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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: For today's fractal we take a trip to the East Valley area of the Mandelbrot set to check a midget lying deep on one of the arms of a 17-armed star of a tiny bud. While finding the midget, I had the Fractal Central radio tuned to a talk program, and the talk was all about war. Then, when the very fast image was finished, I noticed that some of the elements vaguely resemble the letter 'V'. Feeling a touch of patriotism, I named the image "V For Victory", a slogan that was popular during WWII. The magnitude of the image is right in the range where arbitrary precision math cuts in. In today's image, the slowdown is so large and the improvement so small that I included the mathtolerance command in the parameter file to force the program to use the high-speed standard math routine. Unsure of how to rate the image, and following the principle of 'when in doubt, make it average', I settled on a rating of a generic 5, though a 6 would also be reasonably close. I always tend to under-rate images in the classic M-set. They seem to come just a bit too easily. The parameter file runs in slightly over 1 minute using standard math, and in slightly under 2 hours using the slightly more accurate arbitrary precision math. Those who wish to see the most accurate rendering should remove the mathtolerance command from the parameter file and prepare for a wait. Those who can't decide which math to use should visit the W.W.Web at: The fractal weather today (Oct 12) was ideal, with blue skies, puffy clouds, and a cat-pleasing temperature of 77F 25C. More of the same is expected this afternoon. When I last checked, the Philofractal list was still down, so the philosophy will be held for at least one more day. Until next time, take care, and be up and running. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
A_Raspy_Old_Midget { ; time=0:11:41.29--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+1.77096187026955700/-2.487403802992336\
00/3.864825e+009/1/92.499/0.003
params=-5/-1.15/-0.02/-11.5/0/0 float=y
maxiter=1200 inside=0 logmap=205 periodicity=10
colors=000zSuzTrzUuzVuzWuzXuzYvzZvz_vz`vzayzbyzcyz\
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}
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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times.
