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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Fractals seem to become more interesting when they remind us of the familiar objects in the everyday world around us. The grossly distorted bud in today's image reminds me of a rubber duck, so to make the picture more interesting, I named it "Rubber Duckie". The iterated formula that created the duckie is 0.1Z^(2)+10Z^(0.01)+(1/C), another whimsical expression that does more than would be suspected at first glance. There are midgets throughout the scene, but none of them are as interesting as the overall view. I might dive down to retrieve one of these midgets in a future C-FOTD -- but more likely not. With a draw time of over 20 minutes, the image is a slow one when rendered from the parameter file. The GIF image file downloads much faster from the Usenet group: The fractal weather has become more wintry, with scudding clouds, a temperature of 44F (6C), and a brisk north wind. All of this combined to keep the cats snug indoors. I'm once again sorry to disappoint the philosophy fans, but I could find no energy to philosophize today, and hardly enough energy to write the fractal notes. I have no idea where all the inspiration went -- maybe I've said all I have to say. Philosophy or not however, I'll have a respectable fractal tomorrow, and hopefully more than a few words about it. Until then, take care, and I've never seen a real fractal. I've seen only pictures of fractals. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Rubber_Duckie { ; time=0:20:21.71 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=t
center-mag=-0.14339162803227790/+0.05074515329321132\
/217.5941/1/-52.499 params=1/2/100/0.01/-0.9/400
float=y maxiter=12000 inside=0 logmap=11 periodicity=9
colors=000JAQ<6>JBZKB`JBa<3>KCfKChLDi<17>HGpHGqGHq<2\
>GHrGHrHJs<35>KrvKsvKtv<3>Kxv<22>TQuUPuUNu<2>VJuVIuX\
Kt<9>mXtnZtp_t<3>vdt<17>ldtkdtkdt<2>idthdthbt<3>`RlZ\
OjS8`<9>NFgNFgMGh<2>LIjLIjNJi<12>_Ki`KiaKi<3>eKi<4>T\
`RRcOPgK<3>Ft5DwPIyUNzZ<4>kzhpzjuzl<3>qztpzvpzxozz<3\
0>Qzz
}
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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