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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: When I saw today's fractal, I saw the bellies of serpents -- a whole nest of serpents crawling around the central midget. The name "Serpents" came at once. But don't be put off by the name. Serpents are not totally evil. In fact, before it became a symbol of evil, (probably as a result of the bad PR it received in the Adam and Eve story,) the serpent was seen as a symbol of wisdom. The parent fractal in which today's scene exists is in the shape of a crescent with X-axis symmetry and two large buds where it intersects the X-axis. These buds are not totally quadratic, but have a trace of cubic elements in them. Today's midget lies in a spiral on the south shore of the rudimentary cubic valley of the west bud. At ground level, this area of the parent fractal is filled with holes, but the holes decrease in coverage as the fractal magnitude increases, until they ultimately fill in entirely. Today's image lies beyond the point where the holes fill in with fractal debris. (This debris looks as though it could be interesting, so I may do a bit of exploring in the rubbish before consigning the parent fractal to the limbo of my archives.) I first rated the image at a 6, then did some additional work on the color palette to raise the rating to its current 7. With a render time of exactly 12 minutes and 54 seconds, the parameter file is slow. The download from: The fractal weather today began with cloudy skies and a spritz of rain, but before noon, blue skies and bright sun appeared, raising the temperature to 75F 24C. It's been very dry here at F.C. lately, though the cats don't mind. They passed the afternoon lounging on the porch, which now that the sun is getting low, is partially shaded by the tops of the holly trees. The moving shadows did keep the cats shifting their position however. As for me, I'm going to take it reasonably easy for the rest of this Sunday, though I'll need to begin thinking about another round of philosophy before the Philofractal list loses all (or perhaps both) of its subscribers. Until next fractal, take care, and live, breathe and eat fractals -- not literally of course. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Serpents { ; time=0:12:54.00--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-1.62649121081121200/-0.002084293563031\
75/1.819965e+008/1/-45.0000022040314676/-3.7329433\
9848229129e-005 params=3/-1.4/-7.6/-14/0/300
float=y maxiter=5000 inside=0 logmap=136
periodicity=10
colors=000PzCPzKPzTRz`RziRzrTzzTzzTzzYzz`zzdzxgzpm\
zipzbtzWxzPzzIzzCzy6zy0wz4tz9qzCnzHkzKhzPezTbxP_mM\
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zVPzHPz6Pz0Pz0PzMPzNPzNPz
}
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.
