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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: That time of the year is fast approaching when we turn our thoughts to the supernatural world of witches, vampires, mummies, wolf-men, ghosts, and monsters of various and sundry appearances. Of course, we know that these things are mere entertaining distractions, and fun for children. They certainly do not actually exist -- well, after seeing today's picture, I should change that statement to they *almost* certainly do not exist. Today's fractal image is a serendipitous discovery. I zoomed in on the wrong area by mistake, but my mistake turned out to be no mistake, for there in an area I would never have suspected of harboring a midget, I found today's image. After a few minutes of coloring the picture, I settled on the present palette. I studied the image for several more minutes before recognizing the spooky aura to the scene. Those dark sharp-angled shapes floating around the midget could be vampire bats out for a quick snack. Or the shapes could be a group of less-sinister bats flitting before the midget, which could well be a full moon. Regardless, I named the picture "A Fractal Gone Batty". The parameter file renders in a slow 14-1/2 minutes. Since the GIF image file downloads in only one minute, I strongly recommend going to Usenet at: The fractal weather today was cloudy, with just enough rain to dampen the grass. The wet grass, along with a temperature of 59F (15C), confined the fractal cats to the indoors, where they managed to pass the day sleeping. I've still got the fractal philosophy on hold, while I work up the energy for a major eruption. But before I philosophize, I must decide exactly what fractal philosophy is. I'll have at least 24 hours to make that decision. Until next time, which by a rare coincidence will be in 24 hours, take care, and why do we enjoy fractals? Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
A_FractalGoneBatty { ; time=0:14:32.72 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+3.71720703183797900/+2.40733321225409000\
/204985.2/1/125 params=-1.11/-11.1/-11.1/-1.11/0/300
float=y maxiter=2400 inside=0 logmap=240 periodicity=9
colors=000KP7IP5<2>FN3DN2CM0<3>7K05K04J0<3>1H00H00G0\
<3>1D01G00K0<3>2_52d62g62k82oA2tB2xC3zE3zF3zG2zH1zK1\
xL1tN1qP0lR0iU0eV0bX0ZZ0Wa0Tb0Pe0Mh0Jk0Hl<2>08u06w02\
z01z<2>10z45z68x8DuAHrDLoGQlJViMYgOadRgbUkaYq``u`<3>\
ahgaehcekcbnc_qcWtdUwdRzeTxeSwgSugSugStgSriUrhTqiToi\
TokTnjTl<2>lUjlUinUinUhoVgoVgnZfn`encfngflhflje<2>nr\
dnnbnl`oiaog_qc_qaZr_ZrWXtUXtPVuMVuKTwGTwERsAQo7Qk5P\
g1Ud0Yb0ab0gc0kb0ib0hc0gb0eb0eb0db0b_1ag1an2`p3`q3Zq\
3Zm2Wi2Ue1Te0Ye0de0id0kc2lc3ld4nd5nh7oj8ql9qnAroCrrE\
tuGuwHuzKwzNwzQy<2>z_zzezzizzhzzbzzXwzUrzQpzPlzKizJg\
zHc<2>z9Uz6Qz5Nz6Lz7IzAGzBCzCAzD7<3>oH9lIAiJAgKBeLBb\
MB<2>WPDUQDQQEPSENUEMVGJWGJYHHZHF_ICaHBbH<3>2hJ0iK0k\
L0lL1nP3oU5qY8raBteFuiHwmKxrNzvQzzTzzWzxXzs_zn`zjbzg\
bzfbzdbzcaz`az_bzZbzWazUazRazQQzA
}
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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