=y maxiter=2000 inside=0 logmap=223 periodicity=10 colors=000H4HGBFHHE6KD2UC3UJ3UP3UW3Ua3Uh3Un3St6Rs9\ PrBNqELpHJoJHnMFmODmKHhHKdDN_AQW6TR3WN5aQ6fS8kU9pW\ HmTPjQXgNddKlaHt_EoYIkXMfVQbUUYTYURaPQeLPhIOgGOgDO\ gBOf8Of6Of4OfERdOUcXXaf_`oa_MxlKxgJxcIx_GxWFxSExOF\ oSFfVGYYGPaHGdH7gPEjXKlcQokWqsatzgvvfkseaodSlbIl_F\ hVCdRAbM7`H4VD2_C9dCGiCNnCUrC_hER_GIRIATMDUQGVTJWX\ MX`PYcRUdOQeMMfKJgHFhFBiD8jBFcFLYJRSMXLQbFUh9XcGUZ\ MSVSPQZNMdKHjIDpGMr7EZW7GsDHmIHgOHaTIWZIQcIKhIFeTJ\ bbN_lQYjQWiQUgQSfQ9me8meCigFeiIajLYlOUmRQoUMqXIr_E\ tbBu_DrXEpUFnRGkPHiMJzJKvGLkDM`BNZEMWHMTJMQMLOOLLR\ LITLGSKKRJORISQIWQH_PGcOFgOFkNEoNDsMCwMCzQBpUBfYAX\ aANe9Di93kKHmVVoehpoulpsipqfpocpm`pkYpiVqgSqePqcMq\ aJq_GqYDqXZlSsgNrhMqhMqiMpiMojMojMnjMmkMmkMllMklMl\ lMmkPmjRmjTmiVmhYmh_mgamhcmiekjdikcglbemacn`ao__pZ\ YqYWrXUsWStVQuUPvTQwSPxUOyWNzXMzZLz_KzaJzbJzdIzeHz\ gGzhFzjEzkDzmDznJzoJzFKzG } frm:JimsCompMand {; Jim Muth z=c=pixel: z=z^p1*(c^p2)+c, |z| <= p3+100 } END PARAMETER FILE=========================================

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FOTD 03-06-05 (Broccoli [5])
by Jim Muth 03 Jun '05

03 Jun '05

FOTD -- June 03, 2005 (Rating 5) Fractal visionaries and enthusiasts: I have recently done several studies of what happens in the main stem area of the M-set when the exponent of Z is increased very slightly. For today's fractal however, I checked what happens when the exponent is reduced. A problem immediately arose, since the main stem of the M-set vanishes when the exponent of Z is less than 2. Luckily, I have a formula, JimsCompMand, that can pull the vanished stem from its hiding place and place it in the full light of day, ready to be checked. The new formula is a generalization of the formula 'cmplxmarksmand', which has been in Fractint for many years. To produce today's image, I set the exponent of Z at 1.9 and the exponent of the extra C at 0.09, which brings the main stem barely out of hiding. Then I checked the East Valley area of the large stem midget. Instead of the explosion in a switching yard effect, I found large disconnected chunks scattered around the scene in a near chaotic arrangement. Today's FOTD image is typical of the situation in the area. I named today's picture "Broccoli", which is a vegetable I can't get too much of. I'm not quite sure why I gave it this name. There must be something suggestive of broccoli somewhere in the image, though at the moment I seem to have lost sight of it. Despite being named after my favorite vegetable, today's FOTD rates only an average 5, but its render time of a minute or so makes up for the lack of superior quality. Those who dislike both broccoli and rendering fractals can see the image by down- loading it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The rain held off until after dark on Thursday here at Fractal Central. The temperature of 66F 19C was cool for the season, but the cats didn't seem to mind as they passed the afternoon in the holly thicket. At one point another neighborhood cat roamed into the yard, but when Tippy advanced on him ready to fight, the intruder beat a hasty retreat. Unfortunately, today is starting with rain in the area. This is bad for cats, but good for me, for it will give me a chance to catch up on some work that is starting to back up. The next FOTD, which will appear in 24 hours, will probably be an improve- ment over today's, but check back to be sure. Until then, take care, and why is global warming always worse when it is summer in the northern hemisphere? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Broccoli { ; time=0:01:22.39--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=JimsCompMand center-mag=-1.73970084521555300/+0.045170357407869\ 22/1992095/1/25/-1.00643305703251862e-008 params=1.9/0/0.09/0/0/0 float=y maxiter=1500 inside=0 logmap=59 periodicity=10 colors=000KAKK7MKCOKHPKMKKRJKVFKdKKnP7gW6aa5Vg4Pm3\ Js2Hn2Gi1Ed1D`1CW0AR09M08Izp0uk5qf9maDiXHeSLbWR`_W\ Zc`WgeUkjSooaaiZ_lXYnVWpTVrRTtPRvNQxRRrVRlYSfaS`dT\ VzTPzTUZULMVM9WNDL`GBmJ1zejTtHXpFVlDThCRdAQ`8OX7MT\ 5KP4JT9IWDHZIHbMGeRFhVFdz3gzDizNleXnZfqSpsMzkLtcKn\ WKhOJbGJX8IR1IMBLKKOJTRHbUGkXEt_DsaPsc`selsgwkaxdW\ xYQyQKyJEzC8zJEuQKpXQkcWgjabfgYchRIiKHjKGkJFkJFlJE\ mJDmJCnICoIBoIApICpIEoHGoHIoHKnHMnHOnHQnHSmHUmHWmH\ YmH_mHanHcnHenHgnHioGknGmoGooGqnGsnGunGwnGwmGwmGwm\ GwlGwlGwlGwkGwkFwkFwkFwjFwjFwjFwiFwiFwiFwjFwkFwlFw\ mFwnFwoFwpEuqErrEosEltEitEftEctEZtEYtEYuEYvEZwEZxE\ _yE_zD`zD`zD`zDazDazDbzDbzDczDczDczDdzDhzDmzDrzDvz\ JzzIzzHzzGzzFzzEzzDzzPzzOzzOzzOzzOzzOzzNzzNzzNzzNz\ zNzzMzzMzzMzzMzzMzzLzzLzzLzzLzzLzzKzzKzzKzzKzzKzzJ\ zzJzzJzzJzzJzzIzzIzzIzzIzzIzzHzzHzzHzzHzzHzzGzzGzz\ GzzGzzGzzFzzFzzFzzFzzFzzV } frm:JimsCompMand {; Jim Muth z=c=pixel: z=z^p1*(c^p2)+c, |z| <= p3+100 } END PARAMETER FILE=========================================

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FOTD 02-06-05 (Fourth of July [7])
by Jim Muth 02 Jun '05

02 Jun '05

FOTD -- June 02, 2005 (Rating 7) Fractal visionaries and enthusiasts: Yes, I know the July 4th holiday is still one month away, but today's fractal reminds me so much of a fireworks display that I could not resist naming it "Fourth of July". The parent fractal is the Z^4.000001+C almost-quartic Mandeloid. The scene is located in the east valley of the large midget on the negative real axis. Just as in the Z^2.000001+C almost- Mandelbrot set, the area resembles an explosion in a railroad switching yard. The rating of a 7 seems justified, at least to me. The render time is short enough to make the task almost a pleasure. But there are some machines out there that dislike the Fractint program and its crusty old video modes. Those with such new- fangled machines may download the completed image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The near-perfect weather conditions here at Fractal Central on Wednesday delighted the fractal cats, who spent the entire afternoon lounging in the shade of the holly trees. The trees have lost a lot of their leaves since last year at this time, when they were covered with 17-year cicadas who love to deposit their twig-killing eggs in holly trees, but they still give enough shade to keep the cats cool on 79F 26C days such as Wednesday. This morning, the clouds in advance of the next rain system are moving in, but the rain is expected to hold off until sunset. It will probably be a good day for the cats. For me, it will likely be another reasonable day. The next fractal will appear in 24 hours. Until then, take care, and search for the reason. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fourth_of_July { ; time=0:02:23.63--SF5 on a P200 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN passes=1 center-mag=-1.21883450232609400/+0.000001179804919\ 48/5.071115e+010/1/152.5/-5.20667307325056727e-006 params=4.000001/0/0/0/0/0 float=y maxiter=15000 inside=0 logmap=81 periodicity=10 colors=000NBKMCKLDKKEKJFKIGKHHKGIKFJKFJLEKMDKNCLOB\ MPBMQANR9NS8OT8OTAQUCRWETYGU_IVaKXcMYeN_gPaiUckZem\ cgohjqmnsrruuwwwzzzzzzzzzzzzzzzzzzzzzzzZzbwzXwzRwz\ L5zG`zjZzhYzfWzdVwbUt`SqZRoXPmWOkUNiSLgQKeOIcMHaKG\ `JI_MJ_PK`RL`UMaXOaZPbaQbdRcfSciUdlVdnWeqXetYevWcq\ VbmU`iT_dSY`QXXPVTOUONSKMRGLQCaRLUQSMQYEQcMwdJtbHr\ `FoZDmXBkV9hT7fR5cP3aN1_L3YK5XK7WK9VJAUJCTJESIGRIH\ QIGRKGSLFTMFUNEVOEWPDXQDYRDYSG_QJaPMcOPdNSfLVhKXiJ\ _kIbmGenFhpEkrDmsCjoEhkGfhHddJb`L`YMZUOXRPVNRTJTRG\ UPCWN9X`NWm_VlaXkcZkd`lc_mc_BRJBROBQTAPYAPbAOgAOlB\ RjBUhCXfCZdCacDdaDf_EiYElXEnVFqTFtRFvQJvSNvTRvUVvV\ ZvWbvXevYfrXgnXhkXigWjcWk`WlXVmUVnQVoMUpJUqFUrBTs8\ Tt4Tt1Tq3Pn4Ll6Hi7Dg99dA5bB1_E3YG5WI7TK9RMBPODMRFK\ THIVJFXLDZNB`P9bQB`TCZWEXYFW`HUcISeKRhLPjNNmOMpQKr\ RIuSHwRKqQMlPOfOQaNSXMURLWMKYHJ_BIa6Hc1LY5OS8SNBVH\ EZBHa6Kb9LcBLcEMdGMeJNeLN } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 01-06-05 (Hexa-Something [5])
by Jim Muth 01 Jun '05

01 Jun '05

FOTD -- June 01, 2005 (Rating 5) Fractal visionaries and enthusiasts: We start June with an enigma of the fractal variety. The thing at the center of today's image is a puzzle. It shows all signs of being a hexic object, if that's the proper name for equations of the 6th degree. But the parent fractal was created by a combination of Z^3 and Z^5. Its formula contains not a hint of Z^6. I guess that's how fractals are -- always doing the unexpected. Even more unexpected are the much smaller and near-perfect quadratic, cubic and quintic midgets scattered invisibly through the scene. I will check further into this situation later today. When the suspected unexpected is found to exist, can the unsuspected unexpected be far behind. All this talk of mysterious things does not make a great fractal however. Despite its mystery, today's image rates only an average 5. I named the image "Hexa-Something" because, despite the numerical confusion, there is something 6-ish about it. The render time of 2-3/4 minutes is true on the 10-year-old computer with the balky fan, which I have dedicated to fractals. On a more modern unit, the image will render in less than a minute. But regardless of the speed of your computer, if you can get onto the internet, you can download the completed image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a high temperature of 77F 25C and full sun, Tuesday turned out to be one of the all time best days for the fractal cat duo. They went out before noon and stayed out until after 8pm. As far as I know, nothing disturbed their peaceful day in the holly thicket. Today is starting with a few more clouds and a bit cooler. After yesterday, the cats can't complain. For me it's work before play. The next FOTD fractal will appear in 24 hours. Until then, take care, and do we place too little or too much faith in the scientific method? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Hexa-Something { ; time=0:02:45.16--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.73359310668167350/+0.000008397796090\ 92/1462787/1/-72.5/4.36410307197432346e-009 params=1/3/-0.2/5/-0.15/0 float=y maxiter=5000 inside=0 logmap=29 periodicity=10 colors=000URzSUzPXzM_zJbzHezKgzMizOkzQmzTozVqzXszZ\ uzThzNXzHLcC95z5Jn7Mc9PWARSCUNDWJFZFG`dP3cCh`QWYcJ\ Wp7StBOzFKzzGzzDpRHhQKaPNVOQNNTGMW9M`BKdCIiDGmFFrG\ DvHBzIAvKFrMJnONjQRfSVbUZZVbDVxk5fTXTAcFFfMJVTOG_S\ 2fT9_UGUVNNWUHX`AYf4`d6ba8e_BgYDjVFmTIoQKrOMtMOpLR\ mLUjLXgK_dKaaKdZKgWJjTJmQJoNIrKIuHIxEIzGLyINxJQxLS\ wMVwOXvP_vRauTdtUftWisXksZnr_prasqbuqatm`tj_tgZsdY\ saXsZWrWVrTUrPTqMSqJRqGQpDPpAOp7Np4LoFJnQIm`KlkMku\ OhrQioSkmUmjWohYqe_scau`cvZewWgxUiySkzQlzOmzMnzKoz\ IpzGqzErzCszBtzBuzAvzAwz9xz9yz8zz8zz8zz7zz7zz6zz6z\ z5zz5zz5zzCzzJzzQzzXzzczzjzzhzzgzzfzzdzzczzbzz`zz_\ zzZzzXzzWzzVzzTzzSzzRzzQzzPzzPzzOzzOzzOzzjzzgzzczz\ _zzXzzUzzRzzOzzLzzJzzBzz4zzBzzIzzPzzWzzbzzizzpzzmz\ zkzzhzzfzzYzz`zzczzfzzizzlzznzzmzzmzzlzzlzzmzznzzo\ zzpzzqzzqzzrzzrzzszzszztzztzzuzzuzzuzzrzzozzlzzizz\ gzzdzzazzZzzWzzUzzYzzCzzE } 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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Fractal web site
by David Dollevoet 01 Jun '05

01 Jun '05

Greetings, My fractal web page is updated for 2005-06. http://www.djd-fractal.com David Dollevoet

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Re: FOTD 29-05-05 (Cocoons [7])
by Vortex Swirling 01 Jun '05

01 Jun '05

Just an addendum to this. I tried altering the real(p2) parameter on the parent fractal of the May 8th FTOD Scene from a Fractal. http://home.att.net/~Fractals_3/FotD_05-05-08.html I found if I made minor adjustments in the 10th's place, incrementing by .1 the parent fractal did indeed seem to rotate. That is, while changing shape slightly but it appears there is a sort of spiral. Might make an interesting movie with a more interesting parent fractal. -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.322 / Virus Database: 267.3.0 - Release Date: 5/30/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.322 / Virus Database: 267.3.0 - Release Date: 5/30/2005

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FOTD 31-05-05 (Many Layers [8])
by Jim Muth 31 May '05

31 May '05

FOTD -- May 31, 2005 (Rating 8) Fractal visionaries and enthusiasts: To produce today's fractal, the last of the month of May, I took some Z^3 and subtracted 0.2 parts of Z^5 from it (more or less), then added plain C to produce a parent fractal filled with bits and pieces of baby Mandeloids of many different orders. Forgetting the odd orders, I focused on a quadratic midget. The parameters of today's image are quite critical. Even a small change of any parameter changes the image to a totally blank screen. The overall appearance is that of a midget in an East Valley, but I have never seen an East Valley midget quite like today's, with its totally disconnected bug-eyes. I spent nearly an hour on the coloring, which is an unusually long time and resulted in an unusually smooth GIF image for one consisting of flat bands. The colors raise the rating from a 7 to an 8. The name "Many Layers" was originally intended for another image in the same parent fractal, an image that was discarded when I found today's. The render time of just over 2 minutes is quite reasonable for a fractal of above average quality. The image download from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> is also available. The sun shone until 3pm on Monday, and the temperature rose to 79F 26C. But then the sun was obscured by a shower cloud. The rain was light, but it spoiled the cats' day in the yard, making an extra tuna treat necessary in the evening to restore their good spirits. Tuna almost always works. The cats can tell it's coming by the sound of the can being opened, and as soon as they hear it, they start purring and rubbing against everything in sight. Today is starting great. No more tuna will be needed. For me it's back to work. The holiday, for what it was worth, is over. The next in the endless series of intriguing but other- wise useless fractals will appear right here in 24 hours. Until then, take care, and if science says it's so, it must be so. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Many_Layers { ; time=0:02:19.45--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.35456557346155930/0/2.315815e+009/1/\ 180 params=1/3/-0.2/5/0.255/0 float=y maxiter=2500 inside=0 logmap=59 symmetry=xaxis periodicity=10 colors=000WRpXSoYUk_Vj`XiaYhc_gd`efbdicckebmgapi`r\ k_tmZsnasoduogwojwpmxqpysswtvwuxwquwnrwjowglwdiw`f\ wYcTV`URYWOVXLT_PQbTNdWKg_HibElfBoj8qm5tq2vt0qo3lj\ 5gf7ba9YYBTTEOPGJKIEGK9BM57OEEWMLcURjaYricyjbyjbyj\ byjbyjayjaykaykayk`yk`yk`yk`yibpgcgfdZ_`aUXdOTgIQj\ CMm6Ip0Fr1Gp1Ho1Hm1Il2Jk2Ji2Kh2Lg2Le3Md3Nc3Na3O`30\ 0A0AK0KP0QV0Ua5Xg2Xa5UX8SRBPMDNTKTZQYdWckchqjnwnsx\ rqxopxmnxjmxgkxcjy`hyZgyXeyVdyTbyRayQ`wS_uU_tW_rY_\ q_ZoaZncZleZjgYiiYgkYfmYdoXcqXasX`tX_k`ZccYVfXNiQY\ bKhXEsRGrQIrPJrOLrNNrMOrLQrKSqKTqJVqIXqHYqG_qFaqEb\ qE_nGXlHUjIRhJOeLLcMIaNF_OCXQ9VR6TS3RT0PU3QS6QR9QP\ CROFRMIRLLSJOSIRSGUTFXTDZTCaREcPGeOHgQJiSKkUMmWNoY\ Pq_QsaSubThc`XdhLepQfoUgoZhnbingjmkkmjlkimjhnhgogf\ peeqddrbcsabt`auZ`vY_wWaxVcyTezSgzRizZkzfmzmoznqzo\ szpuzqwzqxzrzzszztzztzzrzzqzzozznzzmzzkzzjzzizzgzz\ fzzezz8zzDzzIzzNzzSzzlzzo } 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: FOTD 29-05-05 (Cocoons [7])
by Vortex Swirling 30 May '05

30 May '05

>I like to picture this infinity of fractals as a single object >-- a 5-dimensional spiral, each level of which may be explored ... Oh!!! Why why didn't you tell us! ;) Interesting. And if I put "logarithmic hyperspiral" in the quotes into google, I get 3 or 4 hits, all from FTOD! Looks like you've coined a phrase. Of course I didn't look at the parameters to see you plaining have the same number for one of them as you mentioned. How do you come up with this number? Just randomly try? I guess I'll have to fool around with that parm to see what happens. -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.322 / Virus Database: 267.2.0 - Release Date: 5/27/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.322 / Virus Database: 267.2.0 - Release Date: 5/27/2005

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FOTD 30-05-05 (Fractal Fingerprint [5])
by Jim Muth 30 May '05

30 May '05

FOTD -- May 30, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's quick but minor effort at fractal creation rates a 5, which might be a bit more than it deserves. I named the image "Fractal Fingerprint" because the narrow ridges briefly reminded me of a fingerprint. I no longer see a fingerprint in the image, but the name remains. The parent fractal is an oversized thing created when portions of Z^(-1.2) and Z^(-9.3) are combined and (1/C) is added. The scene is located near the northern edge of the 'fan' of the parent. To add a bit of action to the otherwise bland image, I rendered it with the outside set to 'tdis' and applied a random color palette, which was created by striking the <enter> key while in color mode. The render time of almost 2-1/2 minutes is about all the time the image is worth. And as always, the completed GIF image may be downloaded from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A partly cloudy day with a high temperature of 77F 25C proved satisfactory for the fractal cats on Sunday. Unfortunately, we were out looking at unwanted odds and ends most of the after- noon, and the cats did not get outside until we returned at 6pm. The duo didn't seem to mind having been confined on such a good day, and enjoyed themselves in the holly patch until dark. This morning is starting sunny and mild, and we have no trips planned, so the cats should have a longer good day. Since it's a holiday, I am simply going to do as little as possible. The next FOTD fractal will appear in 24 hours. Until then, take care, and watch for rogue fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FractalFingerprint { ; time=0:02:27.53--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip center-mag=+1.65556616495749900/+1.217437131597509\ 00/127825.2/1/10/-2.44932094953242974e-008 params=-8.453/-1.2/-0.326/-9.3/0/0 float=y maxiter=1500 inside=0 outside=tdis periodicity=10 colors=000cmzNCae21j33n44s55w56fK4QZ2Am0Jbidlpzuwj\ hhWWVGJG172u7PT3CZwvNcbBKJj3gV2TF1EGK2AQ15DKcGgjCX\ V8MF4BlsBWmKLXDAG6_bHRTCIJ8994IURmsHBO83sm1SCzc0iP\ H87E437c5JD9MrF2SU1J71930TkhMIKGDFB9A545a6hS4XJ3M9\ 1BSBWI7L93AB0V`qhO_UCIFzjReVILF9KqnXVia``SRRJII999\ fUDWM9LF6A73VJ6F93Ud4KR2AD1z_5eO3LC1u0xa0cJ0KxPQ5b\ 1H5q82RCA9866433s_pt9Ke6FS4AE25HVLBKE5A7en8LP4qlz_\ WeIGLHTLBJE597X1CWgaOXSGMJ8B9PKSCAEp4PbmfMOuBCTIkx\ CWc6GKljDON6_YyIHV_3Stlze_jSOVECFFKEAD9564F_b7IJhR\ 2MD1c2zU1jK1VA0FlbyOJVedoLKQpbJbTEQJ9D94F5nA3Y51H`\ HVOBKC5AQouDQTv03g02T01E00HD30dh0RU0DF2Kd1AKI9bC6Q\ 63DLJVA9FqfiPRcCDKnaGYPAHC5bkPkmJ2Od1IU1CK06ASoZLb\ QEQH7D87Mx3BU_gAIM5YD6H63a5jS3ZJ2N91B76`mOQwbJOG6Y\ 8MH4BosrQSR9rv6dg4RT2DE8kN5WF2G7GZOCQI8HC486TDVE6F\ AeNfR2WK1LD1A60aO9JC4BDf78S34Eb12J01kLnZKuaSjJEN37\ s24`12IRjtDNSKl4AO2l4CW28 } 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 29-05-05 (Cocoons [7])
by Jim Muth 29 May '05

29 May '05

FOTD -- May 29, 2005 (Rating 7) Fractal visionaries and enthusiasts: In a recent letter to the Fractint list, Vortex S. asked what is the hyperspiral I keep talking about. The hyperspiral is simply the set of all the fractals that can be created with the same fractional exponent of Z. Many fractals are possible from the same fractional exponent because the complex logarithm function is multi-valued. The formula for the complex natural logarithm is: (1/2)ln(x^2+y^2)+i(atan(y/x)+2kPI) The hyperspiral arises because k can have any value from zero to +- infinity, the different values producing different fractals. I like to picture this infinity of fractals as a single object -- a 5-dimensional spiral, each level of which may be explored by entering the number of that level as the real(p2) parameter of the MandelbrotBC2 formula. But none of this has anything to do with today's fractal, which was calculated by the M-Mix4 formula, when it combined various portions of Z^(-1.5) and Z^(-4.5), then added (1/C). I use (1/C) instead of plain C because fractals with negative exponents of Z are inside out and (1/C) turns these fractals inside out again, which results in a rightside-out fractal. In addition to being turned inside-out twice, today's fractal has been partially evaporated by raising the escape radius to 2*10^14. In fractals created with negative exponents of Z, the points never reach infinity, but they can travel quite far in their limited range. As the bailout radius is increased, more points are trapped, until eventually every point is trapped and the screen is filled with nothing but a flat color consisting totally of trapped 'inside' points. An active inside fill such as 'bof61' brings this flatness to life. In today's image a few points still manage to wander beyond the escape radius, and appear as 'outside' stuff. These points comprise the dark, banded cocoon shapes that give the image its name. Unfortunately, all the cocoons have hatched and the butterflies have flown away. The rating of a 7 seems appropriate for today's image. The render time of under 3 minutes is not bad either. And those who do not render may find the finished image posted to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Saturday started out fair enough here at Fractal Central, with lots of sun and a temperature of 79F 26C. But soon after the cats started their daily afternoon outing, a rain squall moved in and sent them scurrying for cover under the porch. The sun returned 30 minutes later, but by then the temperature was down to 59F 15C, the wind was blowing and the grass was soaked -- unfit conditions for the sensitive fractal cats, who came inside to sulk. Today is starting like Saturday, but no rain is in the forecast. Luckily, the duo has a short memory. For me, it looks like I will be unable to talk my way out of a trip with fractal lady to one of the local antique emporiums to look at the stuff someone else got rid of. The next FOTD will appear almost by magic in 24 hours. Until then, take care, and the trouble with fractals is that one can never be sure of what a fractal will do next. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Cocoons { ; time=0:02:46.42--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-28.44386721751713000/-11.7012260054644\ 8000/9.165932e+009/1/-70/0.166537863130951536 params=-5.46/-1.5/-2.67/-4.5/0/2e+014 maxiter=2500 float=y inside=bof61 outside=tdis periodicity=10 colors=222xS2xL2xG2xA2x72x72x72x72x72x72x72x72x72v\ 72k72`72S72J72B723722Q22O32L72KB2KF2IL2GP2EU2EZ2g2\ 5m7DsGLxPUz`bznlzzXzvLzvBvs2ps2kq2gq2sxLzxhzxxzxxz\ xxzxxsxxgxxaxxSxvLxvExs8xs7xq7xn7xn7xk7xk7xf7x`7xX\ 7nU7bP7UL7LJ7DF85BC29I25L22S22X22Z22Z22Z22a22a22a2\ 2Q52GJ77ZN7qL7hJAbGGZFKUDQPBXL9aG7gD5p93v52z22z22z\ 22z22m22a22Q22E227227227227227527927F27J27N27U27Z2\ 8b2Ak2Cq2Gv2Ix2Kx2Lx2Ix2Gh2EU2AG287272272272272272\ 272272zz2zz2zz2z02z72z7227227527927D27G27L27N27J27\ F27D2792752732722722722722722722A22z22z22s22g92aG2\ XJ2SJ2QL2LL2KN2GN2EP2AP27S77SD7UJ7UP7XX7X27k27b27Z\ 27U27P27L27G27D2772732722722722722722822S22pJLzfBz\ P2zB2z22z22z22z22z22z22x22m22e227327727B27F27G37LB\ 7PJ7SSCX`I`kObvUhxanxeqxcsxcsxavxavxZxxZxxXhxXUxUG\ xU5xZ2vc2qe2kk2fp2`s2Na2DL528B27J27P27N27N27L27L57\ JB7JF7GJ7GP7GU7F`7Fxa2xa2 } 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: Stringing Along
by JackOfTradeZ 28 May '05

28 May '05

Jim - I would give "Stringing Along" a rating of 8 or 9, if not for the complexity, at least for the color! JoTz

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FOTD 28-05-05 (Fractal Friday [5])
by Jim Muth 28 May '05

28 May '05

FOTD -- May 28, 2005 (Rating 5) Fractal visionaries and enthusiasts: The recipe for today's image is a simple mixture of Z^3 and Z^5, with a little C added for flavor. The result is a scattering of fractals, the largest of which has open areas with four lobes strung along its main stem, which in this case points north. These open areas have tiny straight filaments radiating from them. I checked a filament radiating from one of the very small open areas near the tip of the stem, and found today's fractal. The midget at the center is standard enough. The nearly- straight star-studded filaments radiating from it are what makes the image worth being declared FOTD for May 28. Actually, with a rating of only an average 5, the image kind of sneaks onto the honor roll by the skin of its teeth, but even a 5-rated fractal is worth 3 minutes spent in calculating it. As I tried to think of a name for the image, many cute and artsy phrases came to mind and were quickly discarded. I finally settled on the name "Fractal Friday" in honor of the day on which I found the image. I realize that the image will not be posted until Saturday, and not seen by some until Sunday, but the 'Friday' name is the one the image will forever bear. There are two ways of seeing the Friday fractal: first, by running the included parameter file and waiting a few minutes; second, by downloading the completed image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Lots of sun, gentle breezes, and a temperature of 81F 27C made Friday a perfect day for the fractal cats, who spent over 6 hours in the yard. Today is starting much the same, but I see showers in the forecast for later today. For me the day looks very slow, which is the way I like it. The next FOTD will appear in 24 hours. Until then, take care, and be lively. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Friday { ; time=0:03:11.64--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.00900244971839993/-0.673234783574483\ 20/6.237726e+012/1/-0.238074244069548191/0.2380742\ 440695485 params=1/3/0.2/5/0/0 float=y maxiter=1500 inside=fmod proximity=0.26 outside=tdis periodicity=10 mathtolerance=0.05/1 colors=000kz00z06z0Iz0Tz0Tiz6vxOzOrzzmz`gzCEMGOg6V\ z0zddxzEzpmrzIPOrZdi`zGv0VnRGgt08z0Gz0Oz0Vz0zzkzzR\ pz64O0Mr0VzeZzO`z4zt000m00r00v20xP0xk0xz0xz0xz0tzI\ pzZmrniize`zbbzTbzKdzAdz0dz0PeKA`i8Xd8IZ82T80P00V0\ 6`0Gd0Gi0Gm0Gp0Gt0Gx0Gz0Gz2Gz4Gz8GzAGzCKzCOzERzEVz\ GZzGbzIezIizKmxKptMtrMxpOzkOzgOzbOzZOzTOzPOzKOzGOz\ CKG0`RCbk2bz002M2VAMv0z20`X00x00t00r00p00g60``0gz0\ mzAvzTn0KzbTzCzn0zx0zz0nz0zxerzE0K`8eKOz2mmzizgezG\ 0008P0Or0d4zbPgbiPbz6z0zzGzxbbmzC4bzMzZz0zvGtnbZgz\ AptbizCvKzkp`mCXgmARzxXzOvz8pz2kz0ez0zzixzG0OT6gEO\ z0xbzprpizKz`znxZmzmEvVOzGVz0RzkVzXXzI`z2z0RpKEip0\ z0gx6TpXGiv0O6PRRGVi6Zz00gzzm2zz0nz0zk8zt2rz0iz0VK\ zZpVIz8Tz000ZAbAzC0xV0pm0iz0z400p60gg0rTEzGRz0zdmz\ nXzzInz2000060AX0Pv02zKGz8Rz0IzE0A`0`KKx2znOnzzgzR\ z0bvIMkn4gzOdz4MidVzEzz`nr4iz0ez0K0zRMtXpMzznxzTmz\ 8Gv0g02zvTzzEnz000nzMKvg8 } 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 25-05-05 (Stringing Along [5])
by Vortex Swirling 28 May '05

28 May '05

Jim, You often refer to the logarithmic hyperspiral. What is that? Could you give some examples? -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.322 / Virus Database: 267.2.0 - Release Date: 5/27/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.322 / Virus Database: 267.2.0 - Release Date: 5/27/2005

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FOTD 27-05-05 (Seaweeds [8])
by Jim Muth 27 May '05

27 May '05

FOTD -- May 27, 2005 (Rating 8) Fractal visionaries and enthusiasts: Fractals are not only infinite in complexity, they can be infinite in size as well. The parent fractal of today's image is one of these doubly infinite fractals. I am not sure if it is truly infinite in size, but it shows no signs of coming to an end at the maximum outzoom of which Fractint is capable. I once thought that such super-sized parent fractals would permit a greater degree of magnification to be attained. I wrote a formula something like 0.000001*(Z^2)+C, in the expectation that the very deep features of the M-set, which are normally beyond resolution, would be enlarged into the range of resolution. Alas, I was wrong. My trick did not increase the degree of magnification that was possible, it merely shifted the decimal point. Of course, when arbitrary precision math became available, such tricks were no longer necessary, at least for the M-set. Today's image, which is located in one of the more unlikely areas of its parent, is named "Seaweeds". I gave it that name because with all its letters in a cluster on the keyboard, the word is fun to type. And the green stripes surrounding the midget do remind me of strips of seaweed drifting in the current. The rating of an 8 might be a bit liberal, especially consider- ing the slow render time of over 1/2 hour. But then the FOTD rating represents what I consider an image to be worth at the time I rate it, not what someone else thinks of the same image a few days later. <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Only a few too many clouds kept Thursday from being absolutely perfect here at F.C. The high temperature of 75F 24C was ideal for the cats, and the light winds let the slightest sound of danger be clearly audible. The duo enjoyed 7 hours in the holly thicket, and even then needed to be coaxed inside with a can of tuna. Today is starting much the same. If nothing goes wrong, the cats will be happy again. As for me, I'll be happy when the work is behind me and an even better fractal before me. That fractal, if it happens, will appear in 24 hours as the next FOTD. Until then, take care, and walk in harmony. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Seaweeds { ; time=0:34:56.56--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.11274000943000840/+0.331225506094589\ 60/7.119798e+011/1/-50/-0.0301182284068081049 params=4.3/-1.5/-3.1/-7.5/0/400 float=y maxiter=5000 inside=0 logmap=698 periodicity=10 colors=000kcpkcpkapkaok`nkZmk`mk`lkflkfkkhkkhjkhjk\ iikiikkgkifjhdjicihaii`gh_dkSfmVgkYij`ihaohdlfgmdi\ nalo_opYpqVsrTvsQxtPzuMzvJzwLzxMzyOzzPzzQzzQzzSzzT\ zzVzzXyzYyzYxz_xz`xzavzcvzcuzduzfszgsziszjrzjrzlpz\ mpzoozpozpozomzmlzmjzlizlgzjfxiduicsgapg`mf_lfYidX\ fcVdcTaaS`aQY`PV_OT_MQYLOYJMXIJXGGVFFTDCTC9SA7S94Q\ 70V61P73Q74X76T77Y99V99X9AY9C_AD`AF`AGcAIfCIiCJlCL\ mCMpDOsDPvDQyDQzDQxDQuDQrDQpDQmDPlDPgDPgDPfDP`DP`F\ PYFP_FPXFPVFOTFOTFOSFOQFOPFOOFOOFOMGOLGMJGMJGMIGMG\ GMFGMFGMDGMCGLAGJAGLCIJDJJDJJFLIFLGGMFGOFIOFIPGJPG\ LQJLSJMSJMTLOTMOVMPXMPXMQYPQYPS_PT`ST`SVaSVaSXcVXd\ VYdVYfX_fY_gY`i_ai_ajacjcclddmfdmifopfopgppgpscmv`\ jrXgrTdsPavM_xIXxFTyCQzFTyIVxLXzMYzP_zS`zTazXcz_dz\ afzcgzfizijzjlzijzgizfizdgzcgzafz`fz_dzYizXmzVrzTv\ zSzzSzzQzzPzzOzzMzzLzzJzzIzzGzzFzzDzzCzzAzz9zz9zzA\ zzAzzAzzCzzCzzCzzCzzDzzDz } 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 26-05-05 (Nothing Negative [5])
by Jim Muth 26 May '05

26 May '05

FOTD -- May 26, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's fully evaporated image is named "Nothing Negative", and there is nothing negative about it. True, the iterated formula combines two negative powers of Z, but in this case two negatives make a positive. The bright color palette, broken by only a few areas of deeper, more intense colors, is largely responsible for the image's joyful, almost heavenly feeling. OK, with a rating of 5, today's might not be the most positive fractal of all time, but it is still good enough to be the FOTD for May 26, especially because nothing better came along. The render time of 14 minutes is slow enough to make downloading the finished image the wiser choice. The finished image is posted on the FOTD web site, which may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy clouds, chilly temperatures and occasional rain kept the fractal cats safely inside on Wednesday. The duo made the most of the unpleasant situation by sleeping on their shelf by the window, waking only when a bird flew near. Today is starting sunny and warmer. The cats should approve. For me the work is moderate, and the next FOTD will appear in 24 hours. Until then, take care, and be patient. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Nothing_Negative { ; time=0:14:09.75--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.09100632865307023/-2.620703922324659\ 00/3.721457e+008/1/-39.9999965308044381/-4.1577601\ 2035323772e-006 params=-1/-1.3/-0.2/-7.4/0/1e+100 float=y maxiter=1500 inside=bof61 periodicity=10 colors=000kT0jR0jR0hQ0haXhaXfcZfcZfc`fc`fcbhcdhcdh\ cfhcfjcgjaijaijakkakkalkalkalkalmalmalm_lmzlovloml\ omlozlqzlqzlqzlqvlsmlqWlmVljTlhRldOlaMl_LlXJlTHlRE\ lODlKBlJAlF8lC8lE8lFAlHDkJGiKJgMMfOOdPRbRV`TYZVaXX\ dWYhU_jSamQcqPdtNfxLhzJjzIkzGmzEozCqzAsz9vz7uz7qz9\ oz9kzAjzCkkldzEazEYzGXzITvIRtJOqJMoLJkNFjNEhPAdP9c\ Q6_S4YS1VU1TU1QW1OX1LX1JZ1GZ1E`1Bb1Bb1Db1Ed1Gd1Hf1\ Hf1Jg1Lg1Mi1Oi1Ok1Qk1Rl1Tl1Vl1Vl1Wl1Yl1_l1al1al1cl\ 1dl1fl1hl1hl1jl1kl1ml1ol1fl1Wl3MkAEfH8`P8UO8UM8UK8\ WJ8WH8WF8XE8XC8XA8Z98Z78`68`48`18b18b18b1Ad1Bd1Bf1\ Df1Df1Eg1Eg1Ggffl1Hi1Jk1Jk1Ll1Ml1Ol1Ql4Rl7TlCVlHWl\ KYlP_lVal_cl_clacladlcdldfldflfhlfhlhjljjljjlkklkk\ lmmlomloolqolsqlsolqmloklmjlkhijdgjcdhabf_ZdYXcWUa\ TSaRQ_QNYOLXMIVLGTHCTGAXEA_D9cB7hA5k85o84s82x80c80\ JB01H0OQ0mY0zh0zh0zh0zf0zf0zd0zd0zc0zc0za0za0z_0z_\ 0xY0vY0uY0sW0sW0qV0oV0mT0 } 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 25-05-05 (Stringing Along [5])
by Jim Muth 25 May '05

25 May '05

FOTD -- May 25, 2005 (Rating 5) Fractal visionaries and enthusiasts: On Tuesday evening I wondered what would happen if the almost- Mandelbrot set were rotated 180 degrees, so that the main stem fell on the positive half of the real axis instead of the negative half. With the exponent of Z so close to the integer 2, I needed to go 3,141,585 levels up the hyperspiral before the fractal rotated a full 180 degrees. (I assume the proximity to the number PI is coincidental.) What I found at this cosmic level is little more than a mirror image of the ground-level figure. The main stem once again is infinitely divided, with the 'explosion in a rail yard' effect prominent. Instead of investigating the east valley of the largest midget, I checked the east valley of a sub-midget on the main stem of the large midget, and found a nest of sub-midgets arranged as though they were strung out like beads on a string. I named the image "Stringing Along", and rated it a 5, which is average. It might be worth a 6 or so, but I am starting to grow bored with the 'infinitely divided main stem' theme, and could give the image no higher a rating. The render time of 9-1/2 minutes on my 10-year-old machine is on the slow side, especially in a world moving at a hectic pace. But quick relief for latent impatience is on hand at the FOTD web site, which can be found at the URL: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the completed GIF image waits, ready for download. A cold, dreary, rainy day on Tuesday here at Fractal Central left the cats' moods on the surly side. Extra tuna made them feel somewhat better in the evening, but it could not make up for an entire day of forced confinement. Today is starting cloudy and cold, with rain scattered around the area. It could be as bad a day as yesterday. For me it's work first. The fractals come later. Until 24 hours have passed, take care, and where do prime numbers come from, if from anywhere? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Stringing_Along { ; time=0:09:38.86--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=+1.78357259738345500/+0.000006023651137\ 31/1.04065e+008 params=2.000001/0/3141585/0 float=y maxiter=5000 inside=0 logmap=228 periodicity=10 colors=0000000000000000000000000100200300400500500\ 600600800801801901902A02A02A03B04B04C05C05E06E06F0\ 9F0CE3GC8KBCPAHSAKUAMUAOUAQUASUAUUAWUAYUA_UAaUAcUA\ eUAgUAiUAkUAmUAmUAmUAmVAmWAmYAm_AmaAmcAmeAmgAmiAmk\ 8nm6ro9rqArsCruErwGrxHryKrzMrzPrzQrzTrzVrzYrzZrzar\ zcrzfrzhrzlrznrzqrzrrzvrzxrzzrzzrzveyoTxhJta9vZ2rY\ 1qW1oW0nV0lT0hT0fS0eQ0cQ0aP0ZN0YN0WM0VK0TK0QJ0PH0N\ H0MG0JE0KG0MJ0MM0NP0NS3PV5PY8Q`AQaCSeGThJTlMVoPVrT\ WvWWyZYzaZzfYzeWzeVzeTzeSzcQzcPzcNzcMzaKzaJzaHzaGz\ `Fz`Ez`Cz`BzZzzZzzZzzZzzYzzY4zY2zW3zY3zY3yZ3vZ3t`3\ r`3q`4na4la4jc4fc4ee4ce4ae5Zf5Yf5Wh5Th5Sj5Qj5Pj6Ql\ 6Sl6Un6Wn6Yo6_o2`z6aoBbeGcWMcMScEYc6cd0je0qf0og0oh\ 0ni0nj0lk0ll0jm1jn3ho5hp8fqAfrCesFetHcuKcvNawQawT`\ wW`wZZwaZweYxhYyjWzeWzaWzZVzWVzTVzPTzMTzJTzGSzESzA\ Sz8Qz5Qz3Qz1Qz0SzASzNTzaTzqSzrQzrPzrNzrNzrMzrKzrJz\ rJzrHzrGzrFzrFzrEzrCzrBzr } 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 23-05-05 (Rectangular Miracle [6])
by Jim Muth 24 May '05

24 May '05

At 12:40 AM 5/24/05 +0500, Tony Hanmer wrote about the "Rectangular Miracle" image: >... A very surprised looking giant Sta-Puff >marshmallow slug caught in the act of opening its >mouth to devour Tokyo, I think! Cool! It reminds me of the old 1950's sci-fi movie "Forbidden Planet", where the invisible monster from the id is trapped in the force field. Jim M.

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FOTD 24-05-05 (Baleen [7])
by Jim Muth 24 May '05

24 May '05

FOTD -- May 24, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's image is named "Baleen". Baleen is the bony material, better known as whalebone, that baleen whales have hanging in their mouth. It acts as a filter to collect the tiny organisms on which they feed. Baleen was also used as corset stays to give the ladies their waspish waists when wasp-waists were in fashion. I am not sure what baleen has to do with math and fractals, but for some strange reason I thought of it when I saw today's image. The scene is once again the East Valley of the large midget on the main stem of an almost-Mandelbrot set, with the difference being that we are no longer at ground level of the logarithmic hyperspiral. At this level, the same effect of an explosion in a railroad switching yard is there, though some subtle changes have appeared. The image is striking enough to earn a rating of a 7. The render time of 11 minutes (on my machine) is not strikingly short, but the minor delay may be avoided by downloading the pre-rendered GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The rain threatened on Monday here at Fractal Central, but it never arrived. The temperature reached a mild 66F 19C. This is chilly when compared to the normal 77F 25C, but the fractal cats didn't mind. They spent several hours in the yard, happily watching the birds fly by. This morning is starting cloudy and quite chilly, with the rain finally in progress. We'll have to see what the cats do about it. For me it's business work first and fractal play second. The next FOTD will appear in 24 hours. Until then, take care, and if a four-dimensional planet existed, it could rotate in two different directions at the same time. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Baleen { ; time=0:11:03.61--SF6 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-1.74943279579828000/+0.000015340344480\ 69/1.301765e+010/1/72.5000023442275108/9.170595638\ 25678437e-006 params=2.000001/0/4/0 float=y maxiter=2500 inside=0 logmap=345 periodicity=10 colors=000C48B59B6AA7BA8C99D9AE8BF8CG7DK7INDMTIQWO\ YbTflZotczzfqZglVggShbPhYMhTJiOGiJDjEAj97j44cBFXIQ\ QP_RNZSMZTLZUJZVIZWHZXFYYEYZDY_BY`AYa9Ya8YRMTG_O5l\ K7jL9iLBgLDfLEeLFeOHdRIdUdNWz6X3Tu6TE`LEZHWYDm7RW8\ T_9VbAXeBZhC`kLebUjUhoMutDzz5mmME6aD5`C5_C4_B4ZB4Z\ LC_UJ_bQ`kX`ihfhslgnbfiUfdKe_BeV2kZ5qb8ieHbhQWkZ87\ oD6jH5eL4`P3WT2RX2MaELfQLjaKomKsxKrarvMwtKpsJirIbq\ HWpGPoFJhLPaRVVW`PLWKAS5iS8eTAaUCZVEVVHRWJOXLKYNHY\ UER_BKc8Dz66zCIzONz_S9kX8mT8nP8oL8pH7qD7r97s57t16s\ 35s54r73r82rA1qC0qE0qF2rO4sX6td8umAuuEnsHhrKbpNXoQ\ QnTKlWEkZ8jXDZWIOTGSQEWODZLBbINmGczDczBczLcc4cJu0G\ i2LY4QM6VB7_uF0mG5fHA_IESIJLJNEKS7KWGPYPT_YYafacof\ exjgJCRIHNHLKGPGFUDEY9Da6C`6B`6uKYoLPiMHcN8ZN0_O2_\ P3`Q4`R6aS7aT8bTAbUBcVCcWEdXFdYGdYHPcSccbccdmcfwcg\ zcizXkzTlzSmzRnzRnzQozQozPpzOqzOqzNrzNrzMszMszOqzQ\ pzRozTmzUmzUmzUmzUmzUmzUm } 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 23-05-05 (Rectangular Miracle [6])
by Jim Muth 23 May '05

23 May '05

FOTD -- May 23, 2005 (Rating 6) Fractal visionaries and enthusiasts: I tried to make something of the Julia aspect of the 'Miracle' fractal that appeared on May 17, but to no avail. All is not lost however, for the Rectangular aspect of the scene proved to be quite interesting, completely transforming the original diamond into a vague safety-pin shape. It is this Rectangular aspect that appears as today's FOTD. I picked up the color palette from the original 'Miracle' image, applied it to today's image, and named the result "Rectangular Miracle". An honest evaluation of the image convinced me that it was worth a rating of no more than a 5, but I rated it at a 6 anyway. Those who choose to run the included parameter file will wait around 4-1/2 minutes to view the distorted miracle. Those with the most modern machines will view it in a minute or so, that is unless their state-of-the-art fireball machines are Fractint challenged, in which case they will need to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and download the completed image from there. Near perfect weather made for saintly cats here at Fractal Central on Sunday. Unfortunately, being saintly is not much fun, so there is little activity to report. The duo spent the day quietly in the holly patch. Today is starting with increa- sing clouds and forecasts of afternoon rain. The cats had best take their daily outing early. For me the work is on the light side. If I don't turn totally lazy, this could mean a superior fractal for tomorrow. Until then, take care, and prepare for the infinite. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= RectangularMiracle { ; time=0:04:24.31--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=flip/ident center-mag=-0.00000016066169414/+0.000000000158181\ 08/758157.5/27/166.723380099685556/-76.33078348867\ 65733 params=0/90/2.000001/0/-1.749851541979/4.742\ 589e-006/-1.749851541979/4.742589e-006 float=y maxiter=5000 inside=0 logmap=325 periodicity=10 colors=000Q9QdKmcKlbKkaKj`Ki_KhZKgYKfXKeWKdVKcUKbT\ KaSK`RI_QGYO9WMFUKLS4Q31X06a0Af0Dl0Ip4Mu9PzDTzIXzM\ azJfsIllGpcDvXCzPAvLDsIFpFGlAJi7Lf4Mc1OX7JQDGLJCDP\ 97V41`1CTAMOIXIP`LMcOJfQGjTDmXAp_9mf6jm4gs3dz1az0O\ fLAIc9Pf7Vg7`i6gj4ml4sm7v`AyODzAFz070zF0rL0jS0cY0V\ d0Oj0Gp09u0Jx0Tz0csAXmOPg`IaoAXz3Qz0`zAiyPrrazjpzc\ zfgoFl`PVP_DDi03c6CYFJSOQMVYGcdAll4us0zzIos`alsPfr\ LdpIdpFdoCdo9dUUUcccmmmzzzzzzzzzzzzzvzzszzpzzmxzju\ zgrzdoz_mzTmzOmxIlsClp6lm1lo0mo0op0pp0rr0sr0ur0uj3\ jcJaXYTSVSOSQJPPFMOCLOLIQTGS`DTiCVr9Xy7YoDQdJLXPDM\ V7C`03d0LzzCzg3zITdzOgzJjpFmc9oS4rF0u3MO0D_04j0_00\ T40PC0JL0FSOA_F4g70o0mXzf`r_ciTf`MiSFmI9p91s0Lr9Gs\ 6Ds39u06u01v00v04_LlOG0Az0Qf0fGpSOa`FOg79o0Cgz3oTv\ Xmfc_QiLAp60zI0zD0z90z40y00y0VzOQzJMzFKzAPz7Uz3Zz0\ cz0hz6kz3nz1qz0tz0wz0zz0zzLzzFzzAzz6zz0zz0zzQzzQzz\ Qzz9zzZzzOzz7zzCzz9zz6zz3 } 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 22-05-05 (Hotfoot [7])
by Jim Muth 22 May '05

22 May '05

FOTD -- May 22, 2005 (Rating 7) Fractal visionaries and enthusiasts: In yesterday's discussion I said that today I would investigate the Julia orientation of the 'Miracle' fractal that appeared on May 17. I am in the process of investigating it, but so far I have found nothing worthy of FOTD status, (which itself is not that high). I will do further investigation later today. Who knows, I might even surprise myself. Instead of revealing a Julia 'Miracle', today's image takes us to one of my favorite places in all of fractal land -- the east valley of the large midget on the infinitely divided main stem of the Z^2.003+C Mandeloid. This is the area that holds the mysterious Julia rectangle that I keep returning to, though in today's image we are in the Mandelbrot orientation. For some unknown reason I named the image "Hotfoot". Actually it looks more like a rail yard designed by a maniac. The colors are very intense, perhaps a bit too intense for the otherwise un-exceptional scene. Regardless, I have rated the image at an above-average 7. The render time of just under 5 minutes on my 10-year-old compu- ter will be reduced to 1 minute or so on the fastest machines. But it is still fun 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. Near ideal weather on Saturday had a great effect on the fractal cats. They spent several hours lounging in the yard doing nothing, which is what cats do best. My day would have been better if I had not needed to trim the grass in the afternoon. This morning is starting about the same. I expect more of the same from the cat duo. The next FOTD will appear in 24 hours. Until then, take care, and look for improvement. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Hotfoot { ; time=0:04:56.93--SF6 on a P200 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN passes=1 center-mag=-1.74396902537854000/+0.000726790474579\ 19/2.995057e+007/1/-122.5/2.74998442365004259e-007 params=2.003/0/0/0/0/0 float=y maxiter=1500 inside=0 logmap=159 periodicity=10 colors=000AAHAAIAAJAAKAALAAMAAOAAQAASABUACWADYAE_A\ FaAGcAHeAIgAJiAKj9Kk3Kl0Km0Kn0Ko0Kp0Kq1Kr3Ks5Kt6Ku\ 9KvBNwCQxFTzHWzIZzKazFdzCgz9jz6mz3hz0cz0cw0Zt0Uq0P\ n0Kj0Ff0Ab05Z0BV0CS09P06M05L01K00I10H90FH0EO0CV0Bb\ 19i57o76tB3zE0zH0zK0zL0zL0zL6zL9zO5zP0zS0zU0zV0tY0\ p`0kb0fd1bg5Yi7SkBOoEKpHEsK9vM5wP0zd6qULfKYV7kK0x7\ 0vB0tC0sE1qH6oIBmKFkMKjOOgPSfSWdU`cVd`Yi__mY`qWbvg\ WwqRwzLxzHxzF`zECzC0zH0zL1zP9zUHzYMzbUzd`zigzmmzqt\ zvzzzzzzzxvzxpzwjxwdtvYovSjvMftH`t9Ws3Rs0Ms0Ip0Ho1\ Hm7HjCFiIFgMFdSEcWEb`EfbIibLkbOobRqbUtbYwb`zbczbfz\ bizdfzfdzgbzi`zjYzkWzmUzoSzpRzqOzsLztIzvHzwEzxBzx9\ zz6zz3zz0xz0xz0xz0xz0wz0vz0tw0st3qq6po9pjCogFmdIkb\ Lj_OiWRiUUjPVkLVkHWmEWo9Yo5Yp0_p0_m0Wk3Vi6Ug9SfCRc\ FPbIO_LMYOLWPK`OIdOIiMIkMIpLItLIwLIxIOzHSzEYzCbz9g\ zHkzOqzVszbtzivziwzixzizzizzizzizzizzizzizzizzizzi\ zzizzizzizzizzizzizzizziz } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 21-05-05 (Warped Miracle [6])
by Jim Muth 21 May '05

21 May '05

FOTD -- May 21, 2005 (Rating 6) Fractal visionaries and enthusiasts: In today's FOTD, we take the 'Miracle' fractal of May 17, which rated a 9, and reduce it to a mere vestige of itself, which rates a 6. We do this by slicing through the same part of the Julibrot in a random oblique direction and applying the same color palette to the resulting image. The name "Warped Miracle" is fully justified. We see the same picket-fence features and the same pink elements billowing as though air were being pumped into them from beneath. The discontinuities are still obvious, as is the tiny satellite that held the 4 midgets that appeared in the 'Siamese Quadruplets' image of May 19. The quad satellite is near bottom center in today's image. Unfortunately, at this angle, the quads have been swallowed up, leaving only a pathetic 'dry lake'. But do not despair at today's lack of quality, fractal fans. We have not yet seen the Julia aspect of the area. Tomorrow's FOTD will reveal the Julia aspect in all the glory it can muster. As for today's image, its 8-1/2 minute render time is a bit slow, making the download from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> the better choice. Rain fell steadily all day Friday here at Fractal Central. By the time it ended around sunset, 2 inches (5cm) had fallen, and the fractal cats were thoroughly disgusted. An afternoon temperature of a very cold 48F 9C, and winds gusting to 40mph 65kph made things even worse. It is un-necessary to state that the cats demanded a huge serving of the best tuna before they were fit to live with. Today is starting sunny but quite chilly. Hopefully, the duo will turn unexpectedly intrepid. I plan on doing next to nothing for the rest of the day. Until the next FOTD appears, which will be in 24 hours, take care, and try to solve the riddle. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Warped_Miracle { ; time=0:08:39.98--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new passes=1 float=y center-mag=+0.00000013463092907/-0.000000000220221\ 81/1.895516e+007/0.1552/-1.39132205853407465/-88.2\ 936184378360309 params=-36/-89/2.000001/0/-1.74985\ 1541979/4.742589e-006/-1.749851541979/4.742589e-006 maxiter=2400 inside=0 logmap=325 periodicity=10 colors=000eKndKmcKlbKkaKj`Ki_KhZKgYKfXKeWKdVKcUKbT\ KaSK`RI_QGYO9WMFUKLS4Q31X06a0Af0Dl0Ip4Mu9PzDTzIXzM\ azJfsIllGpcDvXCzPAvLDsIFpFGlAJi7Lf4Mc1OX7JQDGLJCDP\ 97V41`1CTAMOIXIP`LMcOJfQGjTDmXAp_9mf6jm4gs3dz1az0O\ fLAIc9Pf7Vg7`i6gj4ml4sm7v`AyODzAFz070zF0rL0jS0cY0V\ d0Oj0Gp09u0Jx0Tz0csAXmOPg`IaoAXz3Qz0`zAiyPrrazjpzc\ zfgoFl`PVP_DDi03c6CYFJSOQMVYGcdAll4us0zzIos`alsPfr\ LdpIdpFdoCdo9dUUUcccmmmzzzzzzzzzzzzzvzzszzpzzmxzju\ zgrzdoz_mzTmzOmxIlsClp6lm1lo0mo0op0pp0rr0sr0ur0uj3\ jcJaXYTSVSOSQJPPFMOCLOLIQTGS`DTiCVr9Xy7YoDQdJLXPDM\ V7C`03d0LzzCzg3zITdzOgzJjpFmc9oS4rF0u3MO0D_04j0_00\ T40PC0JL0FSOA_F4g70o0mXzf`r_ciTf`MiSFmI9p91s0Lr9Gs\ 6Ds39u06u01v00v04_LlOG0Az0Qf0fGpSOa`FOg79o0Cgz3oTv\ Xmfc_QiLAp60zI0zD0z90z40y00y0VzOQzJMzFKzAPz7Uz3Zz0\ cz0hz6kz3nz1qz0tz0wz0zz0zzLzzFzzAzz6zz0zz0zzQzzQzz\ Qzz9zzZzzOzz7zzCzz9zz6zz3 } 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 20-05-05 (Absolutely Glorious [7])
by Jim Muth 20 May '05

20 May '05

FOTD -- May 20, 2005 (Rating 7) Fractal visionaries and enthusiasts: I have named today's fractal "Absolutely Glorious". Whether or not it truly is absolutely glorious is up to the viewer to decide. The diagonal split cutting close to the center of the frame spoils the symmetry, but the amberish aura surrounding the dissected central figure is notable, at least on my CRT fractal monitor. How it will appear on the newer LED or plasma monitors will depend on how those monitors are adjusted. The image is a scene in East Valley of the prominent midget on the infinitely divided main stem of the Z^2.000001+C Mandeloid. This near-M-set line of fractal exploration is quite rich. It is surprising how I could have missed it for so long, especially considering that it could have been done almost as quickly with the manzpower formula of Fractint. I am beginning to wonder what these areas of the near-Mandeloids look like in the other directions, especially the Julia direc- tion. It's a good line of thought, so stay tuned and see what happens. The rating of a 7 indicates that I consider today's image above average. The render time of 6-1/2 minutes means it is slightly slow. And as always, the finished GIF image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> An adequate day on Thursday kept the cats out of trouble. It kept me out of trouble also. But today is starting with rain, and I doubt that today will be adequate. Regardless of the weather, the next FOTD will appear in 24 hours. Until then, take care, and when in doubt, check it out. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= AbsolutelyGlorious { ; time=0:06:30.47--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotN passes=1 center-mag=-1.74853367804061200/+0.000007698676213\ 47/4.102564e+009 params=2.000001/0/0/0/0/0 float=y maxiter=2500 inside=0 logmap=269 periodicity=10 colors=000A63D60G91JC1MF2PH2SK3UN3WQ4YS4`V4dY5g`5k\ b6ne6rh7uk7xm7zo6zq5zr4zt3wu2rw1mx0hu8csFZqMUoTPm_\ `bggLobIm`DjWOcUUSS`XRhbPogOslLvfJtaHrXFpSDnNBlI9j\ D7h86fA5eF5dK7cM9bOBaQD`SF_RHZQJYPLXONWNMVMLULJTKI\ SKHRKDQKDQKDQKDQKCQKCQKCQKCQKEQKGQKIQKKQKMQKOQKQPK\ SOKTNKUMKVLKWKJXKHYKFZKD_KD`KC_KCZKCXKCWKCVKCTKCSK\ CRKCPKCOKBNLBLMBKMBJNBHNBGOBFPBDRBCQU7UO8UMzzKuzIs\ wGquEosCmqGkoFimFfkFdiEbgE_eEYcDWaDT_DRYDPWCMUCKSC\ IQBGOBFMFKKKKKPKKUPKZUKcZKhXJlVIiTHeRGbPHZNJWLKSJL\ PHNLFOIDPE31l44h56e58b6A_7CX7EU8GQ9IN9KKAMHBOEzVQu\ UOqUNmTMhTLdSJ`SIWSHSRGOREJQDFQCsBnlEhfGb_IXUKSNMM\ HOGMw`LuZLtYKrXKqWJoVJnUIlTIkRHiQHhPGfOGeNFcMFbLE`\ KEaIDbHDcGCdFCeEBfDBgCVh`TiZSjXRkWQlUOmSNnRMoPLpOJ\ qMIrKHsJGtHEuFDvECwC6xV9yLcz7az8_z8Yz8Wz9Uz9Sz9Qz9\ OzAMzAKzAIzAGzBEzBCzBGzmFzkFziFzgFzeEzcEzaEz`EzZDz\ XDzVDzTDzRCzPCzOSzFNzBHz7 } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 19-05-05 (Siamese Quadruplets [6])
by Jim Muth 19 May '05

19 May '05

FOTD -- May 19, 2005 (Rating 6) Fractal visionaries and enthusiasts: The 'Miracle' fractal that appeared two days ago as the FOTD for May 17 has a small knot-like feature lying just below the large prominent midget. At first glance, this feature appears to have a smaller midget at its center. But first impressions can be deceiving. There is not a single midget at the center, but four midgets, all connected like siamese quadruplets. This configura- tion is so unusual that I chose it as today's FOTD. Unfortunately, I put too little effort into the coloring, with the result that the image can be rated no higher than a 6, which is still a bit above average. The render time of just under one hour is slow, but relief may be found on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the image will has been posted. I am not the first to put today's four crowded midgets before the public. I received an e-mail yesterday directing me to a web site where another view of today's FOTD scene had already been found and rendered, and is now on display. A second view of today's fractal may be found at: <http://linuxenvy.com/bprentice/Fractals/BP_10_11a.jpg> Lots of sun, picturesque clouds, and a high temperature of 73F 23C, made the fractal cats' day quite enjoyable on Wednesday. My day was fair, which is about all one could ask for. Today is starting sunny and mild. It looks good for the duo! The next FOTD will appear in 24 hours. Until then, take care, and if you need comfort in time of despair, forget skeptical science. Turn to fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= SiameseQuadruplets { ; time=0:50:04.81--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=mandelbrotn passes=1 center-mag=-1.74985153643764000/+0.000004747703553\ 00/1.616436e+010/1/-70/-0.000126419308237250838 params=2.000001/0/0/0/0/0 float=y maxiter=42000 inside=0 logmap=780 periodicity=10 colors=000hrZhrZhrZhrZhrZhrZhrZhrYhqXhpWhoVhnUelTc\ jR`hPZeNWcMTaKRZIOXGMVEITCGQAEO8CM6AM5CN7DP9FRAGTC\ IVDKYFM_GOaIQcJSeLTgMReOQcQPaRO`TMZVLXWKVYJU_IS`GQ\ bFOdENeDLgBJiAHj9Gl8En7Co5Aq49s37t25v14w58s9BpCEmG\ HjKLfNOcRR`VUYYXVa`RecOhfLliIolFinHcpJYrLStNMvPGxR\ HvQHtPHrOIpNInMIlLJiNKfPLdQMaSN_TOXVPVWQSYRQZSN`TL\ aUIcVGdWDfXBgY8iZ6j_3l_1mZ3lY4lX5kW6kV7iU8fT9dSAbR\ C`QD_PE_OF_NG`MH_LI`KJ`MIbNHcOHePGeQFgSFhTEjUDjVDl\ WCmYBoZBo_Aq`9ra9rbBocCmdDjdEheFffGcgHagI_hJXiKVjL\ SjMQkNOlOLmPJmQHnRGnRFnREnRDnRCnRCnRBnRAnR9nR8oR8o\ R7oR6oR5oR4oR4oR3oR2oR1oR0oR0BwgFufJteNudQvcUwbYxa\ `y`dz_hzZlzYozXszWwzVzzUtzTnzThzTczTYzTSzTNzTMzULz\ VLzVKzWKzXJzXJzYIzZIzZGz`FzbDzdCzfBzg9zi8zk6zn5zm4\ zm3zm3zm2zm2zm1zm1zm4zm7zmAzmDzmGzmJzmLzmOzmRzmUzm\ Xzm_zmbzmdzmgzmjzmmzmpzmszmuzmqzmnzmkzmhzmezmbzm_z\ mXzmUzmRzmOzmLzmIzmFzmCzm } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 12-05-05 (Sandy Masks [6])
by Vortex Swirling 18 May '05

18 May '05

>If it did change shape, many of your past FOTD's would change shape when >generated, but the previous gifs and our memories of them should remain the >same. Wait a minute... is this true? Or would it be that the Fractint program would continue to generate the FTOD's the same way as before except that it would now be doing it incorrectly? I should have gotten all sorts of greif on this... spring fever I guess. >But how could this be? Math is math isn't it? If it's not, then how could >you use math to describe everything which would have to include these other >universes. Would anyone care to comment on this??? I'm no math guy here, but I've always been interested it. I know that math is a tool we've invented. But there are some things about math, such as the commutative property of addition that seem natural. Could we use math to include a set of universes where addition did not have this property? Or is it because we (well, at least I) can't even imagine it, that we can just leave something like that out? -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.11.10 - Release Date: 5/13/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.11.10 - Release Date: 5/13/2005

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FOTD 18-05-05 (Taken Too Far [8])
by Jim Muth 18 May '05

18 May '05

FOTD -- May 18, 2005 (Rating 8) Fractal visionaries and enthusiasts: In today's image we carry yesterday's line of investigation very close to the limit. We even appear to have taken it too far. We have lowered the exponent of Z to 2.0000005, causing the midget at the center to become squashed. There is a very good reason the midget looks flattened. It is not a single midget at all, but rather an overlapping series of narrow slices of midgets that fit together and overlap into a single quasi-midget shape. The location of the scene is once again very close to the negative X-axis. If I had given a bit more effort to the coloring, I might have created an image with a rating of a 9. As it is, the rating of 8 will have to do. Perhaps the most striking thing about the image is the irregu- larity of the pattern around the midget, which lies in the east valley of a larger midget but shows little signs of being in such a location. The image is downright slow. I must apologize for asking the FOTD readers to donate over one hour of precious computer time to the task of rendering a fractal. But the image is available in all its rendered glory on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather remained rather chilly for the season here at the Fractal Central on Tuesday, but all in all it has been pretty pleasant lately. With the temperature hovering around 68F 20C, the fractal cats enjoyed several hours in the yard, and came in- doors without complaint when the day ended. Today is starting the same, so things again look good for the duo. The next fractal will appear in 24 hours. Until then, take care, and the natural numbers would likely work the same in all possible universes, but what about the complex numbers? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Taken_Too_Far { ; time=1:02:52.24--SF5 on a P200 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN passes=1 center-mag=-1.74999510927507200/+0.000002281131930\ 25/4.613838e+010/1/-15.0001714311493615/0.00017721\ 8687510645456 params=2.0000005/0/0/0/0/0 float=y maxiter=50000 inside=0 periodicity=10 colors=000zzszzwzzzzzzzzzzzzzzuuzqqwllqffmaahXXcRR\ ZNLVHHPAAL53F00U0ZP0eQ0aO00R00K0070gZ0US07J1CL5HPA\ LTFPXHTZLXaP`fTchXhlZloaosfsujwxmzzozzszzwzzzzzzzz\ zzzzzzzzzzzwzzuzzqzzmzzlzFu`JxcNzhPzlTzoXzsZzwazzc\ zzhzzlzzmzzqzzszzNzz0zz0zz0zz3zzAzxFzuLxqPsmVlj`ff\ c`ajVZmPVsJRwCNzJPzNRzRRzVTzZTzaVzfVzjXzmXzoVzoVzo\ VzoVzoVzoVzoVzqVzqVzqVzqVzqVzqVzqVzsVzsVzsVzsVzsVz\ sVzsVzuTzwRzxRzzPzzNzzNzzLzzJzzJzzHzzHzzNwqTufXqXa\ aNfJHRJCJ05C07F09H1BJ3DQ5FQ7HUAJYCL_FNaHPbJReNThPV\ lRXqVZuX`xZbzadzcfzfhzljzqlzumzzmzzmzzmzzmzzmxzmjz\ mVsmFlm0cm0jm0om0um0zm0zo1zq7zsHzuNzvTzw`zxfzumzss\ zqxzozzmzzlzZff0a10f50j71mCAqFJuJPxLLzRJzXHz`FzfCz\ j7zo5zu3zx1zz0zz0zz0zz0zz0zx0zw0zu0zs0zq0zo0zm0zl0\ zh0zc0z`1zX1zT3uP5oL5jH7cC7Z73TF1NJ0HP0AT03Z00a00h\ 00l00o00q00s00u30w70xC0xH0zL3zP5zT7zVAzXFzXJzZNzZR\ zJzwPzzVzz`zzfuzzzjzzmzzq } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 17-05-05 (Miracle [9])
by Jim Muth 17 May '05

17 May '05

FOTD -- May 17, 2005 (Rating 9) Fractal visionaries and enthusiasts: In the past I have several times been asked if I believe in miracles. The answer depends on the definition of the word 'miracle'. If a miracle is seen as a violation of natural laws brought about by the intervention of a supernatural deity, then I do not believe in miracles. True, many things take place that defy natural explanation, but these events are merely things that are not yet understood. They ultimately will be explained and then be seen to fit into the natural scheme of things, which will expand to include them. If a miracle is taken to be an event so unlikely as to be almost impossible, then yes, I do believe in miracles. People who desperately need money sometimes do win lotteries. A miracle of the latter variety appears in today's image. On the surface, the parent fractal of today's image is a Mandel- brot set. But the exponent of Z is 2.000001 instead of 2, which means it is not exactly a Mandelbrot set, but merely a very close approximation. One must search deep to find the tiny differences, but when they are found, they are so unexpected as to be a virtual miracle. Today's image lies deep in East Valley of the large midget on the main stem of the almost-M-set. It is so unlike anything in the true M-set that it must be considered a miracle, which is why I named it "The Miracle". The rating of a 9 may in fact be a bit conservative, but I am very hesitant about giving today's fractal a rating of 10, especially when I have not yet taken today's line of investigation to its limit, and do not yet know what I might find when I do. I could have used the manzpower formula to draw today's image, but that formula takes 12-1/2 minutes to finish the rendering. The MandelbrotN formula finishes in only 9 minutes, so this is the formula I used. Of course, rendering may be totally avoided by downloading the finished image from Paul's FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The fractal cats were happy on Monday when the sun shone and the temperature reached 72F 22C. This morning is starting cooler with a mixture of sun and clouds. Hopefully, the duo will be happy again. I'll be happy when the work is behind me. Until next FOTD, take care, and where will we go from here. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Miracle { ; time=0:09:05.32--SF5 on a P200 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN passes=1 center-mag=-1.74985154197874100/+0.000004742589482\ 00/1.061936e+008/1/-162.5/-4.55138188755477291e-007 params=2.000001/0/0/0/0/0 float=y maxiter=2400 inside=0 logmap=325 periodicity=10 colors=000eKndKmcKlbKkaKj`Ki_KhZKgYKfXKeWKdVKcUKbT\ KaSK`RI_QGYO9WMFUKLS4Q31X06a0Af0Dl0Ip4Mu9PzDTzIXzM\ azJfsIllGpcDvXCzPAvLDsIFpFGlAJi7Lf4Mc1OX7JQDGLJCDP\ 97V41`1CTAMOIXIP`LMcOJfQGjTDmXAp_9mf6jm4gs3dz1az0O\ fLAIc9Pf7Vg7`i6gj4ml4sm7v`AyODzAFz070zF0rL0jS0cY0V\ d0Oj0Gp09u0Jx0Tz0csAXmOPg`IaoAXz3Qz0`zAiyPrrazjpzc\ zfgoFl`PVP_DDi03c6CYFJSOQMVYGcdAll4us0zzIos`alsPfr\ LdpIdpFdoCdo9dUUUcccmmmzzzzzzzzzzzzzvzzszzpzzmxzju\ zgrzdoz_mzTmzOmxIlsClp6lm1lo0mo0op0pp0rr0sr0ur0uj3\ jcJaXYTSVSOSQJPPFMOCLOLIQTGS`DTiCVr9Xy7YoDQdJLXPDM\ V7C`03d0LzzCzg3zITdzOgzJjpFmc9oS4rF0u3MO0D_04j0_00\ T40PC0JL0FSOA_F4g70o0mXzf`r_ciTf`MiSFmI9p91s0Lr9Gs\ 6Ds39u06u01v00v04_LlOG0Az0Qf0fGpSOa`FOg79o0Cgz3oTv\ Xmfc_QiLAp60zI0zD0z90z40y00y0VzOQzJMzFKzAPz7Uz3Zz0\ cz0hz6kz3nz1qz0tz0wz0zz0zzLzzFzzAzz6zz0zz0zzQzzQzz\ Qzz9zzZzzOzz7zzCzz9zz6zz3 } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 16-05-05 (Galaxial [6])
by Jim Muth 16 May '05

16 May '05

FOTD -- May 16, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's image continues the adventures of our 'almost' Mandel- brot set, in which the exponent of Z is 2.0001 rather than 2. This time we have rotated the set until the large southern filament intersects the negative X-axis. As expected, the filament breaks up near the point of intersection, and the midgets on the filament do strange things. The discontinuities in today's scene are so slight as to be almost invisible, but the large, totally chaotic area around the midget is something unexpected on the southern filament of the M-set, where ever more finely divided but sharply defined filaments are the rule. I named the image "Galaxial". The word simply came to mind as I stared blankly at the image. (I do a lot of blank staring.) The rating of a 6 is a bit above average, and the render time of 20 minutes is a bit above average also. The download from the FOTD web site is as convenient as always, though it does require going online at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather threatened on Sunday here at Fractal Central, but the rain never fell and the temperature rose to 75F 24C. The cats took full advantage of the situation by spending most of the afternoon tucked safely away in the holly patch. After heavy rain during the night, the morning is starting cooler but with full sun. The cats will likely find the day acceptable. My day will feature some work and a few fractals. Until next FOTD, take care, and watch your excess iterations. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Galaxial { ; time=0:20:38.24--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-1.04146049900585600/-0.000000303888590\ 44/8.407404e+010 params=2.00001/0/142200/0 float=y maxiter=4200 inside=0 logmap=547 periodicity=10 colors=000D_6E_8F_9G_AH_CI_DJ_FK`GNaHQbGTcGWdGZfFa\ gFdhFgjEjkGmlIpmKsnMuoOwpQxqSyrUwsVutWsuXovYkwZiu_\ gs`cpa_mbWjcSgdOceK_fGWgCSh8Oi6Me2Ka3IY3GU4FQ5HM6J\ K6LK7NK8PK9RK9SKFTKLUSRUdTSaVR_WPXYOVZMS`LQaJNcILd\ GIfFGmDDwCBoB9bECWHFPKIHNLAQO3SQ9PUENXKK`PIcUFf_Dj\ dAmj8qo5tt3wd5sQ7oB8kC4kYHTrTAgdEYoIaoNeoSfSqkMrpG\ stBtpIhlOYhVMd`B`f0QZIGR_6Kp4Ls3Lu2Lw1Ly2Ns3Pm3Rh4\ Tb5VX5XS6ZM6_H7aH7bH7cH7dH7eH7fH7gH7hHAfLDePGcTJbX\ Ma_KVUJPOIJJHQIHWIGbHGhHWiEkiBghFcgJ_fMWfQSeUOdXKc\ `Gccbdnyextcvpbulash_rdZp`Yo_blZgiYlfYqdXkdXedW_dW\ UdVOdVIdUCdU7d`AffChlEjrGlzzhzzKbzdmzlxzsbz__zTXzM\ VQGXOKZNN`LQaKTcIXeH_gFbhEefJZeOSdSMcXFb`9moyggsa`\ mWThQMbKEXF7SK5aO4jPEfPNcPW`PdXPmUPvRTVVW4Yudntgis\ ierlarnYqpUpsQouMowIjqNekRaeWX`_SVdOPhJJmFEqDKnBQk\ AWi8af7gd5ma4r_8hcCZfGPjJFmMJnONoRRoTVpVZpX`hYaaZb\ U_dN`eFaf8bg1`dBZbLe`3b`5 } 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 15-05-05 (Alternate Reality [6])
by Jim Muth 15 May '05

15 May '05

FOTD -- May 15, 2005 (Rating 6) Fractal visionaries and enthusiasts: In today's FOTD we continue rotating a near-Mandelbrot set to see what happens when its various parts cross the big split on the negative real axis. We have gone only 7500 levels up the spiral, to a point where the big split intersects the south branch of Seahorse Valley. What we have found there is a midget with the typical Seahorse Valley features, but with those features broken and re-arranged. I have named the image "Alternate Reality". Alternate realities are currently quite fashionable among the popular-scientific set, and I might as well go along with the trend of the times. And who knows? There really might be an infinity of myselves in nearby but invisible universes, becoming world famous by finding the greatest fractals of all time and showing how the fractals are the solution to the search for the theory of *almost* every- thing. Maybe an infinity of myselves have actually managed to include self-awareness in the theory and solved a theory of *actually* everything. What I keep wondering is, are these alternate-reality fractal geniuses really me or merely others who just happen to look like me? Today's image will solve no theories of anything, but it managed to earn a rating of 6. The render time of 1/2-hour is a bit too high a price to pay for such an image, so I advise downloading the finished product from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a high temperature of 83F 28C, and with full sun, Saturday turned out to be unexpectedly pleasant here at Fractal Central. The two Fractal Central cats made the most of things by spending the entire afternoon in the yard. The weather grew threatening in the evening, when thunder started rumbling, but by the time the rain arrived, the cats were safely inside. Today is start- ing much the same, with showers again forecast. The next FOTD will appear in 24 hours. Until then, take care, and if your fractal seems corny, shuck it. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Alternate_Reality { ; time=0:30:27.54--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.75104206020983430/+0.000000728984679\ 96/7.145716e+008/1/-72.5/1.56923412979181887e-006 params=2.00001/0/7500/0 float=y maxiter=6000 inside=0 logmap=668 periodicity=10 colors=000qIRpIPpJMoJJoJHnKEnKBnK9jMEgNIdPMaQQZSUW\ TYTUbQWfNXkKZoH_tE`xFbzGdzHfzHfzJczK_zLWzMRzNLzMKx\ MKuLJrLJpKJnKIkJIiJHfIHdIHbKIaMJaNKaPLaRMaSMaUNaVO\ aXPaZQa_QaaRacSadTafUagUaeS`dR_cQ_bPZaOY`MY_LXYKWX\ JWWIVVGUUFUTETSDSRCSUGUXJV_MXbPYeSZhV`kYan`cqcdtee\ qefndfkdghcgfchcbh`biYaiWaiYckZel_gm`ioakpbmqcosdq\ tesufuwgwxhyyizzhtvgnrfinfckeYgdTccN_cIXZTZUb`Plad\ kMsj7oiEkiKhhQdhX`gbYgh_bg`ZfaUfbQedMdeHdfDcg9ciH_\ kPXlXUndQplNqoKopMnqOmoPknRjlTikUghWffYedZcaYaYX_V\ WYSVWQUUPUSMTQHSOCRMAQLAQKASEANBAK8AMHCXHGYGK_FO`F\ SaEWcDadKgeUmfcqgmzhUihKaiC_jCZkCYmBXlBWmBUnBTnBSo\ BAZBQqBPqTQniQlfPkcOk`NkYMkVLkSKjPJjMIjJHjGGjEGjFF\ lGFmHGnIGpKGqMHrOHtQHuSIvUIwWKuYLs_MqaNocOmePlgQji\ RhkSfmTdoUcqX`s_YubVweSxhQzkAzjDziGzhIzgLzgOzhQziT\ yjVykYxl`wmbvnevogupetqcsrars_ptWquXqvYrzZrx_cyYez\ YgzZizZmzXlzYkzZrzZrzXqzU } 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 12-05-05 (Sandy Masks [6])
by Vortex Swirling 14 May '05

14 May '05

>Heavens, if the speed of light can >change, what will be next -- the shape of the Mandelbrot set!? If it did change shape, many of your past FOTD's would change shape when generated, but the previous gifs and our memories of them should remain the same. This is an interesting idea. I hadn't thought of it changing shape over time, but I've often wondered if in other universes the Mandelbrot set might look different than it does here. But how could this be? Math is math isn't it? If it's not, then how could you use math to describe everything which would have to include these other universes. -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.11.10 - Release Date: 5/13/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.11.10 - Release Date: 5/13/2005

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FOTD 14-05-05 (Pseudo-Bailout [5])
by Jim Muth 14 May '05

14 May '05

FOTD -- May 14, 2005 (Rating 5) Fractal visionaries and enthusiasts: Yesterday's FOTD took us 100,000 levels up the complex-log hyper- spiral of the Z^2.00001+C Mandeloid. Today's image takes us 940,000 levels up the spiral, to a level where the M-set is rotated 180 degrees, and East Valley lies on the negative real axis, which is where the tiny discontinuities are concentrated. Today's image is a scene in East Valley, very close to the nega- tive real axis where the major split occurs. It consists of typical East Valley stuff, but the stuff is broken and arranged in unfamiliar ways. I named the image "Pseudo-Bailout" because it gives the impression that it lies very close to the escape radius, which in this case is 100. All things considered, the rating of an average 5 seems appropri- ate. The render time of 6-1/2 minutes can be shortened by down- loading the completed GIF file from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The clouds won the battle with the sun here at Fractal Central on Friday. As a result, the high temperature was held to 61F 16C. This was good enough for the dynamic duo however, and they spent several hours lurking in the holly thicket. Their day ended with tuna. Today is starting partly cloudy with showers and warmer temperatures forecast. Things look marginal for the duo. For me, things look settled. For the fractals, things look infinite. The next FOTD will appear in 24 hours. Until then, take some care, and if life serves a cheeseburger, hold the onions. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Pseudo-Bailout { ; time=0:06:32.83--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.27532277851590110/-0.000000442416795\ 04/1.680416e+007/1/132.50000002129633/-2.537899397\ 58108929e-008 params=2.00001/0/940000/0 float=y maxiter=2000 inside=0 logmap=125 periodicity=10 colors=000PSFQUFRWFSZET`EUbEVdEWfEXiDYkDZmD_oD`qDa\ sDapDamDakDahDaeDacDa`DaZDaWDaTDaRDaODaLDaJDaGDaED\ bHGcJIdMLeONfRQgTShWViZXi`Zjbakeclgfmihnlkonmpqpqs\ rqutrvprvmrvjrwgrwdrwaswZsxWsxTsxQsyNsyKtyHtyEtzBt\ z8tz5tz2rv5qs8ppBomEnjHmgJldMkaPjZSiWVhTYgQ_fNbeKe\ dHhcEkbBna8p2JX3KY3KZ4K_4K`5Ka5Kb5Kc6Kc6Kd7Ke7Kf7K\ g8Lh8Li9Lj9LjALkALlALmBLnBLoCLpCLqAMsCLqEKpGJoIJnK\ IlMHkNGjPGiRFgTEfVDeXDdZCb_BaaA`cA_e9Yg8Xi7Wm4Sj7V\ h9YfC`dEbbGe_JhYLkWNmUQpSSsQUuNZtLctIhsGlsFjnEijDh\ eCfaBeXAdT9bO8aK2bC7`GB_JFYMJXQNVTRUWVTZZRbbQefOhj\ NlnLorLrxMwvNutOtrPsqQroRqmSokTnjUmhVlfWkdXicYhaZg\ __fY`eXacVbbTcaRd`PeaQf_RgZRhYSiXSjVTkUUlTUmSVnRVo\ PWpOWqNXrMYsLYtJZuIZvH_zG_xFXyGVzGTzHRzHOzHMzIKzII\ zIGzJDzJBzJ9zK7zK5zK6zO7zR8zV9zYAzaBzdCzhDzkEzoFzr\ EzwFzuFzsFzrFzpFznFzmFzkFziFzhFzfFzdFzcFzaFz_FzZFz\ XFzVFzUFzSFzQFzPFzNNzFOzF } 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 13-05-05 (Near a Mandelbrot [5])
by Jim Muth 13 May '05

13 May '05

FOTD -- May 13, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today is Friday the 13th, an event that happens once or twice every year. It is supposed to be a bad luck day, though I doubt that is any unluckier than any other day of the year. Nothing unusually bad has ever happened to me on a Friday the 13th, so I consider the bad luck thing to be an unfounded superstition, most likely originating long ago, when the decree that ordered the elimination of the Knights Templar was passed on a Friday the 13th. My view would seem to be confirmed by today's image, which is notably un-notable. Today's image is a scene in a fractal that is almost a Mandelbrot set. What keeps it from being a Mandelbrot set is the exponent of Z in the iterated formula, which is 2.00001. This is a very tiny difference, but to make a big deal of a minor event I examined the fractal 100,000 levels up the complex log hyperspiral, at a level where it has rotated approximately 70 degrees. At this level the negative real axis cuts through what is normally the S.S.W. shoreline of the M-set. At this lofty level, the parent fractal still resembles a classic Mandelbrot set, and the inner detail is basically unchanged. The one difference is along the negative real axis, where a tiny discontinuity exists. This break is so small that it does not become visible until the magnitude reaches 500000, but the break still does strange things to the inner detail of the area. The name "Near a Mandelbrot" refers to the exponent of Z, which makes the parent fractal nearly but not quite a perfect Mandelbrot set. The rating of 5 means that I am not unusually impressed by the image. The render time of almost 17 minutes is slow, making a download of the completed image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> a wise choice. The clouds cleared unexpectedly on Thursday afternoon, giving the fractal cats an unexpected great afternoon in the holly thicket. For 15-year-old cats, a great afternoon means a peaceful uneventful afternoon, and peaceful it was. When they returned indoors in the evening, a small tuna treat closed their day with a whimper. Today is starting with sun and clouds. It remains to be seen which will prevail. For me the work is rather light, which will give extra time for fractals. The next FOTD will appear in 24 hours. Until then, take care, and if life serves you an apple, make it a napple. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Near_a_Mandelbrot { ; time=0:16:54.64--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.70976131907690630/+0.000002313855428\ 97/3.870999e+007/1/42.5000007756963427/-1.18881678\ 390359014e-007 params=2.00001/0/100000/0 float=y maxiter=4000 inside=0 logmap=395 periodicity=10 colors=000aPTaOUbOVcOWcNXdNYdMZeM_eL`fLafLagK_gKZg\ KYgKXgJWgJVgJUgJTgJSgIRgIQgIPgIOgINgHMgHLgHKgHJgHI\ gGHgGGgGFgGEgGDgFCgFBgFAgF9eC9gF8hH8iK8kM7lO7mR7oT\ 7pW6qY6s_6tb6ud5wg5xi5zj3yk5yk7yl8ylAylBymDxmExmGx\ nHxnJxnKxoMwoNwpPwpQwpSwqTwqVvqWvrYvrZvr`vsavscvsd\ tqcrobpmbnkaliajg`hf`fd_db_b`Z`ZYZXYXVXVUXTSWRQWPO\ VNMVLKUHIZKJUMKPOLLRLGTMCVN7XN3DWh`YWw_JvYOvWTvVXv\ TauSeuQjuPnuNsuMwtNusOtsPsrQqrRpqSoqTnpUlpVkoWjoXh\ nYgnZfm_em`clabkbakc_jdZjeYifXigVhhUhiTgjRgkQflPfm\ OenMeoLdpKisFdpJ_mNWjRRgVNdZIabEZf9bj4fo5gn5fn5dm5\ em6el6dl6ak6fk7cj7Sj7Si7Si8Rh8Rh8Rg8tg9zf9zf9Qe4Od\ 7Pe9QeBQfDRfGRfISgKTgMThPUhRUhTViVViXWi_XjaXjcYkeY\ khZkjZll_ln`mq`msamuanwbnybnx`oxZoxXpxVpxTpxRqxPqx\ NrxLryLsxKrxJrxJrxIrwHqwHqwGqwGqwFqvEpvEpvDpvCpuCo\ uBouBouAou9ot9nt8nt7nt7ns6ms6ms5ms4ms4mr3lr2lr2lr1\ ls0mt0mu0mv0mw0mx0my0mz0m } 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 12-05-05 (Sandy Masks [6])
by Jim Muth 12 May '05

12 May '05

FOTD -- May 12, 2005 (Rating 6) Fractal visionaries and enthusiasts: In this ever-changing world, only a few things remain constant -- things such as the velocity of light and the mass of the electron. Or do they? I have just received the June issue of 'Scientific American' magazine, and in it I see an article that examines the possibility that these constants have changed over the life of the universe. Heavens, if the speed of light can change, what will be next -- the shape of the Mandelbrot set!? Today's formula is not new, but I have included it in my working 'allinone' formula file for the first time. It works exactly the same as yesterday's formula, except that it calculates (-Z) rather than Z. To produce today's image, I set the exponent of Z to 1.5 and examined the resulting Mandeloid for a point that might have an interesting Julia set associated with it. The result is today's image, which reminds me of discarded masks lying scattered on a sandy beach. I named it "Sandy Masks". I have no idea what kind of wild party might have been in progress on the beach the night before, but it must have been interesting. The image itself is . . . not bad. It rates a 6. The render time of (virtually) exactly 4 minutes is not bad also. The ease with which the completed GIF image may be downloaded from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> is once again not bad. Another near perfect day, with lots of sun and a temperature of 81F 27C, pleased the dynamic duo here at Fractal Central on Wednesday. Today is starting cloudy and cooler. It is not too bad a day, but still not up to yesterday. The cats will have to make a judgement. For me it's a matter of doing the things that need to be done, and then pondering the mysteries of the uni- verse. The next FOTD will appear in 24 hours. Until then, take care, and if life serves you a peach, ignore the pit. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Sandy_Masks { ; time=0:04:00.01--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JulibrotInvZ passes=1 center-mag=-0.0578953/0.074155/5.143809/1/-95/8.94\ 423424213641738e-014 params=1.5/0/0.5/0.703027/0/0 float=y maxiter=2500 inside=0 outside=real logmap=yes periodicity=10 sound=off colors=000GfmHdkIbjK`iLZhMXfNVeOTdPScSVdUYdW_eYbe`\ dfbgfdigflgkpjhngflddjabh_`fXZdUXbRU`PSZMQXJOVGMTE\ KRBIP8GO6MP9SQCYREbRHhSKnTMtUPyURvXUt_Xra_odbmfeki\ hhlkfnndqqbstip1jn2jm2kk2kj2kh2lg3le3ld3mb3ma3n_4n\ Z4nX4oW4oU45xLoT4qV6rW7sX8tY9uZAv`CwaDxbEycFzdGqgI\ hiK`kMSmOKoQBqS4yW3sT3mQ3hN3bK3YH2SE2NB2H82C526221\ 054476798BBAEDCHFELIHOKJSMLVONYQPaSRdZOhUTgPXfK`eG\ ddBhc6lb2pau0iu1gu1fu2du2cu2bu3`u3_vgzu3Zt2Ys2Xr2X\ q2Wp1Wp1Vo1Un1Um0Tl0Tk0Sk0Sm5Un9VoDWpIXrMYsQZtV_uZ\ `wbaxgbykczodxl`wjXvgTuePtcMs`IrZEqWApU6oS3nR5nR7n\ R8nQAnQCnQDnPFmPHmPImOKmOMmONmNPmNRySUmNSaIRQDPE8O\ 23N95LF7KL9JRBIXDHbFGhHFnJEtLDzNCtKDnHDhFDbCDXADR7\ DK1AL5DM9GMDJNHMOLPSSTOOSLKRIHQEDPBAO86N53M4BO3IQ2\ QS1XU9VYHT`PSdWQgcOkkNnsLrzKuwMstNrqOqnPpkQohSneTm\ bUk_VjXWiUYhRZgO_fL`e6puJadVOOfA8tuHrpLqlOpgRncUmZ\ XlV_jQbiMehHhjEogDkEjoFhn } frm:JulibrotInvZ {; Jim Muth ; Draws oblique slices of order n inverse Julibrot Figure ; P1 defines power of Z, P2 determines center of slice ; P3 determines angle of slice z=pixel, c=p2+(pixel*p3): z=(-z)^p1+c, |z| < 100 } END PARAMETER FILE=========================================

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FOTD 11-05-05 (Square Spiral [7])
by Jim Muth 11 May '05

11 May '05

FOTD -- May 11, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today we break out a brand new formula, which draws previously unavailable slices of 4-dimensional Julibrot figures. In today's image I have visited the strange Julia rectangle located near the East Valley of the large midget on the infinitely-divided main stem of the Z^2.003+C Mandeloid. The image is not sliced exactly in the Julia direction, but within a degree or so of it. At this angle, the rectangle is filled with curious square spirals, one of which is proudly displayed in today's fractal, which I have named "Square Spiral". The rating of a 7 refers to the unusual nature of square spirals. At just under 3 minutes, the image is merci- fully fast, but downloading the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> could be even faster. Another perfect day graced Fractal Central on Tuesday. The blue sky and temperature of 73F 23C were just what the cats needed to make their day near perfect. Today is starting much the same. The cats will be happy. For me a small pile of work waits to be tackled, but it is nothing that I cannot put behind me in a few hours. The next FOTD will appear in 24 hours. Until then, take care, and if life hands you an artichoke, don't lose heart. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Square_Spiral { ; time=0:02:54.13--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JulibrotZ passes=1 center-mag=-0.00154935845008699/+0.075340678877674\ 77/5666.728/1/-90/3.88578058618804789e-016 params=2.003/0/-1.7434/0/0.003/0.001 float=y maxiter=3500 inside=0 logmap=91 periodicity=10 colors=000zRS9`cQ_fccil`lz`qzalzcizcezd_zdTzcNzdHz\ dBzb5z_HxWSuSYpPfm5jf5g`6aU7XO8QI8JC9D7771945C68D8\ 9G8CIAELCGMCJPEKQENTGPVHRYIT_JW`LYcL_dNbgNciPflRhm\ RjpTmrUouUqvWsxWz`mz6zz8zzBzzDyxGxuJvrMuoPsmQrjSoh\ VmfYld`jcci_cgXcfUcdSfcPibMlaKo`Hr`EuYCxY9yXAvZAs_\ 9p`BoaAlaAicBgdBdfBbgCaiA_jAZlAWlAVmAUmBSo9Rp9Pp9N\ r9LrAKsAIs8Hu9Ev9Dv9Cx99x99y76z65z64z61z60z60z90yC\ 0vE0rH0oJ1lL1gN2dP3`R3YT4VX6R_6Pa8Md9KgAIfDKfGLfJM\ fMOfPPfRQdTRdWTdXTd_UdaWdcWddXegZejZgm`hpbhsbivdix\ ehuehsggrgephdohamh`jhZihXhiWgjVflUelScmRboQapP`rN\ _sMYuLWvJVxIUyGSzFRzFQzITuKXoKZgM`aOdZSiVUmRUrKWvE\ Yy9ZxCZvEZuIZsK_sM_rP_pR`oUamXamYbl`cjccidciecgedf\ fdgidglehmegpegsfgvfgxgdrgalg_giZdlYaoWYrUUuSPxQLz\ PFzNAyMCvKCsJBrHBoHBlGCiECgCBdCBaAA`9AY7BV5AS5AQ49\ O29L09I09G09D08A08907E5PKGfPPxjjjzzUpzLezCVz4Wz_Tz\ xNp`MvYLzYKzXJzXzURzUSzST } frm:JulibrotZ {; Jim Muth ; Draws oblique slices of order n Julibrot Figure ; P1 defines power of Z, P2 determines center of slice ; P3 determines angle of slice z=pixel, c=p2+(pixel*p3): z=z^p1+c, |z| < 100 } END PARAMETER FILE=========================================

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FOTD 10-05-05 (Grandson of Scene [4])
by Jim Muth 10 May '05

10 May '05

FOTD -- May 10, 2005 (Rating 4) Fractal visionaries and enthusiasts: Has the FOTD 'jumped the shark'? Jumping the shark refers to the outstanding event in a great series that marks the start of the decline in quality that leads inevitably to the end of the series. The past few weeks have hardly seen great FOTD's. The images have been ho-hum. The discussions have been terse and have merely repeated what everyone already knows. The philoso- phy is still brewing, but seems stuck in some grey nether land. There has been no outstanding event, but I must keep careful watch over this trend. Today's image is a close-up of the midget that appeared at the center of yesterday's 'Son of Scene' image. What name could be more appropriate than "Grandson of Scene"? Three consecutive visits to the same point in the world of fractals really is a bit too much. I could therefore rate the image no higher than a lowly 4. To make matters worse, the render time of 55 minutes is well into the slow range. With its broken arcs, diffuse shorelines, and small crooked buds, the midget is about what would be expected in a fractal of order 1.5. The magnitude of almost 6x10^11 is high enough that I included the mathtolerance entry in the parameter file to be certain that the image renders at the correct size. The best way to avoid rendering problems is to download the pre- rendered GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Monday's weather was the best so far this spring here at Fractal Central. Absolutely clear skies, gentle winds, and a tempera- ture of 77F 25C were just what the fractal cats were waiting for. The 9 hours they spent in the yard set a new record for time outdoors in a single day. Today is starting with more blue skies and warmer temperatures, it looks to be another great cat day. For me it looks like just another workday. The next FOTD will appear in 24 hours. Until then, take care, and if life serves you a watermelon, spit out the seeds. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Grandson_of_Scene { ; time=0:55:33.40--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 center-mag=-1.25338697940232200/+0.346669700387809\ 50/5.822357e+011/1/-17.5/-0.000441531350640803066 params=1.5/0/1/0 float=y maxiter=25000 inside=0 logmap=1048 periodicity=10 mathtolerance=/1 colors=000cPtbPsaPr`Pq_PpZPoYPnXPmXPlXPkVPjUPgTPdS\ PbRP_QPXPPUOPSNPPMPMLPJKPHJPEIPBHP8GP6xSHsUJnVKjWM\ eXNaYOX_QT`ROaSKbUFcVBdWFfXJgYMiZQj_Tk`Xma_nacpbfq\ cjrdmtequftvfmogfih`ciUYiNRjHLkAFl49l6Bi8DgAFdBHbD\ J`FKYGMWIOUKQRLSPNTMPVKQXISZFU`DVaBR_EOZGKYIHWKDVM\ AUOEKJIAFL0BH2ME3XA4g75qD4oJ4nP4mV3k`3jf3il2gr2fx2\ eU6M0A398GH6TP5eV7k`8qcEpfKoiQolWnn`nqfmtlmwrlywlY\ kaSceMWiHOmBGq69uAEpEIkIMfMQbQUYUYTYbOafKejFinAmr5\ pv1nr2lo2jk2hh3fd3da3bY4`V4ZR4XO5VK5TH5RD6PA6N66L3\ 6QADVHJZNPcUWh`alfgqmnvttzzzqzzhzzkzzczzWzzOzzGzz9\ DABFEDHHFJKHLNJNQLPTNRWPTZRVaTXdVZgX`jZbm`dpbes`go\ _hlYiiXkfVlbUm_SoXUpUZqQcsNhtKmuHqwDtxAwy7zz4zw3zu\ 3zs5zqAzoFzmKzkPziUygZxecwchvamu_rtYvsOztFzpMzlTzh\ Zzdez`lzYrz`pzbozenzgmzjlzlkzojzqizthzvgzsfzpfznfz\ keziezfezddzadzZdzXczUczSczPbzNbzKbzIbzLazO`zR`zU_\ zWZzZZzaYzdYzfXziWzlWzoVz } 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 09-05-05 (Son of Scene [7])
by Jim Muth 09 May '05

09 May '05

FOTD -- May 09, 2005 (Rating 7) Fractal visionaries and enthusiasts: In yesterday's FOTD discussion I mentioned that I had not yet glimpsed the midget that lies at the center of the frame. In today's FOTD image we remedy that shortcoming. In today's image I used the same color palette with only a few minor changes, so today's image closely resembles yesterday's, though the pattern this close to the midget itself is far more broken. Today's image might be considered better than yesterday's, but it is also a near-repeat. Considering both these things, I rated it at a 7, which is the same as the rating of yesterday's FOTD. Remembering those great old 1950's horror movies, I named the image "Son of Scene". Since today's scene is far deeper than yesterday's, the render time is over twice as long. But as always, relief is at hand in the form of the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the completed image will soon be posted. In tomorrow's FOTD, I might zoom in even farther and fill the frame with the midget. We'll see how it goes. The weather was near perfect here at Fractal Central on Mother's Day Sunday. Only a brisk wind kept it from being absolutely perfect. The high temperature of 75F 24C and cloudless skies lured the cats into the farthest reaches of the yard, but the constant blowing of the wind kept them from venturing into regions unknown. Today promises to be equally perfect, with far less wind. We will see what the duo makes of it. For me, the work is moderate and the fractals are unending. Until next FOTD, take care, and be at one with whatever you choose to be at one with. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Son_of_Scene { ; time=0:22:08.76--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-1.25338697940287400/+0.346669700387608\ 00/6.801715e+010/1/-17.5/-0.000864541449251347849 params=1.5/0/1/0 float=y maxiter=4500 inside=0 logmap=655 periodicity=10 colors=0009DABFEDHHFJKHLNJNQLPTNRWPTZRVaTXdVZgX`jZ\ bm`dpbes`go_hlYiiXkfVlbUm_SoXUpUZqQcsNhtKmuHqwDtxA\ wy7zz4zw3zu3zs3zq3zo3zm3zk3zi2yg2xe2wc2va2u_2tY2sO\ KtFapMelThhZkden`lqYrt`ppbomenjgmgjldlk`ojYqiVthSv\ gPsfQpfQnfRkeRieSfeSddTadTZdUXcUUcVScVPbWNbWKbXIbX\ LaWO`VR`UU_TWZSZZRaYQdYPfXOiWNlWMoVLqVLk`HffEalBXr\ 8Sx5Us6Vo6Xj7Yf7Zb7`Y8aU8bQ8gOHkMQpKZtIgxHorRtl_xf\ Wp`SiWPaQLVKHNFEG9A8471`aNVZJQVGLcDMh9Po6Ut3awK_rH\ VjFQbCLVAFM7AE5572867645434322111hAso_bbRTQIJD99uW\ _kQUaLOTGIJAC956sAGk8Dc7BW59O46G24812Qsj4Pw3Ih2CU1\ 6F7qQ5hL4_H3RD2I8194Yp2Sg1MZ1HQ1BH0580e9jX7`P5SG3I\ 819eVCLF6Fp_AZO5HC2ic1YU1NK0BAi43U22F11fsE`lCWeAQZ\ 8LS7GL5AE3571sVUEVxeIAVD7L95A42O8LfoZ`hUWbQQWLLUHG\ XDA_85b4Ne5IhADkF9nK4qPjtU`wZSzcIzh9zm`zrVzvQzzLzz\ FzzAzz5zzazzSzzJzz9zzPzzLzzHzzEzzAzz7zz3zzjzzVzzFz\ zzzzqzzhzzkzzczzWzzOzzGzz } 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 08-05-05 (Scene in a Fractal [7])
by Jim Muth 08 May '05

08 May '05

FOTD -- May 08, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's image is named "Scene in a Fractal". The fractal is the Z^(1.5)+C Mandeloid as it exists 1 level up the complex-log hyperspiral. The scene is located deep in the East Valley of a midget that lies on what passes for the main stem of the fractal, in an area where the patterns around midgets resemble slices of human brains. Actually, the 'main stem' is more of a zig-zagging filament that a main negative stem, and the midgets that lie on it are not easy to find. A sub-midget obviously lies at the center of today's image, though I have not yet ventured down there to glimpse it. The brilliant coloring is an accident that happened as I struck the 'enter' key, which produces a new random color palette at every strike. The rating of a 7 seems appropriate for such a brilliant image. In contrast to yesterday's dawdling image, today's renders in only 9 minutes. The finished product is always available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Saturday was quite a pleasant day here at Fractal Central. The fractal cats made the most of the situation. They were in the yard from before noon until evening. Today is again starting pleasant but the wind is up. Things look marginal for the duo. For me the day looks peaceful; how the fractals turn out remains to be seen. Until 24 hours have passed, and tomorrow's FOTD appears, take care, and where did it all come from? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Scene_in_a_Fractal { ; time=0:09:15.08--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-1.25338697908398700/+0.346669699903004\ 30/2.016383e+008/1/75/7.02462281718108095e-007 params=1.5/0/1/0 float=y maxiter=1500 inside=0 logmap=269 periodicity=10 colors=0009DABFEDHHFJKHLNJNQLPTNRWPTZRVaTXdVZgX`jZ\ bm`dpbes`go_hlYiiXkfVlbUm_SoXUpUZqQcsNhtKmuHqwDtxA\ wy7zz4zw3zu3zs3zq3zo3zm3zk3zi2yg2xe2wc2va2u_2tY2sO\ KtFapMelThhZkden`lqYrt`ppbomenjgmgjldlk`ojYqiVthSv\ gPsfQpfQnfRkeRieSfeSddTadTZdUXcUUcVScVPbWNbWKbXIbX\ LaWO`VR`UU_TWZSZZRaYQdYPfXOiWNlWMoVLqVLk`HffEalBXr\ 8Sx5Us6Vo6Xj7Yf7Zb7`Y8aU8bQ8gOHkMQpKZtIgxHorRtl_xf\ Wp`SiWPaQLVKHNFEG9A8471`aNVWJQQGLLDMH9PB6U03euK_mH\ VfFQ_CLTAFL7AE5572867645434322111hAso_bbRTQIJD99uW\ _kQUaLOTGIJAC956sAGk8Dc7BW59O46G24812Qsj4Pw3Ih2CU1\ 6F7qQ5hL4_H3RD2I8194Yp2Sg1MZ1HQ1BH0580e9jX7`P5SG3I\ 819eVCLF6Fp_AZO5HC2ic1YU1NK0BAi43U22F11fsE`lCWeAQZ\ 8LS7GL5AE3571sVUEVxeIAVD7L95A42O8LfoZ`hUWbQQWLLQHG\ JDAD8564No1Id0DV09K04A0jtI`hESYAIM79B3`CaVAWQ8RL6L\ F5GA3A515ahaSXSJMJ9B9PBML9IH7FE6CA49736313jJfVCSF6\ EzKIqHFhECk6Lc7JW9HOAEGCC } 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 07-05-05 (Comets and Circles [7])
by Jim Muth 07 May '05

07 May '05

FOTD -- May 07, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's annoyingly slow image is a scene deep in the half-moon that appeared in the 'Lunahalf' image 2 days ago. In the original image, the detail inside the circle became obscured when the logmap spread out the iteration bands there. In today's image, the logmap has been turned off and the rendering done with the outside set to 'tdis'. The result is a rather gloomy scene filled with ferns and highlighted by colorful circles and comets. The 'comets' and 'circles' are unusual enough to give the image a rating of a 7. The name "Comets and Circles" describes the colorful objects scattered through the image. The render time of one hour and 40 minutes is very slow. I strongly recommend downloading the already-rendered image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The sky stayed cloudy all day here at Fractal Central on Friday, but the rain stayed east of us, and even though the temperature reached only 54F 12C, the cats managed a reasonably good 2 hours in the holly thicket. They did ask for a bit of tuna in the evening however. Today is starting partly cloudy. The cats' day should be better. The next FOTD will appear in 24 hours. Until then, take care, and who is right? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Comets_and_Circles { ; time=1:40:25.71--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=+0.70965744031310400/-0.209435894187028\ 00/3.02452e+007/1/-122.25/-2.03390234168598916e-008 params=1.5/0/100/0 float=y maxiter=42000 inside=0 outside=tdis periodicity=10 colors=000EzoBzsCzrCzqCzpCzoCynCwmCvlCtkCrjCpiCnhC\ lgCjfDieDgdDecDcbDKKD_`DY_DXZDUYDSXDPWDNVDKUEIVDIU\ DITCHSCIRBIQBIPAIOAJN9JM9JL8JK8KJ7KI7KH5ID7KG9LIBM\ KCNMEOOGPQIRTJTVLVXNYZP_`Q`bSaeUbgWciXdkZem`foagq`\ ep`do`co`an``n`_m_Zm_Xl_Wl_Vk_Uk_SjZRjZQiZPiZNhZMh\ ZLgbAd`FfZKgXPhVUiTZjRckPhlNmmLrnJwoHzpEztFzrGzqHz\ pHzoIznJzmJzlKzkLzjLziMzhNzgOzfOzePzdQzcQzbRzaSz`S\ z_TzZUzYUzXVzWVzVVzUVzTVzSWyRWxQWwPWvOWuNWtMXsLXrK\ XqJXoIXnHYmGYlFYkEYjDYiCYhBZgAZf9Ze8Zd7Zc6WW7Y_6Zb\ 6_e5`h5bl4co4dr3eu3fv4fv5gv5gv6hv6hv7iv7iv8jv8jw9j\ wAkwAkwBlwBlwCmwCmwDnwDnwEnxFoxFoxGpxGpxHqxHqxIrxI\ rxJtwIrxJqxJpxJoyKnyKmyKlzKjzLizLhzLgzLfzMezMdzMgz\ HczM_zQWxVSvZOtcKrgGplCnp6mu9ltBktDktGjsIjsKisMisP\ hrRhrTgrVgrYfq_eqaeqddpfdphcpjcpmbooboqaosaoq`mp`l\ o`km`jl`ik`hi`gh`fg`ee`dd`cc`ba`a```TOcUQbVS`WUZXW\ YYYWY_VVdYSh`PlcNpfKuiHyl } 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 06-05-05 (An Extra Fractal [7])
by Jim Muth 06 May '05

06 May '05

FOTD -- May 06, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's image is a blow-up of the Mandeloid midget in the lower left corner of yesterday's half-moon image. I have named it "An Extra Fractal" because it is the second image from the same scene. I decided on the rating of a 7 because of the effect of a three-dimensional thicket of tropical vegetation. The render time of 11-1/2 minutes is a bit slow, but still within reason. And as always, the already-rendered image can be accessed on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A fine spring day on Thursday, with a high temperature of 64F 18C, gave the fractal cats a long afternoon in the yard. When evening came, they settled down without asking for their usual tuna. Today is starting cloudy with rain not far to the east. It looks like a questionable day for the duo. The next fractal will appear in 24 hours. Until then, take care, and look for the light. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= An_Extra_Fractal { ; time=0:11:31.62--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=+0.70300327895521280/-0.209869779033806\ 80/928.9082/1/12.5/-1.74255748719431836e-012 params=1.5/0/100/0 float=y maxiter=3000 inside=0 outside=tdis logmap=37 periodicity=10 colors=000OKAVKAUKATKASKARKAQKAPKAOKANKAMKALKAKK9J\ L8IM7HO3JQ5LS7NT9PVBRXDTYFV_HX`IZbK`dMbeOdgQfhShjU\ jlWlmXnoZpp`rrbttdvufxwhyxitvfotdjrbep``nZWlXRjUMh\ SHfQCdO7bM2`K4_J5_J7ZJ8ZJ9ZJBYICYIEXIFXIGXIIWIJWHL\ VHMVHNVHPUHQUHSTGTTGUTGWSGXSGYSGURJQRLMROIQQEQTAQV\ 6QX9OYBMYDKYFIYIGZKEZMCZOAZRDWTFUWIRYKP_NMbPKdRHfU\ FiWCkZAm`7pc5re2tg0vdBwbLx_VyYdokXexPdzPgr`jjkgied\ i`aiVZiQWiKTiFRfIPdLNaOL_RJXUIVXGS_EQaCNdALg9Ij7Gm\ 5Dp3Bs18v06x4El8Mamiaoj`pk_rl_smZunZvoYwpYmrVdtTWv\ RNwPPtORqOTnNVkNXiMZfM`cLb`LcZKeWKgXJiYJkZIm_Io`Hq\ aHsbGtcGrdFqeFpfEogEnhDmiDljDjkCilChmBgnBfoBepAdqA\ br9as9`t9_u8Zv8Yw7Xx7Wy7ZzCazHdzMgzRjzWlz_izafzbcz\ dazeZzgWzhTzjRzkOzlLznIzoGzqDzrAzt7zu5zv4zn4zf4zZ4\ zR4zJ4zB4z4ozfnzdnzcnzbmzamz_mzZlzYlzXlzVkzUkzTkzS\ jzQjzPjzOizNizLizKhzJhzIhzHgzIfzJezKezLdzMczNczNbz\ OazP`zQ`zR_zSZzTYzPXzRXzU } 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 05-05-05 (Lunahalf [5])
by Jim Muth 05 May '05

05 May '05

FOTD -- May 05, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's scene is again located in the Z^(1.5)+C Mandeloid, this time 100 levels up the logarithmic spiral. It is one of the more unusual fractals I have yet come upon, though not necessar- ily one of the more artistic. The name "Lunahalf" refers to the prominent half-filled circle near the right edge of the frame, which resembles a half moon. There are also several Mandeloid midgets scattered through the rest of the scene. The rating of a 5 is average; the render time on my unit of 36 minutes is slow. But the pre-rendered image will soon be avail- able on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Wednesday turned out slightly cloudy and slightly chilly here at Fractal Central, but the fractal cats were determined to have a good day, which is exactly what they did. Today is starting sunnier and milder. It should be another good day. My work is moderate, and the fractals are plentiful. Until the next FOTD appears in 24 hours, take care, and see you then. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Lunahalf { ; time=0:35:58.02--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=+0.70702782927336960/-0.207173891674747\ 70/261.9425/1/12.5/8.94423424213641738e-014 params=1.5/0/100/0 float=y maxiter=12000 inside=0 outside=tdis logmap=25 periodicity=10 colors=000IXdJWcJVaKV`KUZLTYLSXMRVMQUNPSNORONQOMOP\ LNPKLQJKQIJRHHRGGRGFSIETJEULEVMEWOEXPEYREZSD_TD`VD\ aWDaYDbZDc`DdaDebCfdCgeChgCihCjjCkkCon8klChjFehIbf\ M_dPXcSUaWR_ZOYaLWeIUhESlFTkFUjFViFVhGWgGXfGXfGYeH\ ZdHZcH_bH`aI`aIa`Ib_IbZJcYJdXJdXJeWJfVKgUKgTKhSKiR\ LiRLjQLkPLkOMlNMmMMmMMnLNoKNoJNpINqHMsGNqHOpHPoHQn\ HRmHSlHSkHTjHUiHVgIWfIXeIXdIYcIZbI_aI``Ia_IbYJbXJc\ WJdVJeUJfTJgSJgRJhQJiOKjNKkMKlLKmKKmJKnIKoHKpGKqEL\ rDLrCLsBLtALu9Lv8Lw7Lw6LsCMoIMkNMgTMcZM_cMWiMSnMRm\ LQmKPmJOlINlIMlHMkGLkFKkFJkEIjDHjCGjBGiBFiAEi9Dh8C\ h8Bh7Ah6Ag59g48g47f36f25f13e05f17g19g2Ah2Ci2Ei3Gj3\ Hk3Jk4Ll4Ml4Lk5Lk6Lk7Lk7Lk8Lk9LkAKkAKkBKkCKkDKjDKj\ EKjFKjFJjGJjHJjIJjIJjJJjKJjLIiLIiMIiNIiOIiOIiPIiQI\ iQHjRHkSHlTHmTHnUHoVHpWGqWGrXGsYGtZGuZGv_Gw`TxZGy`\ 3zb4za4za4za4za4z`4z`4z`4z`4z_DzvBzxCzvCzuDzsDzrEz\ qEzoFznFzlGzkGzjHzhHzgIze } 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: [Fractint] Fractint in a Virtual PC
by nick.grasso＠nasrecruitment.com 05 May '05

05 May '05

Thaddaeus, Fractint works in Virtual PC for me. I am using version 5.2 which is the last Connectix version before Microsoft bought them out. I have not been able to get it to run in 1600x1200. I have not been able to find the correct settings for fractint.cfg for 1600x1200 for the video card it emulates (I think it's an S3). The other VESA modes work. The only other thing is that it's very slow. Much slower than in native DOS. But slow is better than nothing. Let me know if you have any other questions. I can send you my config.sys and autoexec.bat if you want. Nick

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Fractint in a Virtual PC
by Thaddaeus Parker 05 May '05

05 May '05

I've been using Fractint on and off for the past decade or so and would like to know if anyone has ever been able to get Fractint to work either in a VMWare or Virtual PC machine. I don't really want to reinvent the wheel and all of the sites that I have surfed to have had awesome galleries, but no good directions or pointers on putting a virtual pc to work on the development of good fractals. I appreciate any good direction or response. Thaddaeus Parker

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FOTD 04-05-05 (Musette Melody [7])
by Jim Muth 04 May '05

04 May '05

FOTD -- May 04, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's image is simply a scene in the fractal created by the formula Z^(1.5)+C. I chose it because the midget at the center is unusually interesting for one created by the exponent 1.5. It is so interesting that I rated it at a 7. The name "Musette Melody" invokes images of the green hills of Scotland, with the sound of distant bagpipes drifting on the wind. It has little to do with the appearance of the image. The 4-3/4 minute render time is fast enough for all but the most impatient fractalists, or those with Fractint-challenged machines. Those who would not or can not render will find the finished image posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather on Tuesday here at Fractal Central was not perfect. The temperature reached only 59F 15C, the wind blew, and the sun shone only part of the time, but the fractal cats made the most of the less-than-perfect conditions, and enjoyed over three hours adventure in the holly thicket. My day was uneventful. Today promises to be a repeat. The FOTD will also be repeated in 24 hours. Until then, take care, and be wise. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Musette_Melody { ; time=0:04:43.58--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.70822397496087670/+0.410103256784967\ 50/2745.83/1/20/1.96689331488641983e-011 params=1.5/0/0/0 float=y maxiter=2000 inside=0 logmap=89 periodicity=10 colors=000Z98X86W85U7AR6EN5JJ4NE3RA2W61_20cA6eIBgP\ HhXMjcSkkXmo_nnbljcjfdibegZffVgdRhbNiaJj_FkZBlX7lW\ 8mU9nSAoQBoOCpMDqKEqJFiHFaGFUEFMDDPEBSEAVE8YF7_F5b\ F4eG2hG1jG0gH0eH0cI0aI0_J0YJ0WK0UK0SL0QL4SJ7TIAVHD\ WGGXFKZEN_DQaCTbBWcA_e9bf8eh7hi6kj5f_8aPBYFEZKCZOA\ ZS8_W6__4_c3bb7ebBhbEkaInaMpaPodOofNbgNQhNDiN1jN6i\ OBhPGhQLgRPfSUfTZeUcdVgdVjaSmZPoWNrTKuQHwOF9HbAMXA\ QRBUMBYGCaBCe5Ci0V`4mS8hWEc_KZcQ`ePafPcgPdhOfiOgjO\ ikNjlNlmNmnMooMppMrqLsrLusLvtLrrNnqOjpPfoRbnSZmTVl\ VRkWNjXJiYMjWOjVQjTSjSUjRXjPZjO`jNbkLdkKgkIikHkkGm\ kEokDqkCojBmiBkiAihAgh9eg9cg8af8_e8Ye7Wd7Ud6Sc6Qc5\ Ob5Nb5La7K`8J_9IZAGYBFXCEWDDVEBUFATG9SH8RI7RJFVPMZ\ VTb__fefjkmmps_rxMstQopTllWihZfdbcae`YhYUkVQoSMrPI\ uMFxJHyLJzMLzNNzOPzPRzQTzRVzSTzTRzUPzVNzVLzWJzXHzY\ DzOFzNHzNJzNLzMNzMPzMRzLTzLVzLXzKZzK`zKbzJdzJfzJlz\ KqzKpzLozLozLnzLYzDYzBZzA } 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 30-04-05 (Electric Discharge [5])
by Jim Muth 03 May '05

03 May '05

FOTD -- April 30, 2005 (Rating 5) Fractal visionaries and enthusiasts: With today's image we return to the Mystic2 formula, a formula I have not used in several years. When used in the normal manner, with the inside set to a flat color, this formula draws nothing but empty circles of radius 1. When an active inside fill is used however, such as the 'bof61' of today's image, this formula fills the empty circle with designs and patterns of the most unpredictable nature. The user-defined function included in the formula simply increases the unpredictability. I named today's image "Electric Discharge". The zig-zag white streaks, which resemble stylized lightning bolts, inspired the name. The rating of a 5 indicates that I consider the image to be an average one. The render time of just over one minute on my 10-year-old machine is fast enough for all but the most impatient. Those with one of the new-fangled Fractint- challenged computers may need to download the image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> When I was a child, still in my wonder years, I wondered what electricity is. Now that I am a full-fledged grown-up, I see that no one knows exactly what it is. It's energy, sure enough, and energy is the ability to do useful work, but somehow this does not seem to answer the question of what it actually *is*. Clouds and a chilly temperature of 59F 15C kept the fractal cats within dashing distance of the porch all afternoon Friday. But nothing happened to make them dash. They ended the afternoon with their noses in their food dishes. Today is starting rainy, with showers expected for most of the day. The duo will not like this. For me, it's a moderate amount of work before I can get to the fractals. Tomorrow is a new day, a new month, and a new fractal. Until then, take care, and be sensible but don't be a slave to common sense. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Electric_Discharge { ; time=0:01:13.44--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=Mystic2 function=cos passes=1 center-mag=-0.00490732/-0.00490988/9.590991/1/17.5\ /-1.23373533611470521e-014 params=1.435/0.218/-1.8\ 82/-0.465/-1.663/1.558 float=y maxiter=95 inside=bof61 logmap=yes periodicity=10 colors=000UMLeHEXvFcfCjR9C4RN6MX8HgACaV7YU3YmzdXvj\ fvzzzoqnoVkh1aPPl5lvc`qhSasE9mKMmVwoOepIOl3In6Fo8C\ pA9uNvWNzcJgjFPmkio_XpOKUHf_FYeEPkDGPeNZSJhKDDN7Qn\ QVF6`E7fD7lC7lk3QhWcSJEkLS_GdOBdCUhCOkCInCCercicTm\ QIfPciLVlINoFFSVP`OJiIDhW8mM71IY7dWN5YV7Rb9KjBDjRv\ nJXqy7qh7qS7VaI`VFfPClI9wbYuWRtPKrIDvqltcZrQLIYYUQ\ PeJG8i8K`7VT7fK7ebukPWTeYaWPiMGOienC4QQncJTQCtXCgc\ CWjCJ4npZJueGdkEOMXlURaaMSiHH_VFdQDhLBmG9vqqtcarQM\ ej7kxnMmYUcRaVKiLDDEnODcYDTgCIQ5`zh3uS5enChdAkV9nL\ 8`qv44gI3nU6_e9LmAvnBioBXpCK2fXKWO`MFd10dvMkZEHjeR\ aX_TOhKFn0lo4Zp8LtFGsEDrDBqC9hKlkHZnELj5Pn9GDrh5NB\ gdvqj4qZ5qN6XOxgIYvgPtXJrMDA8GWAB5eUURIqDjqCXqCKTc\ J_XGeQDkJAyAhuBQiY2kS4mN5oH60peEeXRWOdMFr2tq5gq7Wq\ AJ9fYbFogE`lDMRzdYmWd`OkOFRcghXGkQDnJA98Iz0kKHc`EN\ asUgdMlQE2TGtC7rC7YSrgKVY_ngOTImi_HkeFYkDKl`gnSVpK\ JsVerOUqIIyGlYdWdVNkLFHSS } frm:Mystic2 {; Jim Muth a=real(p1), b=imag(p1), c=real(p2), d=imag(p2), k=real(p3), f=imag(p3), g=pixel, z=(pixel)^a+(b*(pixel))^c: z=(fn1(z)+(d*(g)))^k+(f*(cos(g))) g=sqr(g), LastSqr <= 100 } END PARAMETER FILE=========================================

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Re: [Fractint] Fractal web site
by nick.grasso＠nasrecruitment.com 03 May '05

03 May '05

David Dollevoet wrote: >Greetings: >My (Fractint) fractal web site is updated for 2005-05. >http://www.djd-fractal.com Really nice stuff, David! Thanks for sharing it. They remind me of oriental rugs, which I really like. I downloaded your formula file so I can try it. Nick

2 1

FOTD 03-05-05 (Hairy Tarantula [7])
by Jim Muth 03 May '05

03 May '05

FOTD -- May 03, 2004 (Rating 7) Fractal visionaries and enthusiasts: Today's image returns us to yesterday's basic formula, but reduces the escape radius to 20, which causes the parent fractal to become far more dense. The scene is located on the shoreline of a double bud. I named the picture "Hairy Tarantula" because that's what it reminds me of. The rating of a 7 indicates that I am rather pleased with the image. The render time of just under 6 minutes brings the speed of the image within reason. And if all else fails, the completed image file may be down- loaded from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A fine but chilly spring day on Monday here at Fractal Central was interrupted by a brief sprinkle in the afternoon. The fractal cats managed enough outdoor time between the raindrops to satisfy their lust for adventure. Today is starting sunny but cold. Hopefully, it will likely be warm enough by afternoon to give the cats an enjoyable romp in the yard. The next FOTD will appear in 24 hours. Until then, take care, and don't get bitten. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Hairy_Tarantula { ; time=0:05:56.02--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip center-mag=+0.09613259438715371/+0.385507616223705\ 40/5.14474e+009/1/-127.499997131274966/-6.54710472\ 71462024e-006 params=-6/-0.5/-0.6/-2.5/0/-80 float=y maxiter=5000 inside=0 periodicity=10 colors=000XHJVHJVIKUIMSKMSKNRLPPLPNNRNNSMOSKQUKQVJ\ RVHRXGTYGTYEU_DU`DW`BWbAXc8Zc8Ze7_f5_f5ah4ai2bi1bk\ 1dl0dl0en0en2gl7hlAjlEkkHmkMnkRpiVqi_qibsifthkvfox\ fryeuzcxzczzcxz`wy`ty`rxYqxYnvYlvXktVhtVfsVcsUbqU`\ qUYpUXpSVnSSmSRmRNkRMkRKjRHjPGhPEhPBgNAgN7eN5eN4dM\ 1dM0bM0bM0dN0dN0dN0eN0eN0eP0gP0gP0gP0gP0hR0hR0hR0j\ R0jR0jR0kS0kS0kS0kS0mS0mU0mU0nU0nU0nU0pV0pV0pV0pV0\ qV0qV0qX0sX0sX0sX0sX0tY0tY0tY0vY0vY0v_0x_0x_0x_0x_\ 0y_0y`0y`0z`0z`0z`0zb0zb0zb0zb0zb0zc0zc0zc0zc0zc0z\ c0ze0xf0th0qi0nk0kl0hn4eo7bqA_rDXtHTuKQwNNxSKzVHzY\ Ez`Aze7zh4zk1zn0zo0zo1zo3zo3zo4zo6zo6zq7zq9zq9zqAz\ qCzqCzqEzqHzrHzrIzrKztKztLzrNztNzrOzrQztQzrRztTzrT\ ztUzrWztWztXzuZzt_zu_ztazubzubzwdzwezwezwgzwhzwhzw\ jzwkzxkzxmzxnzxnzxpzxqzxqzxtzztzzxzzwzzzzzyzzzzzzz\ zzzxzzxzzxyzxxzxvzwqzwpzwmzwjzwhzwezudzu_zuZzuXzuU\ zuRztOztLztKztHztFztCzrAz } 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 02-05-05 (Infinite Floater [5])
by Jim Muth 02 May '05

02 May '05

FOTD -- May 02, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's image is a scene in the fractal that results when negative portions of Z^(-0.5) and Z^(-2.5) are combined, and (1/C) is added. It resembles a scene on an alien planet, with a strange alien object floating in the alien sky. I named it "Infinite Floater". The effect was achieved by rendering the scene with the outside set to 'fmod'. Since I enjoy pictures of fantastic otherworldly vistas, I rated today's image at a 5. Those who do not enjoy fantasizing about what might be seen on other planets might rate it closer to a 3. Luckily, the image is a fast one, and even luckier, the finished GIF image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Rather pleasant weather on Sunday made for rather pleasant cats, who needed no tuna to end the day. This morning I see increas- ing clouds with rain forecast. The duo's good day might not be repeated. My day will be kept occupied by an unexpectedly heavy arrival of new work. Until next FOTD, take care, and take it easy. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Infinite_Floater { ; time=0:01:02.74--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip center-mag=+0.10506163064603690/+0.368852867150980\ 80/1322661/1/85/7.83872640686134048e-008 params=-6/-0.5/-0.6/-2.5/0/-80 float=y maxiter=1000 bailout=9 inside=0 proximity=1 outside=fmod logmap=yes periodicity=10 colors=000bMVaMVaNW`NX_OX_OYZPZYPZXQ_XQ`WR`VSaVSbU\ TbTTcSUdSUdRVeQVfQWfPWgOXhNYhNYiMZjLZjL_kK_lJ`lI`m\ IanHanGboGboJcnMdnOenRfmTgmWhmZilajldjlfklilklmjon\ jqoisphuphvphupftofrofqndpndnmdmmcllbjlbikbgkafjae\ jaciabi`ah`_g`Zg_Xf_Wf_Ve_TeZSdZRdZPcYOcYMbYLbYKaX\ IaXH`XG`XFaYFaYFaYFbYEbYEbZEcZEcZDcZDcZDd_Dd_Cd_Ce\ _Ce_Ce_Cf`Bf`Bf`Bf`Bg`AgaAgaAhaAha9ha9ib9ib9ib8ib8\ jb8jb8jc8kc7kc7kc7kc7ld6ld6ld6md6md5me5ne5ne5ne4ne\ 4oe4of4of4pf3pf3pf3qg3qg2qg2qg2rg2rh1rh1sh1sh1sh1s\ h4pi6nj8lkBjlDhmFfnHdoKbpM`qOZrQXsTUtVSuXQv_OwaMxc\ KyeIzhGzjEzlCznAzoBzoCzoDzoDzoEzoFzoFzpGzpHzpHzpIz\ pJzpJzpKzpLzqLzqMzqNzqNzqOzqPzqPzqQzrRzrRzrSzrTzrT\ zrUzrVzrVzsWzsXzsYzsYzsZzs_zs_zt`ztaztaztbztcztczt\ dztezuezufzugzugzuhzuizuizujzvkzvkzvlzvmzvmzvnzvoz\ vozumzulzujzuizuhztfzteztcztbztazt_zsZzsXzsWzsVzsT\ zsSzrQzrPzrOzrMzrLzrJzqIz } 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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Fractal web site
by David Dollevoet 02 May '05

02 May '05

Greetings: My (Fractint) fractal web site is updated for 2005-05. http://www.djd-fractal.com David Dollevoet

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FOTD 01-05-05 (Armageddon Arrives [4])
by Jim Muth 01 May '05

01 May '05

FOTD -- May 01, 2005 (Rating 4) Fractal visionaries and enthusiasts: Today's image is another one created by the Mystic2 formula. The brilliant green horizontal line across the lower part of the frame is the actual edge of the radius-1 circle. All above that line is 'bof61' inside fill; all below it is normal outside equal-iteration bands. I named the image "Armageddon Arrives". In religious mythology Armageddon refers to the final decisive battle between the forces of good and evil. Obviously, this battle has not yet taken place, for the world is still filled with both good and evil, but from what I hear, the battle is not far off. In one sense, the battle is un-necessary, since it is pre-determined that the forces of good will emerge victorious. I guess the battle is kind of a symbolic thing, a ritual that has been foretold for so long that it must be permitted to come to pass. The forces of good would be sorely disappointed if they were deprived of their battle and their victory over evil. Luckily, fractals are neither good nor evil. They simply *are*. Today's fractal reminds me of a huge explosion in a devastated landscape, which is the reason I gave it its name. Since I am a peaceable man who does not enjoy war and suffering, I could give the image a rating no higher than a below-average 4. The render time of well over 7 minutes may be bypassed by downloading the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> It's too bad that the battle can't be bypassed also. With a temperature of 61F 16C, Saturday was mild enough here at Fractal Central, but the rain and showers lasted all day, limiting the outdoor adventure of the fractal cats to 20 minutes on the porch. An extra serving of tuna was needed in the evening to restore their acceptable dispositions. Today is starting a little better. I expect better things from the duo. As for me, I have little planned except for the fractals. The next FOTD will appear in 24 hours. Until then, take care, and don't be impatient for the end. As far as I can tell, it is not as close as some would claim. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Armageddon_Arrives { ; time=0:07:46.98--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=Mystic2 function=cos passes=1 center-mag=+0.21335738442806280/-0.976838978349907\ 20/4490.013/1/-12.3/3.85521475854133655e-012 params=-3/1/4/-1/2/1.5 float=y maxiter=255 inside=bof61 logmap=yes periodicity=0 colors=000M20I30E60D809B06D55G92IE00KKFR0NY0Qc0Ti0\ Tr0Xy0Xz0bz0fy0jw0ot5up9xnEzkKziPzfVzc`zbfz`kzYfzY\ `wYYpYYiYXbYVXXTPXTKXREXP8XN3XN0XP2`R3cR5hT6iV8nV9\ rXDwYEyYGz`IzbKzbMz`KzYIzYIzXGyVEtVEpTDnRBiRBfP9bN\ 8`N8XM6TM6RNBRPERRKRTNRVRRXXRX`RYcR`iRbnRcrRfyRhzR\ hzRtzfzzwtwkktbcpTXnKPiDIh5Bc05b00`02n03z05z06z06z\ 06z06z06z06z08z08z08z08z08z08z05z02z00z00z00z00z00\ z00z00z00z0z0wG9z0kz0cz0Xz0Rz0Kz0Ey08w02t00p00n20i\ 50h60f90bD0YE0VI6RKENNNKPXGTfDVnBPVEMEGG0ID0KG39IN\ 2Mi0Nz0Rz0Vz0Xy2`w8crDfpKinRnkXphctfiycrzbyybrwbkw\ bftb`rbXrbRpbMnbGnbBkb8ib3ib0hb0fb0fb0bf0Yh0Xk0Tn0\ Pr2Nt5Kw8GzBEzEBzI8zM6zN3zI0rE0iB0b80V50N20G009003\ 0000000000200902I03T06b09k0Dw0Gz0Iz0Mz0Nz0Rz0Tz0Vz\ 0Yz0`z0cz0fz0hz0kz0nz0pz0iz0fz0bw0Yr0Vk0Rf0Mb0IX0E\ T0BN08K05G09D0D90I60M30R00V03`06c65`G3XR2Tc0Rp0Nz0\ Kz0Iz0Gz0GB95E60I30M00P00 } frm:Mystic2 {; Jim Muth a=real(p1), b=imag(p1), c=real(p2), d=imag(p2), k=real(p3), f=imag(p3), g=pixel, z=(pixel)^a+(b*(pixel))^c: z=(fn1(z)+(d*(g)))^k+(f*(cos(g))) g=sqr(g), LastSqr <= 100 } END PARAMETER FILE=========================================

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FOTD 29-04-05 (A Quarter of Six [6])
by Jim Muth 29 Apr '05

29 Apr '05

FOTD -- April 29, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's image shows a midget in the Z^(1.5)+C fractal. As is true with all fractals created with fractional powers of Z, the features are discontinuous. This discontinuity prevents any well-defined pattern from emerging around the midgets in the parent fractal, but there are still less-obvious differences to be noticed. Today's image is one of the more striking ones I have found to date in the fractals with exponents between 1 and 2. I named it "A Quarter of Six", which is not the time of day, but refers to the fact that the exponent of Z, which is 1.5, is one-quarter of 6. The fact that the rating is also a 6 and the render time is 6 minutes is purely coincidental. For the convenience of those who do not render, the finished image may be found on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With lots of sun and a high temperature of 66F 19C, Thursday was mild enough here at Fractal Central. But the wind was quite gusty, and fractal cats do not like high winds, which cover the sound of approaching danger, so their outdoor time was limited to under one hour. Though they did not demand a tuna treat in the evening, I rewarded them with a treat anyway. This morning is starting cloudy and chilly, with showers forecast. It could be another less-than-perfect day for the duo. For me it looks like a rather busy day coming up. The next FOTD will appear in 24 hours. Until then, take care, and know the meaning of things. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Quarter_of_Six { ; time=0:06:26.73--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=+1.04687270978214200/+0.627331687174816\ 60/8625017/1/-37.4999999844678555/-1.3790757487364\ 1359e-008 params=1.5/0/0/0 float=y maxiter=1200 inside=0 logmap=167 periodicity=10 colors=000PDYQGVSJTUMRVPOXRMYUJ_XHa_FbbCdeAeg8eg8d\ f8de8ce8cd8bc8ab8ab8`a7``7__7__7ZZ7ZY7YY7XX7X5lV6i\ U7gS8dR9aPAZOBXMCULDRJEOIFMGGJFHGEIEFGCGEAHC9IA7J8\ 6K64L43M21N00O52P93PE4QI6QM7RR8RV9SZBScCTgDTkE_ZXf\ NodLicJdbH_aFV`EQ_CLZAGY8BX76YDB_IF`OJbTOdZSfcWhj`\ jqdlvhmzlnuknqknnjnjjnfincin_inWhoThpPgqLgrIfsEftB\ fs8cr5`r2YoIPmYHkl9heMe_YbUi_OuZQpYSkXUfWWaVYXU_ST\ aNScIReDRf8SmDTtIUzNYpXaffZebXd_UdXScUPbQNbNKaKIaH\ MegOcgQbgSagU`gV_gXZgZYg`XgbWgcVgeUggTgiSgjRgfPdcO\ b_N`XLZTKXQJVMHSJGQFFOCDM8CK5BI99PC7WF5aI3hL2nIBkF\ KhCSf9`c6i`3qZ6n`9kbCidFffIchLajOZkRWmUUoXRq_OsbMu\ eJwgHxfKweNvdQucTubWtaZsaas`dr_gqZjqYmpXpoXroWolWm\ jWkhWifVgcVeaVc_VaYU_VUYTUWRUUPUSNVVRVXVWZYW`aXceX\ ehYglYioReiKbdEZZ7WU1TP3WN4YM6_L7bK8dJAfIBhHCkFEmE\ FoDGrCItBJvAKx9LyBMzDNzFOzGPzIQzKRzMRzNSzPTzRUzTVz\ UWzWXzYXzZUz_Rz`OzaLzbNz_ } 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 28-04-05 (Hopalong Casualty [6])
by Jim Muth 28 Apr '05

28 Apr '05

FOTD -- April 28, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's image is named "Hopalong Casualty". I'm not quite sure where I got the name. It might be the name of a 'road-runner' cartoon, though I can't remember which particular one. The image is very brilliantly colored, even if not the most creative of all time. The reds and greens, not to mention the blues and yellows, fairly leap off the screen. This brilliancy raises the rating from a merely average 5 to an above average 6. The news is not all good however. The image is a slow one, taking over 41 minutes to render on my admittedly antique fractal machine. But relief for fractal lethargy is always available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the image will soon be posted, ready for download. A high temperature of 70F 21C with lots of sun and less wind kept the fractal cats in a good mood all day Wednesday. They were a bit spooked by the kids playing around the basketball hoop in the driveway next door, but over all, the day turned out to be an enjoyable one for the duo. Today is starting about the same; I expect more of the same from the dynamic duo. For me, the work is moderate and the fractals seem limitless. The next FOTD will appear in 24 hours. Until then, take care, and be reasonable. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Hopalong_Casualty { ; time= 0:41:41.19--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-1.65635519344256900/-2.044783397791015\ 00/9.195141e+008/1/90/3.88578058618804789e-016 params=-1/-1.1/-0.25/-4.1/0/0 float=y maxiter=5000 inside=0 logmap=823 periodicity=10 colors=000D_TC_VCYVAYV9YV9WW7WW7WW6VW4VW4TY2TY0TY0\ RY0R_0R_0P_0P_0P_0MT2IN6FI9CCA97D62H20K00N00P00T00\ V70WF0YM7_VC``IbiPdpWfybgzgfzifyidxkdtkbpmbnm`kn`g\ n_fp_bpY`pYYrWVrWTtVPtVMvTKvTHxRDxRCyP9yP7yMAvICrH\ DnDHkCIg9Kf6Nb4P_0RW0VT0WP0YN0_M0`K2bI6bI7dHAfFDgD\ FgDIiCKkANkARm9Tn7Wp6Yp6`r4dt2fv0iv0kx0ny0py0tr0xk\ 0zd0zY0zR0zK0zD0z70z00z00z00z20z60z90xC0rF0mI0iM0d\ P0`R0_V0_W0_Y0__0_`2Yd4Yf6Yg7Yi9YkAWnCWpDWrFWtHWvI\ WxITpFRkCNd9M_7IT4HN0DH0CC07I02N47M9CMDHKIKKMPKRF0\ WF0YH0YI0_I0`K0`K0bM0dM0db0_r9VzFVzHPzHMxIIzIFnKCi\ K9dK4`M0WM0RN0MN0KN0IT0bn0xz2yz7yzCyzFyxKzrNznTziW\ zf`zbdzYizVnzPrzMxzHzzDzz9zz6zz2zz4zx4zt4tp4mm4di4\ Yi0Pf4Rb6T_7VW9VTCWPDYNFYKH_HK`DMbANb7Pd4Tf2Vf0Wg0\ Yi0`k0bk0dm0fn0gn0fi0fd0d_0dV0bP0fM0iH0mC0p70t20x0\ 0z00z20z60z70zA0zD0zF2zI6zM9zNCzRFzTKzWNzYRz`VzbYz\ f`zgfzkizmmzppzrtzvzzvFzT } 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 27-04-05 (Purple Shadows [5])
by Jim Muth 27 Apr '05

27 Apr '05

FOTD -- April 27, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's image takes us to the northwest shoreline of the main bay of the Mandelbrot set, where we find a midget buried in an area of chaos. We then go deep into the East Valley of this midget, where we find a much smaller midget. This smaller midget lies unresolved at the center of today's image, which I have named "Purple Shadows" for no obvious reason. The rating of a 5 indicates that I consider the fractal to be average. The render time of under 3 minutes is within reason. As has been the case for quite a few years, the completed image is available for download on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> While skimming the thousand-page book "Road to Reality" that I recently purchased, I came upon a passage where Roger Penrose, the author, expresses his opinion that the much vaunted 'theory of everything' (except the mind) could very well be a pipe dream. He suspects that multi-dimensional strings and mem- branes, though interesting, are just another dead end. He specu- lates that, before we can find a true theory of everything, we will have to find a way to include the conscious mind in it. This is basically my own opinion also. Before we will ever solve the big questions of philosophy, we will need to surrender our old view of a world filled with objects out there, separate from ourselves, which we observe from inside our bodies. This view gives us a feeling of security about the foundation of our science, but it just ain't so. What do I have to replace this classic world view? That is the question. The skies remained mostly sunny most all day Tuesday here at Fractal Central, which let the temperature reach a high of 70F 21C. But the wind blew quite briskly during the afternoon, holding the fractal cats' outdoor time to under an hour. Their disappointment made a trip to the tuna closet necessary. Today is starting partly cloudy. The cats' day will likely be better. For me, the work is moderate and the fractals are numerous. Until next FOTD, take care, and the universe is *how* old? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Purple_Shadows { ; time=0:02:42.19--SF5 on a P200 reset=2004 type=mandel mathtolerance=0.05/1 center-mag=-0.44479131953974950/+0.559494324388213\ 20/3.515691e+012 params=0/0 float=y maxiter=30000 bailout=9 inside=0 logmap=-3848 periodicity=10 colors=000NaaNbZNdZNfZQhZVjcZlgcnlhpqlquqszutzrqyo\ ntlkoihjfeecca``XYYSVVNSSIPPDNN9QMATLBWKBYJC`JDcID\ eHEhGFkFFnFGpEHsDHvCIxCItBJqBKmBLjAMfANcAO_APX9QT9\ RQ9SN9TQAUSAUUAUWAUYAU`AUbAUdAUfBVhBVkBVmBVoBVqBVs\ bVzlVzvZzlazbezAhmAkl9nk9qk9tiJpgNkeRecV_aZU_`OYbK\ WcJUdHSfGQgFQhEPjDPkCPlBPmAMpFKrJItOGvSExWCz`Azd8z\ i6zm4zq7zm9xjCsgEmdHhaJcZMZWOTTROQTJNVEKUINTMPSPSS\ TURWXQ_ZQbaPfcOjeOmhNqjMtmMxoLzrKztKzvMzwOzwQzxSzx\ UzyVzyXzzZzz`zzbyzdxzexz`esXOjsC_qBXpBUoBSnBPlBMkB\ KjBHiBEgBCfB9eB6dB4cFAcJGbNMbRSaUYaYc`ai`eo`htKgm4\ gf5ih5kj6lk6nm7oo7qp8rr8tt8uuArsCoqDloFimGfkIciJ`g\ LYfMVdOSbPP`RMZSJXUGVVDUTEWRFXPFYNGZLG`JHaHIbFIcDJ\ eBJf9Kg8KhHSkQ_mYgofoqowswzutztrxspurnrqlnpjkohhof\ endbmbZl`WkZTjXQiVNiSLiVMjXMkIetHetGftEfuDfuCfuAfv\ 9fv8fvAhwCjwElwGnwIpxKrxMtxOvxQwxbtfoqQppVqo_qocom\ aml_kjZjiXhgWffUedTccRabP } END PARAMETER FILE=========================================

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FOTD 26-04-05 (Ace and a Half [5])
by Jim Muth 26 Apr '05

26 Apr '05

FOTD -- April 26, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's fractal takes us into the wilderness created by the formula Z^(1.5)+C, where we investigate a valley with a tiny midget in it. The name "Ace and a Half" refers to the exponent of Z. All in all it's an average fractal, perhaps with a bit more delicate feathery detail than usual, but still worth no more than a rating of 5. The render time of over 24 minutes is a bit excessive for such an average image, so the better choice may be to download the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> My philosophical thoughts continue, but are unorganized. Right now, I am wondering exactly what is meant by statements such as 'the present state of the universe' or 'at the present time, the universe is 15-billion years old'. Relativity shows that there is no such thing as a present moment of time that exists through- out the universe, since everything in it is in relative motion. Are different parts of the universe a different age even though they all supposedly started at the same time in the same 'big bang' event? Are we seeing the 'twin paradox' in action? Per- haps the whole concept of a universe is a fantasy we invented to squeeze things down to a level that is somewhat intuitive. I'll do some pondering on this situation in the days to come. The weather here at fractal headquarters on Monday was partly cloudy, but the high temperature of 63F 17C was a bit chilly and the brisk wind increased the chill. Seeing these conditions, the intrepid cat duo ventured bravely forth into the yard. They met with little excitement there, and were quite satisfied when they returned to civilization an hour later. My day was satis- factorily busy, with the philosophy progressing slowly. Today is starting sunny, but clouds and rain are due by evening. Hopefully, the cats will finish their adventure early. The next FOTD is due in 24 hours, and the chance of it appearing at that time is almost certain. Until then, take care, and what time is it? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Ace_and_a_Half { ; time=0:24:37.67--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=+0.99063222857496640/+0.778814550180425\ 30/4624.491 params=1.5/0/0/0 float=y maxiter=10000 inside=0 logmap=366 periodicity=0 colors=000UvKUvJTwIRxJTwIVtIXqIZnI`kIbhIdeIfbIg_Ii\ XIkUImRIoOIqLIsIIuFIvCIuFIuHIuJItMItOItQIsTIsVIsXI\ sZIraIrcIreIqhIqjIqlIpmFqnIroLspOtqRurUvsXwt_xubyv\ errjysgxtXwqMxqAvoBumBtlCsjCriCqgDpeDodDnbEmaEl_Ek\ YFjXFiVGhUGgSGfQHePHdNHcMIbKIaII`HJ_FJZEJ_FM`GPaHR\ aIUbJXcKZcLadMceNfeOifPkgQnfQqgRpgRpgSpgSpgTpgTpgU\ pgUogVogVogVogWogWogXogXogYngYngZngZng_ng_ng_ng`ng\ bmgdmgfmghmgjmglmgmminmkokmniongqmesmctmaul_vlYwlZ\ xk_yk`zjayjbxjbwicuidtieshfrhgqhgpghoginfjmfklflke\ mjemienhdogdpfcqecrdcrcbsbbtabu`av_aw`cy_awZ`vY_uX\ ZtWYrVXqUWpTVoSUmRTlQSkPRjOQhNPgNOfMNeLMcKLbJKaIJ`\ HIZGHYFGXEFWDEUCDTBCSABRBAQCBRDBSECTFCUGCVHDWIDXJD\ YKEZLE_MF`NFaOFbPGbQGcRGdSHeTHfUIgVIhWIiXJjYJkZJl_\ Km`KnaLnbLocLpdMqeMrgMsiNtkNumOvoOwqOxsPyuPzwPzxRz\ ySzzUzzVzzWzzYzzZzz_zzazzbzzdzzczzczzczzbzzbzzbzza\ zzazzazz`zz`zz`zz_zztzzuz } 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 25-04-05 (Miscount [6])
by Jim Muth 25 Apr '05

25 Apr '05

FOTD -- April 25, 2005 (Rating 6) Fractal visionaries and enthusiasts: Believe it or not, I have just received a telephone call appar- ently from India, informing me that I have been randomly selec- ted to receive a free cell phone. It is a mystery why the phone company had to go so far afield to let me know of my good for- tune. Perhaps they are seeking cheap labor. Or perhaps they are a clandestine alien scout team from another world that has come to irradiate our brains into non-functionality, so that we will be unable to offer effective resistance when the main invasion force arrives to enslave us. ;-) Of course, they could do this just as easily by addicting us to fractals. Today's fractal image shows a Mandelbrot midget that can't get its math right. It is a quadratic midget surrounded by six identical features rather than the expected four. The iterated formula combines portions of Z^(-1.5) and Z^(-4.5) then adds (1/C) to produce another of those sprawling fractal. Today's image was found in a valley of its parent. Judging from the bug-eyed double-spiral features that infest the image, the valley in which it lies must have 'East Valley' char- acteristics. I have no idea why the expected 2,4,8... series of elements has broken down. Maybe the series is still there, but has been disguised by the inconsistent sizes of the features. I named today's image "Miscount" in reference to the wrong number of features around the midget. The image rates a 6, which would appear to be justified. The render time of 5 minutes may be cut drastically by downloading the pre-rendered image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Unfortunately for any philosophy fans who yet have hope, my philosophical views are undergoing a change, which I will need to work out. My mistake was that I promised earth-shattering conclusions at a definite time. The philosophy will eventually appear when I get it right. I have no idea when that will be. At this point, my conclusions are so far out as to appear kooky. I am not particularly offended at being considered a kook, but kooky claims, especially earth-shattering ones, must be at least a little believable. With a high temperature of 48F 9C, heavy clouds, blustery winds and occasional light showers, Sunday was anything but spring- like here at Fractal Central. The cats returned inside after only a few minutes in the yard. I had my nose in my book most of the afternoon. The next FOTD will appear here in 24 hours. Until then, take care, and be alert. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Miscount { ; time=0:04:58.14--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+2.44071194518632700/+0.111691600345395\ 40/693633.5/1/132.5/5.05031376163422863e-008 params=-1/-1.5/-0.25/-4.5/0/0 float=y maxiter=1000 inside=0 logmap=87 periodicity=10 colors=000FRzGTuHQvIMwJJxJGxPMxUSx_Yxdbxjhxonxutxz\ yxrwkkv_cuOXtCQs0Tp1Vm1Xj1Zg1`d1ba1e_2gX2iU2kR2mO2\ oL2qJ2pG6pEAoCEoAIn7MzZQz3UmZrl4Yk6zj9_iB`hDagGbgI\ cfKdeNedPfcRgbUhaWiaYiaWjaUkaTkaRlaPmaOmaMnaKoaJoa\ HpaGp`Ii_KbZMWYOPXQIWSBWT5ZR9`QDcOHeNLgLPjKTlIXoH`\ qFdsEhvClxBpzAtpIjfP`XWRNbHEi8EfBEcDEaFEZHEXJEULER\ OEPQEMSEKUEHWEFYJIZNKZRNZVPZZRZbUZfWZjYZn`ZrbZvdZi\ YZfZYdZXb_W`_WZ`VX`UVaTTaTScRSdPSfNRgLRhJRjHQkFQmD\ QnBQo9SjATfBVaCWYDYTEZPF`KGaGHcBId7Je3K`6LW9LSCMNF\ MJINELNAOO5RO1UOD_ZOehZjrWenT`jQXfarkbsibsgctectcd\ uadu_duZYoUSjPMeKF`F9WA3R5FVBRYGa`LZYQXWVVT_TRdRPh\ dsZfkVhdRjYNlQJnJFpCBkBHfBMaARXAXS9aN9fI9kHGiHMgGS\ eGYcFdaFj_EpYEvW9wO5xHByGHzGMzFSzFYzFbzEhzEmzEnzFo\ zGpzDqzBrz9sz7tz5uz3vz6wz9xzByzEzzHzzJzzMzzOzzRzzU\ zzWzzZzzazzczzfzzhzzfzzdzzezzezzezzfzzfzzfzzfzzgzz\ gzzgzzgzzhzzhzzhzzhzztzzt } 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 24-04-05 (What's up Doctor? [7])
by Jim Muth 24 Apr '05

24 Apr '05

FOTD -- April 24, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's image is named "What's up Doctor?". This has nothing to do with a certain well-known rabbit. I simply gave it that name because these words were the first to come to mind when I saw the image. (Sometimes I like to leave the room while fast fractals are rendering, and give myself a surprise when I return.) And let's face it, the image is unusual enough to justify the name. The parent fractal, which combines negative portions of Z^(-1.5) and Z^(-3.5), then adds (1/C), is one of those huge sprawling affairs that needs an outzoom before it fits onto the screen. Today's scene is found in the vicinity of a valley, which the parent fractal has many of. Surprisingly, the image was rendered with the outside set to the ancient setting of 'iter'. (No one uses that setting nowadays. We have long ago seen all it has to offer, and far better things are available.) The image is good enough to earn its rating of 7. Its render time of 2-1/2 minutes can be cut to 1-1/2 minutes by switching the passes to g. And if all else fails, the image may be down- loaded from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Saturday turned out better than expected here at Fractal Central, with ample afternoon sun and a high temperature of 72F 22C. True, a thunder-storm moved in at 6pm, with wind, heavy rain, pea-sized hail and crackling lightning, but by then the cats had completed their daily adventure in the outdoors, and had taken shelter in the large closet. This morning is starting sunny but quite a bit cooler. It should be good enough for the duo. A book arrived in the mail yesterday, "The Road to Reality" by Penrose, which looks quite interesting. I think I'll give it a quick read (if possible) before continuing with my speculative philosophy. There might be something in it that will change one of my opinions. The next FOTD fractal will appear 24 hours from now. Until then, take care, and maybe the reason we can't find reality is because nothing is real. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= What's_Up_Doctor { ; time=0:02:39.34--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+2.44491651853969700/-1.039215140847656\ 00/571.2366/1/-137.5/-6.58972182376871274e-012 params=-1/-1.5/-0.3/-3.5/0/0 float=y maxiter=500 inside=0 logmap=43 periodicity=10 colors=0004JP6PS6VV6VX4__3c`1gc0jd0of0si0xj0zl0zo0\ zp0zrgzzazjzypzydzyTzyIzy6zp0zi0zV4zF9z0DOizMdyL`u\ JXpISlGOgGLdFG`DCXC7SA3O90J90GA0LC3PD7TFAXGF`IIdJM\ iJPlLTpMXuO`yPczQgzSjzSmzPjzMizJgzGfvDdrAcm9`i6_d3\ Y`0XX0VS0TO0SL0PO0MP0LS0IT0FX0DY1A`37a46d43f60i70j\ 90m90oD0lG0jL0iO0gS0dV0c_0aa0`f0Yi0Xm0Vp0Ts0Ss9QsL\ P`DQI6S00TC0SO_dFr7LvJPyVTzfS00VTPz0`pYiT0vz00sGDl\ YQdoddzY00sGVrCA0OcM0l`Ivi007Iy0OzCTzY4z_Jzizx0uXM\ ioa0Gf3TiDflOsoiv0fy6czM`za00i3MlJiosz7gzVA0zMYxJI\ 30GT`udm6vg0aa0Md0df6vgFzpSrydXzpAzjJzdSz_`yTgpQii\ Oi`LiTJiVapXuvszzmzzgzxazuOP3TjTjVffgjauog4zzz0mzQ\ FLQPidFzpQArTVrXmr9jPMvcXxxzJyx`vjpsI0zgV0amO04CF`\ YOz07jXFpaLvgSzmV6Tz0cpOifjmQMIyzmrzojzpczrV6OTAJX\ c`1zsAzrIzrQzrzzTyDYjdg0zoAzpMzrSDx07z9OzIaxQruaXa\ _ojm_Xigadpg`ym60zGFxPfuvSPilc00zFVx0ro9vpIypQzrz4\ Ym`g`DPV4oXQpYlr0zz4VJ4VM } 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/Xfractint version 20.04 patch 1
by Jonathan Osuch 23 Apr '05

23 Apr '05

The latest patch to Fractint/Xfractint is now available at www.fractint.org. There are no diff files because I restructured the source to make it easier to maintain. I did provide source trees. What new: Added the mathtolerance and orbit_delay parameters to values written to PARs and GIFs. Fixed how a mathtolerance parameter with a slash and a second number, but no first number is read in. The slash was being interpreted as a double. Stole the <p> key for use by passes options. If you are brave enough to try it, printing is still available using <ctl-p>. Put periodicity and orbit delay on the new <p> screen. There are currently two drawing modes available for the passes=orbits option. The rect(angle) method plots the orbits in a rectangle that can be zoomed, rotated, and skewed using the <F6> corner parameter screen, and the straight line method plots the orbits between two points specified on the <F6> corner parameter screen. The orbit interval parameter plots every nth orbit. The maintain screen coordinates parameter lets you zoom into an image changing the coordinates of the line or rectangle used to generate the image, but keeps the display coordinates, set on the <F2> screen, the same. Updated the docs for center-mag and corners because center-mag is now the default. Restructured the source to make it easier to maintain. Jonathan

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FOTD 22-04-05 (Elephant Seahorses [5])
by Vortex Swirling 23 Apr '05

23 Apr '05

On the FOTD page the 22-04-05 par is called "Mainline_Railroad"! With a name like that its almost a good thing it doesn't work either, there is something wrong with the color parameter. But how did this par get there instead of Elephant Seahorses!? -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.10.2 - Release Date: 4/21/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.10.2 - Release Date: 4/21/2005

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FOTD 23-04-05 (Fractal Fade-Out [4])
by Jim Muth 23 Apr '05

23 Apr '05

FOTD -- April 23, 2005 (Rating 4) Fractal visionaries and enthusiasts: The most fun with today's image is not in the finished product -- it is in the rendering. The image was rendered with the passes set to 'b', which traces the boundaries between areas of different color. This option does not work with many images, because it traces around and misses disconnected features, but it works quite well with today's image, where it goes merrily along its way, tracing out a loosely connected shaft of dissipa- ting features. The features are dissipating because they lie over a solid area of 'outside' material with an iteration count around 660, and they will be visible only if their iteration count is under this figure. The iteration count of the shaft increases from right to left, and reaches the count of the background near the left edge of the frame, where the shaft is totally absorbed. The image was done in haste, and as a result can be rated no higher than a 4. I named it "Fractal Fade-Out" because the shaft fades out as it moves from right to left across the screen. The render time of 5 minutes is worth the wait. The passes=b option is quite interesting to watch in action. Those who would rather not render may download the already rendered image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> In yesterday's FOTD I wrote that, unless something unexpected happened, the next installment of philosophy would appear in today's discussion. Unfortunately, something unexpected (a load of work) did happen, and the philosophy will not appear for another day or two. Heavy clouds, occasional light rain and a chilly temperature of 50F 10C kept the fractal cats confined to the porch on Friday. They were as happy as could be expected considering the condi- tions. Today is starting cloudy and warmer, but with rain in the forecast. The cats will survive somehow. I still have quite a bit of work to clear away before turning to the land of fractals. The next FOTD will appear in approximate- ly 24 hours. Until then, take care, and fly with the eagles. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Fade-Out { ; time=0:05:15.99--SF5 on a P200 reset=2004 type=hypercomplexj function=sqr passes=b center-mag=-0.43712437534315190/+0.155868892368191\ 60/132.931/1/17.5/1.40332190312619787e-013 params=-0.2402112676056374/0.004564196242171182/0.\ 01/0.51/0/0 float=y maxiter=1000 bailout=9 inside=255 outside=imag periodicity=0 colors=000iUofTodSnaRn_QmXPmVOlSNlQMlRLjSLhTLgULeU\ LdVLbWLaXL_XLZYLXZLW_LU_LTcI_fFejClm9rp7xoCqnHkmMe\ lR_lVUk_OjdIiiChn6hr0s_M4Y0ldXTVf9LoCNnEOnGQnIRnKT\ nMUnOVnRXnTYnV_nX`nZbn`cnbdn_ckXchVceSccQc`NcYLcWI\ cTFcQDcNAcL8cI5cF3cDA_KHWQOSWUOa`KggGmmDsMd3KPKJA`\ NCYQEWTFUWHS_JQbKOeMLhNJlPHoRFrSDuUBxV9tYDp`HlcLhf\ PehTakXYn`UqdQthNvlMuhMueMubMt_MtXMtULsRLsOLsLLrIL\ rFLrCImDFhEDdFA_G8WH5RI3NI7NLANOENRHNULNXON_SNbVNe\ ZNhaNkeNnhNpeOmbPj`QgYReWRbTS_QTXOUVLVSJVPGWMDXKBY\ H8ZE6ZCCVRIReNNsaeuowvgpt`jrUdqNYoGSm9Ml9Ll9Ll9Kl9\ Kl9Kl9Jm9Jm9Im9Im9Hm9Hm9HmAInAInBInBInCInCInDInDJn\ DJoEJoEJoFJoFJoGJoGKoGKoHKpHKpIKpIKpJKpJLpKLpKLpKL\ qLLqLLqMLqMMq`QuNMqNMqNMqOMrOMrPMrPNrQNrQNrRNrRNrR\ NsSNsSOsTOsTOsUOsUOsUOsVOtVPtWPtWPtXPtXPtYPtYPtYQu\ ZQuZQu_Qu_Qu`Qu`QuIfGJeHJeIJeIKdJKdKKdKLdLLcMLcMLc\ NMcOMbOMbPNbQNbQNaROaSOaS } END PARAMETER FILE=========================================

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FOTD 22-04-05 (Elephant Seahorses [5])
by Jim Muth 22 Apr '05

22 Apr '05

FOTD -- April 22, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's image is a Julia set that blends elephant and seahorse elements. This is why I named it "Elephant Seahorses". The blending was found with the hypercomplex Mandelbrot formula and rendered with the corresponding Julia formula. At least in my opinion, the image is best considered average, which justifies the rating of a 5. As always, the completed image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The next outburst of philosophy is almost ready, and unless something unexpected happens, will appear in the philofractal version of tomorrow's FOTD. Thursday was mild enough here at Fractal Central, but a light rain at midday left the grass too wet for the sensitive paws of the fractal cats, who spent the afternoon on the porch, watching the birds fly by. Today looks about the same. I assume the cats will have a similar day. In my department, the work is still heavy, and threatening to get heavier, but I'll try to find some way to squeeze in a fractal or two. Until the next FOTD, hopefully in 24 hours, take care, and be yourself. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Elephant_Seahorses { ; time=0:05:13.40--SF5 on a P200 reset=2004 type=hypercomplexj function=sqr passes=1 center-mag=0/0/1.089202 params=-0.2400176704080293\ /0.005916709775158385/0/0.51/0/0 float=y maxiter=10000 bailout=9 inside=0 symmetry=origin periodicity=0 colors=000LAHMBENCCOD9PE7QF4RG2SH4TI6UJ7VK9WMAXOCY\ QDZSF_UH`WIaYKb_Lc`NdaOfbQhcSjdTkeVmgWoiYpkZkm_fq`\ asaXvbSxcNydPuaQqZRnWSjUTgRUcOV`MWXJXUGYQEZNB_J8`G\ 6cJ9fMChOEkRHnTJpWMsYOv`RxbTs_WoYZjW`fUcaSeYPhTNjP\ LmKJoGHrCFtMRsWbrenqnzqlyojymhxkfxidxgbwe`wcZwaXv_\ VvZTvXRuVPuTNuRLtPJtNHtLFsJDsHCsGHqDMoBQm8Vk6Zj4_h\ 4`f4bd5cb5e`6fZ6hX7iV7jT7lR8mP8oN9pL9rJAsHAtFAqHBo\ IClKCjLDgNDeOEbPE`RFYSFWUGTVGRXHOYHMZIJ`IHaJEcJCdK\ AeKFbJJ`JNZIRWIVUHZSHbQHeNLhLPjJSmHWpFZrDbuBex9iz7\ ls7ml7ne7o_7pT7qM7rF7s97tBAsDDrFGqHIpILoKOnMQmOTlP\ WkRZjT`iVchWfgYhf_keandbpc_rYXtTUvNRxIOzDNyCNyCNyC\ MxBMxBMxBLxALwALwAKw9Kv9Kv9Jv8Jv8Ju8Iu7Iu7It7Ht6Ht\ 6Ht6Kr8MqAPpBRnDUmEWlGZjH`iJchKefMheOjdPmbRoaSr`Ut\ ZVwYXyXYvYWsZUqZTn_Rl`Pi`OgaMdbKbbJ_cHYcGUbMQaRM`W\ I_aEZfAYk9_l9`m9bn9co9eo9fp9gq9ir9js8ls8mt8ou8pv8q\ w8sw8txaEW_DUYCRWBOVAMTAJ } END PARAMETER FILE=========================================

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FOTD 21-04-05 (Main Stem Mandelbrot [6])
by Jim Muth 21 Apr '05

21 Apr '05

FOTD -- April 21, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's image shows a midget, or an atom as they are sometimes called, way out near the tip of the main stem of the Mandelbrot set, in an area where the magnitude is greater than 2x10^41. Though the magnitude is well into the range of arbitrary preci- sion math, the area being calculated is a fast one, and the render time is cut in half by taking advantage of the X-axis near-symmetry. As a result, the image calculates in a surpri- sing 8-1/2 minutes on the P200, and less than one minute on the P4-2300. (Actually, the image is not totally symmetrical in respect to the X-axis, though the difference is subtle.) To rev up the image a bit, it was rendered with outside=summ. The image impresses me as being a little above average for such an over-explored area. The rating of a 6 seems appropriate. As has been the case for 8 years, the completed GIF image is available for download on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The temperature rose to 88F 31C here at Fractal Central on Wednesday. The cats found a shady spot in the holly thicket, and stretched out for the afternoon. Today is starting cloudy and cooler, but still pleasantly mild. The duo should find this acceptable. For me the real work is rather heavy, which means I'll be busy into the late afternoon. This will still leave enough time to find a hopefully great fractal however. That fractal, great or otherwise, will appear in 24 hours as the next FOTD. Until then, take care, and look for your self. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= MainStemMandelbrot { ; time=0:08:38.82--SF5 on a P200 reset=2004 type=mandel passes=1 center-mag=-1.999999999999999999999216261240241681\ 263722836/0.0/2.404376e+041 params=0/0 float=y maxiter=1000 bailout=4 inside=0 outside=summ symmetry=xaxis periodicity=10 colors=000Md_KdUIcNFbGDa9kf8Tc5JD6HK5FQ4DW3rHUXSGC\ BUBFQBJMBNIBREBVABZ67u98r88p79m69k6Ah5Af4Bc3ejs_hj\ VgaZ8hw1vu9lsHcqOVoWMnbDiaBdaA_a9Ba9Va8Qa6La5Ga41a\ m3ae5aY6aQ8aIAaA72F9K9WDLTHIQKGONELQCIT9GW7DZ5hBpc\ Fi_IcWMYSPSNSLJWFFZ9o04i53dA3_F3VJ3QO3LT3GY3sU8CJp\ BMhBPaBSVBUOBXHB_AkLGcPDXSAPW8IZ5C2tBEbBQLDbLvA_ZO\ JM5mJCcHJVFPLDWCrEXc2WPKHE4bD9XDESCJNCOIBTDBY8c9ZY\ FSSLMMRFGX94eW7cM9bCOFVMJRKMNIPJGTFEWBCZ7x3jq8dkC_\ eHU_LPTPJNUEHY8QNPOPMMRJKTGIVEGXBEZ8C`5LP_JxOZlDLF\ LGRC02n28g4D`5IU7NN8SGAX9TlWQjSOiOMgLKfHHeDFcADb6d\ dD`cBXcATb9Qb8Mb6Ia5Ea4gJKbMHZOFVRDRTBNV9JY7F_55Ke\ 7PW8TMAUCzt2zkwqimhgd`fVSdMJbATkzKfVbZDZ_BV_AR`8N`\ 7Ja5Fa4rfhcdVPbH89L9EI9JFAOCAT9BY6uNznQzgSz`UzVWzO\ YzH_zfiu_gjUe_NdPHbEiqhSiOvTmZYQB_IB`GB`EB`CB`ABa8\ Ba6Ba4NjKPioAYCBZABZ9B_8B_7B`6B`5Ba41jGeuvaroYphUm\ aQkVMhOIfHEcAwoFUgtRfmPef } END PARAMETER FILE=========================================

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FOTD 20-04-05 (Iterative Beacons [6])
by Jim Muth 20 Apr '05

20 Apr '05

FOTD -- April 20, 2005 (Rating 6) Fractal visionaries and enthusiasts: "Iterative Beacons" is the name which, for some reason, I gave to today's scene in East Valley of the Mandelbrot set. The location of the scene is not unusually deep in East Valley, but it is located in a valley of a bud of a bud of a bud, and is therefore very remote. The little bit of extra work I did on the coloring raises the image rating to a respectful 6. With a maxiter of 5000000, the scene is a very slow one, taking several hours to render on all but the fastest machines, which can complete it in under 10 minutes. Unless your computer is near state-of-the-art, I recommend downloading the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a high temperature of 86F 30C, it was actually a bit too warm here at Fractal Central on Tuesday. The cat duo responded by shifting into stretch mode and sleeping. Today is starting about the same; I expect more of the same from the cats. For me the work is moderate. Hopefully, the next fractal, which will appear in 24 hours, will be superior. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Iterative_Beacons { ; time=2:20:32.05--SF5 on a P200 ; time=0:08:27.95--SF5 on a P4-2300 reset=2004 type=mandel passes=1 center-mag=+0.27394229445467130/-0.007134517772696\ 28/2.967597e+010/1/-70/-0.000125495075483247898 params=0/0 float=y maxiter=5000000 bailout=9 inside=0 logmap=55900 periodicity=10 colors=00000dkszkuzkuzkvzkxzkzzkzzkzzkzzkzzkzzizzh\ zzhzzfzzdxzdvzbvz`uz`szZqzZozXmzVkzVkzTizRhzRfzPdz\ PbzO`zM`zMZzKXzIVzITzGRzGPzEPzCOzCMzAKz8Iz8Gz7Ez7E\ z8GzAGzAGxCGvCGuEIuGIsGIqIIoIImKIkMKkMKiOKhOKfPKdP\ KdRMbTM`TMZVMXVMVXOVZOTZOR`OP`OObOMdPMdPKfPIfPGhPE\ hPEiRGiRGiRGiRIiRIiRIiRKkTKkTKkTMkTMkTMkTMkTOmVOmV\ OmVPmVPmVPmVRmVRoXRoXToXToXToXToXVoXVqZVqZXqZXqZXq\ ZZqZZqZZqZZsbbudduhfvihvkixokxqmzuqzvszxuzzvzzxzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzxzzvzzuzzszzqzzmzxkzvizshzqf\ zodvmbuk`shZqfXmdVkbTi`RhXPdVMbTK`RIZPGVOETKCRIAPG\ 8ME7KC5I82G70C50A2080070050252755A57E58I5AM5CP5ER2\ EV2GZ2Ib2Kf2Mi2Om2Pq2Rs0Rv0Tz0Vz0Xz0Zz0`z0bz0dz0dz\ 7fzCfzGfzMfzPfzVhz`hzdhzihzmhzsizxizzizzixzixzkvzk\ uzkszkszkuzovzuxzxzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } END PARAMETER FILE=========================================

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FOTD 19-04-05 (Austral Mandelbrot [5])
by Jim Muth 19 Apr '05

19 Apr '05

FOTD -- April 19, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's relatively harmless scene is located on a filament of the large midget on the negative stem of the Mandelbrot set. I named it "Austral Mandelbrot" on a whim. The rating of a 5 indicates that I consider it an average image. The render time of 15 minutes borders on slowness, but to avoid delay, the pre- rendered GIF image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> There are signs that my 'writer's block', or 'bad mood', or whatever it is that is preventing me from doing any involved writing, is dissipating. And the philosophical questions that I raised are still there, begging to be discussed. A question that I have been giving much thought to over the past several weeks is, "what are we?", or as I state it, "what stays the same while the material of the body and contents of the mind constantly change?" This is far easier stated than answered. I will give my opinion of possible answers on the philofractal list in a soon-to-come FOTD. The high temperature of 77F 25C was just what the fractal cats ordered on Monday here at Fractal Central. In my department, the work was finished early enough to enjoy a couple hours watching the grass grow and wondering how long I can postpone trimming it. Today is starting the same; it looks like another very good day coming. The next FOTD will appear in 24 hours. Until then, take care, and avoid the darkness. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Austral_Mandelbrot { ; time=0:15:18.39--SF5 on a P200 reset=2004 type=mandel passes=1 center-mag=-1.77356363885098053/0.0066901161293471\ 44/8.018617e+013/1/17.537/3.88578058618804789e-016 params=0/0 float=y maxiter=2000 bailout=9 inside=0 logmap=195 periodicity=10 colors=000eAcfBcgCchDciEcjFckGclHdmIdnJdoKdpLdqMdr\ OdsPetReuTfvVgwWhxYiy_jzakzclzemzgnzimzhmzhmzhmzhm\ ZLBWJ7TH4RG1NPDKYOGfZDoiAwtEnsIesMYsQPsUGsX8sUMpSZ\ mQkkRtpDcrDesEcqEbpEaoE`nEZlFYkFXjFWiFUgFTfGSeGRdG\ PbGOaGN`GM_ENYDNXCNWBNVANU9NS8NR7NQ6NP5NO8RNAUMCXL\ E`KGcJIfIKjHMmGOpFSmDVkBYh9af7dc5ga3j_2ic4hf5gi7fm\ 8epAdsBcvCgoIjhOnaTqVZuOdxIiyLgyNeyPcyRayT_yVYyXWy\ ZUy`SybQydOyfMyhKveLtbLr_LpXLmULkRLiOLgLLeILNKZ4Ml\ ANiGOfMOcSP`YQYcQViRSnRQjOOfMNbKL_HKWFISDHPAFL8EH6\ CE4BF6EG7HH8KI9NJAQKBTLCVMDYNE`OFcPGfQHiRIkSLkTNkU\ QkVSkWUkXXkYZkZak_ck`ekahkbjkblkgkdkjYoiRshKwgDmYQ\ cOaUFmTHlSJkRLjRNiQOiPQhPSgOUfNWeMXeMZdL`cKbbKcbLd\ cMddNdeOdfPdgPegQehReiSejTekTfkUflVfmWfnXfoXfo`gpd\ hrgisdkc`mOXqUUs_QueNwaIxZDyM9zAKzZVzwZzqazkdzehz_\ kzUnzOrzIuzCxz6tz5qz5mz5jz4fz4cz4_z3Xz3Uz3Wz7XzBYz\ EZzI_zM`zPazTczXdz_bz8czC } END PARAMETER FILE=========================================

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FOTD 18-04-05 (The Candyman Calls [7])
by Jim Muth 18 Apr '05

18 Apr '05

FOTD -- April 18, 2005 (Rating 7) Fractal visionaries and enthusiasts: The parent of today's fractal is a grossly oversized thing that appeared as I played with the square root of 2. This parent is not a single fractal. It is more like a scattering of disconnec- ted bits and pieces of mis-shapen Mandeloids. Today's image is located rather deep in a valley of one of the more mis-shapen Mandeloids. For no good reason, I named the image "The Candyman Calls". The rating of a 7 indicates that I consider it above average. The render time of over 26 minutes is slow, but the wait may be eliminated by downloading the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Warm sun, gentle winds and a temperature of 73F 23C were just what the fractal cats needed on Sunday to make their moods perfect. Since today is starting the same, their moods are likely to remain perfect. For me the work is slow to moderate, which will leave ample time for the FOTD fractal, which will appear in 24 hours. Until then, take care, and see the light. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Candyman_Calls { ; time=0:26:43.66--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+15.51342081772104000/-19.5032002026312\ 3000/138344.7/1/150/-6.40539056802336138e-007 params=-1.41/-1.414/-0.141/-14.14/0/0 float=y maxiter=3600 inside=0 logmap=484 periodicity=10 colors=0000Hs0Ir0Jq0Kp0Lo0Mn0Nm0Ol0Pk0Qj0Ri0Sh0Tg0\ Uf0Ve2Wc3Xb4Ya5Z_6_Z7`Y8aW9bVAcU9dS8eR7fQ6gM6hJ6iG\ 6jD6kA9lBCmBFnBIoBLpBNqBQrBTsBWtCZuC`vCcwCfxCiyClz\ CnzClzBjzAhz9fz9dw8bu7`s7Zq6Xo5Vm4Tk4Rk3Pm2No2QgCT\ _MVSWYKe_CnbDfeE_hESkFLmFE_hebvZesSgpLjmEmj7og1gWG\ _KUS9gPEiNIjLMkJQmHUnFYoR`kabhmedxgatfZqfXnfVjfTgf\ RdfP`fNYfLVeIReGOeELeCHeAEe8Be68e4Hf7Qg9ZhCgiEpjHx\ kJvlIulHslHrlGplFomFmmElmEkmDimChnCfnBenAcnAbn9an9\ YmCVmFRmIOmLKlOHlRDlUAlWoaXkZVgWTcTS_RQWOOSLNOILKG\ KG6xI7qJ8kK8eM9ZN9TOANQAGRBASB4UF8WICXMFZPJ`TMaWQc\ _TebXff_hicjmfkpjmtmowqpztksofmkaggX`bSVZNPVIIQDCM\ 86I30E64K88PACVCG_FKeHOjJSpLWuPToTRiXPc`NYdLThRRlX\ QpbOthNwmMmdTcWZUNeLFkPDfTCaXBX_9Sc8Og7Jj5En49r34u\ 20o3Ai3Jc3TY3aS3jQ4fP5bO6_N7WM8XL9YJA_IBaHCcGDeFEg\ EFiDFkK7mR0oS4qT8sUBuVFwWJxXMzYQzYTzZSz_Sz`RzaRzbQ\ zcQzdPzePzfOzgOzMEzIFzFFz } 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 17-04-05 (Anti-Chaos [4])
by Jim Muth 17 Apr '05

17 Apr '05

FOTD -- April 17, 2005 (Rating 4) Fractal visionaries and enthusiasts: My writing energy is beginning to return, so there is no need to wonder about the future of the FOTD. It will continue into the foreseeable future, and as computers grow ever faster, ever new fractal vistas will open up to our investigation. Today's chaotic image lies in the fractal that results when portions of Z^(-1.5) and Z^(-7.5) are combined and (1/C) is added. It is located near the tip of the main filament of a prominent Mandeloid. Unable to find any sense of order in the coloring, I named it "Anti-Chaos", which could be taken to mean total order, but actually implies total chaos. With such haphazard coloring, the image could rate no higher than a humble 4, but the relatively fast render time of under 6 minutes means that not too much time will be spent watching it calculate. That time may be further shortened by downloading the finished GIF file from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather was a bit chilly on Saturday, but the sun was strong and the cats were happy. Today is starting much the same. The cats should have another good day. For me it looks like a slow day coming up. The next FOTD will appear in 24 hours. Until then, take care of yourself, whatever your self is. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Anti-Chaos { ; time=0:05:43.94--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.03792173804790600/+1.636179523052854\ 00/5.009654e+012/1/55/0 params=0.7/-1.5/0.35/-7.5/\ 0/525 float=y maxiter=750 inside=0 logmap=117 periodicity=10 mathtolerance=/1 colors=000bQHHjbS_QcyobmbaaQawOafIfHhcMT63nE9dMFWU\ LMgyKFSLRRHs3gjFSMdtUXZ2MZEORQPK1yMBpJKgHTZFR4VXFM\ I4_NAUSFOXLI5`sEYhMVYUSNJi8T_ByASsEOmIKgMGmlijf`g`\ TdVLcxMboJbfHaYFvvZzwfYWi55kO6nf6py6rqBpiFoaKmVOlP\ dsJtyEiX9Z5bSKfVOaRIaRGaQEkIpfMXdIAbMC4xOLfIu6PrNo\ iPWCduJ`iPXZWTOcl7b`AQiXUbQYWJwrtqjilcZfXOHL_SOOM5\ qUGXbwAakBa`CupjpiakbUfWL7qyNc`S08whklZUGWXMUSRTNX\ RImCPiHLeMHdzPcpMbgJaZGahbacWaZQaUJwfdqaYlYRfUK2KM\ EMJQOG9HoOjhSd`V_TZVLK5lDTYKSSQRNWQIPCCUHDYMDa2da8\ YaERaKKum_kaO4TeGSWRRM0bozgTPYdUVVYSMjHKeMGdFMV3YP\ 7QTCMWHJZMGWCtYGiZJZ`NOt5eD1VK8QQEMWKHRmzjKRgMNeNK\ cPG8jnIcaSXPGVzMTmRSaXRPfc2cX8lwUffLOomdegc_XbVNzr\ cqhViZMjo0gf5dY9DIVKKQQMMWOH7X5fLBdNCbPDTfFWaEYYE_\ UDduY36NMlFSdEXeDOh_SkUVnOZqIvtBpwCkzCfzDOzLVzHwzU\ qzPlzLfzHLzPZzA_zB`zCazDMzEUzDPzSTzOWzKZzGWz3Zz8yz\ `qzTizLYzd_zV`zMhzVfzQdzM } 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 16-04-05 (In a Remote Valley [5])
by Jim Muth 17 Apr '05

17 Apr '05

FOTD -- April 16, 2005 (Rating 5) Fractal visionaries and enthusiasts: Since discovering how fast the P4-2300 machine is with the type=mandel fractals, I have become fascinated with the formerly impractical areas of the Mandelbrot set. Today's image shows a tiny atom deep in a remote valley off the bud beyond the largest bud on the negative real axis, a valley which most likely has never before been investigated. The name "In a Remote Valley" simply describes the location of the image. The 2-1/2 hour render time is true on the P200 machine. On the P4-2300 unit, the image calculates in 8-1/2 minutes. It downloads from the FOTD web site in even less time. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The perfect weather continues here at Fractal Central. The cats continue happy and the fractals, though not great, keep coming. The next fractal will appear in 24 hours. Until then, take care, and run with fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= In_A_Remote_Valley { ; time=2:28:00.00--SF5 on a P200 reset=2004 type=mandel passes=1 center-mag=-1.30867919461502300/+0.062378545442629\ 37/2.531743e+010/1/-65.0015462454944526/0.00145557\ 922463238759 params=0/0 float=y maxiter=5000000 bailout=9 inside=0 logmap=76074 periodicity=10 colors=070FLMHNOHQQISSKVTMYVN_XNbYPd_RgaTibUldUpfW\ qgYuiZvj`xl`xlbxjkknbxjbxjcxjcvjcvjeujeujesjesjgqj\ gqjgpjhpjhnjhnjhljjljjkjjkjkijkijkgjuxtuxtuxtuxtux\ tuxttvqrqponnmklUx0Zx4cxJhqYuiMug_0xt2xt5xt9xtCxtF\ xtIxtMxtNxtRxsUvqYuq`qpcnnglljijCatFbtHbtIbtKbtMbt\ NdtPdtRdtTdsUdsYfqZfq`fpbfpcfnegngglhgljgjHxBKxEMx\ GNxHPxJRxMTxOUxQWxSYxTZxX`xYbx_cuaeqdgpfhlgjiiUyt`\ ytfzvlzwqzxvzzzzyrzxluvkmnFgnIglKglMglNglPglRglTgl\ UglWglYgjZgj`gjbgjcgjegjggjhgjjgjuxJuxLuxMuxOuxQux\ SuxSuxTuxVuxXuxYuxYuv_uuausbuqdupdrnfqlgokimijU5QW\ 5SY6TZ9VZDX`EYbI_cLacOaeSbgTdhWfh_gjbikfjq9SoDToEV\ oGVoIXoJYoLYmO_mQamSamTbmVdmWdk_fkagkbgkdikfjjxtkx\ tkxtkxtkxtkxtkxtkxtkxtkutkqqkppklnkiloQEmSGmSHmTJm\ TLmVMmVOmWQmWSmYTmYVm_Vk_XkaYka_kbbkdfkfimflogpqis\ rkttltuntuptuqtustuutuvtuutuutustustuqttptrptrntqn\ tqltoktoktmitmitkgttxtuxt } END PARAMETER FILE=========================================

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FOTD 15-04-05 (Image-01 [5])
by Jim Muth 15 Apr '05

15 Apr '05

FOTD -- April 15, 2005 (Rating 5) Fractal visionaries and enthusiasts: I hate taxes; I love fractals. Today's average scene lies deep in a remote valley on the north shore of the largest bud of the Mandelbrot set. Unable to find a better name, I gave the image a name like a catalog listing. I named it "Image-01". The parameter file renders in under 23 minutes. The fully rendered image is available for download on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Perfect weather and perfect cats . . . it's becoming boring. But more perfect conditions are forecast for the next week. For me the work is perfectly average, and so are the fractals, the next of which will appear here in 24 hours. Until then, take care, and will the search for self be successful? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Image-01 { ; time=0:22:48.52--SF5 on a P200 reset=2004 type=mandel passes=1 center-mag=-0.9837\ 0680268731230/+0.27123468950056740/5.051088e+011/1\ /-72.5/0 params=0/0 float=y maxiter=200000 bailout=9 inside=0 logmap=-23535 periodicity=10 colors=000YijWghVegUchTahS_iRYiRRjQLjPFkO9cO3cCAX0\ G61IA1KD1LG1NK2ON2QQ2RU2TX3U_3Wc3Xf3Zi3_l6Zi9YfCXd\ FWaIVZLUXOTURSRURPXQM_PJbOHeNEhMBjM9gQEeTJcXOa_S_c\ XXgaVlfTpjRtoPwtNzxmzwdvpgle`e_I`UHXOGSIFOCFK6S9OT\ CNUFNUHMVKMVMLWPLWRKXUKXWJYZJY`IZcIZeH_hH_jG`mG`oG\ _nIZnJYmKYmLXmNWlOVlPVlQUkRTkTSkUSjVRjWQjYPiZPi_Oi\ `NhaMhcMhdLgeKgfDgcKggRYjYOmdEpk4snAYpGCqHDqIDrJDr\ JDsKDsLDtMDtMDtNDuODuPDvQDvRDwSDwTDxUDxVDxWDuXDrYD\ oZDl_Dj`DgaDdbDacDZdDXeDUfDRgDOhDLiDJjDGkDDlDAmD7n\ B8oD9pFAqHBrJCsLDtNEuPFvRGwTHxVIyXJzZKz`LzbMzdNzdM\ zeMzeMzfMzfMzgLzgLzhLzhLzhLziKziKzjKzjKzkKzkEzvKzk\ Pz`VzQ_zFdz4cz7bz9bzCazEazG`zJ_zL_zNZzQZzSYzVYzXXz\ ZWzaWzcVzeVzhUzjTzmTzoSzqSztRzvRzxTzuUzsVzqXzoYzmZ\ zk`ziazgbzedzcezafz_hzXizVjzTlzRmzPnzNpzLqzJrzHtzF\ uzDvzBwzEwzHwzKwzMwzPwzSxzVxzXxz_xzbxzdxzgyzjyzmyz\ oyzryzuyzwdzqczpazn`zmZzk } END PARAMETER FILE=========================================

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FOTD 14-04-05 (Fractal Childhood [7])
by Jim Muth 14 Apr '05

14 Apr '05

FOTD -- April 14, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's image takes us to a midget in a high-order star located moderately deep in Seahorse Valley. It reminds me of the type of images I created in the early days of fractal exploration, which is the reason I named it "Fractal Childhood". The rating of a 7 indicates that I think the image is above average. The render time of 4 minutes is just about average. The finished image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The absolutely perfect weather is becoming boring. The cats are taking it in stride however. For me, the work is average and the fractals are nowhere near exhausted. The next one will appear in 24 hours. Until then, take care, and be your self even if you have no idea what a self is. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Childhood { ; time=0:04:10.46--SF5 on a P200 reset=2004 type=mandel passes=1 center-mag=-0.74832337816241750/+0.079790502203829\ 59/2.084965e+009/1/-67.5/-0.000116527577027063234 params=0/0 float=y maxiter=50000 bailout=9 inside=0 logmap=-4900 periodicity=10 colors=0000Fd0Ga0Hb0Ic0Jd0Ke0Lf0MgJNhLOhNPdPQfRRhS\ SlTToUUrwzzczzXzkMmYFaI5I50B03D09I0DO0IX0Qa0_c0ig0\ si0zk0zo0zq0zs0zu0zo0zk0sg7icHQ_O7XY0Se0gO0v90z00z\ 0zyzzuzzqzvozukyqivoeukasi_qeXocVm_QkYOk7DH0300700\ B00D00H00I00M10Q30S50X70Y90_F0aI3aO7cSBcYFeaIegOgk\ ShlXim_jnckoglpkmqmnrmosmptmqumrvmswmtxmuyovzzwzms\ vVYXBD7F5FH0KK0QM0YQ0cS0iKMoFzs9zq5uq7mu7gv9_y9VzB\ MzBHzBBzD3zD0zF0zF0zF0zI0zK0zM0zO0zQ1zV5zX9zYFz_Iz\ aMzeQzgXzi_zkczmgzqizsizukvvkqymkzoezq_zsVzuOzvIzy\ Dzz7zz1zz0zz0yz0sz0mz0gz0cz0Yz0Sz0Mz0Hz0Bz07z0Dz0I\ z0MzBSzMYz_azkgzvmzzqzz0z03z05y07z09z0Dz0Fz0Hz0Iz0\ Mz0Oz0Qz0Sz1iz9zzHzzOzzMzzKzzIzzIzzFzzDzzBzz9zz7zz\ 5zz1zz0zz0yz0uz0sz0qz0oz0kz0iz5zzvzzuzzszzozzmzzkz\ ziyzevzcszaozYmzXizVezSczO_zMXzKVzHQzFMzDKzBVz9az7\ iz5qz5yz3zz1zz1zz5zz9vzBszFmzIgzKczOYzSSzVOzYIz_Dz\ c1zX5zX9zXBzXDzVFzVHzVIzV } END PARAMETER FILE=========================================

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13-04-05 (Julia Peanuts [7])
by Jim Muth 13 Apr '05

13 Apr '05

FOTD -- April 13, 2005 (Rating 7) Fractal visionaries and enthusiasts: Very deep in Mandelbrot valleys strange new features appear, which I call peanut holes. Today's image shows the Julia set associated with one of these holes. I rated it at a 7 and named it "Julia Peanuts" because that's what it is. I could not name it 'Julia Holes' because the very high maxiter has completely filled in the holes. Unfortunately, that high maxiter makes the image a slow one to render, but relief for the upset patience is waiting on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the image has been posted and is ready for download. Slightly chilly but otherwise ideal weather made the fractal cats happy enough on Tuesday so that they held back the attack when a stray tabby crossed the yard. Today is starting sunny and chilly. The duo might be in as good a mood if the stray returns today. For me the work is moderate and the fractals are nowhere near exhausted. The next FOTD will appear in 24 hours. Until then, take care, and don't work for peanuts. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Julia_Peanuts { ; time=1:26:12.32--SF5 on a P200 reset=2004 type=julia passes=1 center-mag=0/0/537\ .6344 params=0.3334378227507466/0.5698664697947012 float=y maxiter=50000000 bailout=9 inside=0 logmap=yes symmetry=origin periodicity=0 colors=000sbVuWZpYWlZTh_QdaN`bKXcISeFOfCKg9Gi6Cj38\ k1Ne3`_4ba8dbBedEgeHigKjhOljRmkUomXqn_rpctqfvsiwtl\ yvozwrwumutisseqqaopYmoUknQilMgkIejEciAbkDblGbmJan\ MaoOapR`rU`sX`tZ_ua_vd_wg_xi`teaqabnYckVdhRedNfaJg\ ZGhWCiT8jQ5gS7eT8bVA`WBZXCWZEU_FRaHPbINcJKeLIfMFhO\ DiPBjQAgPAdOAaNAZMAWMATLAQKANJAKIAHIAEHABGA8FA5EA3\ EC6HD8KEANGDQHFTIHWJJZLJYMJXNJWOJVPJVQJURJTTJSUJRV\ JRWJQXJPYJOZJN_JNVPHQUCLZ6Hc1La4P`7S_9WZCZYEbXHeWJ\ fXMfYPfYSfZVfZYf_`f`cf`ffaifalfbofcrfcufdxfdzcbva`\ sZZoXXlUVhSTePRaNPZKNVILSFJODHLEINEIOFIQFJRGJSGJUH\ KVHKXIKYILZJL`JLaJLbUGVcCNn7Fx38w7AvBBuECtIDsMErPF\ qTGpXHo_IncJmgKljLknMjrNiuOjqPkmPliPmfQmbQnZQoVRpS\ RqORqKSrGSsDSt9Tu5Tu2Tn6`gAh`EpVIxUPrUVmU`hTgcTmZT\ sUTyPWvRYtT_rVboXdmYfk_hhakfcmdeoafq_htYjvVlxTnzRo\ yQiyPdxO_xNVxMQwLLwKGwJBwICwHDwGEwFFwEGwDHwCIwBJwA\ Kw9Lw8Mw7Nw6Ow5Pw4Qw3Qx5T } END PARAMETER FILE=========================================

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FOTD 12-04-05 (Dark Gold [5])
by Jim Muth 12 Apr '05

12 Apr '05

FOTD -- April 12, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's image shows a midget in a tiny sub-valley deep in the valley beyond Scepter Valley, which I believe is named 'Double Scepter Valley'. The image is typical of many midgets in remote valleys. I named it "Dark Gold" because of the rusty gold leaves surrounding the midget. The rating is an average 5; the render time is 22 minutes; the finished GIF image is available for download on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather was perfect on Monday and the fractal cats were happy. Today is starting perfect again. The fractals are not quite perfect, but a lot of them are out there. The work is perfectly normal. The next FOTD will appear in 24 hours. Until then, take care, and look for an improvement. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Dark_Gold { ; time=0:22:53.61--SF5 on a P200 reset=2004 type=mandel passes=1 center-mag=-1.369007347129016/+0.004770046089976\ /2.054316e+009/1/122.5/0 params=0/0 float=y maxiter=450000 inside=0 periodicity=10 colors=000F0OF0ME0ME0ME0ME0MC0LC0LC0LC0LB0LB0LB0JB\ 0JA0JA0JA0JA0I80I80I80I80I70I70H70H70H60H60H60F60F\ 50F50F50F50F60E70E80E90CA0CB0CC0BD0BE0BF0AG0AH0AI1\ 8J38K48L57M67N77O86PA6QB6RC5RF5SH5SI4TJ4TL4UM3UO3V\ P3VR1WS1WU1XX0XZ0Z_0Za0_c0_d0af0ch0ci0dk0dm0hp0kr0\ ot0rv0vx0yy0zz0zz0zz0zz0zz0zz0zz0zz0yz0vz0rz0oz0iy\ 1dx3_x4Wv5Ut6St7Rr8PpAOpBLoCJmEImFHkHFiICiIBhJAfL8\ fM7fO5dP4fR3dS1dU0dW0dX0cZ0d_0da0dc0fd0ff0fh0fi0dk\ 0cm0cm0fk0fi0hh0if0id1ic4ic7kaAk_EmZHoXLpWOoURmUSk\ WSkWSiXSiXUhXUhZUhZUf_Uf_Wd_WdaWdaWcaWccXacXadX_dX\ _dX_fZZfZZfZXhZXhZXi_Wi_Wi_Uk_Uk_UkaSmaSmaRoaRocPo\ cPpcPpcOrcOrdMrdMtdMtdLtdLvfJvfJxfIxfIxfIyhHyhHyhF\ zhFzhFziEziEziCziCziCzkEzkEzkFzkFzkHzkHzkIzkIykJyk\ JykLykLxkLxkMxkMxmOvmOvmPvmPvmRtmRtmStmStmSrmUrmUr\ mWpmWpUyzSrzRkxRdtPZpPSmOMiMHfMBcL6_L1XJ0UJ0RI0PI0\ PI0PI0PH0PH0OH0OH0OF0OF0O } END PARAMETER FILE=========================================

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FOTD 11-04-05 (A Long Way Down [5])
by Jim Muth 11 Apr '05

11 Apr '05

FOTD -- April 11, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's image is a scene in Seahorse Valley. I named it "A Long Way Down" because of its high magnitude. It shows one of the tightest spirals I have yet come upon. The tightness of the spiral emphasizes the depth of the central midget. I used no logmap with the image, which causes the colors in the spiral to repeat themselves every 255 iterations. I added the mathtolerance entry to the parameter file to assure that the image renders at the correct magnitude and does not flip into arbitrary precision mode, which would cause the image to take several hours to render instead of the actual 5 minutes. The rating of a 5 indicates average worth. The completed GIF image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Another perfect day on Sunday kept the cats happy. Today is starting slightly cooler and with a few clouds, but otherwise perfect. For me the work is moderate. The next FOTD will appear in 24 hours. Until then, take care, and stay sharp. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Long_Way_Down { ; time=0:05:14.51--SF5 on a P200 reset=2004 type=mandel passes=1 mathtolerance=/1 center-mag=-0.75285852351178230/+0.043143142026493\ 05/4.41555e+013/1/-67.4/0 params=0/0 float=y maxiter=36000 bailout=6 inside=0 periodicity=10 colors=000aJr`Jr`Jr`Jr`Jr`Jr_Jr_Jr_Jr_JrZJrZJrZJrZ\ JrZJsYJsYJsYJsYJsYJsXJsXJsXJsXJsWJsWJsWJsWJsWJsVJs\ VJsVKsVMsWOvVQsUSqTUoSWlRYjQ_hPafOcfNebMgcLidKkeKm\ eLofMpgNqgOrgPsgQuhRtgStgTtgUtgVtgVtgUtgUtgTtgTtgT\ tgSsgSsgRsgRsfQsfQsfPsfPsfOsfOsfOsfNrfNrfMrfMrfLrf\ LrfKrfKreJreJreJreIqeIqeHqeHqeGqeGqeFqeFqeEqeEqeGu\ dFteFseFreFreEqeEpeEpeEoeDneDmeDmeDleCkeCkeCjeCieB\ heBheBgeBfeAfeAeeAdeAde9ce9be9ae9ae8`e8_e8_e8Ze7Ye\ 7Xe7Xe7We6Ve6Ve6Ue6Te6TeAScDSaHR_KRYNRWRQUUQTXQR`P\ PcPNfPLjOJmOHrPFqOGqOGpOGpOGpOGoNGoNGoNGnNGnNGnNGm\ MGmMGmMGlMGlMGlLGkLGkLGkLGjLGjLGjKGiKGiKGiKGhKGhKG\ hJGgJGgJGgJGfJGfIGfIGeIGeIGeIGdIGdHGdHGcHGcHGcHGbH\ GbGGbGGaGGaGGaGG`FG`FG`FG_FG_FG_FGZEGZEGZEGYEGYEGX\ DDYEFYEGZEHZFIZFJ_FK_FL_GN`GO`GP`GQaHRaHSaHTbIVbIW\ bIXcIYcJZcJ_dJ`dJadKceKdeKeeKffKgfKhfKigKjgKkgKlhK\ mhKmgKmfKmeKmdKncKobKqaJr } END PARAMETER FILE=========================================

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Re: FOTD 10-04-05 (Iterative Pancake [5])
by Vortex Swirling 10 Apr '05

10 Apr '05

I can go along with that. I rather like stout! -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.9.5 - Release Date: 4/7/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.9.5 - Release Date: 4/7/2005

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FOTD 10-04-05 (Iterative Pancake [5])
by Jim Muth 10 Apr '05

10 Apr '05

FOTD -- April 10, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's fractal looks like four elephants. It also looks like a fancy pancake, so I named it "Iterative Pancake". The image is actually a scene in the fractal that results when the tiniest bit of Z^(-1.5) is subtracted from 2 parts of Z^(0.9) and the difference is added to (1/C). It's only an average image, which is worth no more than a rating of an average 5. The render time of 4-1/2 minutes is thankfully short. And as always, the finished GIF image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Saturday was a totally perfect spring day here at Fractal Cen- tral, filled with nothing but sun, gentle breezes, and a high temperature of 66F 18C, which made the fractal cats as happy as aged cats can be. Since today is starting the same, I expect a repeat. For me, the work is light and the fractals keep coming. The next one will arrive in 24 hours. Until then, take care, and be of stout heart, but not too stout. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Iterative_Pancake { ; time=0:04:35.94--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-20.47073614755954000/+44.5836361173614\ 9000/7963483/1/-90/3.88578058618804789e-016 params=2/0.9/-3e-006/-1.5/0/0 float=y maxiter=1000 inside=0 logmap=73 periodicity=10 colors=0000000000000000000000000000000000000000000\ 00000000000zy5ut4qp4lk3hg3cb3_Z2XV2UQ2UM1VH1YD1`80\ c40o8wm7wg4wg5wh5wh5wh6rh6mh6ch6Zh9UhCUhEVhHVhJWhM\ WhOXhRXhTYhWYhYYdZ_`_aY`cUaeQbgNciJdkFemCfoIbmO_lU\ Xk_UieRhkOgqLffO_XQTNTMDVF3X9Ekxa8w`7s_7oZ6kY6gY5c\ X5_W4WV4TU3PU3LT2HS2DR19Q15Q12O9FMGRKOcJVoXLkjBgfE\ cbG`ZIYVLVSNSOPPKSMGUJCWG9YD7RA5K83D5162UrwTpuSosF\ aWEaWD`WC_XB_XAZX9ZXA`XAbXBcXBeXCfXChXCiXFhZHh_Jg`\ LgaNfbPfcRedTeeVefXdgZdh`cibckdblfbmhanjaolapn`qp`\ rr_st_tvZuxZvzZw9dIAaHAZHAXHAUHASHAPHAMHAKHAHHAFHA\ CHAAHBKLBUPBcTBmXCkWDjVEiVFhUGgTHfTIdSIcRJbRKaQL`P\ M_PNYOOXNPWNPVMQULRTLSSKTQJUPJVOIWNHWMHXLGYJFZIF_H\ E`GDaFDbECbDCaFDaGE`HF`JG_KH_LIZMJZOKYPLYQMXSNXTOW\ UPWVQVXRVYSUZTU`UTaVTbWScXSeYRfZRg_Qi`QjaPkbPlbOja\ Ni`Nh_MgZMfYLeXKdWKbVJaUJ`TI_TIZSHYRGXQGVPFUOFTNES\ MDRLDQKCPJCNJBMIBLHAKG9JF } 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 09-04-05 (Bubble Land [5])
by Jim Muth 09 Apr '05

09 Apr '05

FOTD -- April 09, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's image is a scene in the fractal that results when negative portions of Z^(-1.5) and Z^(-6.55) are combined and added to (1/C). I named it "Bubble Land" after the bubbling effect. The rating is an average 5. The completed GIF image is available at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The rain ended early and the cats had a good day Friday. Today is starting sunny and only slightly cool. The work is light; the fractal is yet to be determined. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Bubble_Land { ; time=0:03:07.30--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+3.33209734105120600/-4.142620215531334\ 00/1362.616/1/-70/-8.15455342140225525e-012 params=-1/-1.5/-0.25/-6.55/0/0 float=y maxiter=1000 inside=0 logmap=47 periodicity=10 colors=00000064DDAJKGPRMVXS`cYfjcljdrljnhjkdpg`cdW\ icSTbOCbFSuUTggTVrgJzVIJJH27G4GJ5OL6WO8dQ9lTAqVCnU\ DjTFgTGdSHaRJZRKVQmrzmlzcjzRkzNnaJkVFdPBdJGgMLiOQk\ QVmT_oVdqXem_eiafedfafgYigUkgQm`NiVKfOHbIE_CCXJLZQ\ T_W`abhbipdoxepp_qhVr`PsTKnUMiUOdVQ_VSVWUQWWMWYQUW\ UTUYSS`RRZUSXQWVMZTIaRFePBhN7kL4nMCfNK_ORSPZLQfDQm\ 6otviirc_oYPkSFhUHeWJbYL_ZNY`PVbRScSQXPPRNPKLPEJP8\ ZM3nJ7lKBjLFhMJfNNdORbPV`QZZRbXSfVTjTUnRVrQVoPYlO`\ jNcgMfeMibLl_KoYJrVIuTIxXJv`JudKshKrlLppLonMnlMmkM\ liMkhMjfNieNhcNhaNg`NfZOeYOdWOcVObTOaSOaRP`RQ`QQ_Q\ R_PS_PSZOTZOTYNUYNVYMVXMWXMWXNXWOXWOXVPXVPYUQYUQYT\ RYTRYTTWVVVWXUXZSZ_R_aQ`cPaeNcgMdhLejJglIhnHioGjkH\ igHhcIg`IfXJeTJdQJdMKcIKbELaBL`7M_3MZ0MZCWSOeM_nGb\ mFdmEflDhlCjlBlkAnk9pj8rj7tj6gdHW_SKUb8PlDNhHLdMJ`\ QHXUFUSIVRKWPMXOOXMQYLTZJVZIX_GZ`F``DcaCebAgb9ic7k\ d6mdBk`FiYKhUOfRTdNXcKric } 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 08-04-05 (Just a Julia Hole [5])
by Jim Muth 08 Apr '05

08 Apr '05

FOTD -- April 08, 2005 (Rating 5) Fractal visionaries and enthusiasts: The words are few, but the fractals simply will not stop coming. Today's image, which I named "Just a Julia Hole", is an outzoom of yesterday's, showing one of the quasi-Julia sets that infest the background. In fact, yesterday's image lies near the lower right corner of the frame. The color palette is the same as yesterday's, but with stronger green. The rating is an average 5. The render time of 24 minutes may be avoided by downloading the completed image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Another near perfect day Thursday kept the fractal cats happy. Today is starting cloudy and the cats' day looks promising. For me it's work then relaxation. Until the next FOTD appears in 24 hours or so, take care and seek enlightenment, but be sure to find the right kind. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Just_a_Julia_Hole { ; time=0:23:50.15--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-1.446171277/-0.7596169102/62015.5 params=3/-1.55/0.3/-7.7/0/0 float=y maxiter=10000 inside=0 proximity=1 outside=fmod periodicity=10 colors=000zv3zu4zt5ys6xr7wq8vp9uoAtnBsmArlCokEkjGh\ iIdhKahMYgOVgQRfSOfULfWKdYJb_Ia`I_bHYcGXeGVfFThESi\ EQkDOmCNnBLpBJqAIs9Gt9Ev8Dw7By7AzACuCDpFFlHGgKHcMJ\ ZPKVRLQUNMWOH_QEYPDWODUNDSMDRLDPKCNJCLICJHCIGCGFBE\ FBCEBADC9CCAEGBFJCGNDHQEITFJVGJWGKWHKWHKWIKWIKWJKX\ JKXJLXKLYKMYLMZLNZMOZNPZOQ_PR`QSaRTbSUcTVdUWeUXfUY\ gWZhZ_ia`jdakfblicmkdnleomepmeqmdrmcsmbtmaum`vl_wk\ ZxjYwiXvhWugWtfWseXrdXqcYpbZna_m``l_akZbiYbhXcgWdf\ VedUfcTgbSfbRgaQg`Pg_OgZNgZMgYLgXKgWKgWMgVNgUPgTQg\ TRfRSeQSeOTdNTcMUcKUbJVbIWaGW`FX`DX_CYZBYZ9ZY8ZY7V\ XCSWGOVLLUPITUESYBRb8QfAReBSdDTdETcFUcHVbIVbJWaLXa\ MX`OY`PZ_QZ_S_ZT`ZU`YWaYXbXXbXYbXhzodxlavjYuhVsfRr\ dOpbKn`HmZDkXAjV6hT0iT3gR5fQ8ePAdODcNFaMI`LK_KMZIP\ YHRWGUVFWUEZTD`SCcSCbRBbRBaQBaQB`QB`PB_PB_PAZOAZOA\ YOAYNAXNA_O6XNAVNDTMGQMJOMMMLPJLTHKWFKZCKaAJd8Jg6J\ jDKbKLVRLOYMGdN8jN1iO2iP3 } 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 07-04-05 (Phantom Spirals [6])
by Jim Muth 07 Apr '05

07 Apr '05

FOTD -- April 07, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's image is a gloomy scene which I named "Phantom Spirals". Bits and pieces of spirals float in the fractal sky. The somber gloominess is relieved by tiny brilliant yellow sparks of hope on the rolling horizon, while the chaotic background is filled with Julia sets. The scene was rendered with the outside set to 'fmod'. The render time of over 22 minutes can be eliminated by download- ing the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather was perfect on Wednesday; the cats were quite happy. Today is starting nearly as good. The work is moderate; my mood could be better. The next FOTD will likely appear in 24 hours. Until then, take care, and cling to fractal hope. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Phantom_Spirals { ; time=0:22:47.28--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-1.44615472241995500/-0.759624225142532\ 80/5249544/1/55/2.76979244401287517e-008 inside=0 params=3/-1.55/0.3/-7.7/0/0 float=y maxiter=10000 proximity=1 outside=fmod logmap=yes periodicity=10 colors=000zp3zo4zn5ym6xl7wk8vj9uiAthBsgArfCoeEkdGh\ cIdbKabMYaOVaQR`SO`UL`WKZYJX_IW`IUbHScGReGPfFNhEMi\ EKkDImCHnBFpBDqACs9At98v87w75y74zA6uC7pF9lHAgKBcMD\ ZPEVRFQUHMWIH_KEYJDWIDUHDSGDRFDPECNDCLCCJBCIACG9BE\ 8BC7BA6B95BA7FB8IC9MDAPEBSFCUGDUGEUHDUHDUIDUIDUJDU\ JDUJDUKEUKFVLGWLHXMIYNJZOK_PL`QMaRNbSOcTPdUQeURfUS\ gWThZUiaVjdWkfXliYmkZnl_om_pm_qmZrmYsmXtmWumVvlUwk\ TxjSwiRvhQugPtfQseRrdRqcSpbTnaUm`Vl_WkZXiYXhXYgWZf\ V_dU`cTabS`bRaaQa`Pa_OaZNaZMaYLaXKaWKaWMaVNaUPaTQa\ TR`RS_QS_OTZNTYMUYKUXJVXIWWGWVFXVDXUCYTBYT9ZS8ZS7V\ RCSQGOPLLOPINUEMYBLb8KfALeBMdDNdENcFOcHPbIPbJQaLRa\ MR`OS`PT_QT_SUZTVZUVYWWYXXXXXXYXXhtodrlapjYohVmfRl\ dOjbKh`HgZDeXAdV6bT0cT3aR5`Q8_PAZODYNFWMIVLKUKMTIP\ SHRQGUPFWOEZND`MCcMCbLBbLBaKBaKB`KB`JB_JB_JAZIAZIA\ YIAYHAXHA_I6XHAVHDTGGQGJOGMMFPJFTHEWFEZCEaADd8Dg6D\ jDEbKFVRFOYGGdH8jH1iI2iJ3 } 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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Fractal calendar - last call
by Jim Muth 06 Apr '05

06 Apr '05

>This is the last 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. The deadline is April 15. > > > >This message has been posted to some of the fractal art newsgroups, 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 06-04-05 (In the Garden [6])
by Jim Muth 06 Apr '05

06 Apr '05

FOTD -- April 06, 2005 (Rating 6) Fractal visionaries and enthusiasts: Strangely enough, though my enthusiasm for writing is at a low ebb, my enthusiasm for finding the fractals remains high. Until I get over the writer's block, or whatever it is, I will post images, but add little comment. Today's image reminds me of a scene in a garden, amidst a wisteria vine. I named it "In the Garden" and rated it at a 6. The parameter file is a moderately slow one. The image is available as always on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather remains perfect, as do the fractal cats. The next FOTD will appear in 24 hours, most likely with little comment, in 24 hours. Until then, take care, and endure. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= In_The_Garden { ; time=0:18:47.73--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-1.44319248826291200/-0.761899791231731\ 80/266.6667 params=3/-1.55/0.3/-7.7/0/0 float=y maxiter=10000 inside=0 logmap=128 periodicity=10 colors=000UWOTVNRTMQSLPRKOQJNPHLOGKMFJLDIKCHJBGIAE\ G9DF8CE6AD59B48A37936835733D3rBouAsrBppBnmBkkBjhBh\ fBfdBcaBb_B`YDYVDWTDUQDSODQLDNJDMHDKEDHCDGEFHGGJHI\ JIJKJKKKMLNOLOPMPQMQRNRTOTVOVWQWXQYYRZ`R_aS`bSccTd\ eTegUfhWgiWhkXklXlnYmpYoqZprZqs`qvbrtart`rtZrsYrsX\ rsWrrUrrTsrSsqRsqQsqOspOspNspMsnLunKunJumHumGumFul\ DulCulBxn8ulBqiFmgHjeLfbNc`R_YTWWXTTZPRbKOcLPdNPdO\ PfPPfQPgRPgTPhTPhUPiVPiWPjYPjZPj_Pk`Pk`PmaPmcPndPn\ ePofPogPphPpjOthPrhPphQnhQmhQjgRigRggSfgSdgSbfTafT\ ZfVYfVWfVUeWSeWReXQeXNeXMdYKdYJd_Gd_Fe`Cd_DcYFaXFa\ XG`WG_VHZTHZTJYSKWRKWQLVQLUPMTOMTMNRMNQLOQKQPJQOJR\ NIRNGSLFSKFTKEUJDUIBWHBWHAXG9XE8Y07g78bE8YL9TV8LT9\ OQASOBWLDZJEbHFdEGhCIk9Jo7Ks0Iz2Jz6Ku9KoELhIMaJKUK\ LWLMWNOWOPWPQWPRXQSXRTXTVXUVXVWYVXYWYYY_YZ`Y_aZ`bZ\ `cZaeZceZdf`pQJqSLrTMsWOuYRu_SvaUwcXxeYyg`zibzkcwh\ asg`pfZmeYjbWfaUd`T`_SYXQ } 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 05-04-05 (How Are You [6])
by Jim Muth 05 Apr '05

05 Apr '05

FOTD -- April 05, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's fractal is an evaporated scene made visible by the inside=bof61 fill. I have named it "How Are You" because it reminds me of a surprised face. It rates a 6 and renders in 5-1/2 minutes. The finished image will soon be posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather is currently very pleasant at Fractal Central, as are the fractal cats. The work is moderate; the fractals are turning up very fast. The fractalist is feeling irate, cause -- things in general. The next FOTD might appear tomorrow, so check to see. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= How_Are_You { ; time=0:06:33.99--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-1.84342936994088600/-1.502298227507792\ 00/7.218194e+007/1/-115/-6.72718713179421002e-007 params=3/-1.33/0.3/-13.3/0/1e+100 float=y maxiter=800 inside=bof61 periodicity=10 colors=0005cL2gP0jS5hY9gcEfhIenMdsSbqYaoc`mi_knZjm\ UilQikMikIijDhi9hh5hh1h_EiSQjKajOcgSedWgaZi_bkXfmU\ ioSSEM`MNiTNr_NzfNwnNtuNrrPqpQpmRokTnhUmfVldWkgSjj\ PilLhoIgrFftBew8ey5VmJKaXxXWqaSjePciM0XICRJOMJ_GJk\ BJv6JoDIiJHcQGYWFSbEMhDGoCAPCRTUUSKU`Xc_QvyCtzFrzH\ qzJouNnpQlkTkfWiaZhYanUab``Rg_FnZ3uY6oV9jTCeQF`OIV\ _LYJOLHRGF1AA0D90G80J70M60P50Sc0cc0X3uMZpTVk_SffPa\ mMYsJ`kLccMfWNiOOkHPjJSjLUjNXjPZiR`iTciVeiXglU_oST\ zcMzcEzc7zc0xc6zUBzUHzUMzUSz8Xz7apDdiIgbOiWTlPZnIc\ qBhsKjtSku`mvhnwqpxyqyulwqgumbtiYreUqaWpYXoUYnQ_nM\ `mIalEblHdmJenLgoNhoQipSkqUlrWmr_bcbSPeIBaGFYEIUCL\ QBOM9RI7UF6XG7TH7PI8LJ8HK8EJJBIU8Hd6Go3Fy1Jo6MeAPW\ ESMIWKS_JacHkfGu`PwVYxPfyJozDcm8S`3HPERZP`h_jqZekY\ `eYW_XSUXNOWIIWEDUJHTNKRSOQWRO`VNdYMh`idbkdgmdmndr\ mfqmhpmjomlnmnnlpmlrlltklvjlxjhlme`paPrZDuW2wYAq_H\ kaPebW_8DnCJTFO7CSBAWE7_I } 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 FOTD will be on hiatus
by Jim Muth 04 Apr '05

04 Apr '05

At 10:35 AM 4/3/05 -0400, you wrote: Fractal devotees: Due to continuing technical difficulties, (I am in a funk), I will not post the FOTD until I get out of the funk and can write things that do not so obviously express my dour mood. Unfortunately, I do not know when that will be. I will still be reading the fractal lists however, and will inject a comment or two whenever it seems appropriate. Jim M.

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The FOTD for 03-04-05 will be delayed
by Jim Muth 03 Apr '05

03 Apr '05

Fractal devotees: Due to technical difficulties, the FOTD for April 3 will be delayed. Jim M.

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FOTD 01-04-05 (Fractal Comet [5])
by Jim Muth 02 Apr '05

02 Apr '05

FOTD -- April 02, 2005 (Rating 5) Fractal visionaries and enthusiasts: My mood is a bit serious this morning, so the discussion will be terse. Today's image must be seen as a diversion from the more serious things presently happening in the world. Though I am no longer a Roman Catholic -- I simply cannot accept the church doctrines -- I did attend eight years of Catholic elementary school and still enjoy the impressive ceremonies of the Catholic church, whose leader is dying. When the present pope took office, I was a young man, and now . . . well, I'm not exactly old, not yet at least. I still have many fractals left in me, but old age is looking a lot more interesting. The fractal for today is a curious midget that has existed unseen for all eternity in the Elliptic orientation of the Z^2+C Julibrot. I named it "Fractal Comet" because it reminds me of a sun-grazing comet whipping around the sun. Considering that a little over a week ago I posted a very similar image, the rating of 5 is the best I could do for today's image. The image is a mercifully fast one. It renders in less than one minute. And it is also available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> At this point two paragraphs have been omitted from the Fractint version of this discussion, but they appear in the philofractal version. The temperature reached 64F 18C and the rain held off until after dark here at Fractal Central on Friday, allowing the fractal cats a pleasant afternoon in the yard. Their evening indoors was just as pleasant. But this morning is starting wet, with the rain expected to continue through a good part of the day. I fear the good day will not be repeated. I have just enough real work lined up to keep today from being a day of total leisure. The work comes first; the fractals come later. And the next fractal will come in 24 hours. Until then, take care, and think fractal thoughts. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Comet { ; time=0:00:36.08--SF5 on a P200 reset=2004 type=formula formulafile=slices.frm formulaname=Elliptic passes=1 center-mag=-1.60435445534786400/+0.312836859721553\ 50/322219.7/0.0185/-7.83494301444557006/87.5508740\ 140643056 params=0/0/0/2e-007 float=y maxiter=1250 bailout=9 inside=0 logmap=49 symmetry=none periodicity=10 sound=off colors=000IAZKB_ND`PEaSGbUHcXJdZKe_MeaNfbPgdQheSig\ TjhVkiWlke_loNmyAkwDiuFgsIeqKcpNanP`lRZjUXhWVgZTe`\ RccPaeO`gbQYqGPoISnJUlLWkMYjN_hPagQcfRedThcUjaWl`X\ n_YpY_rX`tWavVYpUVjUSdTOZSLTSIOUHMVGLXFKYEJ_DI`CHb\ BGcAFd9Ef8Dg7Ci6Bj5Al49m38n37e69X8AOBCFDDIGCKICMLB\ ONBQPATSAVU9XW9ZZ8``8bb8``9_ZAYXBXWCVUDUSESRERPFPN\ GOLHMKILIJJGKIFKc7vdAudDudFudItdKtdNtdQsdSsdVsdXrd\ _rdarc_ncYjbWfbUbaSZaQV`OR`MN_KJ_IGYLFXOEWRDUUDTXC\ S_BQbAPeAOh9Mk8Ln7Kq7It6Hw5Gz5EqCDiJC`QBTXAKc9CjDF\ kGHkJKlMMlPPlSRmVUmZWnaZnd`ngcojeomhppjpslpnhqidre\ `s`XsXTtSPuNLvJHvEDwA9x55y12y5Br9JlCSfG__KhUNpORpQ\ VqTZqVarXerZisamscqteutgxtiwshwrhwqhwqhwpgvogvngvn\ gvmfvlfukfukfujeuieuheuhemjaekYZmVRnRKpOCqK5rH6mH7\ iH8dH9`HAWHASHBOHCJHDFHEAHF6HF2HG8MGDQGJUHOZHTbHZf\ IckIioInsIswHrsGroGrlFrhEqdEqaDqYCqUCqREnSGlTIiUKg\ VMeWObXQ`YSZZUW_WU`YSa_Pb } frm:Elliptic {; Jim Muth imag(z),real(c) z=flip(imag(pixel))+p1, c=real(pixel)+p2: z=sqr(z)+c, |z| <= 16 } END PARAMETER FILE=========================================

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Re: Extremely Deep
by JackOfTradeZ 02 Apr '05

02 Apr '05

At this magnification, the original Mandelbrot is about 800 million miles across - just about out to Saturn. "What we have instead is a midget surrounded by a spider-web network of filaments, organized into nodes with peanut-holes at the center" If you got what it takes, try zooming into one of the "peanut holes". They ain't no mini-brots .......... Stay Amazed! JoTz

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Fractal web site
by David Dollevoet 02 Apr '05

02 Apr '05

Greetings: Doug Stewart wrote: > >You have a bad link for the new material > >http://www.djd-fractal.com/2004-045/2004-05.html >should be >http://www.djd-fractal.com/2004-05/2004-05.html Thank-you for your keen eyes. Problem fixed. David Dollevoet

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FOTD 01-04-05 (Forever Plunging [5])
by Jim Muth 01 Apr '05

01 Apr '05

FOTD -- April 01, 2005 (Rating 5) Fractal visionaries and enthusiasts: The philofractal version of today's discussion includes an intro- duction that has been omitted from the Fractint version. For the present moment, we have a fractal to discuss, a fractal sliced in the Elliptic direction through the Julibrot, a fractal that I have named "Forever Plunging". The image is a scene some- where in the area of the Julibrot associated with East Valley of the Mandelbrot set. The rather silly looking double spirals with big swollen noses are there. These are familiar enough, but the straight edge that plunges beneath the surface is something seen in neither the Mandelbrot nor the Julia fractals. The vague clouds of streaming gnats on the left side of the image are also things never seen in the usual fractals. The rating of a five seems appropriate for such an undistinguished fractal. The render time of over 17 minutes is a bit slow, but can be avoided by downloading the completed image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The skies remained cloudy on Thursday here at Fractal Central, but the rain failed to appear and the temperature reached 57F 14C, which was warm enough for the fractal cats, who spent several hours in the yard, watching for signs of trouble. The trouble never arrived, and the day ended peacefully. This morning is starting partly cloudy and mild, with rain once again forecast for later in the day. Let's hope it's after the duo has completed their adventure. My adventure will be in the world of fractals, the next of which will appear in 24 hours. Until then, take care, and stay alive. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Forever_Plunging { ; time=0:17:48.96--SF5 on a P200 reset=2004 type=formula formulafile=slices.frm formulaname=Elliptic passes=1 center-mag=-1.74999879673820800/+0.029633317461659\ 14/374226.5/0.6607/154.945604920469151/54.48173673\ 55804052 params=0.67/0/0/0 float=y maxiter=10000 inside=bof61 logmap=53 periodicity=10 colors=000ZZmNGQPHTPIWPKYPL`PMcPNePOgPPgSOfUNdUN`U\ M_ULYSLVQKTOJSMIRKHQIGPGHOFIMFJKGKMHLOIMQJNSKOULPW\ MQXNRWOSVPTUQUTRTSSRRTPQTNPSLORJNRHMQFLPDKPCJUGIZK\ HcOFgRFlVEqZDvbCuaDuaEuaFtaGtaHtaItaJsaKsaKsaLraMr\ aNraOraPqaQqaRqaRpaSpaTpaUpaVoaWoaXoaYnaYnaZna_na`\ maamabmacladladlaelafkagkahkaijajjakjakjaliamiania\ ohaphaqharharfbpebndclccjbdiadg`ee_ecZfaYf`XgZWgXV\ hVUhTTiSSiQRjOQjMPkKOkJNlHMlFLmDKmBJnAIn8Ho6Go4Fn2\ Fo3Fo3Fo4Fo4Fo5Fp5Fp6Fp6Fp7Fp7Fp8Fq8Fq9Fq9FqAFqAFq\ BFrBFrCFrCFrDFrDFrEFsEFsFFsFFsGFsGFtHFtHFtIFtIFtJF\ tJFuKFuKFuLFuLFuMFuMFvNFsNFrOFqOFpPFoPFnQFmQFlRFkR\ FjSEiSFhSGgTHfUHeWIdYJc_KbcGagK`kOZnRYnVZjZ_fa`be`\ aha_lbYpcWsdUwdSzcRycQxcPwbOvaNv`Mu_LtZKsYJrXIrWHp\ VGoUGnTGmTGlSGkRFjQFiQFhPFgOFfOEeNEcMEbLEaLE`KD_JD\ ZJDYIDXHDWGCVGCUFCTECRDCQDBPCBOBBNBBMABL9AK8AJ8AI7\ AH6AG6AF8DF9GEAIEBLECODEQ } frm:Elliptic {; Jim Muth imag(z),real(c) z=flip(imag(pixel))+p1, c=real(pixel)+p2: z=sqr(z)+c, |z| <= 16 } END PARAMETER FILE=========================================

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Fractal web site
by David Dollevoet 01 Apr '05

01 Apr '05

Greetings, My fractal web page is updated for 2005-04. http://www.djd-fractal.com David Dollevoet

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FOTD 31-03-05 (Dog-Bone [5])
by Jim Muth 31 Mar '05

31 Mar '05

FOTD -- March 31, 2005 (Rating 5) Fractal visionaries and enthusiasts: After an image that takes 3 days to finish, one that finishes in under 8 minutes is a pleasure indeed. Today's rather harmless diversion with the MandelbrotMix4 formula takes us to the fractal that results when portions of Z^(-9.87) and Z^(-0.654) are combined and (1/C) is added. The parent fractal is a large non-critical, double-lobed open area with a large off-screen arc of chaos on its west side. A rather large midget appears in this chaotic area. Today's scene lies quite deep in the East Valley area of this midget -- not particularly deep into the valley itself, but deep in magnitude. I named the image "Dog-Bone". From a distance, it does rather resemble a bone that might have been chewed on by a dog. The rating of a 5 is about all I could do for the image, which is almost entirely an intentional artifact of the coloring. The 8-minute image will require little computer time to render. Those whose computers are still in the process of rendering yesterday's incredibly slow image will prefer to interrupt that rendering long enough to download the completed GIF file of today's image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A brief comment on the current news appears on the philofractal list version of today's discussion. A sunny day Wednesday, with light winds and a temperature of 63F 17C, kept the fractal cats occupied with the outdoor life. Not much excitement happened however, and they ended the day's ven- ture with a treat of tuna. This morning has brought increasing cloudiness, with rain promised by day's end. Hopefully the duo will have ended their journey by the time the rain arrives. My journey in fractal land will never end however . . . unless we run out of fractals that is. Until next FOTD, take care, and life is just a bocci ball. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com TART PARAMETER FILE======================================= Dog-Bone { ; time=0:07:53.74--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-5.80139915042569100/+1.382765652642630\ 00/2.030075e+012/1/-49.8862805177832627/0.174030749 params=-3.5/-9.87/-1.3/-0.654/0/800 maxiter=1000 float=y inside=0 periodicity=10 mathtolerance=/1 colors=000DoQ1pI3cD5R97E5911AMAAfJAzRJwUStX`q_inbr\ kezigsfimdjfbl``mVYoOWpIUrCSsTdWhq8mWCqBGmEMjHSgKY\ dMcaPiZSoWUu3g7AlQGqhKsdNt`QuXUvTXwP_xLbyHRYDF7ADE\ BCLCASD9ZD7eE6lF4sG3zG2wL2tQ2qV2o_2ld2ii2fn2ds`mm_\ oi_qfZscZu`YwYYyVYzSRpTKgUDZV7QW6Td5VmFNlPFkZ8j`Cg\ bFdcJaeM_fQXhTUiWSmYRpZRt_Qw`QzaQmPEaC3YG4UK5QN5MR\ 6JU6LQFMMNNIVPEbQAjR6rS3z`dEYgCViBTl9Qn8Nq7Ls5Iv4G\ x3Wg8jSCyCGqIHjNIbTJWYKPbLHhMAmN3rN7sMAsLDtKGtJJuI\ MuHPuGTmHWfI__JbSKfLLiELeHKbKKZNKWQKRVONZSJbWFf_Bj\ c7ng3rkBsfItbPuZWvVbwRixNpxJqqDrj7sc1vq_llZchZVcYM\ _YPYaRXdUWhWVkZUn`TrcSueRxbUq_XkX_dWYUY_W_aYac_cea\ egcgieikgkmimokoqmqsosuquwswyuyzwzzzS`3XS2`K2YQDWW\ NUaYSfgQcdOaaNZZLXWKUTISQHQNGTXGWfGZpGazK`wO_uSZrW\ Yp_XncWkgVijUghV`gVVeWOdWIcWCaVH`UM_TRYSWXR`WQeVPj\ UTbTXVT`NSdFSg7Ua8WW9XQAZKB_FCaDSbBgcAviHgoNTuUEz_\ 0ub2pd3kf4fh5bj6WcG`mePnY } 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 30-03-05 (Extremely Deep [9])
by Jim Muth 30 Mar '05

30 Mar '05

FOTD -- March 30, 2005 (Rating 9) Fractal visionaries and enthusiasts: Caution. Today's image is the slowest of all time. Unless you can afford several days of computer time, do not attempt to generate today's image from the included parameter file. Download it from the FOTD web site. In yesterday's FOTD discussion I announced that I had found a scene extremely deep in Seahorse Valley, but that it would take several days for my fastest computer to render it at full size. Well, I underestimated the ability of my fast P4-2300 machine when it is running straight DOS. When I booted it with DOS 6.22 and set it to the task of calculating the full sized image, it finished the job in under 3-1/2 hours, running at about 23 times the speed of the P200 and not needing to be kick-started back into high speed mode every half hour or so. This speed is somewhat of a surprise, since 2300 divided by 200 equals 11.5, which is only half of 23. I guess the 2300 does twice the work per cycle, at least with the high-speed Mandelbrot formula. The render time in the parameter file has been adjusted to reflect the time it would have taken my standard P200 unit to calculate the same scene. Needless to say, very few will wish to devote almost 3-1/2 days computer time to the calculation of today's image, which is why I sent it on ahead to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it may be viewed at once. Today's image is located extremely deep in Seahorse Valley, at a distance of only 0.00000799... from the mystical point on the X-axis. It shows a midget on the west shore of the valley. The almost unbelievable narrowness of the valley at this point is demonstrated by the X-value of the scene, -0.7500000000975. The iteration count of the large areas of purple is over 1,100,000, which is one of the reasons the image is so slow. The other reason is the maxiter, which at 450,000,000 is over 1/5 of the absolute maximum of which Fractint is capable. And even this extreme maxiter fails to close all the spurious holes in the image. The magnitude of 3*10^12 is not all that unusual, but I have included the mathtolerance entry in the parameter file to insure that anyone who decides to render the image from the parameter file does so at the correct magnitude. Searching for seahorses in the image is futile. I have no idea where they have gone, but they have totally vanished. What we have instead is a midget surrounded by a spider-web network of filaments, organized into nodes with peanut-holes at the center. The pattern of filaments around the midget is also surprisingly irregular. The expected powers-of-two organization of elements is there, but it appears to be breaking down. I wonder whether the 2-4-8-16... arrangement breaks down entirely even deeper in the valley. I rather doubt it, but I also doubt that I will soon be going deeper into Seahorse Valley. I named today's image "Extremely Deep", which is nothing more than a description of its location. The rating of a 9 reflects the mathematical interest. The artistic merit alone is probably closer to a 6. I think that with today's image I have satisfied my curiosity about what lies hidden this deep in the Mandelbrot valleys. Tomorrow's FOTD will return us to the world of more conventional fractals. I have yet to conclude the tour of the Elliptic orientation of the Julibrot, but I might stop off briefly in the MandelbrotMix4 formula for a bit of refreshment before returning to the fourth dimension. A perfect early spring day on Tuesday brought out the playful- ness in the neighborhood kids and the fractal cats as well. The duo actually started chasing each other around the yard, much as they did many years ago when they were young cats. It brought a twinge of nostalgia to me as I wondered if this was the last time I would see the nearly 15-year-old pair carrying on like kittens. Even though I had to call a few extra times to coax them indoors when evening came, I gave them an extra treat of tuna. They ended the day sleeping side-by-side on the couch. This morning is starting hazy but even milder. I expect another good day for the duo. For me it will be work first, then fractal play. The next fractal will playfully appear in 24 hours. Until then, take care, and be at ease in the abstract realm of numbers. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Extremely_Deep {; time=80:45:00.00--SF5 on a P200 reset=2004 type=mandel center-mag=-0.75000000009746660/+0.000007999957331\ 57/2.927877e+012/1/14.9973484273890882/-0.00159468\ 292361711339 params=0/0 float=y maxiter=450000000 bailout=9 inside=0 periodicity=10 mathtolerance=/1 colors=000zvuzttzrszprznqzlpzjozhnzfmzdlzbkz`jyZix\ XhwVgtUfqTenSdkRchQ`ePZbOW_NUYMSVLQTKNQJLNIJLHHIGE\ GFCDEABE8FIAILBLPCOSDRWEUZFXbG`eHciIflJipKlsLowMrz\ NuzOtzNswMstLrqKqoJqlIpiHofGodGqgFriEskEtnDupCvrCw\ tBxwAyyAzz9zz9xzEvzItzNryRoxWmw_kvciuhftldsqbru`qy\ YmwWivUetSasQZqOVpMRnKNmIJkGGjMLlRPnXToaYqgasletjh\ mikghnagqWftQewKdyEcwFcuFcsFbqFboFbmFakFaiFagFaeFZ\ hGXjHUmHSoIQqINtJLvJJxKGzKEzLCzLLmLMoSNpZOqePrlQss\ QtzTstWrnZqhapcdoYgnSjmMllHmhLmePmbSm_WnW_nTbnQfnN\ jnKm9fF8cG8`G8YG8WH8TH8QH8OHERJJTLPVMUYOZ_PdaRicSn\ fUthVyjXzlYroUfqRVtNKvKGn_Hm`HlaIlaIkbJjcJjcKidKhe\ LheLgfLgfPjiTmkXpm`rpdurhxtlzvjzuhztfzsdzrbzq`zpZz\ oYznWzmUzlSzkQzjOziMzhKzgJzgMzfPzfRzfUzfWyfZwf`ufc\ tffrehpeknemmepkerieugewfevjgvmhvpiutjuwkuzluzmtzn\ sznrzofzDdzBazA_y9Xy8Vy7Ty6Yz9bzBgzDlzFqzHvzJzzLzz\ NzzRwzUszXoz_htiltlotomup } END PARAMETER FILE=========================================

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Re: Fractint Digest, Vol 25, Issue 10
by Vortex Swirling 30 Mar '05

30 Mar '05

I wasn't suggesting calculating every point in the fractal! Something like this wouldn't take just terrabytes! Please don't go there, this isn't what I was suggesting! What I was suggesting is that for any one image, same parameters, same formula, given that the top left and bottom right coordinates are the same (same zoom) and the resolution was the same, the image should be able to be diced up and each piece could be calculated independently. If I have to restart for whatever reason an image that is taking hours or days to complete, the values its calculating are not different than they were last time. That is kind of frustrating actually. There are several times when Fractint starts all over when it shouldn't have to. For instance the Outside= is a coloring parameter yet every time it is changed the image calculation has to start all over again. It shouldn't have to do this. The strategy should be divided up into pre-processing and post-processing, but in order to do this, the pre-processed image (that is, all the point values) can't be thrown away. Even if its that you want to see some of the cool "animations" that occur while the picture is being drawn, just redrawing the picture point by point, what I am calling "replaying", shouldn't have to calculate all the points all over again. If you do a zoom or move outside the current image, change bailout, things like that, then of course the image has to be started from scratch. There may be some argument that at least some of the points might be the same but I don't propose that kind of complexity. -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.8.6 - Release Date: 3/30/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.8.6 - Release Date: 3/30/2005

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Re: Fractint Digest, Vol 25, Issue 10
by JackOfTradeZ 30 Mar '05

30 Mar '05

Vortex Swirling say: "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. ;)" I have always believed there is something there we haven't found yet, and it isn't supposed to be easy. I have always been intrigued by the part where the main right cardiod joins the first spherical subset; I call it the center of the Mandelbrot but technically it isn't. The region at REAL = -0.75 , IMAG = 0. I believe if we could see this region with the Mandelbrot expanded to the Magic "Universe" zoom depth of E+26, we will find the Keys to Creation, or maybe The Creator Himself smiling back at us. The reason I think this is because it is so difficult to get there! I have been trying for years. I actually made a zoom animation to about E+12 (it is posted on my site) but then fractint choked and I couldn't go any further. Also, rendering time is horrendously long in this region, at e+12 even 320x240 images take hours. And fractint has a deep zoom bug with all versions since 1995. I found this out while rendering my "Universe #3" viddie. It just freezes when it encounters a minibrot, but I don't know the exact depth at which it starts. This bug (er, - "software issue") has been carried foreward presumeably because noone zooms that deep and noone reported it. I found by trial and error that the 1995 edition doesn't have it, so maybe that was the problem with my zooms into the Canyon. I am trying again with a BASIC script that "feels it's way" down the canyon, approaching REAL/IMAG = -0.75/0, and zooming ever deeper, currently I am at e+13. The images look bizzare, a black wall on either side with a colored lake in the middle, bounded by ever more complex swirling buds and things that don't look anymore like sea-horses. This is gonna take awhile ... ... ... Stay Amazed! JoTz

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Re: Fractint Digest, Vol 25, Issue 10
by Vortex Swirling 30 Mar '05

30 Mar '05

This is where I think a shared internet or intranet cpu system could work. I was thinking a redesign of Fractint might be the solution but I'm moving completely out of the box. Consider this... When we do a fractal screen we see a colored image. But the underlying fractal is a coordinate plane of calculated values. Why not then be able to calculate those values and save them in a file. How different this is than disk video I don't know, but I do know I want a different effect. After the coordinate plane values is calculated it is retained. Then in fractint we "generate" the image again, but this time instead of calculating each point, they are simply read from the file. In this way we "play back" the image. We could even do the special effects while drawing the file and could redraw it at any speed we wanted. We could color or recolor the image any way we want. Essentially we could do anything that doesn't require a recalculation of any point. Since the file is just numbers calculated based on their location in the coordinate plane, that lends itself to divide and conquer. We decide how fine to dice the image up, and all those chunks are sent out to the grid and eventually returned filled in. There could even be a way to display the squares as they came back just for kicks. Now not knowing a lot about the internals for Fractint, does something like this seem feasible? It seems to me that the app to distribute the fractal around the net is then a separate application, and that fractint would only have to be modified to be able to read the file instead of calculating the points itself. -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.8.4 - Release Date: 3/27/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.8.4 - Release Date: 3/27/2005

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FOTD 29-03-05 (Deep Scepter [5])
by Vortex Swirling 29 Mar '05

29 Mar '05

5? This is a wonderful image! Generating the 1280x1024 for my permanent collection now. -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.8.4 - Release Date: 3/27/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.308 / Virus Database: 266.8.4 - Release Date: 3/27/2005

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Fractint and LCD monitors
by David Dollevoet 29 Mar '05

29 Mar '05

Greetings: Does anyone know of LCD monitors that support screen resolutions below 640x480 pixels? Does anyone have experience to share regarding Fractint with a LCD monitor? Thanks, David Dollevoet

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FOTD 29-03-05 (Deep Scepter [5])
by Jim Muth 29 Mar '05

29 Mar '05

FOTD -- March 29, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's image is named "Deep Scepter". Since we seem to have developed a fascination with the things deep in Mandelbrot valleys, it appears only proper to investigate the next valley beyond Seahorse Valley -- the one known as Scepter Valley. Today's image takes us to within 0.0004 of the mystic point of this valley, which lies at -1.25 on the X-axis of the M-set. If the answers to the secrets of the universe lie at the mystic point of Seahorse Valley, a further clarification of those answers must lie at the mystic point of Scepter Valley. The answers are still very deeply encoded however, for I see little in today's image other than the expected pinched-off elements, with kingly scepters scattered everywhere. Unfortunately, the routine nature of the image dampened the effort I put into coloring it. I could rate today's image no higher than an average 5. It has some interesting features, though it is up to the individual to decide whether these are interesting enough to justify the nearly half-hour calculation time. Those who decide that the modicum of fractal interest in the image is not worth the rendering effort may still see the image by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> In yesterday's discussion I mentioned a thumbnail image I had done some time back of a scene extremely deep in Seahorse Valley, where arbitrary precision math is required. I mentioned that the full sized version would require several months to calculate even at SF5 resolution. Last evening, with nothing else to do, I sat down at my fastest machine to see how deep I could go into Seahorse Valley before the program switched to arbitrary precision math and the calculation time became unrea- sonable. I found a midget on the western shoreline of Seahorse Valley with an imaginary part of under 0.000008, which at the thumbnail size appears to have much of the character of the old, impossibly slow thumbnail image, but does not need the slower math routine, and can therefore render in perhaps 12 hours on the fastest machine. Since the fastest machine is usually busy on some more immediate task, and slows to a crawl on fractals if it is left alone and not kicked into high gear every half hour or so, it will take a few days to finish the full-sized image. But I hope that when the image is finished, we will see Seahorse Valley as we have never seen it before. Heavy rain and occasional rumbles of thunder kept the fractal cats safely indoors all day Monday here at Fractal Central. The temperature of 52F 11C was mild enough, but the duo never got outside to check it. Needless to say, an extra treat of tuna was needed in the evening to assure their moods remained bear- able. Today is starting dry and mild, but it is cloudy and the wind is up. It remains to be seen how the duo will handle these conditions. For me, the disposition of the day has yet to be determined, but the disposition of the next fractal is near certain -- it will appear right here in 24 hours. Until then, take care, and be aware of the fractals lurking around you. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Deep_Scepter { ; time=0:28:55.66--SF5 on a P200 reset=2004 type=mandel passes=1 center-mag=-1.24999989217141500/+0.000436845163898\ 46/7.346209e+008/1/-105/0 params=0/0 float=y maxiter=2500000 bailout=9 inside=0 periodicity=10 colors=000qfcreesdgtchu`fvYewVcxTbyQ`wN_wKYwIXwFVw\ CUw9Sz7Rz9SzBTzCUwEVtFVqHWnIXkKYhLZeNZbO__Q`XRaYTb\ YUbMnbPm_SlXUlVXkSZkQajNciLfiIhhGkhDmgBpf8rf6ue3we\ 1tb5q_9oXDlVHiSLgPPdMTaKX_H`XEdUBhS9lQAkPAkNAjMAjK\ AiJAiHAhGAhFBgDBgCBfABf9Be7Be6Bd5Bd8DbBF`EHZHIXKKV\ NMUQOSTPQWROZTMaVLdWJgYHj_FmaDpbCmdGkeJhgMfhPcjTak\ WZmZXnaVodQfcLZcGRbBJb7BbBC_FCYJCWNCURCRVCPZCNbCLf\ CJjCGnCErCCvCAyC8xF7wI7vK6uN6tP6sS5rU5qX5p_4oa4nd3\ mf3li3kk2jn2jp2fo3cn3`m4Yl4Vk4Sj5Pi5Mh6Jg6Gf6De7Ad\ 77c84b81a83W75R67M59H4BC3D72E21I34M46P59T6BX7E_8Gc\ 9JfALhDPjFTkIWmK_oMcpPfrRjsTmpRkmPijOggMfdKdbJb_Ha\ XG_UEYRCXPBVM9TJ7SG6QD4OB3NDCSEKWFT_G`cHhgGihGjhGk\ hFliFmiFmiEnjEojEpjDqkDqkDrkCslCtlCulCulBafAIaKGZU\ EXbDV`GWZIXXKYWMZUO_SQ`RSaPVbNXcLZdK`eIbfGdgFfg3v9\ 8rDDnGIjKNfNSbQXZUaVXfR`kNcpKfnKhlKjjJlhJnfJpgIzeJ\ qdJicK`bKTaLKcHA`LCZOEXRG } END PARAMETER FILE=========================================

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Re: [Fractint] just a reply. . . .
by padski＠padski.com 28 Mar '05

28 Mar '05

Do not despair Jim, there will always be a welcome here in England for people like you, where thinking for oneself is still highly regarded, despite the best efforts of our poodle Blair. Paddy Duncan ----- Original Message ----- From: Jim Muth To: fractint(a)mailman.xmission.com Sent: Fri, 25 Mar 2005 23:38:50 -0500 Subject: Re: [Fractint] just a reply. . . . 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. _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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FOTD 28-03-05 (Deep East [6])
by Jim Muth 28 Mar '05

28 Mar '05

FOTD -- March 28, 2005 (Rating 6) Fractal visionaries and enthusiasts: We have been deep in Seahorse Valley and Northeast Valley recently, but we have so far not ventured into East Valley, which is sometimes called Elephant Valley. Today's image rectifies this oversight. I named today's image "Deep East" because it is a scene deep in East Valley. When speaking of depth in valleys, I refer to proximity to the valley's asymptotic point, not the degree of the magnification. With Mandelbrot valleys, the word 'deep' is a relative term. There is no theoretical limit to how deep one might go into these valleys, though computer speed sets a practical limit. In Seahorse Valley I have glimpsed a scene with an imaginary value of only 0.00000099. But the image took the better part of two days to render at a size with an area of only 1/100 the full screen. By comparison, the Seahorse Valley image that appeared as the FOTD for March 25 has an imaginary part of 0.00009, while today's East Valley image has a real part of 0.250001. In today's image we have the same pinched-off elements that appeared in the previous deep-valley images, though the shapes are slightly less enlongated. As was the case with the earlier images, the logmap is useless because it reduces all but a tiny bit of the image to flat colors. And even worse things are happening. Our friends the elephants seem to have broken up. All that remains of them is a few scattered bits and pieces of curled trunks and patches of elephant hide. All in all, today's image rates a mere 6. Even this is a bit above average however. To see today's image requires a wait of 24 minutes for the calculation to run its course. A better way to see the demise of the elephants is to download the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy clouds, occasional light rain, and a temperature of only 45F 7C here at Fractal Central on Sunday limited the Fractal Cats' outdoor time to under one hour. But they made the most of their limited time in the yard by chasing away the intruding tomcat from up the hill. An extra serving of tuna in the eve- ning was their reward for bravery under fire. Today is starting rainy. It looks like another challenging day coming up. For me it looks like work. The next fractal will appear in 24 or so hours. Until then, take care, then have fun. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Deep_East { ; time=0:24:18.76--SF5 on a P200 reset=2004 type=mandel passes=1 mathtolerance=/1 center-mag=+0.25000100012885520/-0.000000001628023\ 72/5.125187e+012/1/150.057952605152877/0.025554028\ 2813406863 params=0/0 float=y maxiter=1500000 bailout=9 inside=0 symmetry=none periodicity=10 colors=000R2YU2WR5ZO8`MBbJEdHHfEJiCMk9Pm7So4Vq2Xs3\ Rk4Lc4FX5AP54I60A603803A03B03D03F03G23I33K43L63N73\ P83QA3SB3TC3UE2VG2WH2XJ2YL2ZM1_O1`P1aR1bT1cU0dW0eY\ 0fZ0g`0ga060gHSFKUDMVCOXAQY9SZ7U`6Wa4U`3TZ5TX7QU9O\ RBLNCJIEGFGEBIB8K95LD4OG4QJ4TM4VP4XT3_W3aZ3da3fd3h\ a2eZ1bX1`U0YS0VP0TM0QK0NH0LF0IC0F90D70A407205807D1\ 8J4AO6BP8AP9APAAPBAQCAQDAQEAQFAQGARHARIARJARKARLAU\ QEWVIY_L`dPbiSdnWfrZilblffn`iqVmtPqvKtb6dJ0P`0Fr05\ UNM5obEhXNaScWNlOHmRCkUTiXXg_`ebecdlagp_itckqhmnmo\ krqhwsewobvk_ugatfctfercgp`inYklVljSnhPpfMrdJsbGu`\ DwZAyX7zY6wZ5t_4q`3oa2lb1ic0gd0de0af0Zg0Xh0Ui0Rj0P\ FOrHQrIRrKSrLTrNUrOVrQXrSYrTZrV_rW`rYbrbgpZcr`drae\ rcfrqFIpHKoIMoJOnLPnMRmNTlPUqQWuRYzTZzU`zTbzTcySdw\ SeqRenRflPghQddQb_Q_WPYWPVVPVUOWUOVVPUWPTXQWYRYZS`\ _Tb_Ue`WgaYjb_lZaoUcpPfqKirGirLirQhrVhr_grCdyEexFe\ xGexHewJewKewLevMevNfvPfv } END PARAMETER FILE=========================================

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Re: [Fractint] Re:just a reply. . . .
by padski＠padski.com 28 Mar '05

28 Mar '05

Luckily the England I live in has more to it than Earls Court wine bars. But yes, the fractals - I get the worst fractal relatively often, thanks to a graphics driver incompatibility on my laptop; a 2 or 3 colour straight-edged mess. Paddy Drunkeness, perversion, bigotry :) ----- Original Message ----- From: david To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> Sent: Sat, 26 Mar 2005 11:39:29 -1000 Subject: [Fractint] Re:just a reply. . . . And I have a co-worker who would tell you that "thinking for oneself is still highly-regarded" in England AS LONG AS YOUR THINKING IS THAT NOXIOUS FORM OF NON-THINKING CALLED "Politically correct" ... ;-) He refuses to go back to England for that reason. (But he's really an Aussie at heart!) Hmm, to get a bit more on topic here, we've had fractal art contests seeking the best fractals, and we have Jim's FOTD demonstrating good or great fractals every day ... how about a contest for the WORST fractal? How would you define "worst" in the first place? -- David gnome(a)hawaii.rr.com authenticity, honesty, community padski(a)padski.com wrote: > Do not despair Jim, there will always be a welcome here in England for people like you, where > thinking for oneself is still highly regarded, despite the best efforts of our poodle Blair. > Paddy Duncan > > ----- Original Message ----- > From: Jim Muth > To: fractint(a)mailman.xmission.com > Sent: Fri, 25 Mar 2005 23:38:50 -0500 > Subject: Re: [Fractint] just a reply. . . . > > 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. _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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Re: [Fractint] from M. Buckley, Dublin, Happy Easter
by RENRAD1＠aol.com 27 Mar '05

27 Mar '05

Happy Easter to the Fractint/Philofractint listers! :) Cheers! renrad1 my goodness, that's an enormous(!) beech, thanks for sharing the picture :)

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