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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I named today's fractal picture "An Alien Minibrot". This name seemed appropriate when I noticed that the irregular debris surrounding the central midget is unlike anything I have previously come upon. The fractal expression that drew the image is -24Z^(-1.2)-24Z^(-2.25)+(1/C). The image was calculated by the MandelbrotMix4 formula, which automatically initializes Z to a critical point of the expression being calculated. Due to an unexpected rush of work this afternoon, I lacked the time to give the picture the coloring it deserves, but the present palette serves rather well to illustrate the strange features of this image, which I rate as a slightly optimistic 6. At 8 minutes, the parameter file is a bit too slow to be efficient. Downloading the GIF image from: The fractal weather today was partly cloudy, with a temperature of 80F (26.5C), which was perfect for the cats, who spent several hours on the porch, watching the squirrels climbing and leaping through the trees. Due to all the work, the philosophy suffered a setback today, but it is once again beginning to stir, and in a week or so will be ready for presentation to the eagerly waiting world. For now however it's time to shut down the fractal shoppe, shut my mouth, make the cats happy (if possible), and call it a night. Until next time, take care, and a fractal snack twice a day is a great way to lose weight. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
An_Alien_Minibrot { ; time=0:08:21.12 -- SF5 on a p200
; Version 2000 Patchlevel 9
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.93186802551191930/+0.07378165486547222\
/471014/1/22.499 params=1/-1.2/1/-2.25/-25/0 float=y
maxiter=1500 inside=0 logmap=131 periodicity=10
colors=000A2IA3IA2J<2>A4MA4NA3OA2P<2>A4SA4TA6U<10>AH\
eAIfAJg<2>AMjANk8Ko<3>FWjHZiI`h<3>PldQnozmckmzoVzAAc\
RDUF5UEBFEHUENFDcGDYGDnGCiHcwHzwImzHEwHGpH<4>OeHQbGS\
`G<3>ZSGzQGza0zOGw9_wBWwAUwCSeDR<6>ZMJYOIXPH<3>TUD<2\
>R_JQaLQbLQcM<3>`ZHcXFeWEhVDjUC<2>SgPMkTEz`<3>MJON9L\
UKQ<2>kob<9>LqTJrSGrR<3>6rO<3>8nH8mG8lE9kD9jB5t89jAC\
aBFTCHA3<3>LkeMtnLsm<4>LojKojKni<3>KkgAsnKkgTcaaWVmL\
O<8>ScWPeXNgY<3>Doa4wZ<3>T`h_VkePmkJpsBu<6>fUcdX`b_Z\
`aWZdUXgRWhPZi8<6>XpOXqQXrT<3>Xv`YwbYxcZyd<6>azmbznb\
zo<3>dzt<3>HzdAz_Bz`<9>Kzg
}
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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