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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: We arrived home much later than expected last evening, putting me far behind in the work. With undone work piled left of me, right of me, before me, and even behind me, I had almost no time to find a proper fractal. I did find an improper (previously discarded) fractal to act as a stand-in however. I named it "A Stand-in Fractal" accordingly. The parent fractal was produced by calculating a different critical point of the formula used for the 'Antlers' image of July 17. (Yes, a single formula can have more than one critical point.) Since I put basically no effort into the image, I could not honestly rate it higher than the lowly 3 it is stuck with. But all is not lost. With so little competition from today's image, tomorrow's is sure to be better. Adding insult to injury is the render time of 36 minutes. Luckily, the image, for what it's worth, is available on Paul's FOTD web site at: Sunday was a fine day at Fractal Central, with lots of sun and a temperature of 84F 29C. Unfortunately for the dynamic duo, no one was here to let them out to enjoy the weather, and when we finally did arrive after dark, they were sulky enough to need an extra treat. The extra treat worked, and they ended their day sleeping peacefully. Today is starting well enough, but rain is possible later this afternoon, and there is still a lot of work to finish. The fractal cats will likely be left to their own entertainment devices. The fractal human however will need nothing extra to keep boredom away. Until next FOTD, take care, and be well. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
A_Stand-in_Fractal { ; time=0:36.28.45--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix3a function=ident passes=1
center-mag=-1.01537877234625200/+0.522592098338092\
50/1.083935e+008/1/157.5/-1.99426932897192599e-005
params=1/2/0.5/3/0.333/4/0.25/5/0/0 float=y
maxiter=1200 inside=0 periodicity=10
colors=000_k6_j6_i6`h7`g7`f7`e7`d7ac8ab8aa8a`8a_8b\
Z9bY9bX9bW9bV9cUAcTAcSAcRAcQAdPBdOBdNBdMBdLBeKCeJC\
eICeHCeGCfFDfEDfDDfCDeBEfCDgDDgEDhFDhFDiGDiHDjICkJ\
CkJClKClLCmMCmNCnNBoOBoPBpQBpRBqRBqSBrTAsUAsVAtVAt\
WAuXAuYAvZ9wZ9w_9x`9xa9yb9yb9xaAw`Bv_CuZDtYEtYFsXG\
rWHqVIpUJpUKoTLnSLmRMlQNlQOkPPjOQiNRhMShMTgLUfKVeJ\
WdIXdIXeHWfHVfHUgHThGShGRiGQjGPjGOkFNlFMlFMmFLnFKn\
EJoEIpEHpEGqEFrDErDDsDCtDBtDBsECrEDqEEpFFoFGnFHmGI\
mGJlGKkGLjHLiHMhHNgIOgIPfIQeJRdJScJTbJUaKVaKV`KW_L\
XZLYYLZXL_WM`VMaVMbUNcTNdSNdROeQOfPOgPOhOPiNPjMPkL\
QlKQmJQnJQnIRmIRmIRjIQgHOdHMaHKZHKWHLWGNYGP_GMcGCf\
GIhFPhFRhFTgFVgFVgEWfEWfEWeEXeDXeDXdDXdDYdDYcCYcCY\
bCZbCZeCZhBZkB`nBcqBftBiwFlzGoxGpvGptGqrGqpGroGrmG\
skGsiHtgHueHudHvbHv`HwZHwXHxVGzTHxUHvUHtUHrUHpUInU\
IlVIkVIiVIgVJeVJcVJaWJ_WJYWKXWKVWKTWKRXKPXLNXcg8bh\
8bi7aj7`k7`l6_m6Zn5_m6_l6 }
frm:MandelbrotMix3a {; Jim Muth
z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1),
d=real(p2), f=imag(p2), g=real(p3), h=imag(p3),
j=real(p4), k=imag(p4), l=imag(p5)+100:
z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c,
|z| <=l }
END 20.0 PAR-FORMULA FILE==================================
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