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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Life is filled with disappointments. I still remember the disappointment I felt as a child, when I discovered that professional wrestling is a performing art rather than a competitive sport. I felt the same disappointment when I realized that baseball is more about making money than having fun playing a game. I never really believed in the Easter bunny or Santa Claus, but I did believe Ripley. Perhaps the biggest let-down of all came when I realized that some of Ripley's impossible "Believe it or Not" wonders were in fact untrue. All these let-downs were justified in the late 1980's however, when I discovered fractals. Life has never been the same since. Today's slightly above average fractal image reminds me of a golden chrysanthemum, so that's what I named it. The image is actually a scene lying in the suburbs of a larger midget, which is located near a still larger midget, which lies north and west of an indescribable parent. The scene is disconnected from its parent. This disconnection is reflected in the golden rings surrounding the midget, which form concentric circles in no way joined to each other or to the midget they surround. The whole assemblage resembles a flower such as a chrysanthemum or aster, and makes a pleasant enough picture to rate a 6. The parameter file runs in three minutes; the completed GIF image downloads from: The weather Thursday here at Fractal Central was once again summer-like, with blue skies, gentle breezes, and a temperature of 73F 23C. Cats of the fractal variety enjoy such conditions, and Thomas and Tippy are no exception. The dynamic duo passed the afternoon sleeping in their chairs on the porch, opening their eyes occasionally to be sure that no unwanted cats were intruding. Since it's the last day of the work week and there's still work to be done, I had best get busy. But I'll return with more goodies in 24 hours. Until then, take care, and accentuate the fractal positive. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Gold_Chrysanthemum { ; time=0:03:18.50--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-0.47904926844684050/+2.689928561895989\
00/7.255801e+011/1/45.0104028392414861/-0.01121875\
11152195482 params=1/-12.5/10/-1.25/0/525 float=y
maxiter=550 inside=0 logmap=63
colors=00087aA8`BBZDDYEGWGHVHKTILRKOQLQONTNOVLQYKR\
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QdzNjzIpzEDzrHztLztOztTzt
}
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.
