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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: As they say, hope springs eternal. And that is what happened to me yesterday as I was deciding which part of Fractal Land to explore. Moved by eternal hope, I finally decided on a different part of the same fractal that held the 'half-elephant' image which appeared on January 11. I constantly hope to find a truly outstanding midget in the Mandeloids with exponents between 1 and 2; I never have found one. But hope springs eternal, and I keep trying, apparently unable to learn from the years of coming up short. Today's image shows a very typical midget in the Z^(1.5)+C Mandeloid. As is true with almost all other midgets in this range, the area is far too broken and chaotic to make an impressive image. Maybe the truly great scenes are there, hiding somewhere in some remote corner of the parent fractal, but somehow I doubt it. But, being a hopeful fellow, I will continue searching for something that I know might not exist. Any unusual scenes I come upon in my search will appear as a FOTD. Most scenes will vanish into the limbo reserved for deleted fractal images. In all honesty, I could rate today's image no higher than a 4, which, combined with the render time of just under 12 minutes, gives an overall value of 33. There are two ways to see the image: first, by running the included parameter file; second, by downloading the completed GIF image from Paul's FOTD web site at: The dynamic duo of fractal cats had one of their best days in quite a while here at Fractal Central on Monday. When the temperature reached 46F 8C shortly after noon, they paraded to the door and asked in unison to go out. They looked almost like kittens as they romped in the dead grass and played hide-and-go-seek in the holly thicket. When evening came they were ready to come indoors to eat and sleep. Today looks like a repeat, but another cold wave is on the way, and due to arrive toward evening. Hopefully, the duo will finish romping before the cold air arrives. And also hopefully, my work will be finished before the duo ends their romp. Until next time, take care, and when, if ever, will the new anti-spam law start working? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
HopeSpringsEternal { ; time=0:11:57.49--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC1 function=floor passes=1
center-mag=-0.81193569327624530/+0.514042346538518\
10/4.870091e+007/1/25/1.19288052269350686e-007
params=1.5/0/1.5/0 float=y maxiter=1800
inside=0 logmap=326 periodicity=10
colors=000g70m60a70e90`90ZA0fC1fC3dD4cD6aF7`G9_GAX\
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zdjzfjzglzilzjmzlmzmozoozppzrpzsryuryvsxxsxyuvzuvz\
vuzvuzxszxszyrzyrzzpzzpzz }
frm:MandelbrotBC1 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(p/(2*PI))
r=real(p2)-q
Z=C=Pixel:
Z=log(Z)
IF(imag(Z)>r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z| < a }
END 20.0 PAR-FORMULA FILE==================================
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