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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: The usual discussion will not appear today with today's fractal. I had it written, but the file vanished. Or maybe I never saved it. Regardless, the fractal itself has survived. I named it "The Green Goblet" after the vague goblet-like shape that extends beyond the borders of the image. The formula that created the image mixes a part of Z^0.75 with Z^1.25. The resulting fractal has no midgets, but its overall shape, which appears as today's FOTD is unusual. I rated the picture an average 5. The runtime for the parameter file is a somewhat above average 16-1/2 minutes, so the better way of seeing the image is to download the GIF file from Usenet at: The fractal weather today was mostly sunny, but breezy and chilly, with an afternoon temperature in the mid-50'sF (13C). It was just a bit too chilly for the cats, who ventured no farther than the porch. And that's it for this very late evening. Until tomorrow, take care, and don't give up the fractal. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
The_Green_Goblet { ; time=0:16:29.36 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-2.09556/0.0139982/0.2675064/1/-90
params=1/0.75/1/1.25/-1.58/0 float=y
maxiter=1000 inside=zmag logmap=55 periodicity=10
colors=00000F<4>00F000<2>2003A1422<12>EQ2FS2GU2<3>Ja\
3Mb3Qd3<5>ao3cq3es3<2>ky3mz3mx4mw5<5>ao8_n8Yl9<2>ShA\
RgBRfB<6>RXFQWFQVG<3>PPIKOIKLJFLJFFKFCFFDHADIAEK5FL5\
GNAIOAIQKDUKFTFISAKR<15>hlBjnAlo9<3>tw5uz0<10>vjYvi`\
vgc<2>vclvboxdswfu<5>uTluRjtOhtMftKe<3>rAZr8Xs2Y<25>\
hfChhBgiA<2>fn7fo6gp4<9>daTd`WcZY<2>cVebTgcSjdUleWkf\
Ykg_nharhbwhcv<8>kdokdnkcm<3>mcjmcimchncgncghKs<3>hG\
umFy<17>MKeKKdJKc<3>DL_B0KA0K
}
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.
