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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's grade-6 fractal is simply beyond description. So what better name could I have given it than "Indescribable Minibrot". It's a slow-to-render picture of a midget that exists in the original 'parent' fractal, in a valley of a roughly Mandel-shaped hole near the top of the fan. The midget itself is shaped exactly like all the other quadratic Minibrots, but the pattern around the midget has gone totally bonkers. The first name that came to mind when I saw the finished image was "Fractal Lima beans". The green loops in the corners certainly do look like lima beans lined up in their pods. But such a name has no class, and the FOTD at least tries to be a classy project. After 1/2 hour passed and I thought of nothing more appropriate, I decided that the picture was indescribable, and named it accordingly. The scene of today's picture is deep in a valley of its parent fractal, making the iteration count rather high and the parameter file quite slow. Unless you enjoy waiting the better part of an hour to see your fractals, run do not walk to: The fractal weather today was partly cloudy with a temperature of 82F (28C), and a deep blue sky with puffy white clouds such as one would see from a beach deep in the tropics. It would have been a perfect day for the fractal cats had a light shower not fallen in the afternoon and wet the grass. Fractal cats don't like to get their paws wet when they go outdoors. While waiting for a particularly large graphic image to print this afternoon, I somehow got into a discussion with an impatient customer about some of my more outlandish metaphysical ideas. As we conversed, it became apparent that the more I tried to explain my ideas the more confused he became. After a few minutes, he asked me whether or not I believe in science. I replied that I not only believe in it, I am absolutely certain that it exists. At this point the printer started printing, saving one of us further embarrassment. The deep philosophy is still smouldering. Keep checking -- you wouldn't want to miss the excitement when it bursts into flames. And there is a 10 percent chance that the blaze will come tomorrow, so until then, take special care, and some ideas are best kept to one's self. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Indescribable_Brot { ; time=0:48:15.13 -- SF5 on a P200
; Version 2000 Patchlevel 14
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+5.09485593926787100/+1.88233265508959000\
/108831.4/1/-75 params=-1/-11/-11/-1.1/0/800 float=y
maxiter=6000 inside=0 logmap=800 periodicity=10
colors=000733100<3>000036<2>0LS0Q_0Xf0am0gu0mz0oz0rz\
3uzCvzLyySzu`zrizorzlyzivzcsz_pzVmzQlzM<2>cz9`z4_z0`\
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GrVFrSF<3>rG9rD7rA6<2>sO7sS7uX7u`7ud7ug9<2>vp9vs9xv9\
xyA<3>yzAyzAzzDyzApz7gz6_z3Sz1<2>1z00z0Jz9Dz6
}
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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