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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: As the lateness of this FOTD shows, due to another day of nonproductive trial-and-error, I had little time for fractal fun. But I am closing in on the cause of my inability to connect my FOTD machine to my Mindspring provider. I strongly suspect an incompatibility between only Mindspring and only that particular modem. I'll discuss this tomorrow with tech support, and give Mindspring another chance to solve the problem. If they can't tell me how to get my FOTD machine to connect, I'll probably sign up with a provider that I *can* connect to. Today's image features one of those ghost scenes, which consist of all trapped points, all inside lake water that has been left behind after the landscape evaporated. In this image it took a zmag inside fill to bring out the ethereal remnants of the land that has sunk beneath the water. The land has vanished beneath the surface because the escape radius has been raised to 499,900. Lowering the imag(p3) parameter will eventually cause the land to rise to the surface. I named the image "Black and White" when I noticed the two contrasting ghost-buds, one an empty black, the other a luminous green. Behind the buds, ghostly debris fills the sky, and in this debris lie many Mandelbrot midgets, waiting to be brought to life. I rated the picture a 4, mostly because the color lacks harmony. But it's still an interesting image to look at. The iterated expression is nothing more than a mixture of Z and 1/Z, a combination that promises little but delivers much. The calculation takes a full hour on a P200. For relief, the GIF file of the image will be posted to Usenet in about 3 hours, as soon as I arrive at Fractal Central Auxiliary and the machine that does connect. Check for it then on the binary newsgroup: The fractal weather was mostly sunny with a temperature of 44F (6.5C), which was the mildest in several weeks. The fine afternoon lured the fractal cats outdoors for a 1/2 hour romp in the yard. That's it for this morning. But I'll return in about 14 hours with another glorious fractal and a few words about it. Until then, take care, and don't let a late FOTD spoil your day. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Black_and_White { ; time=0:59:31.06 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=t
center-mag=-12.2367/-11.4115/1.34604/1/-90
params=1/1/1/-1/-1.075/500000 float=y maxiter=2500
inside=zmag logmap=yes periodicity=10
colors=000ZCV<15>RHeQHfQHg<2>OIiOIiNJh<46>HoWHpWHqW<\
2>HsVHsVIrW<24>NemNdnOdo<3>ObqYKlg1h<35>PfcOgcOhc<3>\
Mlc<3>Yle`leclf<3>nlg<34>CEEBDEACD9BC8AB79A57B<28>Yo\
AZqA_rA<3>bxA<15>ggM
}
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.
