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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I had a low energy day today, doing little but lounging around most of the day. But I did manage to muster the energy to find and shape up a striking little fractal scene. Today's fractal image reminded me at once of a flaming chariot wheel, so I named it "Mandelbrot's Chariot". The fiery picture is a scene in the fractal that results from the iteration of the expression -15Z^(-1.5)-1.5Z^(-15)+(1/C). The slightly above average rating of 6 is honestly earned. Requiring only 1 minute to render, the parameter file is fast enough for the most impatient fractalier. But if one minute is still too slow, the pre-rendered GIF image is available on Usenet at: The fractal weather today here at Fractal Central was partly cloudy, with 55F (13C) as a high temperature. These conditions were a bit chilly for the fractal cats, who cut short their several tentative outings into the yard. I had a good philosophical article about reality all composed and ready to post today. But when I gave it one final reading, I realized that I had introduced not one new idea in the entire bombastic article. As a result, the article has been consigned to a floppy disk in my archives, where it will most likely be forgotten along with the hundreds of other articles that were never made public. Perhaps, due to my rather depressed state of mind, I discarded it a bit too quickly, but what's done is done. Reality is whatever one is experiencing at the time, dreams and hallucinations included. Reality can't be pinned down and rigidly defined because it constantly changes. That's the way I see it. I can't prove it. No one can disprove it. And these are my final words on the overworked topic of reality. I'll have more of my speculative pseudo-philosophy when I have something new to say. Until then, the philosophy will be about fractals, a topic I seem to have drifted away from over the past year or so. Until tomorrow, when I'll post my first and perhaps last fractal that rates a perfect 10, take care, and keep posted. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
MandelbrotsChariot { ; time=0:01:07.12 -- SF5 on a p200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-0.49964435592604780/+1.59518857437319200\
/1.75916e+011/1/-109.997/-0.004
params=-15/-1.5/-1.5/-15/0/525 float=y
maxiter=275 inside=0 logmap=19 periodicity=10
colors=000F0AF0AL0CK1EP2GU3IY4Ib5FgGFtPKzRKzSKziKzfK\
zrZzzczzWzrOzcGzU8zK1z60z00w23r56m79h7E<2>g8Sf8XhFP<\
2>o_2<3>hP6fM7dK8bH9aFA<3>mVgpZps_x<3>wgkxihykeymb<4\
>jwY<2>azW<3>bzsbzy_zw<3>Ozo<3>TziVzgWzfXzdYzc<3>LzL\
IzGFzCCz79z3<4>bz8<2>tzB<3>bzYYzcUziPzoLzt<3>jzhqzew\
zcszF<3>RzSKzVDzY5z05z05z05ze5z05zejz0jzejz0jzeQzLQz\
zQzLQzzzzLzzzzzLzzz5z0Az5<3>MzHPzKTzO<3>hzcmzhrzmxzs\
zzz5zz<2>ozzzzz<3>zz0<3>zz0oz0<2>5z0<3>5zz<2>5zz_zz<\
2>wzzzzz<3>zzV<3>zzVwzV<2>_zV<3>_zz<2>_zzmzz<2>zzzzz\
z<3>zzh<4>zzh<2>mzh<3>mzz<2>mzz5zS<3>XzS<3>Xz0<3>Xz0\
<3>5z0<3>5zS<2>5zSJzShzw<3>RzW
}
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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