December 2003 - Fractint - mailman.xmission.com

FOTD 19-12-03 (Lacy Bubbles [6])
by Jim Muth 19 Dec '03

19 Dec '03

FOTD -- December 19, 2003 (Rating 6) Fractal visionaries and enthusiasts: Things will be quite busy for the next two weeks here at Fractal Central, so there may be a number of days on which the FOTD fails to appear. This is no cause for concern. I will post a notice on the days when there will be no FOTD. The good news is that after the first of 2004, the FOTD will be back on its regular schedule. Fractals are forever. Today's scene lies in the parent fractal created when 4.25 parts of Z^(-7.6) are added to 4 parts of Z^(-1.5) and (1/C) is added. The image is an evaporated one, meaning it doesn't exist, at least as an inside vs. outside fractal. The image consists of nothing but trapped 'inside' points, made visible by the 'bof60' inside fill. This fill creates images much like those created by the 'fmod' fill -- scenes of bubbles overlapping bubbles, such as those that appear in today's image. When trying to think of a name for today's image, I was undecided whether the image was lacy or bubbly. After a few minutes indecision, I decided on the name "Lacy Bubbles", a good compromise. The rating of a 6 was much easier to determine. It seems as though at least half of my current FOTD's rate a boringly common and alltogether average 6. The render time of 17 minutes is a bit slow. I recommend the relief from the wait that can be found on the FOTD web sites at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The freezing temperatures and brisk winds kept the dynamic fractal duo ensconced in the warm indoors all day Thursday. Realizing how cold it was outside, they didn't even ask to venture forth. In the evening, I rewarded their patience with a dish of prime tuna. And today is starting just as cold. Most likely, the duo will remain indoors for the entire day. The work is again starting to back up, so I had best get on it. Until next time, take care, and see you soon. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Lacy_Bubbles { ; time=0:17:43.86--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.32397176109759400/-0.135254552039921\ 60/31313.17/1/-175/-2.52921648277726341e-008 params=4/-1.5/4.25/-7.6/0/1e+100 float=y maxiter=1200 inside=bof60 periodicity=10 colors=000zzwvwqtvorumptknsilrgjqehpcfoadn_bmY`lW_\ lUYkSWkUUjXSi_QibOheNhgMfdLeaKd_JcXIbVHaSG`QF_NEZL\ DYICXGBWDAVB9U89T68R57Q56P55O54N54L43K42J41I40H40G\ 4AOCKWJUcRckYmseqvhMXLMXL4XL5_N5bPhPIiQJiRK_tXcu`g\ vcebbdJac0aKkDMcEOXE1hzmxzmxzSuYSqbSmgSjkTcgTXdTQa\ TJZSLTRNOKNGQPJGcU7J3DM7JOBVw7sl4sA1cI80BDS4FIbyLY\ iNUU``dWiqM1mOAjQIgSReUZbWf`VgSVgKUgBUg3Vd3Wa3XZ3Y\ W3ZT3_Q3`N3aL3bI3cF3dC3e93f63g33h13nJ7s`BxqFwlEvhE\ udEu`EtXEsTDsPDrLDqHDqDDrFKrHQrJWrLasNhsPnsRtsSzpZ\ qndhlj_PoSPhOPbLPWHu4edFS9K0u1LjAI_IGcPmZQaUQQleDd\ _EXVEZRluu4WUaTSURRMknv_a_VLMTNKSOIQPGQNRPPKlFMfIK\ `LIVOG_CBUJDgECYKDK_Lk5qeBg_GYULOMEHNIGOMFfuq7nNDe\ KJYHiSf6psBihGbZLWO5jGLO5MP8FQbBNW7LP3JJ7MKAOKEQLH\ SLLUMOWMSYNV_NYbNadOdfOhhPkjPolQrnQupQqnOnlNkjMhhL\ efKbdJ_bIX`HUZGRXFOVELTDIRCFPBiNohMnhLnhLnhKmhJmhJ\ mgIlgIlgHlgGkgGkgFkgFkmCl } 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 18-12-03 (The Phantom Wave [5])
by Jim Muth 18 Dec '03

18 Dec '03

FOTD -- December 18, 2003 (Rating 5) Fractal visionaries and enthusiasts: Today's image has been named "The Phantom Wave". Don't ask me why I gave it such a name -- I have no idea. The name might refer to a wave of bubbles or a wave of midgets, or even a wave of FOTD images calculated by the MandelbrotMix4 formula. More likely, it's a wave in my imagination. But whatever the reason, there must be some kind of wave connected with the image, which lies in the parent fractal created by subtracting 0.9 parts of Z^(1.2) from 2 parts of Z^(-1.2) and adding (1/C). The bubbly effect in the image was achieved by rendering the scene with the outside=fmod and the proximity=3. At the moment I am not sure how the 'fmod' option works and how the proximity affects it, but the information is somewhere in the monumental stack of help included with the Fractint program. I could rate the image no higher than a 5, a rating that is ho-hum average. No, I do not expect a rush to see the image when I admit in the discussion that it is un-exceptional, but the fun lies in finding the FOTD images and writing about them. Profit is obviously no motive in the creation of the FOTD. The render time on my worn-out P200 machine, which just barely keeps slogging along, is almost exactly 6 minutes. On the state- of-the-art units out there the image will render notably faster. The fastest way of all to see the phantom wave is to download it from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> and examine the image very carefully for any signs of a wave. The Wednesday rain here at Fractal Central changed to snow at 2pm, but ended within an hour before accumulating on the ground. The cats, who spent the entire day indoors, were not concerned with the change-over. They needed only a small treat of tuna in the evening to maintain their good spirits. Today is starting partly cloudy, breezy, and cold -- the kind of day that keeps fractal cats indoors and the fractal human busy working on the next FOTD, which will appear in 24 hours. Until then, take care, and be at peace. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ The_Phantom_Wave { ; time=0:06:00.08--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.38515755772367030/+0.157082089485032\ 80/89131.38/1/-30/2.018383862823e-010 params=2/-1.\ 2/-0.9/1.2/0/0 float=y maxiter=1200 inside=0 proximity=3 outside=fmod logmap=yes periodicity=10 colors=000pgopgmoglngknfkmfjlfilehkehjegjdfidfhdeg\ cdgccfccebbebadb`ca`ca_baZa`Za`Y``X__WZ_WZ_VYZUXZT\ XZTWZSVYRVYRUYQTXPTXOSXORWNQWMQWLPVLOVKOVJNUJMUIMU\ HLTGKTGKTFJSEISDHSDHRCGRBFRBFQAEQ9DQ8DP8CP7BP67O09\ O3BN6DN9FMCGLEIKHKKKMKNOKQOKRP9SP9SQ9SQ9TRATRATRAU\ SAUSAUTBVTBVUBVUBWUBWVCWVCXWCXWCXXDYXDYXDYYDZYDZZE\ ZZE__E__E__E_`F``F`aF`aFabGabGabGbcGbcGbdHcdHceHce\ HdeHdfIdfIegIegIehJfhJfhJfiJgiJgjKgjKhkKhkKhlJjkKh\ jKgiKehLdhLbgLafM`eMZdMYdMWcNVbNUaNS`OR`OP_OOZOMYP\ LXPKXPIWQHVQFUQEVRBUQCUQDTPETPFSPFSOGROHRNIRNJQNJQ\ MKPMLPMMOLNOLNNKONKPNKQMJRMJRLISLITKIUKHVJHVJHWJGX\ IGYIFZHFZHF_GE`GEaFCcGDbGDaGEaGE`GF`GF_GG_GGZGGZGH\ YHHYHIXHIXHJWHJWHJVHKUHKUHLTHLTHMSIMSINRINRINQIOQI\ OPIPPIPOIQOIQNGRPIQNJPMLPKMOJNNHPNGQMESLDTLBUKAWJ8\ XJ7ZI5_H4_I2`H3`H3`H3`H3`G3TnHUmJWmLXlNYlP_kR`kTbj\ VcjXeiZfi`ghbihdjgflghmfj } 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 17-12-03 (Too Much to Endure [8])
by Jim Muth 17 Dec '03

17 Dec '03

FOTD -- December 17. 2003 (Rating 4) Fractal visionaries and enthusiasts: Today's low-rated image lies in the 2-part parent fractal that appears when one part of Z^(1.1) is subtracted from 0.3 part of Z^(-1.1) and (1/C) is added. This parent consists of two large but distorted Mandeloids with much chaos surrounding them. Today's scene lies in the East Valley area of the less-distorted Mandeloid. I named the image "Too Much to Endure" because of the vast amount of chaos in the scene. This chaos could have been reduced by using a broader color palette and turning on the logmap, but I wanted to emphasize the chaotic nature of the scene, and the way the chaos mingles with order. As so often happens, a midget lies at the center of the frame. It is a thoroughly average midget with little to brag about. As a result, and because the disorder is excessive, I can rate the image no higher than a 4. And the render time of almost 15 minutes is excessive. But this is the only chance you will ever have to see this particular midget, so take advantage of the opportunity while it still exists. The 15-minute wait for the image to render may be avoided by downloading the completed GIF image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The weather was pleasant enough here at Fractal Central on Tuesday, with adequate sun and a temperature of 54F 12C. The fractal cats enjoyed the conditions to the fullest, which at their advanced age is not very much. When settle-down time came, they were ready to settle down without complaint. But it's raining this morning. What this means to the cats has yet to be determined. As for myself, I've got a bit of work to get out of the way before the day ends, and the best way of doing it is to start. Until next FOTD, take care, and see you soon. (In 24 hours, in fact.) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Too_Much_to_Endure { ; time=0:14:42.54--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.02407524282701938/-0.632799848504139\ 70/2.240317e+007/1/44.999999938593831/7.4002309662\ 0912035e-008 params=-1/1.1/0.3/-1.1/0/0 float=y maxiter=3000 bailout=9 inside=0 periodicity=10 colors=000jYckXdkWdlVelUemTenSfnRfoQfoPgpOgqNhqNhr\ MhrLisKitJitIjuHjuGkvFkwEkwDlxClxCluDirEfpFcmG`jHY\ hIVeJScJQ`IOZIMXHLVHJSHHQGGOGEMGDJNFGTHD_JAeLCfMDg\ MFgMGhMIhNJiNKiNMjNNjNPkOQlORlOTmOUmOWnPXnPZoP_oP`\ pPbqQcqQerQfrQgsQisRjtRltRmuRmvSnuRntRnsRosRorQoqQ\ opQppQpoPpnPpnPqmPqlOqkOqkOrjOriNriNrhNsgNsfMsfMse\ MtdMtdMtcLubLuaLuaLu`Kv_Kv_KvZKvYJwXJwXJwWJwVIxVIx\ UIxTIxSHySHyRHyQHzPIyQHyQHyRHyRGxSGxSGxTFxTFwUFwUE\ wVEwVEvVDvWDvWDvXCuXCuYCuYBuZBtZBt_At_At_At`9s`9sa\ 9sa8sb8rb8rc7rc7rd7qd6qd6qe6qe5pf5pf5pg4pg4oh4oh3o\ i3oi3sm2oi3lf4hc5e`5aY6ZV7VS8SP8OL9LIAHFBECBA9C76D\ 33EQ2i00E12G23H34I46J57K68L6AM7BN8CO9EPAFQBGSCITCJ\ UDKVEMWFNXGOYHPZIR_IS`JTaKVbLWdMXeNZfO_gO`hPbiQcjR\ dkSflTgmUhnVkqUioUhmUglUfjTdiTcgTbfTadT`cSZaSY`SXZ\ SWYRUWRTVRSTRRSRQQQOPQNNQMMQLKQKJTMOVNSYOX_P`aQddS\ ifTmiUrkVvmWzkVwjVtiVrhVo } 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 07-12-03 (Scorpio the Scorpion [6])
by Jim Muth 16 Dec '03

16 Dec '03

FOTD -- December 07, 2003 (Rating 6) Fractal visionaries and enthusiasts: Today's image is a dynamic one -- an image of a midget in the Z^1.09+C Mandeloid, which has been sliced 96 turns up the hyperspatial logarithmic spiral. It is incredible that a midget could be found in a fractal with an exponent as close to unity as 1.09, but today's image does not lie. The midget is there for all the world to see. But it doesn't look like a midget. It looks more like a comet tearing through the solar ejecta, complete with coma and tail. This appearance reflects the shape of its oversized parent fractal. I could have named the picture something like 'N.E.O.' or 'Solar Wind', but before giving the image a name, I looked more closely and noticed in the comet's tail an object that vaguely resembles a scorpion. I named the image "Scorpio the Scorpion", which is the name assigned the constellation in the southern sky that resembles a scorpion. Scorpio is also a sign of the zodiac, and one of the 12 signs of Astrology. Do I believe in Astrology? Yes, the study known as Astrology most certainly does exist. Do I believe that the science, (or pseudoscience), of Astrology has any truth behind it? That is a much harder question to answer. Astrologers certainly do believe that Astrology is a valid study, or they would have discovered its uselessness long ago, and it would have died. (Of course, they could be charlatans, preying on the gullible.) Skeptical scientists certainly are convinced that Astrology is a waste of time and effort, for they know of no possible way the position of the heavenly bodies could affect the character and fate of a person on earth. IMO, the question is not quite decided. I assume the validity of Astrology is greatly overblown, but is it zero? A little more than wish fulfillment would appear to be necessary to keep Astrology alive and apparently well for these thousands of years. I look at the clock on the wall above my desk and see that there is a correspondence between the position of the hands and the position of the sun in the sky. Every evening, when the hour hand reaches six, night falls. The hour hand does not affect the sun, yet the correspondence does exist. Does some similar correspondence exist that could give Astrology a modicum of validity without the need for the heavenly bodies to exert an effect on a person on earth? Almost but not absolutely certain- ly, it does not. Well, I've been reading 'Skeptical Inquirer', a magazine that always makes me pause to ponder, and I find myself once again drifting from the fractal topic. Today's image rates a 6, the most common rating of the FOTD's. Its render time is just under 9 minutes on my machine. This time is a bit slow, and may be cut by more than half by downloading the completed GIF image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The snow ended by noon on Saturday, followed in the afternoon by some sun, but the damage had already been done. Even though the temperature rose to just above freezing, the ground was covered by deep snow, which confined the fractal cats to the freshly- swept porch. Deprived of their outing, the cats fell into sullen moods, which were lightened only when the tuna appeared. Today looks to be just as cold, and the snow is still out there. I suppose the cats will need more tuna. I plan on doing as little as possible for the rest of the day. Check back in 24 hours to see if I succeed. Until then, take care, and be happy in your leisure. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ ScorpioTheScorpion { ; time=0:08:52.45--SF5 on a p200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor passes=1 center-mag=-0.37960693446691730/-2.000764325613529\ 00/332.6669/1/-40/-1.32272665043231541e-012 params=1.096/0/96/1000 float=y maxiter=10000 inside=255 logmap=93 periodicity=10 colors=000DKNEJLFHJGGHHEFIDDJBCKAAL88M76N54O31P43Q\ 54R65S77T88U89V9AWACXBDYCEZCF_DH`EIaFJbGLcHMbHNaIO\ `JQ_KRZLSYLTXMVWNWVOXUPZTQ_SQ`SRaSScSTdSUeTTeSUfSU\ gRVhRViQWjQWkPWlPXmOXnOYoNYpNZqMZrKbqL`rMZrMYsNWsO\ UtOTtPRuQPuQOvRMvSKwSJwTHxTGxb`ymvzltylrxlqwlowlnv\ llulktlitlgslfrldqlcqlapl`olZnlXnlWmkUlkTkkRkkQjkO\ ikMhkLhkJgkIfkGekFekDdkBckAbk8bk7ak5`l3Zk4_k4`j4aj\ 4bi4ci5dh5eh5fg5gg5hf6if6jf6ke6le6md7nd7oc7pc7qb7r\ b8sa8ta8u`8v`8w`8wb8tc8qd8oe8lf8jg8gh8ei8bj8`k8Yl8\ Wn8To8Qp8Oq8Lr8Js8Gt8Eu8Bv89w86yA2xC3xE4xG4xI5xK5x\ M6xO6xQ7xS8xU8xV9xW9xXAxYAxZBx_Cx_Cx`Dx`DxaExaExbF\ xbFxcGxcHxdHxdIxeIxeJxfJxfKxgLxgLyhMyhMyiNyiNyjOyj\ PykPykQylQylRymRymSznRynSxoSwoSzpTzpTzqTzqUzrUzrUz\ sVzsVztVztWzuWzuWzvWzvXzwXzwXzxYzx_zyazyczzezzgzzi\ zzkzzmzzozzqzzszzuzzwzzyzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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 16-12-03 (Ethereal Iteration [8])
by Jim Muth 16 Dec '03

16 Dec '03

FOTD -- December 16, 2003 (Rating 8) Fractal visionaries and enthusiasts: The celestial appearance of today's image inspired the name "Ethereal Iteration". It is one of my better recent images, the first to rate an 8 in several weeks. Most of the heaven-like appearance is due to the coloring, which I found totally by chance. While I sat watching the colors cycle, today's palette flashed by. I quickly stopped the cycling and backtracked a few steps. Only a minor bit of touching up was needed before today's image was finished and ready to be crowned FOTD for December 16. The parent fractal is a curiously distorted Mandeloid, most of which lies beyond the top border of the default screen. North of the Mandeloid lies a rounded area of chaotic broken filaments and bits of spirals, almost serving as a shadow to the Mandel- oid. Today's scene, which mirrors the nature of the filaments very well, lies in one of these filaments. The midget itself was one that I found by instinct. There is no two-way symmetry at the surface of the parent fractal to indi- cate that the midget is there. How I find midgets such as the one in today's image is as big a mystery to me as to anyone else. Often I come upon them without even trying, while idly noodling around in some newly-created fractal. But that's how it is in the mysterious land of fractals. The rating of an 8 might be a bit liberal, but after so many 6's and 7's recently, I deserve it. The render time of 3 minutes is within the realm of reason, and can be cut in half by download- ing the finished GIF image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Monday was too cold and windy here at Fractal Central for the fractal cats to have a good day, but they took their disappoint- ment stoically. In the evening their reward was a dish of flaked tuna. Today is starting cold and calm, but due to turn warmer. It should be a better day for the duo. For me, it will be an acceptable day once the work is finished and the next fractal has revealed itself. But that time is yet several hours off, so it's time to get started. Until 24 hours have passed, take care, and what does it all mean? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Ethereal_Iteration { ; time=0:03:41.68--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.08297230542334892/+5.277060130765460\ 00/174630.3/1/80/2.21423986923596772e-008 params=0.95/1.1/-1.05/-1.1/0/0 float=y maxiter=800 inside=0 logmap=75 symmetry=none periodicity=10 colors=000JAWKAYLA_MAaNAcOAePBgQCiRFkSImTKoUNqVPsW\ SuXUwYXwYZwYawZcwZfw_hw_kw_mwWjvSgvOevKbvH_vDYv9Vv\ 5Sv2Qv6Qr9QoCQkFQhIQeMQaQQZUQVYQSaQPeQLiQImQFiODeM\ CaKBYIAUG9QE8MC7KA6K85K64K43K32K6DK8NDBX9Df4Gp0Iz6\ KwBLtGNrLOoRQlWRj`TgeUeeQeeNfdJgdGhdCid9jd6je9heCf\ edAbXBZPCWHDS9EP1EO3DN5CM7BL9AKB9JD8IF7HH6GJ5FL4FN\ 4KR5OU5TX5X_5ac6ef6ji6nl6mi7mg7me7lc7la7l_7kY7kW7k\ U7hV8fV8dW8bW8`X8YX8WY8UY8SY9QZ9NZ9L_9J_9H`9F`9D`9\ BILFMKJQKMUKQYKUaJXeJ`iJcmJalK`lLZkLYkMWkNVjNTjOSi\ PQiPPiQNhRMhRKgSJgTIgTHhVHiWHjXHkYHlZHm_Hn`HoaGpbG\ qcGrdGseGtfGugGvhGwiFufEtcDsaCqZBpXAoU9nR9lP8kM7jK\ 6iH5gE4fC3e93d7GZITTSeNbqHllLjgPhbSfYWdUZc68c7Ha7Q\ _8ZY8gW8pUAlXBlZDm`EnbGodIpfKqhMr_OsSQtRSuRUvRWwRY\ xQ_yQazQczQezPgzPizPkzPmzOozOqzOszOuzNwzMxzLyzKzzJ\ zzIzz2zz2zz2zz7zzCzzGzzLzzPzzUzzYzzbzzfzzkzzozztzz\ xzzrzzlzzgzzazzWzzRzzLzzG } 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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Re: [Fractint] FOTD 15-12-03 (Splotchy the Midget [4])
by Jim Muth 15 Dec '03

15 Dec '03

At 11:53 AM 12/15/03 -0600, you wrote: >Jim Muth wrote: >> >> The render time of 10 minutes has been made a >> bit more interesting by using the 'inside=b' >> option.... > >I am sure everyone knows you really meant the "passes=b" option. I assume so, but then one never can be sure . . . Jim M.

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FOTD 15-12-03 (Splotchy the Midget [4])
by Jim Muth 15 Dec '03

15 Dec '03

FOTD -- December 15, 2003 (Rating 4) Fractal visionaries and enthusiasts: Today's mediocre image consists entirely of 'bof61' inside fill. But it is not a scene in an 'evaporated' fractal; it is a glimpse of something that might have existed, but never did. It is a scene in the blank screen that results when 1.1 parts of 1/Z are subtracted from 1.1 parts of Z^(0.8) and C is added. When one is exploring the world of fractals, blank screens usually mean a dead end, but like so many other things in life, there are exceptions. Today's image is one of these. The image consists of a string of splotches, vaguely defining a midget at the center. This midget is not a real midget. It is a virtual midget that almost but not quite exists, and needs just a little extra energy in the form of the 'bof61' inside fill to make it fully manifest. The result is not all that might be desired, rating only a 4. The render time of 10 minutes has been made a bit more interest- ing by using the 'inside=b' option, which is quite a bit of fun to see in action. As always, those who feel more serious about their fractals can escape the fun by downloading the completed image from Paul's FOTD web 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> That long-promised philosophy appears in the version of today's FOTD that has been posted on the philofractal list. Snow and cold rain on Sunday kept the fractal cats indoors. The conditions were so unpleasant however that they were happy to sleep by their radiators for most of the day. In the evening I gave them their small treat of tuna, and they ended the day peacefully. Today is starting cloudy and breezy, with some slushy snow on the ground. But it is not too cold. It remains to be seen how the duo will take such conditions. I usually take conditions as they come. The work is moderate, the weather is moderate, the next FOTD will appear in 24 hours. Until then, take care, and don't despair. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Splotchy_theMidget { ; time=0:10:35.92--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=b center-mag=+0.58105390826287010/-0.018056876277498\ 32/9829.255/1/-10/-2.82683806918093694e-011 params=1.1/0.8/-1.1/-1/0/0 float=y maxiter=1200 inside=bof61 logmap=yes periodicity=10 colors=000JKBtqjtqltqntqptqrtqttqvuquvjtvbtMqKOqIP\ qGQqFSqDTqBUqAWq8Xq6Yq5`q4co4em4hk3jj3mh3of2rd2tc2\ qd5oe8lfBjgzhhHeiKcjN`kQZlTXmWUnZSoaQpdOqcNqcLqcKq\ cIqbHqbFqbEqbDq`CoZClXBiVBfTAcSA`Q9YO9VM8SK8QJUqlV\ qkVqkWqkWnkXkjXhjYfjYcjZ`jZYi_Vi_Si`Pi`NibOddP`ePX\ gQTiRPjRKlSGnTCoT8qU4rU0sT5sSAsREsQJtPNtPStOXtN`uM\ euLiuKnuKrtPqsUpsZzrcsrgo`XZJNI1D24B969F87MA5SC4YF\ 7YI9YKCYNEYPHYSJYVMYXOY_RYaTYdWYgYYi`YlbYndYhc`bcb\ XcdScgMciGckBcmLboUaqc`sl_uuZvUkoTkpRlqPlqOlrMmsKm\ tJmtHnuFnvEnvFltFkrFjpFioIPBFhmFgkFfjFehFdfFceFbcF\ aaF``F_ZGZXGYWGXUGWSGVRURPUTNGSMGRKGQIGPHGOFGNDFPA\ GOBGOBGOBGOBGOBGOBGOBGNBGNBGNBGNBGNCGNCGNCGNCGMChK\ ChMXhMChMChcChMCtc0s71r81q82sU2oA3mA3lB4kB4jC5iD5v\ D6gE6fE6eF7dG7cG8cH8cI9cI9cJAcJAcKBcLBcLCcMCc50b61\ a71`72_82_82Z93Y93XA4XA4WB4VC5UC5TD6TD6SE6RE7QF7QF\ 7PG8OG8NH9MI9MI9LJAKJAJKB } 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 14-12-03 (Forever Fractal [7])
by JimMuth＠aol.com 14 Dec '03

14 Dec '03

FOTD -- December 14, 2003 (Rating 7) Fractal visionaries and enthusiasts: Today's fractal scene lies in the not-quite-imaginary land that is created when 1.3 parts of Z^(0.92) are subtracted from 1.3 parts of Z^(-1.08) and (1/C) is added instead of straight C. This parent fractal appears to the sense of sight as a twisted, stretched, pinched-off Mandeloid with a large bud on the north- west shore of the main bay. This large bud might or might not be the period-2 bud. I did not check. The shoreline of this large bud is crowded by unusually plenti- ful and unusually small sub-buds, each bud with a band of chaos stretching out and terminating in a flat disk. Today's scene is located near the terminal point of one of these bands of chaos on the west shore of the large bud. When rendered using the normal equal-iteration method, today's image is pretty boring, but the 'tdis' option (I should use this option more often) really brings it to life, giving the whole thing a kind of art-nouveau appearance, reminiscent of the turn of the 20th century. And curiously enough, the scene maintains its attractiveness when zoomed both into and out of. This trend could continue forever, which is why I named the image "Forever Fractal". When rating time arrived, I decided on a 7. It's an above- average scene, at least by my standards. And the render time of just over 5 minutes on my tired old machine is bearably short, at least for a Sunday, when many have nothing to do but watch the TV. Those who would rather not miss 5 minutes of that game may down- load the completed GIF image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The promised philosophy is already written, and will appear in tomorrow's philofractal version of the FOTD. Friday and Saturday were chilly here at Fractal Central, with temperatures both days just above freezing. But there was just enough sun to make outdoor life bearable for the fractal duo, who spent just enough time outdoors to prevent cat boredom. However, today started with heavy snow, which is just now changing to rain. I fear the worst moods might be in store for Thomas and Tippy. For me, the worst has been avoided. By working all day Saturday, I avoided the work back-up that was threatening. But there is still a bit of work to be cleared away before Monday, so until next time, take care, and be skeptical of things that are not true, while being wise enough to know the difference and tolerant enough to know that you could be mistaken. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Forever_Fractals { ; time=0:05:11.35--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.17434825437380250/-0.158570929431714\ 50/1.873532e+009/1/-52.5/0.000439570302683295333 params=-1.3/0.92/1.3/-1.08/0/0 float=y maxiter=1200 inside=0 outside=tdis periodicity=10 colors=000zzUzOOzLQzJQzHTzETyCUyAUy9Uw5Ww4Wu2Yu0Ys\ 0Zs0Zs0Zq0`q0`o0bo0bm0dm0dm0dl0`l0Zj0Yj0Wj0Uh0Th0O\ h0Mf0Lf0Jd0Hd0Gd0Cb0Ab09b07`05`04f00`02W07T0CM0HJ0\ ME0TA0Y50`20f00l00q00w00z02z04z05z07z09z0Az0Cz0Ey0\ Gu0Hs4Jq7LoAMmCOlz`jzhfzcdOWbTY`WZZZ`Y``WpWAqXErYH\ sZJt_Mu`OvaTwbWxcYyd`zebzffzgjzhlziozjqzkuzlyzmzzo\ zzozzqzzrzzqzzqzzqzwqzsqzmozhozdozZozTszWozYlzZjz`\ fzbdwd`sfZohWllUhmQdoO`qMYsOTuQOwSLyUHzWEzYAz_7za4\ zc0ze0zg0zi0zk0zm0m00Z00L00700000000000200500702A0\ 7C0AG0GH0JL4OM5VQ9_TMcWPfYRj_SoaUscWudZwcaxady_gzY\ jzWmzUpzSrzQtzOuzMtzKszIqzGozEmzCkz0iz0gz0ez0cz0az\ 0_z0Yz0Wz0Uq0Sj0Q`0OT0MJ0KC0IA0GA0G90G90H70H70H50H\ 50J40J40J20J20L20L00L00L00M00M00M00M00O00O00Q00S00\ U00W00Y00_20a40c50e70g92iC4jE5lG7nH9pJArLCtMEvOGxb\ HzqJzzLzzj0zlQ4jT9jTCjTGjUJjUMjUTjWWjWZjWbjWfhYhfY\ hfZhdZhdZhb`h``h`bhZbjZbj } 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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No FOTD for Dec. 13
by Jim Muth 13 Dec '03

13 Dec '03

Fractal fans: Due to an unexpected heavy work load, there will be no FOTD for December 13. The FOTD for December 14 will appear on schedule. Jim M.

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FOTD 12-12-03 (Spoor of the Beast [7])
by Jim Muth 12 Dec '03

12 Dec '03

FOTD -- December 12, 2003 (Rating 7) Fractal visionaries and enthusiasts: When I started the FOTD on the Fractal-Art list in April of 1997, I intended to post a few fractals and discuss whether fractals really are art. I had no idea the FOTD would become such a major part of my life. But that's the way things go sometimes. Here we are, 6-1/2 years later, still as enthusias- tic about the FOTD as we were the first day. Today's image was created with the MandelbrotMix3a formula. It is a scene in an evaporated fractal that results when various portions of Z^(-1.3), Z^(-2.5), Z^(-4.6), and Z^(-6.4) are combined, then (1/C) is added. (Fractals with negative expo- nents 'evaporate' when the escape radius is raised to 10^100.) The M-Mix3a formula does not automatically calculate a critical point. This task must be done by hand, which is not easy, and makes the formula quite burdensome to use. But when a critical point is finally found, the results can be worth the effort. Whether today's image was worth the effort is up to the individ- ual viewer to decide. My decision was that the image earns a rating of a 7. Finding a name for the image was kind of fun. While studying the scene, I fancied myself looking down on a jungle from above. There below me was the scene of a kill, and leading to the scene were the tracks of various scavengers. I named the image "Spoor of the Beast", though no beast appears in the picture. The render time of under 4 minutes is fast enough, but a minute or two can still be saved by downloading the completed image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> I must now take a moment to apologize to those who are disappoin- ted that the promised philosophical pontificating did not appear today. I have been too busy to ponder. But the philosophy will appear as promised in a day or two. After all, anything worth having is worth waiting for. Thursday was pleasant enough temperature-wise here at Fractal Central, with a high of 50F 10C and much sun, but the wind gusted to 50mph 80kph all afternoon, and the noise it made in the trees and bushes spooked the fractal cats, who dared not venture beyond the porch steps. In the evening, we comforted them with the customary treat of tuna. and they settled to sleep satisfied. Today is starting rather agreeable. We'll see how the rest of the day goes. And I've got that load of work to finish before it starts to pile up. I have already rambled on longer than I had intended. Until the next FOTD in 24 hours, take care, and beware of the wild fractal beasts that are lurking in the vicinity. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Spoor_of_the_Beast { ; time=0:03:49.21--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix3a function=recip passes=1 center-mag=-9.081882577005382/-6.444497511562424/1\ 94430.2/1/-32.4999999962004082/1.5461261916594e-008 params=1/-1.3/0.8/-2.5/-0.5/-4.6/-0.3/-6.4/1.07557\ 97065275/1e+100 float=y maxiter=1200 inside=bof61 periodicity=10 colors=000P3sM8nJDiGHdDM_AQV7VQ5ZL_\ rr`traurbqpbnncjlcgjcdhd`fdYddVbeR`eOZeLYdMWcMVbNU\ aNS`OR_OQZPOZPNYPMA0KAAJAFIAKGANFAPEOTDIVJDYP8aVUg\ acmgzzzzztzzphlmfgidbfbXc`S_ZNXYIUWKTUMRSPPQRNUULM\ WKKYII_HGbFEdDCfCAhA8j9BbHEVPHOXKGdN8lP1tQ7rRCqSHp\ TNoUSnVXmValY`h_`da_`c_Xe_UfaWfcXfeZff_ghagjbgkdgm\ ehofhphhrihtkiuliwniyoizpRghOciL_jIWkFSlCOm9Kn6Go3\ Dp6Gq8JqBMqDPrFSrIUrKXrM_sPbsResTgsVhqWioXjmZkk_lj\ `mhbnfcoddpcfqagr_hsYisXgqYepZdo_bm`ala_kbZicXhdWg\ eZba`ZYbUUdQRfPShPSjOSlOTnNTpNTrMUtMUvLUwLUoQ`gVf_\ _mSdsRboRakR_hQZdQYaQWYPVUPTRPSNPRKMURJXYG_dEbkHdg\ KedNf`QgYTiVWjRZkOalLdiPfgSheWkbZm`boZerWitUlvSorQ\ poOqlMriLseJsbHt_GuXEvTCvQBwN9xK7yH6yI8wI9uJAtJBrK\ CqKDoKFmLGlLHjMIiMJgMKfLJgLIgKHgKHhKGhJFhJFiIEiIDi\ IDjHCjHBjHBjLFgPJdTNaXR_`VXdZUhbRkfPjhQijRikShmTgn\ UgpVfqWfsXetYdvZdw_cy`cz`XsbQlcKedDZe7Sf } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END 20.0 PAR-FORMULA FILE==================================

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