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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I like today's fractal. I like it enough to have considered giving it a rating of 9, but a second appraisal convinced me that it is honestly worthy of a lesser but still outstanding rating of 8. The bands in the purple areas are just a bit too obvious. With more time I could have done better. (Those 9's are indeed difficult to come by, and those 10's happen only a few times in a lifetime.) The iterated formula Z^(-0.5)+10Z^(-10)+(1/C) that produced the image draws a many-lobed figure, somewhat too large for the default screen, with a double-lobed bay at the east end. The scene of today's FOTD lies deep in the shoreline of that bay. The parameter file is another slow one, rendering in just under 12 minutes on a Pentium 200mhz. The GIF image with its data intact has been posted to: The fractal weather was quite warm today, with a temperature of 89F (31.5C) that the cats found enjoyable. The perfection was marred slightly by a light shower in the afternoon, but it was not enough to dampen the cats' enthusiasm. The philosophy floundered and foundered as I tried to determine the meaning of life. I decided that the meaning of life is to find fractals, but then I started wondering about the meaning of searching for fractals. About that time a customer called on line number 2 and I had more important things to attend to. I might tackle the meaning of life question tomorrow, but it's still only about a 10 percent chance. I'll have another glorious fractal for certain however, so check back then to be amazed, delighted, entertained, and lots of other enjoyable things. Until tomorrow, take care, and cherish your day. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Destiny { ; time=0:11:42.17 -- SF5 on a P200
; Version 2000 Patchlevel 9
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+1.69908857211162900/+0.00706571833280151\
/7.96032e+009/1/82.5 params=1/-0.5/10/-10/0/0 float=y
maxiter=1350 inside=0 logmap=225 periodicity=10
colors=000zYAzYCzWDxUEsRFnOGjNHfLIaIKVGLNEMGDN9CO009\
49975F98HC4KE0IG5LH0OK0RN0VQ0XU0`W1cY2ea4id5kh6pj7rn\
8vq9xs8zsAzrDzqEzpGznHzmKxkMxjNwiQwhRwfUveWvdXvc_ua`\
u`cs_dsYfsXirWjrVmrUnq<2>QupOwpNxsMzvMzxQzxSzz<3>azz\
dzzfzzhzzizzizzixziwzjuzjrxjqwjnvjkukjskhrkerkdrkarm\
_qmYqkWqjUqjSpiQphNnfMkeKieHedGicEfdCcc9YfAajA_nCdqC\
auC_xDdzDazA_zD`zF`zG`zIazLazMazOazQcxScwVc<2>v_duad\
sdeseerherieujfvkhuhdueauc_u`XsYVsWSsSQ<2>rLIrIGrGEq\
ECqA9<2>p42p10p00<2>q10r42r65r77s99sCAsEDuGFuHHuKKvM\
MvON<3>wXXx__x`axcczeezhhzijzkmznpzqq<2>zwxzzzzzzzzz\
zzzxzzvzzuxz<2>nvzkuziszhrzerz<2>_nzXmzWkzUkzRjzQizN\
hzLfzKfzIhzIhzIiwIivIisHjqHjnHkmHkjHkhHmf<2>Gn_GnYGp\
WGpUFpRFqQFqNFqLFrKFrHEsFEsDEsCEu9Eu7Cv5Eu6Fu6Gu7Hs7\
<3>Mr9NrAOrAQqCRqCUqD<2>XpEYpF_nF`nGanGcpF<2>fpF
}
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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