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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Sometimes you can't find a decent fractal for trying. Today I had lots of spare time to search for a truly outstanding fractal. I would find a 9 at least, or perhaps that most elusive of all fractals, a 10. Filled with high hopes, I tweaked the real(p1) parameter of the parent fractal version 2 and began my search. Oh how I searched, but every trail led to a dead end. Every symmetrical arrangement of elements bottomed out without reaching a midget. Unwilling to admit defeat and resort to my stockpile of old images, I searched on. After an hour I admitted defeat and settled for the bland midget in today's scene. I had failed, and my failure would be made public for all the world to see. I gave the picture a cursory coloring, named it "The Great Failure", and rated it a nearly-worthless 1. Not much can be said about the poor bedraggled waif of a midget, which is as mundane as the midgets I found the first day I worked with fractals those 12 or so years ago. Its pattern is obviously that of midgets that lie in the east valley area of larger midgets. We've all seen this kind of midget a thousand times. The splotchy colors are flat, muddy and uninspired. I tried outlining the most obvious feature, but that made no improvement. Those who would like to see my failure may do so by running the parameter file and waiting 5 minutes, or by picking up the GIF image file from Usenet at: The fractal weather today was very humid and mostly cloudy. A heavy thunder-shower in the afternoon kept the cats in hiding, but stopped just short of flooding the fractal basement. Due to the extreme humidity, the temperature of 84F (29C) felt more like 95F (35C). And due to my foul mood over being unable to find a decent fractal, I did nothing at all on my long philosophical article, which one of these days will appear. But I did post a couple responses to articles that had appeared earlier on the Philofractal list, which has been unusually active lately, though not quite as much on the topic of fractal philosophy as one might wish. Well, I've had it for one day. It's 10:50pm and Doctor Who is coming on the telly in 40 minutes. That gives me just enough time to wrap things up, feed the fractal cats, and settle in my favorite chair for a good doze. Until tomorrow, when I'll return with a better fractal, take care, and when you're at the bottom, there's only one way to go. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
The_Great_Failure { ; time=0:05:16.22 -- SF5 on a P200
; Version 2000 Patchlevel 15
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.8523111874092163/+0.0673692947534122/5\
.687961e+007/1/-62.5 params=-10/-11/-11/-1.08/0/10000
float=y maxiter=600 inside=0 logmap=92 periodicity=10
colors=000ncVkcUH_RecU<5>ObSLaRIaR<3>7aQ<14>ZpY_qZar\
Z<3>hu`I7CK4JM1PHJG1Z0<3>iaT<24>HrBGsBFsA<2>Cu8Bv79x\
6<15>AcKAbLAaM<3>AXP<6>W_b__db`f<3>nanxfo<3>YNrRIsLD\
tE8u45v<13>S1qU1qW1q<3>a0p<3>TOsRUtO_uMeuKkvIqwE6CFX\
_Gvw<2>dD3<3>jgNkoSlvW<3>VdaR`cNXd<2>AKh<3>6cb5g`4l_\
<2>2zW<24>VMEWKDXJC<3>`C9Z68<3>iOAkTAnXApaBseBxjC<13\
>Wg5Ug4Sf4<3>Kf2Jg1If2<10>CdC
}
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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