April 2002 - Fractint - mailman.xmission.com

FOTD 30-04-02 (Frenetic [7])
by Jim Muth 30 Apr '02

30 Apr '02

FOTD -- April 30, 2002 (Rating 7) Fractal visionaries and enthusiasts: I'm actually nearing the point where I'll be able to say that the completion of the FOTD CD is within sight. My original hope was to have the disc ready for distribution sometime this summer. Considering the way things are going, I may actually make it and be back to an FOTD every day sooner than expected. Today's image illustrates a lively scene in the fractal that results when the rather confusing formula -1(Z)-(1/Z)-(1/C) is iterated. In this case, the M-Mix2 formula, with its adjustable starting value of Z, draws the critical plane that the M-Mix4 formulas misses -- not that it makes much difference in the final appearance of the parent fractal. Being colored with the outside=tdis option, today's image is more than lively, it is downright "Frenetic", and that's what I named it. The sharply defined, almost sinister features and almost too-brilliant colors earned the image a rating of an above-average 7. Had it not been for the area immediately surrounding the midget, which seems to have run out of detail, the image might have rated an 8. The <tdis> algorithm often does this when applied to the outside areas of fractals close to high-iteration midgets. There is probably a way to work around it, though I have not yet looked for such a work-around. The render time from the parameter file of 6 minutes on a P200 machine can be cut by over half by downloading the finished GIF image from Paul's site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather Monday here at Fractal Central was cloudy, blustery and chilly, with a temperature of 57F 14C which, combined with the winds, made the porch a bit too cold for the intrepid duo of housecats, who spent the day by the radiator, wishing the heat would come on a bit more often. A treat of mackerel kept them from becoming too testy. As for me, I'm going to spend the rest of the evening dozing in front of the TV, which will be showing a junky old sci-fi or horror thriller, which I will dredge up from my vast collection and which has long since lost its thrill. If I'm lucky I'll doze off fast; if I'm unlucky I'll get to watch the whole thing. Regardless, I'll return in three days with another thrilling chapter of the ongoing FOTD. Until that wondrous time arrives, take care, and ponder the hidden meaning of fractals. Jim Muth jamth(a)mindspring.com START 20.0 PAR-FORMULA FILE================================ Frenetic { ; time=0:05:57.34--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix2 function=recip passes=1 center-mag=-0.30415843043600430/+0.176317849078791\ 20/72998.29/1/-67.4999999992991775/-1.078220374095\ 55094e-009 params=-1/-1/-1/1/0/0/-2/0 float=y maxiter=1200 inside=0 outside=tdis periodicity=10 colors=000NchLciLckLclKenKepIerIetHfuHfwHfxFfzFhzE\ hzEhzEhzHezKczNbzQZzTYzWWzZTxbRweQwhNukLtnKtrHruFp\ wEpkKhbQbTWWIbO9hI1nC0z30x50u70t80p80n90kB2iC3fC5e\ E8bF9`HBYHCWIFTKHRLIOLLNNNKOOIQRFQTERVBTW9TVBRVCRV\ EQVFQVHQTIOTIOTKOTLNTNNRONRQLRQLRRKRTKQVKQWIQYIQYI\ QZHO`HObHOcFOeFLl9NhCOeFQbIQYLRVOTRRTOVVKYWH`WEcYB\ fZ7iZ3l`1pb0tb0wc0ze0zh0ze0zc0zb0zZ0zY0zW0zT0zR0zQ\ 2zO3zL5zK8zI9zFCzEEzCHzBIz8Lz7Nz5Qz2Rz1Tz0Wz0Yz0`z\ 0bz0ez0fz0iz0kz0lz0iw0hr1el7chBbcHZZLYVRWQYTLbRHhO\ ClN8tL3xI0zH0zB0zE0zF0zH0zI0zL0zN0zO0zQ0zT0zV0zW0z\ Y1z`2zb3zc3ze5zh7zi7zk8zl9zpBzrBztCzuEzzCzwEztEzpE\ zlEziEzhFzeFzbFzZFzWFzTFzRHzOHzLHzIHzFHzEIzBIz8Iz5\ Iz2Iz0Iz0Kz0Kz0Kz0Kz0Kz0Kz0Nz0Oz0Qz0Rz0Vw0Wt1Yp2Zn\ 3`e9YWEVOIRFNO8RL0WI0l90fC0`F0VI0OL0KO0ER28V32Y30`\ 50Z50Z70Y70Y71Y81W82W82V93V95VB5TB7TB7RC8RC9RC9QEB\ QEBOECOFEOFENHFNHFLHHLIIL } frm:MandelbrotMix2 {; 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)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE==================================

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Re: [Fractint] new person on the list
by RENRAD1＠aol.com 29 Apr '02

29 Apr '02

In a message dated 4/28/02 7:16:29 AM Pacific Daylight Time, emjeebee(a)tomaatnet.nl writes: << I am new on the list >> Hi! Welcome to the List, Mary, hope you're having fun with Fractint:)

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new person on the list
by M J Benkers 28 Apr '02

28 Apr '02

Hello, I am new on the list. My name is Mary and I am from the Netherlands. I hope you do like my picture. It is somewhere on the Mandelbrot set. It takes 6 min on my computer (P200) to make it. Mary Benkers mandelischia_coli { ; some strange bacteria? reset=1910 type=mandel passes=1 corners=-1.8605739577489129/-1.860573957723912/-9. 3407929358274632e-007/\ -9.340605428307932e-007 params=0/0 float=y maxiter=1500 inside=0 distest=1/71/1280/1024 colors=000uux<2>xxyzzzyyz<45>DGdBEcBEc<29>BBLAAKCD K<14>kuC<15>AAK<15>z00\ <15>zzz<12>e5Oc0Kd1K<12>xIBzKAzMB<14>zzU<15>9C`ADa BEc<42>ttw }

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FOTD 27-04-02 (Mandel Potboiler [5])
by Jim Muth 27 Apr '02

27 Apr '02

FOTD -- April 27, 2002 (Rating 5) Fractal visionaries and enthusiasts: Today's image was created with the MandelbrotMix2 formula, which is a more versatile version of the workhorse MandelbrotMix4 formula. The new formula has a new variable p4 parameter, which offers control of the starting point of Z. When p4 is set to 0,0, the new formula works exactly like the M-Mix4 formula, and has the same speed. I added the new parameter because many of the expressions I have been calculating with the M-Mix4 formula have more than one critical point, and I wanted the ability to explore these other critical starting points. So far, I have found little of interest in the other critical planes of the fractals I have explored, but the exploration has just begun, and some surprises are sure to appear. Since the p4 parameter of today's image is 0,0, the image could just as easily have been drawn by the M-Mix4 formula, which may be headed for a long-overdue retirement. I named the image "Mandel Potboiler" because, like a cheap romance novel, it is a rather pretentious image with a lot of surface sparkle but little depth. The bubble-like features also helped inspire the name. The surface sparkle gives the image a rating of an average 5; the lack of depth precludes a higher rating. The render time is under 7 minutes -- a bit slow for such an average image. But relief for impatience may be found on the web at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> where the pre-rendered GIF image will soon be posted. The fractal weather Friday here at Fractal Central was near perfect, resulting in near perfect fractal cats. With clear skies, warm sun, and a temperature of 66F 19C, the cats spent all afternoon on the porch. Tippy even started to stalk a robin that ventured dangerously close, but the bird saw Tippy coming and flew away well before Tippy was within pouncing range. Thomas watched the whole affair with interest. As for me, I've got work to do, both for money and for fun. And there's also that grass which was trimmed only six days ago but already is waving in the breeze again. And the FOTD CD also has a way to go yet. So I guess it's time to say farewell until next time, which will be here in two wags of Thomas's tail. Until the tail wags, take care, and enjoy the illusion. Jim Muth jamth(a)mindspring.com START 20.0 PAR-FORMULA FILE================================ Mandel-Potboiler { ; time=0:06:40.62--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix2 function=recip passes=1 center-mag=+7.67992477588323/-1.18115358183837/156\ 42.22/1/-87.5/-2.9822114222533003e-010 params=5/-1\ .321/0.5/-13.21/-1.454/525/0/0 float=y maxiter=1200 inside=0 logmap=120 periodicity=10 colors=0005zU5z95yH5xN5wU5t_5rf5pl5lh5jf5fc5c_5_Y5\ YV5US5RO5NM5LJ5IHzzJxxIwtIurItmIsjIrgIocHm_HlYHkUH\ jQHhNHjLJkILlGNmDOoARpNSr5VxVWtG_udcucfwmjwzlxujyu\ gyrfzoczkbzh_zdYzbWzZUzWSzSQzQOzONuONpNMkNMfMLaMLW\ LJSLJNJIIJIDIH8IH2HG0HG0HG0GH2EI6DJCCJGCLJAMO9MS8N\ W6O_6Ob5Sc4Wd4_f2cg1gh1kj0ok0sf2lb4gY5bU8YO9SLANHD\ ICED8G82I20J00L00M05M6ANDGNJJNQHWMEdJDmGAwD9zADzEH\ yHLwJNtMRpQVmSZkVahYddahbcl_foYhsUlwRozOrzMtwJtrHt\ lEtfCta9tW6tdCsmHswMrzQrrRrcSrQUrDUr6_f1dW4fS5gQ6h\ N9hLAjICkGElDGlAHm8Jo5Lp2Mp0Or0Qs0Rs0Yj1baAhSJmJSt\ Aay1hp9agHVZONQVHHb98j20p09h2Hb8OVEWOJdIOlAVt4_z0d\ w0gs2ho4jk6lf8mbAoZCrVEsQGtMIwIJxEMvANr9Jm9Hm9Em9C\ m99m8cz8cz8cz8cz8czCczE1mH5mJ8mNCzQEzSHzVLzZNzaRzc\ UzfWzhUzkSzlRzoQzrOzsNzuLzwJzyIzzHzzGzzEzzDzxGzoIz\ gJzZMzQOzIQzIOzGMzLlzJjzHhzGfzEdzCbzAaz9Zz6Yz5Vz4U\ z5Uz5Uz6Uz6Uz1Uz2Uz2Uz4Uz } frm:MandelbrotMix2 {; 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)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE==================================

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test
by Mark Christenson 24 Apr '02

24 Apr '02

This is only a test. Really.

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FOTD 24-04-02 (Scherzo [8])
by JimMuth＠aol.com 24 Apr '02

24 Apr '02

FOTD -- April 24, 2002 (Rating 8) Fractal visionaries and enthusiasts: Today's fractal is a picture of a midget in the Z^sqrt(3)+C fractal, a fractal that is infinite both in surface extent and in its depth. The particular midget in today's image is located in a cut-off fragment of a spiral elephant-trunk located in the East Valley area of the parent fractal, which is shaped surprisingly like the classic M-set. This midget is one of the more interesting ones I have found in the range between the linear non-fractal Z+C and the ultimate fractal Z^2+C. The MandelbrotBC1 formula is a great help in getting the most out of fractals in this range. If the image on one level of the logarithmic spiral shows little of interest, I merely go up to the next level by adjusting the real(p2) parameter. I named the image "Scherzo", a word that describes a lively and humorous musical composition. It was the first word that came to mind, and has little to do with the actual appearance of the fractal. Because it is perhaps the most satisfactory midget I have yet found in these under Z^2 fractals, I rated it a lofty 8, a rating that might be a bit liberal. An extra feature of the image is that it renders from the parameter file in under 5 minutes. But 5 minutes can seem an awfully long time when one is waiting for a fractal to finish and other things need to be done. Relief for impatience is at hand in the form of the completed GIF image, which is available on the W.W.Web at Paul's site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather Tuesday here at Fractal Central was brisk and breezy, with a temperature of 55F 13C. But a strong sun peeking between the clouds gave enough warmth on the porch to keep the fractal cats happy for over an hour. My happiness did not arrive until I had most of the day's work behind me. And then I was happy. I'll be even happier when today's work is behind me. But the greatest happiness of all will come when the FOTD CD is finished and if it proves to be a success. I'm currently involved in re-writing many of the short stories I have written over the past 20 years. When reading my own writing some 10 to 20 years after I wrote it, I sometimes wonder how I could have written something so trite, and then there are the all-too-few times when I wonder how I could have written something so good. Regardless, the next ongoing FOTD will appear on April 27th. Until then, take care, and hold your breath. Jim Muth jamth(a)mindspring.com START 20.0 PAR-FORMULA FILE================================ Scherzo { ; time=0:04:43.20--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=recip passes=1 center-mag=-0.21378685445671390/-0.076303594971113\ 36/337296.3/1/-162.5/-1.8837750803690767e-010 params=1.73205/0/30.69/0 float=y maxiter=1800 inside=0 logmap=130 symmetry=none periodicity=10 colors=000L00P30S60V70_A0aD0dF0gG3jGCmILpISrI`uJix\ JpzLyzLzzLzxazpszizzdzz`zzXzzUzzOymJxcFuZAsW6rJ1oM\ 0mP0lS0jT1c`DYfPQm`LslDzx7zz1zy1yo1ld1`X1OM1CC1031\ 0970FC9LILQMVXSfaUpfUzcUpZUgUUaPUWKTQFSKASE0QQ0QQ0\ QQ0PQ0PP0PP0OP0OP0OO0MO0MO0MO0LM0LM0LM0LM9WgCeuYTi\ TKmO7p03z9FzOPzc_zrizofzldzjazg`zfYzcXz`Tz_SzXPzVO\ z_SxaXud`ridolijomgsrdvvayz_ssVomSjgPfaMaXJYQGSJDO\ DAJ77F14A01600400400400300300300100100100000000000\ 00000000000000000000000000000000000000000000000000\ 0000000000000000000000000000000000000TzDSyCSxCSxCQ\ vCQvAQuAPsAPsAPrAOr9Op9Op9Mo9Mm9Mm7Ll7Ll9LjAJjCJiD\ JgFIgGIfIIfJGdLGdMGcOFaPFaQF`SD`TD_VDYXCYYCX_CX`AV\ aCVcETdHSfJSgMQiOQjRPlTPmVOoWMpYMrZLs_Lu`JvaJxbIyc\ GzdGzeFzfFzgDzhDziCzjAzkAzl9zn9zp7zq6zr6zt4zz4zz3z\ z3zz1zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0\ zz0zz0zz0zz0zz0zz0zz0zz0z } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(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 20.0 PAR-FORMULA FILE==================================

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FOTD 21-04-02 (On the Negative Stem [7])
by Jim Muth 21 Apr '02

21 Apr '02

FOTD -- April 21, 2002 (Rating 7) Fractal visionaries and enthusiasts: The image-rerendering stage of the FOTD CD preparation is complete, as is the organization of the FOTD discussions. What I now need to make the disk a big seller (25 copies) is something extra. I already have hundreds of fractals that I produced before I started the FOTD in April 1997. I also have scores of short and not-so-short stories on science-fiction, philosophical and mystical themes that I have been writing at intervals over the past 20 years. But I still need something extra to make the disk move out like water at a marathon race. Cat pictures might be just the thing . . . Today's image is from my archives. I found it over a year ago while I was working on fractal images that resemble lizard skin. The name "On the Negative Stem" describes the location of the midget in the image. And doesn't the term 'negative stem' sound better than 'negative tail'? After a moment's consideration, I rated the image a 7. The unusually powerful textures garnered that above-average rating. The 7-minute render time is a bit slow, so a download may be the better choice. The download can be found at Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather Saturday here at Fractal Central featured lots of clouds and warm temperatures around 82F 28C. The cats must consider such conditions ideal because they were outdoors from 10am until sunset, which is just before 8pm at this time of year. They behaved all the time like angels, one of the few days this has ever happened. As for me, it's just past 11am and I must get moving. Until next time, take care, and don't get abstracted by the abstract features of fractals. Jim Muth jamth(a)mindspring.com START 20.0 PAR-FORMULA FILE================================ OnTheNegativeStem { ; time=0:07:23.58--SF5 on a P200 reset=2001 type=formula formulafile=allinone.frm formulaname=mandelbrotmix4 function=recip passes=1 center-mag=-0.78591456586991960/+1.210154351001015\ 00/2.009572e+011/1/27.5021443003626942/-0.00178625\ 504485115105 params=-0.6/-0.85/0.06/-8.5/-2.16/525 float=y maxiter=1500 inside=0 logmap=138 sound=off colors=0000000000000000000000000000000000000000000\ 00000000000640B93GD8NIFSNLXQQaVXh_cmbhrgnyquzuzzzz\ zzzzzzszzizzazzSzyIzw8zs0zr4zm8zhBucFnZIgULbPPXKSQ\ FVLAZE4a80d30h00k00n00k00h80fJ0cV0af0ai0al0ap0as0a\ w0ax0az3az4az6azAazBazDczBczAdxAds8dn6fg6fb4fY3hS3\ hN1hI1kL4nO6pQAsUBwXDyYGzaIzbLzfNziPzkSznUzpVzXSzE\ Qw0Nr0Lk0Gd0D`08U04N00I30B804B00E03QD6acAlz`zZ`zP`\ zF`z4`z0`w0ar0al0ag0ad0c_0cV0cS0cN0dI0dE0d90d40f10\ f00f00f00i00k60nG0pO0sX0uf1yn1zx1zz1zz1ux6mgAcSDVB\ G`4Kc0Nf0PrzVwzUzzSzzSzzQzzPzzPzzNzzLzzLzpZhYkPGwK\ JpGLkDOdAQ`6UU3VP0YI0_F0bV0dk0YzDOza0zc1zd3za4z`4z\ Z8zV9zUBzSDzQEzSGzSIzUJyULrVNiVOcXQXXSQZUKZVB`X4`Y\ 0a_0aa0Sb0Kd0Bf03g00i00k00l00n00p10r30s40u60w80xA1\ zB3zD4zF6zG8zI4zL1zN0zP0zQ0zU0zV0zX0zZ0z`Kz6VzAfzD\ zzdzzdzzfzzfzzfzzfwzZrzSnzKizDdz4az0Qz8GzG6zPUzdpz\ hnzVmz0kz3iz8hzDfzIdzLczQ } 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 20.0 PAR-FORMULA FILE==================================

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Fractal Universe Calendar 2004
by gumbycat 18 Apr '02

18 Apr '02

This is a final call for images! The April 30 deadline is almost here! Please submit your fractal artwork for consideration for inclusion in the Fractal Universe Â® Calendar 2004 now. All the information you will need is detailed on the following website: http://www.fractalforum.com/fc2004 Please make your submissions and any additional enquires you may have via the contact form on the above website. Thanks and good luck! Linda Allison and Tina Oloyede xxxxxxxxxxxxxxxxxxxxxxxxxxx Fractal Forum http://www.fractalforum.com xxxxxxxxxxxxxxxxxxxxxxxxxxx

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FOTD 18-04-02 (Ensign [7])
by Jim Muth 18 Apr '02

18 Apr '02

FOTD -- April 18, 2002 (Rating 7) Fractal visionaries and enthusiasts: I named today's image "Ensign". I had no real reason for giving it such a name -- with as much as I have to do, I simply could think of nothing better. I rated it at a 7, which I believe is the highest rating to have been given a FOTD since I cut the FOTD schedule to one every 3 days. (When the CD is ready, the FOTD will return to its normal every-day schedule.) The parent fractal was created by the simple formula: -5(Z^(-1.1))-8(Z^(-11))+(1/C), a formula that creates a grossly oversized double-negative fractal. As is the case with many of these oversized double-negative fractals, most of the interest lies relatively near the origin, where the fractal takes on a critical appearance. Most of today's parent fractal appears to be a non-critical area where midgets are unlikely to be found, but there is the usual small area of interest near the origin. The point I chose to check for midgets lies at the end of a filament extending from a mandel-shaped bud. Of course, in fractals the filaments have no end. No matter how close the zoom-in point lies to the 'end' of a filament, by the time a midget is reached, the image has been magnified so much that a near infinity of even smaller midgets can be seen lying farther out on the filament. The trick lies in finding a midget that is close to but not beyond the limit of resolution. As a matter of passing interest, starting with a bloated parent fractal thousands of times the size of the default screen does not give a greater range of sizes to explore. The large size merely shifts the decimal point to the right without increasing the range of precision. Today's render time of just under five minutes is worth the satisfaction of doing it for oneself. Those who are already satisfied with themselves can find the rendered image posted to the two FOTD web sites at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather here at Fractal Central Wednesday was ridiculously hot. The blazing sun and incredible afternoon city temperature of 102F 39C made life on the porch far too uncomfortable for the cats, who passed the heat of the day lying under the air conditioner, trying to catch as much cool air as possible. While the cats were trying to keep cool, I spent the day trying to get as much work done as possible so that I can advance the FOTD CD, which is progressing but still has a way to go. (Those who claim that I will never finish the CD will be given ample chance to eat their words when the disk is ready.) As for me, it's hot again today, the cats are already testy, and I've got a pile of work to get out of the way -- or at least to start. So until next time, which will be on April 21, take care, and be where the action is, but don't become a casualty of the action. Jim Muth jamth(a)mindspring.com START 20.0 PAR-FORMULA FILE================================ Ensign { ; time=0:04:42.81--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-2.53422952923341000/-2.428182368486123\ 00/5.617065e+007/1/62.5/1.20480510572285038e-006 params=-5/-1.1/-8/-11/0/0 float=y maxiter=900 inside=0 logmap=88 periodicity=15 colors=00070E80EA0EB0ED0EE0EG0EH0EJ0EK0EM0EN0EP0EQ\ 0ES0EV1EY4E_7JbAMeDQfGViJYlMbnPeoTfoXfq`hqchqhirki\ rokrrkvvrzzrzzzzzzzzzzzzlzrezuXzxPtzGoz8kz1fz0ez0e\ z0Tz0Jq18e10THzzNznSz`XzPbzBfz0kz0cz2XlJQY_oqbzzez\ zczxbzr`zl`wf_t`YoVXlPXiJVeDTb7S_1SS0`M0hG0o80x20z\ 00zzz0zz0zz0zz0xz0tz0qz0nz0kz0hz0YuTPrzNtzNuuNwrMx\ nMzkMzfKzbKz_KzVJzSJzNJzJHzGHzBHz8XAzVDqTGcSJQ7T`0\ ck0Tf8JcJ8`P5iT4q_2xc1zh0zT8rEGY0PD0X00_00b02e08h0\ Ek0Jn0Pq0Vt0_w0ez0iz0`z5TzBMzHEzN7zT0z_0ze7nTKbJYS\ 8kG0x50oB2fHGYNTQSfPVhNXhMYhK_iJ`iHciGeiEfkDhkBikB\ kkGihJifNieQicTibYi``i_ciYhiXkiVniToeQq`PrXMrSKtPJ\ uKGuGEwBDx7Az58z77z84zA2zB1zD2zE2zH4zK4zN5zQ5zT7zX\ 7z_8zb8zeAzhAzkAwnBtqBqtBnwBkzDhzDezDczDYzMXz`XzBP\ zHHzNAzS2zY0zc0zhVznQzhKzPQzKVzH`zDez8kz4oz1uz0zz0\ zz0zz0wz0iz1Yz8KzH7zP0zX0zS0zN0zK0zG0zD0z80z40z10z\ 00z00z00z02z0Bz0Kz2Tz8bzE } 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 20.0 PAR-FORMULA FILE==================================

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FOTD 15-04-02 (Discus [6])
by JimMuth＠aol.com 15 Apr '02

15 Apr '02

FOTD -- April 15, 2002 (Rating 6) Fractal visionaries and enthusiasts: If all goes well, before the day is finished, I will have finished re-rendering the last of the FOTD fractal images in SF6 format. This will complete the largest single project in the preparation of the FOTD CD. Several more large tasks remain to be accomplished, but now that the major task is finished, it will be downhill the rest of the way. Today's image, which was created by the workhorse MandelbrotMix4 formula, is an exploration of the fractal that results when 0.1 part of Z^(-9) is added to 1 part of Z^(-0.9), and the sum added to (1/C). I named the image "Discus" when that word came to mind as I was studying it. I rated the image a 6 when I left the room and returned a few minutes later to find it waiting on the screen. The 6-minute render time is nominal, but even this can be bypassed by visiting one of the FOTD web sites and downloading the completed GIF image from there. The web site URL's are: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather Sunday was summer-like here at Fractal Central, with lots of sun and a temperature of 77F 25C. A brief light shower around sunset did nothing to spoil the cats' day. Of course, by sunset the dynamic duo had already enjoyed a full day in the yard. At one point, Tippy the tabby started feeling intrepid and ventured two doors up the hill. The sound of a can of tuna being opened brought him hurrying back where he belongs. Thomas, the oversized yellow-orange one, kept a watchful eye on Tippy as Tippy ventured away, ready to leap to the defense if Tippy had gotten into trouble. Luckily for Thomas, Tippy needed no help. And if I don't get my day's work done, some unpleasant things are sure to happen. Until next FOTD on April 18, take care, and whatever happened to catastrophe theory? Jim Muth jamth(a)mindspring.com START 20.0 PAR-FORMULA FILE================================ Discus { ; time=0:06:01.03--SF5 on a p200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+228.9267420799002/+28.2204563662475/1.\ 774846e+009/1/22.533825173915968/-0.05346987079465\ 01886 params=0.1/-9/1/-0.9/0/0 float=y maxiter=1000 inside=0 periodicity=10 mathtolerance=/1 colors=000euHbu1_z4Yz6Uz9SzCPzEMzEUz4_z0gz0mz0zzHz\ zUzxezppzjzzezzYzzSzzMzz0pz01z00z00r00U014EK0U_0jp\ HzezzYbr_1S_01_0MK0g40z00z00z00z_0zb1zb9reHbePKgU4\ gYH__USbgKbuEMzU9zg0zx0zz9zxbzmzzbzx0zrEjp1Mj00g00\ b00_0zK006040HM0be0zu0zr0zr0zz00z00z00z00z01z04z09\ z0Cz0Hz0Kz0Pz0Sz0Yz0_z0bz0gz0jz0pz0rz0xz0zz0zz0rz0\ gr0Yb0MM0C60100000400C40K60S90bE0jH6rKEzPMzSUzUbz_\ jzbrzezz_uzYpzSjzPezK_zHUzESzMPzUez_KzgHzmEjuC_zCP\ z4bz0pz0zz0zz0zz0z0zz0Pz00z00z00z90zH0zS0z_0zj0zr0\ zz0zz0zz0zz0zz0zz1zz1zp4z_4zK6r46j09_09S0EP0KP0PP0\ UM0YM0bM0gM0mK0rK0uK0zK0zH0zH0zH0zH1zM4zP4zS6zY9z_\ 9zbCzeEzjEzmHzpKzuKzxMzzMzzUzx_zrezmmzgrzbxzYzzSzz\ MzzHzzCzz6zzEzzKzzSzzYrzemzjeur_pxSjzMezH_zPUzUPz_\ KzeEzm9zr4zx0xz0uz0rz0pz0mz0jz0gz0ez0bz0_z0bz0ez0g\ z0jz0mz0px0rr0uj0xb1zU4zP9zHEz9Hz1Mz0Pz1Uz4Yz9bzCe\ uEjrKmmMrgumzpuzmuzjumguY } 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 20.0 PAR-FORMULA FILE==================================

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