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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: With a normal 20-minute trip across town now taking 2 or 3 hours, things are still somewhat hectic here in the Fractal Central part of the world. This leaves little time for fractal fun, but being one who enjoys fun, I somehow managed to find a fractal. Actually, I would not call the discovery 'finding' a fractal. Finding a fractal is like going to the beach and finding a grain of sand. I simply took one of the infinity of fractals that I knew were there. However, with the appearance of yet another July midget, it no longer makes much sense to claim that July will be a midgetless month. Searching for a reason, I can always unroll the old excuse that fate was against me. But the effort to have a month with no midget was not totally futile, for I did produce a few worthwhile fractals with no midgets at the center. Today, we declare the FOTD midgets to once again be legitimate. The formula behind today's image is 6Z^(-1.68)+3.6Z^(-3.11)+(1/C), a whimsical expression that I pecked out totally at random. I colored the scene with the <tdis> option, and for no obvious reason named the result "Iterative Serenade". Actually, the name is probably the best part of the image, which on its own merit rates only a perfectly average 5. The 6-minute render time from the parameter file is a bit slow for such an average image. The download, which will soon be available at: The fractal weather today was perfect, with brilliant sun and a temperature of 82F 28C. The fractal cats were happy with the perfection, doing nothing all day but sleep. And I'll be happy when I get the rest of the graphic work wrapped up. But regardless of how other things go, I'll be back next time with another fractal and a few words. Until then, take care, and where did the philosophy go? Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Iterative_Serenade { ; time=0:06:00.53--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.67175138564879/+6.985289718906726/2.\
182875e+007/1/-139.999 params=6/-1.68/3.6/-3.11/0/0
float=y maxiter=1200 inside=0
outside=tdis periodicity=10
colors=000Y_9_Z7`Y6bW8cUAdSCeQEgOFhMHiKJjILkGMbLLV\
PLNTKFXK7`KA_PDZTGYXJXaLWeOViRUnUTrXSvZRzjUoZZqObr\
Cgt1ku4gu6du8auAZuCWuFTuHQuJNuLKuNHuLHrKHoJHlHHiGH\
gFHdEHaCHZBHWAHU8HR7HO6HL5HJAMOERTIVYM_bRcfVhkZlpb\
qufuyXkgNaQc00c00c00c00c00c00`K7jI8tH9tKAtNBtQCtTD\
tWEtZFtaGtdHtgItjJtlJpgHmbGiYEfTDbOB_JAXF9VHBTJCRI\
DQHEOHFMIGLIHJJIHJJGLKEMLCOMBPNERQGSTJTWLUZNeaQfdS\
ggUijXjmZkp`lsZkqYkoXkmWkkVkiUkgTkeRkcQkaPk_OkYNkW\
MkULkSOlTQmUSnUUoVWpWYqW_qXarYcsYetZgu_iv_kw`mw``O\
Vi`kjZgjWdkTakRYlOVlLSmJOmGLnDInBFmHKlMPkSUkXZjbci\
ghhmmhrqkohnl`qiTtfLkZMcRNVKNNCOF5OG9SGDWGH_GLcIOb\
JQaKT`LV_MXZN_YOaXPdXQfWRhVSkUTmTUpSVrRWtRamWgg`ma\
dsWiyQmvTltWkrZjpaimdhkfgiifgledodbrc`ubZwaYw_XwZW\
wYVwXUwVTwUSwTRwSQwRNj6Ll7Km8Jn9HoAGpBFqCErDCsEBtF\
AuG9vGCsFEqEGnEIlDKiCMgCPeBRbAT`AVY9XW8ZU8YXEX_JXb\
OWdTVgZVjcUmhUomXeoVaDW`B
}
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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times.
