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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: The chance of any particular midget ever being found and becoming the FOTD is at best one in a googol. It is more like one in a googolplex. Yet despite the overwhelming odds against it, today's midget has reached the loftiest height to which a Mandelbrot midget can aspire. It has become the FOTD for December 13. I have named the image "One in a Googol" in recognition of the near-impossibility of this particular midget ever having been declared 'Fractal of the Day'. I must point out however that nothing unusual or supernatural is involved in the occurrence of an event with such a slim chance of happening. This is because of the immense number of similar and equally unlikely events that might have happened. I must also comment on the 'politically-incorrect' FOTD of August 30, 2000, which once again has been mentioned. Private responses to this disgustingly obscene image, which I received from several offended individuals, convinced me to keep the FOTD family oriented, and not mention certain objects that everyone already knows exist. (I was told that I was corrupting the minds of the world's youth. I replied that I doubted I had such power, and added that if the world's youth could be so easily corrupted, saving it from corruption was already a lost cause.) I am unable to understand  however, why an image which raised such protests has had such a high hit rate. Maybe there's an already corrupted group that is not offended by this kind of stuff. And as Andrew pointed out, there is little in the image to justify the name, which means that the offensive material can exist only in the mind of the beholder. I guess it's kind of a quantum thing, with the observer creating the observed object.Of course, the name and discussion, which were written by me and which led the way to the obscenity, had a lot to do with the whole sordid affair . . . . I guess . . . .  If I didn't already have a life, I'd go out and get one.  Returning finally to today's image, we find that it rates an above-average 7, which makes it worth the 20 minutes needed to run the parameter file. Those who would rather avoid the small hassle of running the parameter file may download the completed GIF image from Paul's web site at: The fractal weather today started sunny but turned cloudy before noon, spoiling the cats' planned afternoon in the outdoor sun. Without sun the temperature of 50F 10C was just a bit too chilly for maximum comfort. I fear the fractal cats have become terribly, terribly spoiled by their easy life at Fractal Central. It's now time for me to get busy on other things, so until next time, take maximum care, and be an optimistic pessimist. It's better than being a pessimistic optimist. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
One_in_a_Googol { ; time=0:20:27.53--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+1.74496964423013400/+0.715599540402516\
60/911697.9/1/132.5/1.03316887684057335e-008
params=-10/-1.3/-1/-13/0/525 float=y
maxiter=5000 inside=0 logmap=306
center-mag=+1.74496964423013400/+0.715599540402516\
60/911697.9/1/132.499999999591125/1.37599577704206\
055e-008 params=-10/-1.3/-1/-13/0/525 float=y
maxiter=5000 inside=0 logmap=306 sound=off
colors=0000zP0zV0zZ2zc5zi6zn8zt8zv9zxBzyCxyEzzGuzH\
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ezOizKlzHpzEtzBxz9zz6zz4zz0zz0zz0zz0zz0zz0zz0zz0zz\
0zz0zzGzzGzzGzzBzzGzzKzzK
}
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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