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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: All creation is an illusion. 'Reality' is a human invention. This is especially true with the visual semi-realities we know as fractals. Rational skeptics will disagree, irrational mystics will agree, but proof or disproof is part of the illusion, so none of this will mean a thing. The big question remains, 'what is the human mind?' Today's harmless image was created by combining various negative portions of Z^(-1.5) and Z^(-5.1), and adding (1/C). I named it "Illusory Minibrot" because the image, like all fractals and indeed all math, is an artifact of the way the human mind functions. Then I studied the image for a few minutes, and after deciding that it lacks something, I rated it at an average 5. I did not concern myself with what it is that the image lacks. When I considered the running time of 6-1/2 minutes, the overall value came in at a 76, which makes running the parameter file not a total waste. There's not much more to be said about today's FOTD other than the fastest way to see and hopefully enjoy it is to download the finished image from: Bright sun and mild temperatures gave the cats an enjoyable day in the yard on Saturday. Clouds and cooler temperatures will make today less enjoyable. The good news is that the next FOTD will appear right here in less than 24 hours. Until then, take care, and fractals hold the wisdom of the ages. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
Illusory_Minibrot { ; time=0:06:33.81--SF5 on a P200
reset=2003 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-0.13020483280054180/-2.013785067982037\
00/1897110/1/-132.5/5.76382413255971393e-008
params=-1/-1.5/-0.29/-5.1/0/0 float=y maxiter=1200
inside=0 logmap=124 periodicity=10
colors=000MTMLVOKXPKYRJ_SIaUIcVHdXGfYGg_Fi`EjbEkcD\
leCmfCohBpiAqkArl9sn8uo8vq7wr6xt6yuCvvHsvMqvRnwXlw\
aiwfgxkdxpbxjhsknnmtiyzdwybux`swZqvYotWmrUkpSioRgm\
PelNfkMfiKfgIfeGggFghDgiBgkAhkCiiDhgEgeFedGdbHb`Ib\
ZJbXKcWLcUMdSOdQPePQeNRfLSfJTgHUgGVhEWhCXiAYi9ZiGV\
iNRiUNi`JigFinChoCgpCgpCfqCfrCerCesCdsCdtCcuCbuCbv\
CavCawC`xC`xC_yC_yCaqBbjBdcBeXBgQBhJBfHEdGHbFK`DNZ\
CQXBTVAWT8ZR7aP6dO5gN4hM4hL4hL3hK3hJ3hI3hI2hH2hG2i\
G1iF1iE1iD1iD0iC0iB0iB0iA4g97e8Bc7Ea7H_6LY5OW4SU3V\
S3YRCVWLT_UQdbOh`Qi_RiYTiXUiVVjUXjSYjRZjP`jOakMckL\
dkKekIgkHhlFilEklCllBnl9om8pm6rm5sm4tm8piClfFhcJd`\
M`YQXVTTRXPO_LLcHIfDFj9Cm59kAAjEAiIAgNAfRBeVBc_Bbc\
BagC_lCZpCYtCXxCWyBWzBXzBYzBZzB_zBbzBezBhzBkzBnzBq\
zBtzBwzBzzBzzBzzBzzBzzBzzBzzBzzBzzBzzCzzDzzDzzEzzF\
zzFzzGzzHzzHzzIzzJzzJzzKzzLzzLzzMzzMzzNzzOzzOzzPzz\
PzzQzzczzgzzczz_zzXzzTzzP }
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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