Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: The weather is very hot; tomorrow will be hotter. I've still got a rush of work ahead of me. It's been the perfect time for a snow cone. My fractal computer did not let me down as it produced an image this (yesterday) afternoon that looks like a midget surrounded by snow cones -- vanilla flavor of course. To make the snow cone, 0.156 part of Z^3 must be subtracted from Z^2 before adding C. The -0.156 portion of Z^3 is very critical, with the slightest change totally losing the midget. I named the image "Snowcone in Summer". The longer name sounds more poetic than simply "Snow Cone". The picture is about average, maybe slightly higher, which justifies the rating of 6. The 5-minute render time of the parameter file can be avoided by downloading the finished GIF image from: The fractal weather today was very hot, but not quite as humid as yesterday. The temperature of 99F 37C kept the fractal cats safely ensconced indoors. I see that the topic of human cloning is once again in the news. This topic always brings out the armchair philosopher in me, so look for some interesting philosophizing on the Philofractal list in a day or so. The next FOTD will appear in around 24 hours, and it will be me, not a clone, that creates it. Until then, take care, and if I met my identical clone, which one would be me? More puzzling, if a third person met both of us, how would that person tell which one was me? Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Snowcone_in_Summer { ; time=0:05:21.91--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=+0.27565152634002280/0/3.385421e+007
params=1/2/-0.156/3/0/0 float=y maxiter=1600
inside=0 logmap=169 symmetry=xaxis
colors=000P0YP0YQ0_R0aS0cT0eU0gV0iW0kX0mY0oZ0q_0s`\
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GzTIzVKzXMzZOz`PzOTzCWz0Z
}
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.