December 2006 - Fractint - mailman.xmission.com

FOTD 18-12-06 (Fractal Fanfare [6])
by Jim Muth 18 Dec '06

18 Dec '06

FOTD -- December 18, 2006 (Rating 6) Fractal visionaries and enthusiasts: The parent of today's fractal was created when I subtracted Z^(1.5) from Z^(-0.5). It is shaped like an unusually distorted Mandelbrot set. Today's scene is located deep in some debris just beyond the main stem. I rated the image at a 6 and named it "Fractal Fanfare". I have no logical reason for the name. I simply like the way it sounds. The first impression of the image is that it lies near the escape radius of the parent fractal. In fact, it is near a cut-off point, but this point is not the bailout. It is a very strong discontinuity. The effect was achieved by rendering the image with the outside set to 'tdis'. The 5-1/2-minute render time is reasonable, but it is still easier to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the image there. The clouds here at New Fractal central on Sunday did not hold down the temperature, which reached 54F 12C. The fractal cats were unusually active. They spent most of the afternoon batting their toys around the place. My day was about average. The next FOTD will appear in about 24 hours, which is quite average. Until then, take care, and be one. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Fanfare { ; time=0:05:23.90--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.09397790372923559/-2.473990102403021\ 00/6.28241e+011/1.0421/17.853729149773649/1.521156\ 07205887438 params=1/-0.5/-1/1.5/0/0 float=y maxiter=1500 inside=0 outside=tdis periodicity=10 mathtolerance=0.05/1 colors=00000z02s02Z22G720B00G00L02P02V02Z04d04g04e\ 02d02b22b72`B0ZE0YJ0YM0lPLzRezR0uW0j`De0eV0jL5oBGu\ 2Pz0Zz0`z0`v0bs0bo0Yq5VsEPsOMuYHvgEvqAxz7xZGZAPB0Z\ 0Dzg5zd0z`0zZ5gjHOvT7zR2sP0eO0RO0ER0GT4GVAGWHGZPH`\ WHbdHdjH00AGBGWRMDzBJxEPuHVqJ`mMgjP8L0PWRTYRWZRZ`R\ bbRedRieRWJlZOi`RedVbeYZi`WjdTz08z5DzHHsVM0PD0TG7W\ HEYJO`MKKKzV0zO0zJ0zE0TzzEeRDbZDZeDYlDVsDRzDPzA0WV\ szPqzMooJmgGlYBjO8iG5g72g04j74mD5oL5sR7vZ7xeGsl0RV\ WjzdgzldzGmW0v00m20gA0ZH0TP0LY0Ee08m0Lg0Wg0gd0s`0z\ Y0zVJbgi2suGxzVzzgzzexzeqzdlzdexdZubVqbOobJ2JO0HP0\ GP0LT5PWETZMY`Vbddegljjuml0oY5mWGlVRjTbiRG0HM7LTGM\ ZPOeZPz0sz0mz4izDdvOZqYV0HzGVl0zzMxgdP2eT7gWAiYDi`\ HjbLleOE5LJBMOGOTMOYRPbYPgbR00s0Ex0Js2MoAPjHTgPYbY\ `ZedVqzEozHmvLlmOze0zg0zoHzv`zzuvzzuzzszzqzzozzmzx\ VjuDPs07q54iE0bO0VW0Oe0Go0Ax04v00v70uH0uT0sd0so0qz\ 0qz0gz0Zs4RiGJ`RARb2Ho08z } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 17-12-06 (Sting Ray Playground [6])
by Jim Muth 17 Dec '06

17 Dec '06

FOTD -- December 17, 2006 (Rating 6) Fractal visionaries and enthusiasts: Today's fractal reminds me of a school of sting rays circling about in their feeding grounds. (If sting rays do actually circle and feed in schools, that is.) I accordingly named the image "Sting Ray Playground". As for the rating, I decided on a 6. The image is a little better than average, but not by much. The parent fractal, which was generated by combining 6.6 parts of Z^(0.08) with 0.6 part of Z^(1.9) and adding C, appears as a large squashed Mandelbrot set surrounded by satellite smaller M-sets. One of these smaller sets lying to the west of the main set is of a quite unusual shape. Today's image is located in a valley of this unusually-shaped figure. The image is unusual in that many of its features are due to the colors. Changing the color palette will make this quite obvious. The render time of under 7 minutes is a bit slow. I recommend visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the image there. Saturday was slightly cooler but still pleasant here at Fractal Central. A high temperature of 50F 10C in the middle of December is always welcome. The fractal cats spent most of the day watching a small hole in a corner of the kitchen. I suspect a mouse, but I have not yet seen one. My day was rather hectic with excess shopping. But I survived somehow. The next FOTD will appear in 24 hours. Until then, take care, and be in tune with the infinite. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= StingRayPlayground { ; time=0:06:50.84--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-8.02960041053288400/+0.000488967901062\ 96/43241.83/1/-42.5/2.04665068302689601e-007 params=6.6/0.08/0.6/1.9/0/0 float=y maxiter=1200 inside=0 logmap=93 periodicity=10 colors=000NJlQMlSPmVSnXUo_Xpb_qdbrgerihslktonuqqvt\ twvvwrtvorukpthnselrajrZhqWfpSdoPbnM`mIZmFXmCVm8Tm\ 5Rm2Qm4Pm5Pm6Om7Om8Mm8Km8Im9Hm9Fm9Dm9OlBRkDTjFUiHV\ hJUhLTgMRfOPeQFdSFdUGcWGbYGaZGabIWfKRjLMiNLiPLhQLh\ SLgULgVKfXKfYKf_KeaKebKddJdeJcgJciJcjJblJbmIaoIaqI\ `rI`tI`uIZsHXqHWpGUnGSlFRkFPiENgEMfDKdDIbDHaCF_CDY\ BCXBAVA8TA7S95Q94P95R95S96T97V97W98X99Z9A_9A`9Bb9C\ c9Cd9Df9Eg9Eh9Fj9Gk9Gl9Ij8Ki8Mh7Of7Qe7Sd6Uc6Wa5Y`5\ __5`Y4bX4dW4fV3hT3jS2lR2nP2pO1rN1sM1pN2mO3jP4gP4dQ\ 5aR6ZS7XS7UT8RU9OVALVAIWBFXCDXCCYBCYBCYBCYACYACZAC\ Z9CZ9CZ9CZ8C_8C_8C_7C_7C_7C`6C`6C`6C`5C`55Z6C`5Jb4\ Qd3Xf2ch1fi1di0bc0VY0OS0HN0IO2IP4JQ6JR8KS9KTBKUDLV\ FLWHMXIMYKMZMN_ON`QOaRObTPcVPdXPeZQf_QgaRhcRieRifQ\ jdPkcPlaRm`UnZcoYhpWmqVrrTvsSztQzuPzvNzwMzxKzyJzzH\ zzGzzEzzDzzHzzKzzOzzRzzVzzUzzUzzUzzUzzUzzczzdzzdzz\ ezzezzfzzfzzgzzhzzizzjzzk } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 16-12-06 (Layer_Upon_Layer [5])
by Jim Muth 16 Dec '06

16 Dec '06

FOTD -- December 16, 2006 (Rating 5) Fractal visionaries and enthusiasts: Today's fractal expression -- 5*(Z^(0.4))+Z^(2.6)+C -- draws a rotated Mandelbrot set with a crooked main stem that terminates then fizzles out in a crooked extended string of dots and dashes. Today's image is located on one of the dashes. I named the image "Layer Upon Layer". The colored layers are what I noticed first as I studied it. The layered look was achieved by rendering the image with the 'outside' set to 'tdis'. The 'tdis' idea seemed good at the start, but the final result fell a bit short of my expectations, resulting in the rating of a not bad but not good either 5. One thing actually good about the image is its speedy render time of 2-1/2 minutes, which should try the patience of very few. Another good thing may be found on the FOTD web site where the already-rendered image is posted and ready to be seen by all. The FOTD web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A cloudy morning gave way to a partly sunny afternoon here at New Fractal Central on Friday, while the temperature reached a very mild 57F 14C. The fractal cats ignored the weather. They were more interested in batting a wad of crumpled paper around the house and searching for mice. The futile effort had them ready to settle to sleep by the time their evening treat was served. My day was about as close to normal as it is possible for a day to be. May most days be the same. The next FOTD will appear in 24 hours. Until then, take care, and could it be possible that fractals can cure a broken heart? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Layers_Upon_Layers { ; time=0:02:27.23--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-3.66846143570733700/+0.520672683413754\ 60/1.365974e+012/0.9999/112.5/0.0060917773143341 params=5/0.4/1/2.6/0/0 float=y maxiter=450 inside=0 outside=tdis periodicity=10 mathtolerance=0.05/1 colors=000MUPGMJBFC576WdqPFTLDPIBLF9IC7E95A6373131\ GS08EkCmeAf_9`U7VO6PI4IC3C616wF8kC6_94O63C31CQ8AM6\ 8I56E4RbTHdX8e`HhZPjXXmVeoTmrRutPdeQORR7DRFNLAFECa\ 2577aWhJGMwlImcFcWCUO9KG6A83LGoIDgFB`C9T96M64E327K\ TflU1bO0TI0JC0960ECHB9D87A546223sckSKOZfXEYwBSm9Mc\ 7HU4BK25Arp4jn`4jT3ZM2NE1B78UF6PC5KA4F72A5152zTNqP\ KhLHaIEWEBPA8I75932XszOe`GSP8ECOZPGNG8B8TlkPeeL__I\ UUEOOAII7CC366Tg8NZ6HQ4BH3581fyJSdCEK6aVNPKFCA7Upw\ QirMbhIX`FQUBJM7DF367nHmmDmmAmm6mm3mm1b10JRJ72C219\ 1161030Ign05ClsAbg8TX6JM49B2JRsFMiCI`9DS69I349BkHp\ IQ6PC6AR35D0Sx0Lh0EU07FGetCVe8LS4AEq9Xj7Sc6OX5KR4G\ K3CD28614Lp6EZ47H2wrtURSe2tmTRdOMXJIPEDG99844J`3B1\ D80A607405202bseMXYISTFNOCIJ9EE6993446Ei4B_38R25I1\ 29Il`CWO6GC8Gp6IB4D8395142102001001000000cccUUUKKK\ AAA5`k4Vd3QY2LR2FK1AD0562Nm1Ic1DU09K04AsWtgPhXJYMC\ MB6BgjC`by0rJ0dE0R90D4SaW } 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 15-12-06 (Tic-Tac-Toe [5])
by Jim Muth 15 Dec '06

15 Dec '06

FOTD -- December 15, 2006 (Rating 5) Fractal visionaries and enthusiasts: Today's formula mixes 0.3 parts of Z^(-11.4) and Z^(2.3). This formula produces a grossly oversized parent fractal that resembles a mixture of filaments and holes. Today's image is located in a kind of East Valley of the center-most hole. I named the image "Tic-Tac-Toe" because it reminds me of a midget sitting in the center square of a 3x3 grid. I rated it at a 5 because it really isn't all that great, most of the effect being produced by the coloring. The render time of 5-1/2 minutes is quite reasonable, but if 'quite' is not reasonable enough, the already-rendered GIF image may be viewed at once on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy morning fog burned off by noon here at New Fractal Central, leading to a pleasant sunny afternoon with a tempera- ture of 59F 15C. The fractal cats found that the sun coming through the window was warm enough to lie in for a while. Then they started playing. My day was pretty much normal and uneventful, which is the kind of day I can relax and enjoy. But fractals are everywhere, even on the most boring days. The next FOTD fractal will appear in 24 hours. Until then, take care, and I hear it said that a pot of diamonds lies at the end of the next fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Tic-Tac-Toe { ; time=0:05:31.26--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.75178759157913060/+0.000928823958958\ 99/4.05265e+007/1/65.8/-3.54053367311590872e-007 params=0.3/-11.4/0.3/2.3/0/0 float=y maxiter=1600 inside=0 logmap=127 periodicity=0 colors=000000AaYHcYNeYTgYZiYdkYARINZOZeTeTQfWRgYSg\ `ThbUieVigWjjXgLAhSGiZMjeSEVqKYmP`jVcg_fcei`w5crKa\ nZ_uY4xeJszUpcamw_cAoDxqUrgPZ`Ua_YdZbgZfjYFeuNgoVi\ ibkcv4qrJjnYc0Us9VdSc`NTeZbazk0wl5ulAslFplKnlPllUJ\ NhNRfRVdVZcZaabe`fiZBQnHUkMXiR_fWcd`faei_PPl_`dJjR\ OkTTkUXkValWflXK_kqJrnTklbdUhkYih`jedkbgl_UPgXTe_X\ cb`bed`hhZt6BpLJmZRItHOrLUpO_oSemV2f38g7EhBJiFPiJV\ jN_kRelVTrAZpIdnQuvLhdUifVihWjiXjkYEQVPYW_eX5oTQmW\ dp5eoAfnFgnKhmPilUoWGnZJm`LmbNldPkfSkhUjjWIo`Sn_am\ ZKVgT`caf`9IDMTKZbRCrDLpJUoObmTtSypZomefdPyeTufWqg\ _mhbiifejia`MmbQjcUheYffacheaii_dP1eT6fWBg_GhbKifP\ jiU`mkemdXmfZmd`mcbmbcmaem`SzQKzPJzOIzNHzMGzLFzKEz\ JDzICzIIzKOzMUzO_zQdzSezTfzUgzVgzVjzahzWizXjzYxz6v\ zAtzErzIpzMnzQlzUAzA8zaLz_YzZ1zFRz6VzCZzIbzNfzT9zj\ MzeZzaozpnzlmzilzfkzcjz`KzVYzXEzSJzTOzUTzVXzWazXfz\ YJzdNzcQzbUzaXz``z_czZgzY } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 14-12-06 (Curling Floaters [6])
by Jim Muth 14 Dec '06

14 Dec '06

FOTD -- December 14, 2006 (Rating 6) Fractal visionaries and enthusiasts: Today's curious image exists in the fractal created by the formula Z^(1.05)+C as it appears 555 levels up the logarithmic spiral. The very low-order parent fractal consists of little more than a large bay, with a partly jagged and partly chaotic shoreline. The whole thing somewhat resembles a comet. Today's scene is located in a chaotic area on the northern shoreline of the bay. I named the image "Curling Floaters", which fairly well describes it. When I look at the image, I see a blue sky in the background nearly obscured by a writhing mass of curly things rising from below. Others may see almost anything their imagina- tion can picture. I rated the image at a 6. It has no midget at the center, but it is still a rather enjoyable fractal to observe, with an unusually pronounced 3-dimensional effect produced entirely by the coloring. The render time of 5-1/2 minutes is within reason for such a fractal. Sometimes however, we have more pressing matters than calculating fractals. If today is such a day, do not despair. The finished image is or soon will be ready to be viewed on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A rainy morning gave way to a sunny afternoon here at New Fractal Central on Wednesday, while the temperature reached a balmy 54F 12C. More interested in play than weather, the fractal cats spent the day getting into various mischief. When their evening treats were served, they were totally exhausted. After taking two days off, I had a busy day catching up. But by the time dusk arrived, all was as it should be. The next FOTD will appear not quite by magic in 24 hours. Until then, take care, and be prepared. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Curling_Floaters { ; time=0:05:XX.XX--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-6.18138/3.82175/2.069197/1/-155/5.1271\ 4870559705105e-014 params=1.05/0/555/1000 float=y maxiter=7500 inside=255 logmap=51 periodicity=10 colors=000pjZqjZqjZrk_rk_sk_sk`tk`tl`ulaulavlavlat\ j_rhZqgXoeWncUlbTk`RiZQhYOfWNeULcTKbRI`PHZNE_OG_PH\ `QI`RJaSKaTLbUMbVNcWOcXPdYQdZRd_Se`TeaUfbVfcWgdXgd\ Zhe_hf`igaihbjicjjdjkeklfkmglnhloimpjmqknrlnsmotno\ uooupnsqmrtlpwkozkmzjlzijzhizggzgfzfdzeczdazd`zc_z\ bYzaXz`Vz`Uz_SzZRzYPzXOzXMzWLzVJzUIzUHzVIzWIzWIzXI\ zXIzYIzZIzZJz_Jz_Jz`JzaJzaJzbJzbKzcKzdKzdKzeKzeKzf\ KzfKzgLzhLzhLziLziLzjLzkLzkMzlMzlMzmMznMznMzoMzoNz\ pNzqNzqNzrNzrNzsNzsNzqOzpOznOzmOzlOzjOziOzhOzfOzeO\ zdOzbOzaOz`OzZOzYOzXOzVOzUOzSOzROzQOzOOzNOzMOzKOzJ\ OzIOzGOzFOzEOzCOzBOzAOz8Oz7Oz5Nz6Oz7Pz8Qz9QzARzBSz\ CSzDTzEUzEVzFVzGWzHXzIXzJYzKZzLZzM_zM`zNazOazPbzQc\ zRczSdzTezUezUfzVgzWhzXhzYizZjz_jz`kzalzalz`kz_jzZ\ jzYizXhzWhzVgzVfzUfzTezSdzRdzQczPbzPbzOazN`zM`zL_z\ KZzJZzJYzIXzHXzGWzFVzEVzDUzBSzDUzEWzFXzGZzH`zJazKc\ zLezMfzNhzOjzQkzRmzSozTpz } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 13-12-06 (Something New [5])
by Jim Muth 13 Dec '06

13 Dec '06

FOTD -- December 13, 2006 (Rating 5) Fractal visionaries and enthusiasts: Today's image came about when I took a look at the fractal that results when Z^2 and Z^5 are combined and C is added. This parent fractal is a shapeless thing with one large valley and one obvious Mandelbrot bud. Today's image is located on the southern shoreline of the largest valley. Feeling a bit liberal, I gave the image a rating of a 5. A 4 would seem more appropriate. But I really over-extended myself when I named the image "Something New". True, almost every fractal is one that has never been seen before, and fractals in today's style are by no means common, but I feel that the image offers nothing really new, and that the name is a bit misleading. Some might complain about a lack of creativity in today's image, but no one can complain about the lightning-fast calculation time of only 49 seconds. Those ready to go on the internet to see the image may view it by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it is posted fot all the world to see. Today was a day of transition. We said good-bye to the old fractal cats at 1pm and hello to the new fractal cats at 5pm. The old guys were sorry to see us leave; the new guys were glad to see us return. Somehow I managed to squeeze in a barely adequate fractal. With things now back to normal, the next FOTD will appear in 24 hours. And I would not be surprised if it were to rate higher than today's 5. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Something_New { ; time=0:00:49.04--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident center-mag=+0.48212651118548390/-0.025920831934302\ 22/2.59353e+008/1/-127.5/-1.47857206576479383e-005 params=1/2/1/5/0/0 float=y maxiter=350 inside=0 logmap=33 periodicity=10 colors=000faZdZZcWZgY`j_amacpcdgRj_EocrCG7HUd9KR6A\ D34U42F2qv6RT3sK5`D3I61Qx9Jh6DU46F2i2Wlh1h1NU0FF07\ J9IC6C636iFdwkah_SUOJFC9DG09C0680340rUwq0gc0XR0MD0\ BI85D63942421T8UL6ME4F727TiA1wl0UOf6EL37mzpZMAaIDI\ wZ9UHDA4862cHpcKobNnbRmaUlaXkX_mTanPcoLepHgqDirHVh\ KGZN1Q_EakRmwbxuXwsSvqNupIt2QqHVXHXWHZVH`VHbUHdUD`\ QAYM6UJ3RF0OCr9ugPTYc0fcGocWwckrajn_iiYheXg`VfXTeT\ SdYPVaMMeKDlHA0du1co2cj3be3b`3XU3RN3LG3F92A6153111\ 2883EF4LL5RS6YZ7cd8jk8pqMckZSelF_y3Vr8SkCQeGOZKMTO\ KMSIGWGOYHW_HcaHadE`fB_i9Zk6Yn3Xp1ZiA_cIaYRbRZdLge\ Fof9wiCnkEfnHYpJQsMHuO9nM8gL7`K7VJ6OH5HG5AF44E4GC9\ RAEa8Jl7Nj5Ph3Qg1RZ3PQ4NH6L87J08It1xq6moAbmFSkJHiN\ 6fT8dY9bcB`hCZnEXsFZnN`jUbf`dahfYogUvfTteSrdRpcQnb\ PlaOj`Nh_MgVYhQhiLsjOjcRaYUTRXLLFEHp_rAgZ5MHVxDFU6\ 0pf0bW0QL0DALpxFbhAQU5DFWmHO`CGP88C4g9kT6WE3GWOK_`\ KcmLfzLakGXXCMP7BI3SUJheZ } 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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Missing FOTD's
by John W. 12 Dec '06

12 Dec '06

Thanks to those who corrected my statement that most of the December FOTD's at Pauls site were missing. I tried refreshing the page, as suggested, and there they were. I've never seen this problem before. I use Internet Explorer, and have just installed Version 7. I wonder if this is what caused my problem? John W.

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FOTD -- 12-12-06 (FOTD for Dec 12 2006 [Not rated])
by Jim Muth 12 Dec '06

12 Dec '06

FOTD -- December 12, 2006 (No Rating) Fractal visionaries and enthusiasts: Today's annoyingly slow fractal came about when I subtracted 0.45 part of Z^(2.1) from 1/2 part of Z^(1.9) and found myself faced with a parent fractal that resembles a Mandelbrot set rotated 180 degrees, with everything doubled. There are 2 main stems with large midgets, 2 East Valleys, and 2 of almost every- thing else. The large midgets on the two main stems are particularly interes- ting, but they are impossible to describe in words and must be seen to be realized. Today's image is located on an odd bridge in the southern large midget. Since I found today's image with so little effort, I gave it no rating. The exceptionally long calculation time does not imply an equally long search. I also declined to name the image, giving it only a catalog entry. And the render time of 1-1/3 hours on my machine will be cut to under 30 minutes on the SOTA fireball units that can handle DOS programs. Luckily for those with DOS-deprived units and those with better things to do with over an hour, the finished GIF image was sent ahead to Paul. The image may be viewed on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A super-spectacular day at Old Fractal Central, with sunny skies and a temperature of 63F 17C, was fully enjoyed by the old fractal cats, who actually did a little romping in a sunny corner of the yard. The adventure must have given them quite an appetite, for they demanded a second serving of tuna at their evening treat. My day here at Old Fractal Central was slow. By tomorrow eve- ning, I'll be back at New Fractal Central with the new fractal cats. If no FOTD appears, you'll know I had no chance to find a worthy fractal. Until next FOTD, take care, and believe the best. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_Dec_12_06 { ; time=1:20:46.99--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident center-mag=+9.43213598786648/-1.12100644021645/1.4\ 30652e+007/1/67/-1.32167153882381538e-005 params=1/1.9/-0.9/2.1/-0.5/100 float=y maxiter=10000 inside=0 logmap=1200 periodicity=10 colors=000dh1cf2be2ad3ac3`b4_a4Z`5ZZ5YY6XX6XW6WV7V\ U7UT8UR8TQ9SP9ROARNAQMBPLBPKBMJCKJCIJCGJCEJCCJCFGF\ IEILCLOAOR8RU6UX4X_2_b0bc2_c4Xd6Vd8SdAQeCNeEKfGIfI\ FfKDgMAgO7hQ5hS2hU0eZFcbU`fhZjvXkuVltWlsZmsamrdnqh\ opkopnpoqpntqmwqmzrgysbxuYwwTuxOsyJqzEoy9lxAkwAjvA\ huAgtAfsAdrAcrAbqAapA_oAZnAYmBWlBVkBUkBTjBRiBQhBPg\ BNfBMeBLdBKdBJbCJaCI_CIZCHXCHWCHUCGTCGRCFQCFPCFNDE\ MDEKDDJDDHDDGDCEDCDDBBDBADB9DFAJIAOLATPBZSBcVBhSJj\ QRkOYlMenKmoItpHrqGpqFnrEmrDksCisBhtAftAdu9bu8av7_\ v6Yw5Xw4Vx3Tx3Sx7TwATvDUuGUtJVsMVrPVqSWpVWoYXn`Xmc\ Xmb_laakacj`fi_hhZjgZlgWiiUfjRdkPamMfnKUqOPdSIUWAJ\ Z38Y6BX8EXBHWDKVGNVIQULTTNVTQYSS`gbzRSfQ_iPalPcnPc\ nPcnQcmQcmQcmQclRYlRckRckSckScjScjScjTciTciTciTchU\ chUchUXgUcgVcgVcfVdfWefWfeWgeWieXkdQmMOhQMgULhXLi`\ OjcRkgUmjXok_qlbsmeurhxvkzznzzqzztzzwzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD -- 11-12-06 (Another Mandelbrot [Not rated])
by Jim Muth 11 Dec '06

11 Dec '06

FOTD -- December 11, 2006 (No Rating) Fractal visionaries and enthusiasts: I'm back at Old Fractal central for a stay of a day or two. Despite the different location, I still managed to find a fractal. The image is a very quick one that I found in our old friend the Mandelbrot set in less than 5 minutes. It is located in a remote valley of the large radical on the northwest shore of the main bay. There is not much to be said about the image, which pretty much speaks for itself, at least for those with eyes to hear. Since it is so mundane, I gave it no rating. And the name "Another Mandelbrot" is self explanatory. The exceedingly fast render time of 49 seconds is true on the ancient P133 machine here at Old Fractal Central. On my usual machine back at New Fractal Central, today's image would calcu- late in about 30 seconds. But regardless of the speed of calculation, the finished GIF image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> ready for viewing. A perfectly delightful sunny December day with a temperature of 55F 13C here at Old Fractal central was fully appreciated by the old fractal cats, Thomas and Tippy, who spent the entire after- noon sleeping in the holly thicket. When the time arrived to come inside, they were fully ready to enjoy their tuna. My day back here at Old Fractal Central would have been more enjoyable if it were not for my bum ankle, which is still slowly recovering, and still has me slowed down to a hobble on flat surfaces only. I'll be here again tomorrow before heading back to New Fractal Central and work on Tuesday. The next FOTD will appear right here in 24 or so hours. Until then, take care, and might might not always make right. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Another_Mandelbrot { ; time=0:00:49.16--SF5 on a P133 reset=2004 type=mandel passes=1 center-mag=-0.53758150761456160/+0.611602885511779\ 10/6.062598e+011/1/-105/0.0213946818991325102 params=0/0 float=y maxiter=2800 inside=0 logmap=545 periodicity=10 mathtolerance=0.05/1 colors=000bFF_FIXELUEOSERPDUMDXJD`GCcECfBCi8Bl5Bo2\ Br0Bu5Cs9CqDCpHCnLClPCkTCiXChYC_YCRYCIYC9_FBaHDbJF\ dLHfOIgQKiSMjUOlXPnZRo`TqbVrdWndWjdWfdWbdWZdWVdWRd\ WNdWKdWLeXMfXNgXNhYOiYPjYQkZQlZRmZSn_To_Tp_Uq`Vr`W\ s`Wt`TuaQvaNvbRcWUcWXdW_eWceWffWigWlgWohWrhWndVkaU\ gYTdVSaSR`QS`OS_NS_LSZKSZISZHSYFTYDTXCTXATW9TW7TW6\ TOKcGYn8jx9it9hp9hmAgiAffAfbBeZBdWBdSCcPCbLCbIPeL`\ hOlkRxmTcy_dxYewWfvVguTgtShsQirPjqNkpLkoKlnImmHnlF\ nkEojIpjMqjPqjTrjWsj_sjctjfujjujmgnpVrrIvu5yw9vtCt\ qFrnIpkLnhPlfSjcVh`YeY`cVdaTg_QjYNmWKpUHsSFlVDeXCZ\ ZBSa9Lc8Ee7MW7UM7`C7ZDAYECXFFVGHUHKTIMSJPQKRPLUOMW\ NNZLO`KPcJQeIRgly`irbfldcff`_hYUjWOlXPiYQgYQdZRb_R\ __SY`SVaTTaTQbUOcULcVJdVGeWEeWC7qUBoSEmRHkQKiPNgOQ\ eNTdLWbKZ`JaZIdXHgVGjUFkVEpYCu`Azc8MhjIgoEfsBfwEdt\ HcqKhnNmlQriTvfWzcYza`zZczWfzTizRlzOozLqzJozLmzMkz\ NizOgzPfzQhzTizVjzXkzZlz` } END PARAMETER FILE=========================================

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FOTD 10-12-06 (Chrysanthefractal [5])
by Jim Muth 10 Dec '06

10 Dec '06

FOTD -- December 10, 2006 (Rating 5) Fractal visionaries and enthusiasts: Today's fractal was created by combining 10 parts of Z^(0.17) with 1 part of Z^(1.7) and adding C. I named the image "Chrysanthefractal" when it reminded me of a Chrysanthemum. Despite my better instincts, I gave it a rating. I rated it at a perfectly average 5. The parent fractal is little more than a scattering of fractal debris filled with tiny Mandelbrot sets. Today's image lies in one of the smaller bits of this fractal debris. The 'tdis' outside option saves the image from the delete key by adding just enough red and green interest to make the image worth the measly 45 seconds required to calculate it. The already-rendered image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> ready for immediate viewing. Brilliant sun and a much milder temperature of 45F 7C brought out the best in the fractal cats on Saturday. Unfortunately, they are not permitted out of the house, so they did not enjoy the splendid weather. They have almost forgotten about going out. It looks like they might be permanent inside cats. My day was slow but not boring. Fractal lady and I are planning on taking a trip back to Old Fractal Central on Sunday to see my sister and the old fractal cats, Thomas and Tippy, who I hear are doing fine and are as lazy as ever. We will probably stay until Tuesday morning. I am not sure whether I will get a chance to post a FOTD from the old place on Monday the 11th or Tuesday the 12th, but the FOTD for Wednesday the 13th will appear on schedule. Until next time, either in 24, 48, or 72 hours, take care, and if you wait with baited breath. You might catch a trout. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Chrysanthefractal { ; time=0:00:45.37--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident center-mag=-12.41012059226374/-4.237841024906849/5\ 0165.73/1/115/-7.98099092369497498e-009 params=1/\ 1.7/10/0.17/0/0 float=y maxiter=300 inside=0 outside=tdis periodicity=10 colors=000ieXilUirRpkevdsugrtirtkrqgpocol_mjWlhSke\ OicKhaHgfKbjMYoOUsQPwSLVUR3VX4TS5RO6PK6NG7LC8J88I4\ FWBLiIRwOOnLLeIIXFFOCCF9A67BLOCZdDltJjnPhhVfc`dYfb\ Sl`NrZHxXCqQAhK9dD7_76U15S56Q97OM8MN9KPAIRBGTCFWCL\ THRQLWMPaJTfHXeQTdYPdfMhnImvFekHMaJDRL4HM7JN9LNBNN\ EPOGROITOKUOUaWcjblzif`z`ez_UzZOrYOnYOjXPfWPbVPZVP\ VmWPH8tH9jHA`HBRhUMZOKQIJbbAVUDOLGzkD9OxDIbbZEXTFS\ NGMHHaDFRCHCjOFTLYWdTRZPMTLHNjSnbOeWKYOGQkyXW`PXcQ\ PQMuv8gfCURF`xdUgXNSPF8pG9gGAZHBQ`XIRMIKOdJKXIGP`A\ URBO2dgAQV9ToBOfDKZFGQinuRJ`NGUKEOF6oG8cHATS65O8AK\ AEQATlDHdBTYAcR9nK8yJAjQMYIBWcKYYIUSGQMEMIrhZLtUIj\ QG`LERHm5HVNHOLHIJLlWJ_RIOMQTJNOILKIJGIzO2nL6cIASF\ ETU1GmRHVMm7Nd9LXAKPBJlPQXIMxiam`XbTSSKN633A68E9Dw\ QG4pBBWFahDVYFONHIc4HX8HQBHJFIqqHceHQUq67Z9DXiMT`L\ PTKLKJyThbKVpJ8ZFD0pB5eD9WFDMHfrK_gJUXJNMIOCzMCnKC\ cICTYkWPUPi7niEjiLgiSciZ` } 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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