September 2007 - Fractint - mailman.xmission.com

FOTD 09-09-07 (The Layered Look [9])
by Jim Muth 09 Sep '07

09 Sep '07

FOTD -- September 09, 2007 (Rating 9) Fractal visionaries and enthusiasts: Yesterday's sorrowful image left me unsatisfied, so I atoned for it by finding today's image, which I feel kind of makes up for the failure of yesterday's image. I generally do not care for those trendy fractals that come in layers, such as those created by the fans of fractal-generating programs X and XX. Such images remind me too much of a photogra- phic double exposure. But today's FOTD most definitely has two layers. The difference is that the layers of today's FOTD are an actual part of a single fractal, and are created in a single pass, not piled on individually by a creative fractal artist. The generating formula and parent fractal are the same ones that brought about the past several days' images. Today's scene lies on a minor side-shoot of the immense ring that makes up most of the parent. I named the image "The Layered Look" because of the effect of two separate layers, which in a way actually exist. I rated it at a 9 because I think it's worth it. And if I had had more time to work on the colors, I might have been able to rate it at least a 9.5. The layers were achieved by partially evaporating the 'outside' part of the image by raising the bailout radius to 1,950,000,000 and coloring the newly revealed 'inside' parts with the 'zmag' option, which is responsible for the straight diagonal bands. The calculation time of 2-1/2 minutes on the fireball P4-2000mhz unit would be increased to near 15 minutes on the slower P200mhz machine. But the trip to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the completed image may be viewed instantly, can be done in under a minute, if all goes well. Lots of heat and humidity prevailed here at Fractal Central on Saturday. The high temperature of 90F 32C felt more like the middle of July than early September. Showers threatened in the afternoon, but passed well south. The fractal cats seemed not to notice the weather, spending their time instead looking for mischief. My day was adequate. All I can hope for is that tomorrow be the same. The next FOTD will appear in 24 hours. Until then, take care, and enjoy the world. It's a big bang of a fractal show. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Layered_Look { ; time=0:02:33.46-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-13.48658364309034/-4.135779398727093/\ 8.047622e+009/1/-177.500087240412142/0.000269112669 params=-5.5/-1.4142/-1.1/-4/0/1950000000/0/0 float=y maxiter=550 inside=zmag periodicity=10 colors=00000AKA0CakCciBegBgeQ1cSAcUJcWRcY_a_hgapmv\ lzsVhf2a`9SVGIZaeavzcQihIsmBzGXtqbuQfvUewZgxciy00m\ zzzuzzuvzrszooyllxijvfhucgt`esYcqVbpSboPcnMclJckGc\ jEdiGefIfcKbcL_cMVcMQcNLcOHcQCcP7cN3cqnBrkDqhFqfHr\ dIscKtbMveAwaPzhAy`AwYPlVMPSJRVKTYLV`MXdMZfP`hUafZ\ bcccZhdUmePrfKwgFwhAwi5wj6wk9wmDwnHwoLwqPwqTwrWwrZ\ wrawsdwsgwsjwbkwMkwlTghVj00AbZp_`sXavWWtUQrTKpSFnO\ JkLNhIReFUbCY_9aX6dVzlfuigpfhkcig`jbYkYVlTSmPPnLah\ HmbJl`Kk_MjZNjYOiWQhVRgUSgT`bWhZYpV`xRbuUdsWeqZfo`\ gmbhkeiigjfikdllbnm`pnZsoXupVwqXvnYulZti`tgasdbrbc\ r`dnbdkcdgddded`fdYgdUhdRieOkeKlcnN`lOYjPVhQTgQQeR\ NcSKaTH_UFZUG_WH_XH`YI`ZI`_Ja`JaaKbbKbcLbdLceMcfMc\ gTaeZ_ceYbkW`rUZxTYeNzfPzgQzgRzhSzhTziVyiWwjXvkYuk\ Zsl`rlapmbomcmndlnekg_daUYWORQJLOKMMKNKKOJKOHLPFLQ\ ELQCLRAMS9MS7MT5MU4MU6OX7PZ9QaARcBSfDUhEVkGWmHXpIY\ ruBNlFUcJ`VNfMRmDUsCWcCYo } frm:MandAutoCritInZ {; 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 PARAMETER FILE=========================================

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FOTD 08-09-07 (Missing the Mark [3])
by Jim Muth 07 Sep '07

07 Sep '07

FOTD -- September 08, 2007 (Rating 3) Fractal visionaries and enthusiasts: Today's image is a big disappointment. When I found it, I had great hopes for a third stellar image. What I ended up with was a boring image the likes of which has been seen countless times before. Somewhere along the line I missed the mark, which is what I named the image. The parent fractal is the same one that supplied the very fine images of the past two days. I once again found the FOTD in the semi-chaos near the northern end of the chain of large bays, but today's image bears no relation to the previous two days' images. In an effort to bring some life to a fractal corpse, I rendered the image whth the outside set to 'real', not that it made much of an improvement. Before deciding on 'real', I tried the other 'outside' options as well as the 'evaporated' inside options. But these were not even up to the outside=real version I used. I was generous when I rated the image at a lowly 3, and consider- ing its calculation time of 9 minutes on the fast machine and just under an hour on the slow unit, the image cannot be seen as any kind of a bargain. But hey, it's still a fractal, and fractals are what it's all about. And best of all, the finished image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it may be viewed at leisure and without effort. With a temperature of 90F 32C, haze and high humidity, and other annoyances, Friday was far from perfect here at Fractal Central. The cats slept through most of it, while I was annoyed by an irate customer who sent an e-mail claiming I had sent a job in the wrong format. I replied that the format I sent is what the supervisor at the customer's print shop said he needed. An hour later I got an e-mail telling me to ignore the first e-mail. We had none of these irritating formatting problems years ago when I worked with a knife and cement on a light table, a job which actually took a bit of skill. Maybe it's getting close to the time to hang 'em up and concentrate on finding fractals while the rest of mankind reduces itself to a universal plasma of mediocrity for the sake of a bit more convenience. The next FOTD will be ready in 24 hours, glorious or not. Until then, take care, and when you have taken total care, go out and have some fun. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Missing_the_Mark { ; time=0:09:04.53-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-0.57722364191193430/-0.692880201307236\ 80/4726027/1/-30.5/2.6479593885631e-008 logmap=-830 params=-5.5/-1.4142/-1.1/-4/0/0/0/0 float=y maxiter=7500 inside=0 outside=real periodicity=10 colors=000UIUUIUUIUUIUUIUUIUUIUUIUUIUUJUUIVUIXUHYU\ GZTG`RFaOEcMDdKDfHCgFBiDBjAAl89m69n7Cm8Fm9IlALlBOk\ CRkCTjDWjEZiFaiGdhHghHihO__UQS`GJf6BjKDmXFqjHtwInp\ Dij8dd3caAbZHaWOaUUkOOuIJoOPjUVdZ`_dfUilPorKtxJstJ\ sqIsnIrjHrgHrdGr`GqYFqVFqREpOEpLDpHDpECoBCo7Bo4Bo1\ Dm4Fk6Hj9JhBLgENeGPdJRbLTaOV_QXZTZXV`WYbU_dTbfRdhQ\ gjOikNkkQhkSekUbkW_kYYk`VkbSkdPkfMkhKicNh_QfWTeRVd\ NYbJ`aEb_AeZ6hY2jKMo6et9bqB_oEYmGVkJSiLQgONeQKcTIa\ VF_YCY_AWcBRgBNjCInEEqG9uI5xK1wM4wO7wQAvSDvUGvWJuY\ Mu_PuaSucVneThgSbiQXjPRkNLlMFmK9mJ3mI6mJ8mKBmLDmMG\ mNImOLmPNmQQmRSnSVoTXpU_qVarWdsXftYiuZkv_nw`pxarya\ mzehzhczk_zn`zk`zgazdbzaczZczVdzSezPfzMfzJhzPizVkz\ `lzfnzlozrpzxpzupzrpzopzmpzjpzgpzepzbpz_pzXpzVpzSp\ zPpzNlzOizOfzOczO`zOYzOVzOXzNZzN`zNbzNdzNfzNhzNjzN\ lzNnzNpzNrzNtzNvzNwzN`z`FznGzmHzlHzkIzjJziJzhKzgKz\ fLzeMzdMzcNzbNzbvzFwzFxzG } frm:MandAutoCritInZ {; 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 PARAMETER FILE=========================================

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Re: New Formulas
by jackoftradez＠comcast.net 07 Sep '07

07 Sep '07

. A new Russ Walsmith formula, a 3D thing. I'm not sure if he posted them here or not. Loox like a 3D Mandel(something) spinning around in a swirling 3D matrix, like a subatomic particle in quark-soup (runaway imagination -EZ2 do that with fractals). In color, not grayscale. MPEG, 640x480, 60 seconds, 48 Meg: http://www.fractal-animation.net/vid/quark640.zip WMV, 320x240, 60 seconds, 5 Meg: http://www.fractal-animation.net/vid/quark320.zip Since the rotation is a full 360*, the start and end image the same. This viddie could be looped forever projected on a wall for example. .

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FOTD 07-09-07 (A New Direction [9])
by Jim Muth 07 Sep '07

07 Sep '07

FOTD -- September 07, 2007 (Rating 9) Fractal visionaries and enthusiasts: With its texture that reminds me of something I cannot quite pin down, and its lively colors, today's image is unusual enough, at least in my opinion, to rate a 9. It is found at the northern extremity of the string of large bays in the same parent fractal that gave us yesterday's image. I named the image "A New Direction" because its unique texture is something I have never before seen in a fractal. Actually, nothing should be surprising when it unexpectedly appears in a fractal, since the universe is basically fractal in nature. Then again, fractals are basically a creation of the way the human mind organizes the abstractions known as complex numbers, and as such they occupy a strange shadowy realm between real and imaginary. If one prefers fractals to be real, he can make a print of one and show a picture of it to the world. If one prefers fractals to be imaginary, he can defy someone to prove they are real by handing him the real Mandelbrot set on a platter. To me, fractals are the patterns, ideas if you will, behind the material stuff the universe is made of, and the material itself is as real as the probability waves (fractals?) that make up the atoms. Since the universe can be no more real than the stuff it is made of, mankind is reduced (or raised) to a minibrot in an infinite fractal. I'll not broach the question of whether a fractal can be self-conscious. But self-conscious or not, today's fractal image calculates in a little over 2 minutes on the fast machine and around 12 minutes on the slow unit. As always, the most convenient way to see the image is to go to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view it there in person. Higher humidity and more haze made Thursday's 86F 30C too muggy for comfort here at Fractal Central. But while the outdoor life was a bit oppressive, the fractal cats made the most of the life indoors by stalking some imaginary creature in the kitchen for most of the afternoon. Of course, maybe the creature was not imaginary to them! Except for the day's fractal, which was well above average, the day turned out about average for me. The next FOTD will appear in 24 hours. Until next time, take care, and the world can be considered as real as we want it to be. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_New_Direction { ; time=0:02:10.66-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.373253567881444/-0.0353980831225605/\ 4.556682e+010/1/-55.007934721352008/0.1099798828578 params=-5.5/-1.4142/-1.1/-4/0/0/0/0 float=y maxiter=1650 inside=0 logmap=233 periodicity=10 colors=0000QZ0BW0WT0ZQ0UNE00HO0J00NM6QQHTQQWpZsisb\ IRb0HUM2L00RTNWpsZBTCLgn0s0NisVkEOlJZnEKozzz00szvz\ zzzuuyzzztsvsstpqofhljmiUZgQWdLVqHVaCWl8WY3WW0WU0Y\ TsQP2_JjMF8QB`I6CB2F30I00L00P00Q00l_0oZ0zZ0zY0zh0z\ W0zc0zT0wT0sR1sR2lN0UI0CE0FI0IN0LQ0PV0RY0Ua0Wd0ZY0\ `R0dE0g60i00l00n00o00z00z00z00z00z50z90zF0sK0sO0sT\ 0sY0sa0sf0YhL8hnlFQfIUaMZYObTRgjTzNKiJBfI2bH0`B0W6\ 6R2CN0GI0NE0T90Y6siPsdQs_RkWTdRUYNWQIYIEZC9`6TR1kI\ 3iF5hE8fC9fBBd8Ec6Fa5Ha3UV8fOBsIFsCIsGLsKNsOPqRQnV\ RkZTgaUbdW`iYYlZUp`RpaPpbLpdPp`QpYRpTUpQWpLYpIZpF`\ lI`hJ`aL`YN`RP`NQ`GR`CTa8Wa2YZl0Ui0Qf0Lc0Ia0EZ19W2\ 5T31Q50O50Q81Q91RB2RC2RE3TF3TH5VI5WJ6YL6_N8aP8cQIe\ NRgJaiIkkFsmCsoBaqsbssdusdwsfxsfysgzqgznizlkzkkzgl\ zflzbnzanzZozYrzWyzLzzBzz1zz0zz0zz0zz0zz0zz0zz0zz0\ zz1zz2zz2zz3zz5zz5zz9zzCzzHzzJzzPzzRzzWzzZzzbzzfzz\ 0zz5zzFzzPzzZzzgzzdzzazzZ } frm:MandAutoCritInZ {; 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 PARAMETER FILE=========================================

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FOTD 06-09-07 (Too Much Too Soon [8.5])
by Jim Muth 06 Sep '07

06 Sep '07

FOTD -- September 06, 2007 (Rating 8.5) Fractal visionaries and enthusiasts: Today's evaporated image probably sets a new record for FOTD gaudiness. It lies in the parent fractal that results when 5.5 negative parts of Z^(-1.4142) are combined with 1.1 negative parts of Z^(-4) and (1/C) is added. This parent fractal is almost beyond belief. It is a bloated Mandeloid with several large bays and a smoothly curved main spike that terminates at the center of a ring that is larger than the Mandeloid it springs from. Today's image is found on a side-shoot of the main spike near the point where it ends at the center of the large ring. I named the image "Too Much Too Soon" when I couldn't decide what to make of it. The colors are basically accidental, though I did tweak a few registers to fine tune the palette. The rating of an 8.5 could easily have been a 9 if the colors had been a bit more organized. The calculation time of 75 seconds will offend no one. Even on an 11-year-old P200mhz unit, the calculation will finish in about 7 minutes. But on some over-qualified S.O.T.A. machines calculation can become problematical. In this case, the easiest way to view the image is to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the image is or soon will be posted, and enjoy it there. Wednesday here at Fractal Central was a bit too warm and brought a few too many clouds for absolute perfection, but with a temperature of 84F 29C and low humidity, it was close enough. The fractal cats were occupied watching a squirrel gathering material for its winter nest, and paid no attention to the weather. My day was kept busy designing a logo to print on a tote bag of a health-care organization. Oh well, I guess it's a living. The next FOTD image will appear in all its glory in 24 hours. Until then, take care, and go ahead and do it. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Too_Much_Too_Soon { ; time=0:01:15.52-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-14.19486797243935/+3.358196340354399/\ 5.573916e+010/1/97.6365368770451738/-0.015089388127 params=-5.5/-1.4142/-1.1/-4/0/1e+100/0/0 float=y maxiter=550 inside=bof61 logmap=82 periodicity=10 colors=000000C_cCaaCc_BeYBgWQ12SA9UJFWRLY_S_hYapcv\ lpsVZf2S`9IVG8ZaWavrcQ_hIimBsGXjqbkQflUemZgncio00r\ lzzqtzuqzrpponollnijlfhkcgj`eiYcgVbfSbePcdMcbJcaGc\ `Ed_GeXIfUKbRM_OOVLPQIRLFTHCVC9X76Y34lf1ne3od5pd7r\ c8scAtbCvaDwaFx`Hy`IlYF`VCPS9RVATYBV_CXbCZdD`gEaiE\ cdCd`AgS7iN6jJ4lE3mA1n60oA1oD2pG3pJ4pM5qP6qT6rW7rZ\ 8ra9sdAsgBsjBbkVMkmlTYhV`eXcbZf_`iXalWWjUQhTKfSFdO\ JaLNZIRWFUTCYQ9aN6dLzlXuiYpfZkc_g``bYaYVbTScPPdLaZ\ HmTJlRKkQMjPNjOOiMQhLRgKSgJ`bMhZOpVRxRTuUVsWWqZXo`\ YmbZke_ig`fiadlbbnc`pdZseXufVwgXvdYubZt_`tYasVbrTc\ rRdnTdkUdgVddWd`XdYYdUZdR_eOaeKbcnD`lEYjFVhGTgGQeH\ NcIKaJH_KFZKG_MH_NH`OI`PI`QJaRJaSKbTKbULbVLcWMcXMc\ YTaWZ_UeYTkWRrUPxTOeNxfPvgQugRshSrhTpiVoiWmjXlkYkk\ Zil`hlafmbemccndbneag_VaUOWOHQJBOKCMKDKKEJKEHLFFLG\ ELGCLHAMI9MI7MJ5MK4MK6ON7PP9QSARUBSXDUZEVaGWcHXfIY\ huBDlFKcJRVNXMRcDUiCWgCYe } frm:MandAutoCritInZ {; 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 PARAMETER FILE=========================================

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FOTD 05-09-07 (Replacement Fractal [No Rating])
by Jim Muth 05 Sep '07

05 Sep '07

FOTD -- September 05, 2007 (No Rating) Fractal visionaries and enthusiasts: The formula behind today's image subtracts 1/2 part of Z^2 from 1/2 part of Z^(-2) and adds straight C. This formula creates a parent fractal that consists of a scattering of mis-shapen Mandeloids. Today's scene is located in a valley leading to a minor bud of the largest and most mis-shapen Mandeloid. I named the image "Replacement Fractal" when I finally gave up on the fractal that was intended to be today's FOTD and pulled up today's image, which I had been saving for just such an occasion. If I had named today's image, I might have named it something like "Four Golden Orbs". Rating today's image was out of the question. To begin, it is not really the FOTD for Sep 5; it is a ringer that slipped in when the real image failed to perform as planned. So how could I give it a rating? But with its blue background, brilliant green-yellow orbs, and subtle interior purple, it is not that bad an image, and well worth a look. That look will require a wait of over 1-1/2 minutes while the included parameter file runs to completion. Or things can be made faster and more straightforward by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the scene there. The endless string of perfect days here at Fractal Central is getting to be boring. Totally bored, the fractal cats slept for a good part of Tuesday afternoon. My day was kept busy with enough commercial work to prevent boredom however. The next FOTD will appear in 24 hours. Until then, take care, and don't become entangled in the fractal uncertainty principle. It leads only to paradoxes. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= ReplacementFractal { ; time=0:01:42.80-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident center-mag=+1.101020760806052/-2.11631173658624/\ 329305/1/135/-1.310869424745e-007 params=0.5/-2/-0.5/2/0/0/0/0 float=y maxiter=3200 inside=0 logmap=170 periodicity=10 colors=0007ES8FT9GUAHVBIWCJXDKYELZFM_GN`HOaIPbJQcK\ RdLSeMSfOTgQUhSUiUVjWVkYWl_XmaXmcYleZkgZki_jk_im`h\ oahqagsbfubfwbUxbItdHqeGmfFjgEfhDciD_jCXkBTlAQm9Nn\ 9TmDYlHckLhjPniTsiWrjUqjSpjQokPnkNmkLllJllIklGjmEi\ mChmBgn9fn7fn6dl7cj8bh9afA`dB_bBZ`CYZDXXEVVFUTGTRG\ TOHTLITIJTFKTCTT9ZVA`WBZWDVWGSWIOWKJWNJWPJWRJXTJYU\ JZVI_XI`YIaZIb`IcaHdbHedHfeHgfHhgHifJieKjeMjdNkcOk\ cQlbRlaSmaUm`Vn`Wn_YoZZoZ`pYapXbqXdqWerVfrVhsUisUj\ rWhqXfpYdo_bn``maZlcXkdWjeUigShhQhiOgjMflKemIdnHcp\ FbqDarB`t9_u7Zv5Zw4`x6ax8bxAcxCdxEfyGhyImyKryMvyOz\ zQwzSuzUszWozYpz_rpXvfUwXRwNOwDLw3Jz5Kz7Kz9KzBKzCK\ zELvGLrILmJLhLLcNLZPMURMPSMRUMSWMUYNWZNX`NZbN`dNae\ N_gLYhKWiJUjISlHQmFOnENoDLqCMrBOs9Qt8Sv7Uw6Wx5Yy4_\ z6az7cz9ezAgzBjzDmzEpzFszHvzIzzJzzLzzMzzNzz`zznzzl\ zzkzzjzzizzhzzfzzezzdzzczzbzz`zz_zzZzzYzzXzzVzzUzz\ TzzRzzQzzPzzQzzTzzWzz_zzb } frm:MandAutoCritInZ {; 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 PARAMETER FILE=========================================

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FOTD 04-09-07 (Scepter Rattling [7])
by Jim Muth 03 Sep '07

03 Sep '07

FOTD -- September 04, 2007 (Rating 7) Fractal visionaries and enthusiasts: Today's fractal image is a stellar scene on the eastern side of the northern branch of Scepter Valley of the Mandelbrot set. I named it "Scepter Rattling" in memory of the old cold-war days, and rated it at a 7 to reward myself for the extra time I spent working on the moody but lively blue coloring. Almost the entire effect of the image is due to the color palette. Trying a new palette will quickly demonstrate this. I would have liked to give the image a higher rating, but it is hard to find a reason to give such a scene in the overworked Mandelbrot set a rating higher than a 7. The calculation time of the included parameter file is a zippy 33 seconds, which will keep the time and effort to a minimum. Running a parameter file and watching the image appear almost by magic is fun, though not the most convenient way to see the image. The most convenient way is to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the finished image there. I put the mathtolerance=0.05/1 entry into the parameter file as a safety precaution. Without this entry the program could flip over into arbitrary precision math, especially at the higher resolutions, which would increase the calculation time by a factor of over 420, to well over 3-1/2 hours, with no noticeable increase in quality. Absolutely perfect weather again prevailed here at Fractal Central on Monday, which, as the first Monday of September, is Labor Day in the USA. Perfect weather is defined as a deep blue cloudless sky, high temperature of 85, gentle wind, and low humidity. Perfection in fractals is more difficult to define, and for fractal cats, it is nearly impossible. My day was not quite perfect, but it was good enough. The next FOTD will be posted in 24 hours. Until then, take care, and keep the fractal faith. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Scepter_Rattling { ; time=0:00:33.72-SF5 on P4-2000 reset=2004 type=mandel passes=1 inside=0 float=y center-mag=-1.24827499159888600/+0.031915703805430\ 75/8.306274e+011/1/44/0 params=0/0 maxiter=60000 logmap=-8575 periodicity=10 mathtolerance=0.05/1 colors=00000T00T00T00T00T00T00T00T00T00T00T00T40T8\ 0TC0TG0TE0VC0XA0ZA0`A0bA0dA0eA0gA0iA0oE0vH0zL0zP0z\ T0zzzzzzzzzzzzzzzzzzzzzzzzzuzzqzzmzzgzzdvz`qzXoxTm\ zPgzLdzH`zCXz8Rz4Nz0Jz0Gz0Gz0Gz0Gz0Eu0Eo0Cg0Cb48V8\ 6PzzzzzvzzsLzqzzmzzkzzg0zezzVzuJzu80z0zz0zz0zz0Hz8\ zzPezPzuNdmLziJCLH00000000000400A00G20J40P80VA0ZE0\ dG0iJ0mL0sN0vG0mAHe2dX0xP6vPEvPLvPTvP`vPz0doAsePzu\ Amz0Vz0Rz0Nz0Jz0Gz0Cz08z04z02z00z00u00k00g00e00d00\ `00X00V00R00P04L0AJ0GG0LE0PX0`m0kz0vx0zs0zo8ziGzdN\ z`XzVdzRkzTmzTmzTmzVmzVozVozVozXozXozXqzZszZuzZvzZ\ xzbzzdzxgzkizXmzJoz4qz0gz0Zz8RzGHzNAzX0zd0zk0zs0zz\ 0zz0zz0zz0zz2zz6zzCzzHzzLzzRzzXzz`zzbzzbzzbzzbzzdz\ zdzzdzzdzzZzzVzzRzzLzzHzzEzz8zz4zz0zz0zz0zz0zz0zz0\ zz0zz0zz2zz6zz8zzCzzGzzHzzLzzNzzRzzTzzXzzZzzdzzizz\ ozzuzzzzzzzzzzzzzzzzzzzzzzzzzzuzzozzizzdzzXzzRzzLz\ zGzzAzz2zz0zz0zz0zz0zz0zz } END PARAMETER FILE=========================================

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FOTD 03-09-07 (Fractal Stand-In [No Rating])
by Jim Muth 02 Sep '07

02 Sep '07

FOTD -- September 03, 2007 (No Rating) Fractal visionaries and enthusiasts: I regret having missed the FOTD for September 02, but sometimes these things are unavoidable. Because today's image was found with so little effort, I could give it no rating, but with its brief calculation time of just over 3 minutes, it is certainly worth a look. I named the image "Fractal Stand-In" because I feel it is standing in for the real FOTD image for September 03, which I was too lazy to get up and search for. There must be far better scenes to be found in the vicinity of today's image, and far better images that could be created from the same scene. The parent fractal came about when I subtracted 5 parts of Z^(1.3) from 5 parts of Z^(1.2) and added straight C. This parent resembles a Mandelbrot set rotated 180 degrees which is starting to split apart at the center of both the east and west ends. Today's scene is located in the chaos surrounding a small bud on the far shoreline of the largest bud. The image shows a minibrot surrounded by a fairly typical pattern of semi-chaos, with rather well-defined filaments zigging off into the unknown. And speaking of the unknown, only the great unknown knows why this particular minibrot is found at this particular location in this particular fractal -- a fact that is true for every part of all fractals. Though the included parameter file is a fast one, the need to do the calculation may be totally avoided by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Absolutely perfect weather conditions prevailed both Saturday and Sunday here at Fractal Central. So on Saturday, F.L. and I went out and took advantage of the situation. We spent Sunday in recovery, which meant a day of solid relaxation, and can be great fun as long as one does not make a habit of it. The fractal cats were a bit cranky at having been left alone all day Saturday, but they regained their carefree spirits as soon as the tuna treat was served. The next FOTD image will appear in 24 hours. Until then, take care, and don't give up. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Stand-In { ; time=0:03:13.61-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+3.846906537660213/+0.3379029437233428/\ 5122061/1/-112.5/1.32364045017652199e-006 params=-5/1.3/5/1.2/0/0/0/0 float=y maxiter=2400 inside=0 logmap=325 periodicity=10 colors=000TUmRUmPUmNUmLUmJUmHUmFYmEanCfpAjr8ot6sv5\ wv7uu8ttAssBrrDpqEopGnoHmnIkmKjlLjkQjjVjiXkg`kedkc\ dkafkcekdckeblf`lg_lh`mj`nkaolapnaqobrpbsqbtscutcv\ ucwwdxxdyydzzeyyfyxgywgyvhyviyuiytjyskyrlyrlyqmypn\ yonyoTvYVmWXdVYXT_OS`GRYHUVHWTIZQI`OJcLJeJKhGKjEKl\ GHbHEUJBKK8BI8DG8EE8GC8HA8I88K68L48N28O18Pj4Th8UgC\ UeFUdJUbNUaQU_UUZYUX`UWdUVgUWfSXfRXePYeOZdMZdL_cJ`\ cI`bGabFbaDbaCc`Ad`9d`8caDbbIbcNadS`eX`fa_gf_gj_ih\ _jg_ke_md_nb_oa_p__rZ_sX_tW_vU_wT_xR_yQXwUVuXTs_Rq\ cPofMmiKkmIipGgsEfvJeuOdtTdsYcrbcqgbplboj_miYkhWig\ UgfSeeQcdObcM`bKZaIX`GV_ETZCRYAQWEPUIOSMOQQNOUMMYM\ LaLJeLHiKFmJDqJBuIAyIEuMHrQKnUOkYRgaUdeY`i`YmcVpbR\ laOh`Ld_IaZFYYCUX9R_AUaAWcAYeA`hAbjCdlEgnGiqIksKnu\ MpwOryQtwSsuUssWsrYrp_rnarlcqkeqigqgipekpdmpeomeqk\ esieugfvefwbfx`fyZgzXgzVgzSgzQhzOhzMhzKhzIizKjzLjz\ MkzNZzRYzWXz`Xzd`zXczPfzH } frm:MandAutoCritInZ {; 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 PARAMETER FILE=========================================

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