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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: At first glance, the formula Z+1/Z+1/C would not appear to have much potential for creating fractals. But as today's image shows, in the world of fractals, things are not always as they would appear. The formula actually creates quite an unusual fractal, filled with midgets surrounded by caterpillar-like spirals. Unable to think of an alternate name for today's fractal, and not wanting to name it "Caterpillars", I gave it the technical name "Study-01", which like "Symphony in E flat major" is nothing more than a description by which the work may be indexed. The rating of 5 reasonably represents this average-quality fractal. The 5-1/2 minute render time is a bit slow. The cure is to download the file of the already-rendered GIF image from: The fractal weather today was cloudy and cold. At nightfall a steady light rain set in, which is still continuing. The day was unpleasant enough for humans; for fractal cats it was unbearable. The cats passed the day sprawled by the warmest radiators they could find. And I'm going to pass the rest of the evening in my traditional Saturday evening routine -- watching a junky old sci-fi or horror movie on TV. I shall return tomorrow. Until then, take care, and if the universe is a great accident, who or what had the accident? Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Study_Number_One { ; time=0:05:39.33 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.26049780581950650/-0.00067297120701050\
/3.805436e+007/1/169.999 params=1/1/1/-1/-2.5/200
float=y maxiter=1400 inside=0 logmap=78 periodicity=9
colors=0000BC<2>0D70E60F30G1<3>0K00L00M0<2>1P0<3>KS0\
MS0RT0VV0_V0aW0fW0jY1n_3q_4v`6z`7za9zd6<2>zYFzVIxTLv\
RO<2>nKinIpmIwqOzwTzzfzz_zvSzpLwjDpd6ia7a_9WY9VVATTA\
SRCSOCRMDPKDOIFMHFMHHMIHMIHMKHMLHTPHTVHVWHVYH__HV_HS\
_HP_HMYIIYKFYKCYL9YM4YO1YP0YP0`R1cS7fSCiTIkVMnVSqWWt\
WawYfz_kz_pz`vzYzz`z<3>zfszap<2>zPkzLizIgzDfz9dx4aw0\
`v0_t0Y<5>t0ft0gt0it0jt0kt0mt0m<3>t0st0tt0vt0wt0xt0z\
<2>t0zp0zk4zgAxdFx`LwWPvSVtP_tLdsHiqCnp9sp4xn0zm0zn0\
zm0zk<2>0zi0zi1zg1zg1zf3zd3zd4zc4zc6za<2>7z_7z_9zY9z\
W<2>AzVHzTLzSPwRTsPVnO<2>VaKVfH<2>_sC`wAaz9cz1dx0<3>\
jv0kx1mzC<3>szptzzvzzwzzxzzzzwzzszxn<2>znazkYziTzdPz\
aLz_HzWCzT7zV4zi7zw9zzCzzD<3>zzCzzCzwC<3>zkCziCzfCzg\
FzgHziKziLziO<2>zjTzkVzkYzk_zmazmczmdzkfzjgziiziizii
}
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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