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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I named today's not quite overwhelming fractal "A New Midget". And it's true -- this particular midget has never before been seen by the eyes of man, nor by the eyes of woman, who sometimes can see more than man. Of course, we always suspected that the midget existed. We know that an infinity of midgets exist, of which exactly zero percent, or more precisely an infinitesimal percent, will ever be seen. That's one of the curious things about midgets -- an infinity of them exist -- and regardless of how many we discover, the number of undiscovered midgets is never reduced. Take for example the parent fractal of today's midget. The default appearance is a drab set of concentric circles, with a twisted midget near the right edge of the screen. A couple out-zooms will reveal that the entire fractal appears as a roughly diamond-shaped island in the middle of an infinite ocean. The default midget is seen to be a lake on an island. This midget has some unusual things happening in its East Valley area, and today's scene lies deep in this East Valley area. Undecided how to rate today's effort, I finally decided on a slightly above average 6, making the image worth the effort of downloading it from Paul's web site at: The fractal weather today was unexpectedly sunny and warm. Until the middle of the afternoon, the weather experts were forecasting that chilly clouds and rain would prevail all day. This caused them to appear a little less than expert, though the fractal cats had no complaints as they enjoyed the temperature of 61F (16C). And after another busy and confusing day, I will now enjoy an hour or so of relaxation. I'll return tomorrow around this same time with another moderately glorious fractal and a few words about the image. Until then, take care, and wait with bated, but not abated, breath. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
A_New_Midget { ; time=0:25:51.10--SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+1.57276058003352300/+0.186020729751933\
60/9.061857e+012/1.0002/-154.909/-0.094
params=-1/-1.5/100/5/-0.93/0 float=y
maxiter=3000 inside=0 periodicity=10
colors=000td_sfbrheqjhplkonnnpqmrtjprhopenocmmallZ\
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}
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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