Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today was an exceptionally busy one here at Fractal Central, leaving almost no time for fun with fractals. But I did find another midget. This midget is surrounded by what appears to be the petals of a sunflower, so that's the name I gave it. The expression -10Z^(-1.3)-Z^(-13)+(1/C) was calculated by the MandelbrotMix4 formula to create the image, which is not at all exceptional, rating a somewhat below average 4 on my scale of fractal worthiness. The parameter file's 9-1/2 minute render time is slow enough to make a download of the image file from: The fractal weather started deteriorating today, with lots of clouds and a temperature of 64F (18C). Recognizing less-than-perfect conditions, the fractal cats spent only a limited time outdoors. As for philosophy, there is none, but I'll return in 24 hours with a hopefully higher-rated fractal and more to tell about it. Until then, take care, and may the better man win. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Sunflower { ; time=0:09:37.21 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+2.72767006651009100/+0.39885761742574140\
/1.266804e+008/1/-105 params=10/-1.3/1/-13/-2/100
float=y maxiter=2400 inside=0 logmap=144 periodicity=9
colors=000bQR<9>hbihckidm<3>kit<13>RnnQnnOnm<3>Jol<3\
>FgaEeZDcXCaUB_R<3>7PH6ME5JB5I97L88M8AP8BQ8CT8EU7FX7\
HY7I`7<5>Qh6Sj5Tk5<2>Xp5Zq4_t4`v4by4cz4dz4ez6ey8<3>f\
nEfkFfjH<13>iMaiKcjJd<3>jCj<3>XQmTUnQXoN_o<25>OHDOGC\
OFA<3>OD5<2>D2t<17>RJxSKxSLy<3>VOy<6>IcWGeSEgN<3>7o7\
<3>VVV`P`fKf<2>x5w<3>3x_<23>BpPBpPBpO<2>CoNCoNFpO<3>\
NrOPsORtOTtOVuO<8>ivIkvHmvG<3>svE<2>tnJ
}
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.