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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: You may have noticed that yesterday's FOTD discussion was unusually terse, and the fractal not all that outstanding. The reason was that I had saved the original and far better discussion and image on a floppy disk, to transfer the files from the Fractal Central branch office to Fractal Central itself. Somehow I lost the disk during the transport, which made me very angry. So I whipped out a new image in a few minutes, wrote a few words, and found that my Mindspring ISP was down. But all that was yesterday. This is today, and after yesterday's pathetic offering, we once again crank it up with a fractal that IMO rates an 8. The formula responsible for today's image is -1Z^(-11)-11Z^(-1.1)+(1/C), a formula that draws a parent fractal that must be seen to be believed. The parent is so unusual in fact that I might devote the entire month of September to exploring it. I named today's picture "Homespun Midget" because that phrase came to mind while I was studying the image for a fitting name. Actually, I would rather simply give my fractals numbers than attach names to them. But names do add a certain individuality to a picture, and occasionally I actually surprise myself with the poetry in a few of the FOTD names. The parameter file of today's image takes 10 minutes to render on a 200mhz Pentium, 5 minutes or less on the fastest machines. The GIF file downloads in less than two minutes. The choice of which route to take to the image is up to the potential viewer. The GIF image is available on Usenet at: The fractal weather today was mostly sunny. Surprisingly, no rain fell. The temperature of 87F (30.5C) was just right for the cats. Tippy even chased a squirrel, which scampered up a tree and scolded furiously. Disappointingly, I have no fractal philosophy today. In fact, I have no philosophy of any kind. I have plenty to write about, but I just can't seem to get started. It must be a case of writer's block. Perhaps I'll get unblocked tomorrow, perhaps not. Check then to see. And even if you find no philosophy, the fractal will arrive on schedule and be worth viewing. Until then, take care, and see you soon. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Homespun_Midget { ; time=0:10:09.29 -- SF5 on a P200
; Version 2000 Patchlevel 13
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-2.87822221351368700/+4.42190092650380100\
/446376.4/1/180 params=-1/-11/-11/-1.1/0/100 float=y
maxiter=1600 inside=0 logmap=196 periodicity=10
colors=000mKlmKlmKjmKh<3>mKcmKbmK`<5>mFQmEOmDMmDLmCJ\
<3>j8Bi79h25<12>QLHPMHONI<3>ITM8WK<10>cPSeOShOT<2>qM\
VtLWwJZvLWuNU<2>tTNtWDtVG<2>pUNoUQnURmTSlST<2>iPUhOU\
gNTfMShLRjKQlJPlEO<3>nNGnQAnS9<5>pdFpfGphH<3>qqLywH<\
2>mqNpvR<8>RSKOOJLLI<3>97F20C<3>B7HD9JFAKHCLKBK<15>F\
RXESYETZ<3>DXaKC5HJGFQRDXa8bo<11>KcbLcaMc`<3>QcXRfW_\
i_XoaUi_<3>ILGFFBEHG<3>DLWDN`COdCPhCQl7Pq<15>hdikeim\
fh<3>vigmqPdvD<3>arM`qO`pQ<3>YmYXm_Xma<3>UmiTmkTmm<3\
>SmuSmwSmxSmy<6>Smz
}
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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