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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: The formula 2Z^(-1.111)+2Z^(-16.67)+(1/C) is behind today's fractal, which I decided to name "Fantasia in Red" and rate a slightly above average 6. There's not much to be said about the image, which speaks for itself. So I'll not say much, except to tell that the parameter file is a rather slow one, taking almost 14 minutes to render. To avoid impatience, I recommend downloading the GIF image from: The fractal weather today was partly cloudy with a temperature of 50F (10C) -- enjoyable outdoor conditions for the cats. But an intense squall struck in the afternoon, with a dramatic drop in the temperature and flurries of snow that sent the dynamic duo scurrying indoors. And I'm out of energy and about to scurry for my favorite chair. The philosophy didn't even come close today. Maybe I'm all philosophized out. Regardless, we'll have another fractal tomorrow at the regular time. Until then, take care, and realize that fractal images exist only because we wish them to. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Fantasia_in_Red { ; time=0:13:47.22 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+70.00933328451245000/+43.860611755854760\
00/130806.7/1/-107.5 params=1/-1.111/1/-16.67/1/400
float=y maxiter=1200 inside=0 logmap=159 periodicity=9
colors=000AFH<3>EITEIVFIX<2>HI`HJbIIc<3>KHiKHjLGk<2>\
MFpNFqLDt<4>SKnTLlUMkWOj<2>ZQg<2>TL_SKYQKV<3>JHMHGJG\
FH<3>9C7CB5FA1IB3LB4OC5RE6<3>bGAeGChHDkHE<2>vIHyIIzL\
MyIJuGGrEDmB9<3>YFGUGIRHJPHLNINLJYKKdILfGMgENiEPaDN_\
CJQCFG<5>QELSDLUDM<2>`DObDPeEO<12>aATaATaAT<3>`9U<3>\
HNiCQm8Tq<3>UjVZnPcrJixD<13>cdRbcSbbT<3>`XX`YW<3>Ta_\
Rb`IYP6TB<8>QVVSVXVVZ<3>bVf<7>JidHkdEmd<3>5td<3>WvFb\
v8hv2<12>jM9jJAjGA<3>j5CeLR`NeXPt<3>`Xh`Zfa`c<3>dhT<\
3>Xp_VraTtbRvdPxeXztdzueztfzsszVuzTvzRszSMzb<5>Azl7z\
x<2>AzU
}
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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