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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I goofed on today's fractal. Today's fractal lays an egg. It goes over like a lead balloon. It even has a leaden color around the midget. I therefore had no choice but to name it "The Lead Egg", a title that also belongs to a short story I started but never finished a few years ago about a man who gets snatched into the fourth dimension, wanders about a bit, and returns to 3-D space as his antimatter mirror image moving backward in time. I goofed by neglecting to set the maxiter to a high enough value to fully reveal the central midget. I checked sure enough, and found that a maxiter of 2700 is sufficient, but then I forgot to reset the maxiter of the image as I started it on its final render and went about other things. As a result, we have a midget that at a maxiter of 1800 is only half there. Of course, in a world where scientists deal with virtual particles that are only half there, this is not necessarily a fatal flaw. The image would have rated a solid 6 if the midget had been fully defined. But even without a perfect midget, it's still a respectable image. I decided to rate it a 6 despite the flaw. I included a question mark in the rating because I'm not sure the rating is justified. The picture is another scene in the "Parent" fractal, one of the most prolific producers of unusual midgets I have yet found. The image is located in the 'fan' of its parent, somewhat toward the edge of the fan, where the fan starts to erode. And speaking of the 'parent' fractal, I have made a print of it and hung it on my bulletin board, where I can glance over at it often, and spot likely areas for investigation while I'm involved in other matters, such as work. Today's picture is on the slow side, so don't hesitate to go to: The fractal weather today was cloudy and muggy, but with no rain. The temperature of 84F (29C) was superb. I have no idea why the fractal cats decided to remain indoors. Maybe the wasp nest under the porch roof spooked them. But I have a very good idea why I'm about to shut down the fractal shoppe and call it a fractal night -- that's what it is. The philosophy is still brewing, so don't give up hope. Until tomorrow, take care, and I never finished that story because I could think of no resolution to the temporal paradoxes I had introduced. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
The_Lead_Egg { ; time=0:33:28.90 -- SF5 on a P200
; Version 2000 Patchlevel 14
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+1.27724387176778300/+2.72426216725098000\
/1.751895e+007/1/-37.5 params=-1/-11/-11/-1.1/0/800
float=y maxiter=1800 inside=0 logmap=394 periodicity=9
colors=000QF7QF7R88SAAUDBVEDXHE<2>_MFaOFbQHcSHeUHfXH\
fYIeZIc_IcaJbbIbcIabIa_IaZH_YH_XH_UHZSHZRFYQFYNF<2>X\
JEXHEVFEVEEVDEUEDSEBREAQEAOE8NE7MF6KF6JF4<2>FF2<2>V7\
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qISrJRrJOsKMuMJuMI<3>oXJnZJmaJkcJjfJigJ<3>crJbuJawJ_\
zJUzH<3>jzOnyQvzSryRnsQjnOgiNcbN_YMYSKUNJQIIMBIJ6HM0\
FR0EX0E_0Bb08e8Fg6Dj3Am28i76eD3aI2YN0<3>Ig0ijBqgHseR\
jZOYRMKKJ8EHDHJFIMIJNMLSNMRPNTSQVVRYYS__UabXc<3>mako\
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f0fz2iz6jzAkzDmzHnzJ<3>szXuz_vzbwzfyzizzmzzo<3>kyugy\
vewvawwYwy<2>Nvz<2>OuzOuzQsyQsyQsyRsw<3>SrvSqvUquUqu\
Uru<2>YvyZwz_yzazzbzzezzfzz
}
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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