March 2005 - Fractint - mailman.xmission.com

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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