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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I had hoped to have a fractal that rated an 8 for today, but alas, such lofty images are difficult to find, and I lacked the time to do a proper search. Forced by circumstances beyond my control to substitute an fractal of lesser quality, I settled on today's image. Today's fractal features a midget. This is nothing unusual, since nearly all my fractals feature midgets. This particular midget is found in the fractal that results when the expression -Z^(-13)-10Z^(-1.3)+1/C is iterated. It's a fairly routine midget, lying in an area that at first appears non-critical. The fractal detail surrounding the midget is lively enough, but it just doesn't make a pleasing impression. The colors are brilliant enough, but seem haphazard, and lack an organized theme. As a result of these deficiencies, I have rated the picture a lowly 4. I named the picture "Infinite Regress", though this name would seem more appropriate for one of those endless spirals. Taking 11 minutes to render, the parameter file tries one's patience. But immediate relief in the form of the already-rendered GIF image file is waiting on Usenet at the binary group: The fractal weather today here at Fractal Central was rainy in the morning, followed by clearing in the afternoon, with a temperature of 55F (13C) that was fair enough. But the wet grass kept the dynamic duo of cats confined to the porch. It appears that fractal cats don't like to get their paws wet. No philosophical inspiration has yet appeared. I'll see what happens tomorrow. Until then, take care, and cheer up with a fractal. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Infinite_Regress { ; time=0:11:05.96 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+1.90721041666091600/-0.77564195590960320\
/3.996636e+007/1/-97.5 params=10/-1.3/1/-13/-2/100
float=y maxiter=2000 inside=0 logmap=212 periodicity=9
colors=000U2fU2bN2YG2SG2OD2JD2FA29A25720720020022035\
05705A05D25G35J55L73O93RA3UD3XF3ZG3aJ3dK3fL3iG0rN3lS\
9fYFabJYhOSwUNsYJzbDzh7zm1zl3zi6zf7zbAz`CzYFzUGzRJyO\
LwKNvHPtFRsAUr7Vp5Yt0Zo2Zi6VeCR`GNVLJOU0RPFULdXJzVKy\
ULtSLrRNmPNkOOfNOdLP`LPYKRUJRRHSNGSKFUGDUDCV97S5CV6F\
Z7Hb7Kf9Nk9PoASsCVwCYzDZzC`zD`zD`yF<3>`lH`iH`eJ`bJ``\
J`XK`UK`PL`NL`KN<3>`6P`3Pa0R`1P`3OZ6NZ9LZCKYDJ<2>XLF\
XODVRCVSAUV9UY7U`6Sb5Se3Uh0Sf2<3>NdHLdLLdOKbSJbXHa`G\
abGaf<3>ffrmhtpiwskzrkzpkzpkzolzmlzllzllzklzimzhmzhm\
zfmzemzdozdozbozaoz`oz`pz<2>XpzZtz<2>UhzSdzP`zOXz<3>\
HGzGCzF7zD5zC7yA9v9As7Cr6Fo5Gl3Hk3Jh2Le1Nd0Oa0PZ0SY0\
UV0VS0XR2YU9ZXG`ZGa`GbbGdeGefGfiGhlGimGkfGla9mX7oX<3\
>6tX6vX6wX5yX5zX5zX5zX<4>DzPFzOHzNJzLKzKLzJNzHOzGRzF\
<3>Xz9Yz7`z6<3>ez1fz0ez3ez71zp0zl
}
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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times.
