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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Due to another big rush, today's discussion is short. But do not be deceived by the brevity; the actual image is well above FOTD average. Today's image came about when I subtracted 5 parts of (1/Z) from Z^(-4), added (1/C) and iterated with the escape radius set to an impressive 3600. I will not begin to describe the immense spidery parent fractal, which is unlike anything that has gone before. Being pleased with the smoothness of the image's colors, I rated it at an 8. I named it "Iteration Chain", a name that could be applied to all fractals. The calculation time of 9-1/2 minutes is marginally within reason. Even more reasonable is the mere minute or so expended by visiting the FOTD web site at: It was another perfect day here at Fractal Central on Saturday -- a virtual repeat of Friday. And once again the fractal sabretooth cats ignored the weather. They were after big prey -- a catnip mouse. My day was very busy, but the work is nearly accomplished, and by Sunday it will be finished. The next FOTD will appear around that time. Until then, take care and keep your fractal spirits high. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Iteration_Chain { ; time=0:09:26.67--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=recip passes=1
center-mag=-0.713802219497/-1.425678410608/3.91862\
e+007/1/-110/4.2853591961e-005 float=y outside=fmod
params=1/-4/5/-1/2.5/3500/0/0 logmap=yes inside=fmod
proximity=0.5 periodicity=10 maxiter=256
colors=000zzzwwzttzqqznnzmmzlnzkozjpziqzhrzgrzfrzg\
sziszjszlszntzotzqtzstyrtxrrxrpwrnwrkvrivrgureurbt\
r`trZsrXsrUrrSrrQqrOqrLprJprHorFovAqrDonGnjJlfMkcP\
j_ShWVgSYeP`dLccHfaDi`Al_8eY6_W4TU2NS0IS1HR1HR1GR1\
GR1GR1FR1FR2FQ2EQ2EQ2EQ2DQ2DQ2DQ3CP3CP3BP3BP3BP3AP\
3AP4AO49O49O49O48O48O48O5AP5BQ6CR6DS7ES7FT8GU8HV9I\
W9JWAKXALYBMZBNZCP_CQ`DRaDSbETbEUcFVdFWeGXfGYfHZgH\
_hI`iIaiJcjJdkKelKfmLgmLhnMioMjpNkqNlqOmrOnsPotPpt\
OosOnsOmrOlrOkrOjqOiqOhqOgpOfpOepNdoNcoNboNanN`nN_\
nNZmNYmNXmNWlNVlNUlMTkMSkMRkMQjMPjMOjMNiMMiMLiMKhM\
JhMIhLHgLGgLFgLEfLDfLCfKBeJAeI9eH8dG7dF6dE5cD4cC3b\
B2bA1a90a80`70`60_50_40Z30Z20Y10Y00X00X00W00W00V00\
V00U00U00T00T00S00S00R00R00Q00Q00P00P00O00O00N00N0\
0M00M00L00L00K00K00J00J00I00I00H00H00G00G00F00F00E\
00E00D00D00C00C00B00B00A00A00900800700600500400300\
2001000000000000000000000 }
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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times.
