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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: The formula -0.6(Z^(-1.3))-0.006(Z^(-3))+(1/C), when calculated with an escape radius of 900, draws an hourglass-shaped figure composed of almost total chaos. Two out-zooms are needed to see the entire figure, which is a Mandeloid sitting on its nose, with the tiny hourglass lying in the center of the main bay. The figure is unusual in that the filaments extending from the buds end in rings instead of simply petering out in ever-smaller details. Today's midget lies deep within the end-ring of the main southwest filament of the main bud, which in today's fractal lies on the south shore of the main bay. I named the picture "Golden Chariot" because when I saw it, I had an immediate impression of a chariot wheel. I briefly considered a name such as "Chariot of the Gods", but a similar name has already been used in a well-known book. The image rates an 8. The rating might be a bit liberal, but it's a strange scene in a fractal with even stranger scenes. I'll present some of these other scenes in the next few FOTD's, the first of which will be tomorrow's. A good feature of today's image is that it renders in only 3-1/2 minutes. In an hour or so, the image may also be seen by visiting the web sites of Paul and Scott. The URL's of those sites are: The fractal weather, which everyone is waiting for with bated breath, was average today. The partly cloudy skies were partly sunny during the daylight hours and partly starry after dark. The temperature of 80F (26.5C) was average, and the fractal cats had an average day on the porch and in the yard. And it's the start of another average day for me. I've got about the average amount of work to finish before I can relax and turn to tomorrow's FOTD, which if all goes well, will be far above average. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Golden_Chariot { ; time=0:03:30.04--SF5 on a p200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+7.63095735774279/-41.9285774906314/3.1\
96408e+008/1/162.5 params=-0.6/-1.3/-0.006/-3/0/800
float=y maxiter=380 inside=0
logmap=65 periodicity=10
colors=000045D45I45N45Q49V6GYCLbHSgMYkRdpVks`pxevz\
jzzozztzztzztzzpzwpmpjviepdZiYPb0PYlXTseOwjJzmEzr9\
zw5zw5zw5zw5zw9trEloLbkQffWgcai`gkVllSsnPx_NzLMz6K\
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wkzwkzwizwizwizwizwgzwgzwgzwgzwfzwfzwfzwfzwdzwdzwd\
zwdzwbzwbzwbzwbzwazwazwazwazwkzwizwizwixwixwixwixw\
iwwiwwiwwitwitwitwitwiR45
}
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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