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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image is named "The Wheel of Eternity". I was in a kind of mystical mood when I searched for a name, and this is what I came up with. And why not get mystical with fractals? After all, almost anything seems to be considered true by someone somewhere in today's world, where those who have actually experienced the preternatural know that it does exist, and skeptics, who are solidly grounded in physical reality, know that it does not. Since I have yet to decide whether fractals are real, un-real, or somewhere in between, I have no comment at this time on the preternatural. (I might have a comment in the not-too-distant future however.) One thing in-between is today's image. Though it is worth about a 6, I actually rated it at a 6.5. The extra half-point is to reward myself for the minimum of extra effort I put into the coloring. I am sometimes asked why I post so many images of Minibrots. The answer is that this is the infinitesimal part of the infinite world of fractals that I have chosen to concentrate on, and learn as much as possible about. When working with fractals, one can know either a little about a lot or a lot about a little. I have made the latter choice. The parent fractal was created when I subtracted Z^(1.1) from 10 parts of Z^(-1.1) and then added C, while increasing the escape radius to 625. This parent fractal lies totally off the default screen, making a couple outzooms necessary before it comes into view. It consists of a distorted Mandeloid, shaped somewhat like a dumbbell, with a period-2 bud larger than its main bay, and a smaller, half-obscured Mandeloid some distance southwest. Today's scene is located in what appears to be a kind of East Valley of this smaller Mandeloid. With its calculation time of 1-1/4 minutes, today's image is blessedly fast. But the minor chore of setting up and running the included parameter file is still there. This minor task may be avoided however by going to the FOTD web site at: With partly cloudy skies and a temperature of 73F 23C, Monday was rather pleasant here at Fractal Central. The fractal cats must have agreed, for they spent a good part of the day sleeping. My day was average busy. If all goes well, tomorrow will be a repeat. The next FOTD will appear in 24 hours. Until then, take care, and beware. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
TheWheelOfEternity { ; time=0:01:16.85-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=ident passes=1
center-mag=-6.964125413119925/+5.786985493853145/2\
.118189e+009/1/-103/0.0131289825157970344 inside=0
params=-1/1.1/10/-1.1/0/525/0/0 float=y logmap=112
maxiter=1600 periodicity=10
colors=000KISNLWRO_VSbZVfaYjeamidqlgtmhuniuoivpjvq\
kwrkwrnxspxtsyuryvwzwxzzzzjkzYgzLczN_zPXmRUdTRYVOH\
WL8cH4jD1pOGvYVzgzzdiu`fzYcuVXvSUsPRpLPoIMmFJkCGj9\
Di6Aj38g6Bd9EaBHZEKVHNSJQOMTKPWGRZCUa8Xd5ZgNdTciEz\
n0zo3zp5zq7zq9zrBzsDqtGqtIquKpvMpwOpwQkrPfnObjOYfN\
UbMPZMLVLGRKCNKASH8XE7aB5f83k52p26n4Am5Ek6Ij7Lh8Pg\
ATeBXdC`bDcaEfYFiVFlSFoOGrLGuIGxFGvKFtPEsUDqZCocCn\
hBlmAjr9iv9RrV8op8opzzzUIQdHaR76nHmmLklPjkThkXgkQd\
kKakEZk8XeJT`TPVcLQmIJiYDemCZfCS_CLTBEMB7FB18C4IC6\
RD8_DBhEDqEFzPPw_Zuimujhskdqk`olWmmSkqJnmOjiSfeWba\
`ZYdVOoGUhSS`oZacwXXdaTMfP4jL9dNEcOJePOgQTiRYkSbmT\
goU_pRTqOLrLEsI3tF7uGBvHFwHJxINyJRzJVzKVzQYzK_zKaz\
PczUezZkzcpzhuzmzzrezvLzzqzz1zz4zz6zz8zzBzzDzzFzz9\
zz4zz8zzBzzFzzIzzNzzSzzXzzazzpzzezz2zz4zz5zz7zz6zz\
8zz9zzAzzBzzCzzEzzFzzGzzIzzJzzKzzPzzTzzYzzazzezz_z\
zUzzPzzJzzEzzJzzNzzCzzGzz }
frm:MandAutoCritInZ {; 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)+(p4)),
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }
END PARAMETER FILE=========================================
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times.
