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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Doomsday must come for all things that exist in the sequential time stream, because anything that had a beginning in time must have an ending. Current theories of the universe tell us that the beginning of space and time appeared as an instantaneous burst of energy, but the ending will come far less dramatically, as the universe slowly runs down until all activity and finally time itself stops. Today's fractal is a picture of Mandelbrot buds caught in a different kind of doomsday -- the destruction by fire. Now unless one lives near an active volcano or the Almighty sends down His heavenly fire, such an end is unlikely, but regardless, today's image is filled with fire, and a bit of brimstone. I needed little time to find the name for today's picture. I named it "Mandelbrot Doomsday" a few minutes after seeing it. Then I rated it a 6, because it is a little above average. The scene consists entirely of bof60 inside fill, which reveals the remnants of an evaporated midget. The formula is once again the MandelbrotMix4, the most prolific formula in my collection. Unfortunately for the impatient, the parameter file is another slow one, requiring the better part of an hour to render. Fortunately, there is another way of viewing the fiery scene -- by downloading the GIF image file from the binary Usenet group: The fractal weather today was near perfect, with partly cloudy skies and a temperature of 68F (20C), which brought out the spirit of adventure in the fractal cats. While exploring in the yard, they scared up a stray cat and sent the intruder scurrying down the hill. I finished the current rush late this afternoon, a bit too late to philosophize, but not too late to find today's fractal. Fortunately for fans of fantastic fractosophy however, tomorrow promises to be a slow day, which should give me time enough to do the really intense headwork necessary to get my long promised article in shape. And that's it for another day. It's time to shut down the fractal shoppe, give the cats their last snack of the day, and call it a night. Until tomorrow then, take care, and though haste makes waste, never put off until tomorrow that which can be done today. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
MandelbrotDoomsday { ; time=0:48:47.46 -- SF5 on a P200
; Version 2000 Patchlevel 15
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=t
center-mag=-0.014995/0.299738/36.15596/1/-22.5
params=1/-1.1/-1/0.9/0.37/800 float=y maxiter=1200
bailout=25 inside=bof60 periodicity=0
colors=000007103B00`10<5>f00g00h00i00j00<15>rF0sG0sH\
0<3>vL0wM0xN0yO0zO0<5>uD0tB0s90<3>o10h00<24>K00<4>F0\
0K00M00<4>M00N00N00<2>N10N10P30<3>P70t00R90q00RC0RE0\
RF0q00TK0<3>TR0t00WW0WY0W_0q00Wd0Wg0Rb0N_0MY0IT0q00E\
P0<2>7I05F03E02C01B0<3>040030020010<3>000000000<2>02\
00310510630750960990B90CC0EF0GG1IK1KN2MP3NT4PW5R_6Td\
7Yg9_lt00BdtCgzq00FlzGnzF00FizEgzEdzEbzC_vv00CWqBTnB\
Tn9Rl<2>9Md9Kd9Ib7G_7FY6EW6EW6CT5BR59P59P<2>35K34I34\
I<2>21E11C10C10B109109007<4>003003002<4>000000000000\
000000<14>100100100<3>10000900B00C00E00E
}
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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