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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I have no idea why I named today's fractal image "Seaweed". The word just came into my head and wouldn't go away. I guess the green highlights do look a bit like a mass of kelp seen from a distance, though kelp is more brown than green. Regardless of the reason, the name of the FOTD is "Seaweed" and will remain so for all time. The whimsical expression -0.1Z^(-11)-1.1Z^(-0.9)+(1/C) was iterated by the MandelbrotMix4 formula to produce the image. In its original form, little but a skeletal outline of features was visible, so I redid the scene with the inside fill set to atan to add solidity. Despite my best efforts, the image rates no better than a 5, which is average and marginally worth the almost 17 minutes required to run the parameter file. A far better way to view the scene is to download the GIF file of the image from the Usenet group: The fractal weather was once again perfect today here at Fractal Central, with sunny skies and a temperature of 76F (24.5C), which pleased the cats. The cats showed their approval by staying securely within the bounds of their own yard, chasing only an occasional monarch butterfly. My philosophical ponderings about life and death are taking shape. Unfortunately, I have so much to say that, in view of some past experiences, I'm a bit hesitant about posting it. After all, life and death is not the most pleasant topic to discuss on a list that I try to keep light and casual. But we'll give it a go in a day or so, and see what happens. The clock tells me it's exactly 9pm; my stomach tells me it's time for a sandwich; the cats tell me it's time for their tuna. Add all this together and it must be time to shut down the fractal shoppe for another day. Until next time, take care, and whatever happened to Xylen, leader of the Philofractal list? Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Seaweed { ; time=0:16:48.54 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-1.29310692525035/-5.11258097558134/89623\
9.2/1/57.5 params=1/-11/11/-0.9/-1.1/2000 float=y
maxiter=1600 inside=atan logmap=yes periodicity=10
colors=000kD7hwG<3>iXcNNF<2>vUrhSq0000005Nn6Lo0008Hq\
<2>ABs<3>QcsPmaOwLUZVZBcVBbRCaNC`<3>18h<3>1P`1TZ1XX1\
`W<3>ZNRgKQoHPwEO<3>bBfYAjT9oO9s<3>bmA<3>8fN1eQDYR<2\
>iDU<3>R5PyS7c9z<3>PUdLZZHcUEhP<3>ewBkz8blJ<2>C8o<3>\
44CK0NKJA`YIqlPZ1MVGYSVhPrx3EM<2>l2P<3>s6Lu7Kv8JTqm<\
3>MShKLgJFfH8eG2d<3>7`c5ic3qc<3>jy6<3>gf`gbhfYpfUw<3\
>Y0k<3>fIsiMukRwmVyoZzKts<3>S`pUWoWRnYMmZIm<3>N`aKdZ\
HiWEmTBeY8Yb<3>VcP000feJkfG<2>cLW<3>oqzdj_hh`lgae9l<\
4>jEqj7qh9o<3>`GjcQieahhjfjsilzk<2>VeuPZxH`kAaZ3bN<3\
>LpQPtQTwRXzR<2>wza<3>NzFEzAGzDHzFJzHKzJ<3>HzA<3>Nz8\
Oz8Qz7Rz7Sz7<3>7zt<6>Wzxbzliz`hzW
}
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.
