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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Most of today's discussion appears in the philofractal version. The image is part of the fractal that results when 0.6 part of Z^2 is subtracted from 0.6 part of Z^(-2) and (1/C) is added. The terraced effect came about when I rendered the scene with the outside set to 'tdis'. I put almost no effort into the fractal, so I gave it no name and no rating. The image renders using the passes=b option, which adds a bit of excitement to the rendering. The render time of 1-1/2 minutes is quite brief, assuring that little time will have been wasted if the image proves not worth the effort. Perhaps the best way of seeing the image is to download it from the FOTD web site at: As I was writing the longer philofractal version of yesterday's discussion, fractal lady happened to glance at the screen. She said that I was writing like an Atheist and trying to destroy people's faith. I replied that I could not possibly do a better job of destroying faith than had just been done in West Virginia by a nonsensical image of an all-good-and-powerful deity. It was but a minor victory when she nodded in agreement. But I am left to wonder. How did we in the West ever get stuck with religious philosophies so contrived that they cannot even make sense of the routine natural calamities of the physical world? And what is the alternative? We seem to be faced with a choice of deluding ourselves into peace of mind or turning to reason and finding meaningless despair! With these as choices, is it any wonder so many are seeking the artificial comfort of drugs? Despite current events, the fractal cats had a good day here at Old Fractal Central in the 50F 10C temperature on Thursday. I enjoy seeing them happy -- it saves on tuna. As for myself, I'm working myself into one of those moods that comes on whenever some big, well publicized calamity happens. But I'll work out of it by posting my thoughts to the philofractal list. The next FOTD will appear for better or worse in 24 hours. Until then, take care, and sometimes I find it difficult to maintain my positive attitude. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
FOTD_for_06-01-06 { ; time=0:01:39.75--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=b
center-mag=+0.29518114271096270/-0.275685110150650\
30/4672070/1/-97.5/1.79943609096566703e-007
params=-0.6/2/0.6/-2/0/0 float=y maxiter=280
inside=255 outside=tdis periodicity=10
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tvhtuesuastZr2L_2N`2Pa000 }
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 PARAMETER FILE=========================================
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times.
