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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Minibrots, Minibrots, Minibrots . . . will I ever get tired of Minibrots? Apparently not. Yes, I realize that they're all the same basic shape, and that I'm working myself into a rut with these Minibrots, and that some may find an endless string of midgets boring. But Minibrots are fun to find and the variety is without limit. To create today's flashy midget I changed the imag(p1) parameter of yesterday's formula from -1.1 to -1.15. The change makes a world of difference in the parent fractal and also in the shape of the midgets deep inside. I'm not going to try to describe the indescribable parent fractal; those who wish to see it may do so by resetting the logmap to 1 or 0 and outzooming from today's image until the entire fractal fits on the screen. Nor will I try to describe the flashy star-like pattern around the midget in today's image, which I have named "Flashy Minibrot" for the obvious reason. The parameter file takes over 11 minutes to render on a modest Pentium. On a state-of-the-art machine it will finish in 3 or 4 minutes. Patience may be preserved by going in a virtual manner to the Usenet group: The fractal weather today was very unsettled as one thunderstorm after another billowed up nearby. Luckily none billowed up overhead, and we escaped with only a few light showers. The temperature topped out at 84F (29C), which was comfortable enough for the fractal cats, but the wet grass kept them indoors. Fractal cats don't like to get their paws wet. The big rush ended today as we delivered the final material to the organizers of the 2000 International Wushu-Kungfu Championships Festival, which is being held this weekend here in Baltimore. Next week should be slow, giving me a chance to write some of that great philosophy I've been promising for some time. I should also have the time to produce even better (if possible) fractals. For this evening however, it will be a night of rest and relaxation. Until tomorrow, take care, and a good fractal is nothing to kick about. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Flashy_Minibrot { ; time=0:11:20.44 -- SF5 on a P200
; Version 2000 Patchlevel 9
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+8.152643939088213/+9.261915743925041/7.2\
37436e+008/1/-155 params=-11/-1.15/-1/-11/-1.975/0
float=y maxiter=1500 inside=0 logmap=246 periodicity=9
colors=000000000500A0KF0KK0UP3UU7ZZCZcGchLcmPhrVhwZr\
zdrzhvzbvzavrVreLfUFbH3_G7HFBPEFYCJeCNnBYoAfp9rr9qs7\
zu6uv4zx0zz4ty9ssCknHkhLddPaZVZUZXObSKhPFlNApK4pH1hQ\
PU_WFibOkYZnRipLus4srGrrSprdpuporo<2>kiZifUidO<2>eX9\
dU3bR0aR0<3>fL0hK0iJ2kH3kG4lF6rE7rCAzBBzACz9Es7Fl6Cf\
4Ba39X27R26L13G02B0060010721E23K37R3AY4Ed4Gk4Jr6Ny6P\
z7Uz7Xz7ZzAXzCUzFRzGOzJLyLJxOGvPEvSBuV9sY6rZ3pa1od0n\
f0lh0lf0if0he0ee0dd0ad1_d2Yb2Xb3Ua4Sa6Pa6OXAUSEZOGd<\
2>CRs9Vy4Zz0fz1az7YzEUzKOzRKzZGz<2>s3xz1xz0vx0vu0ur0\
uo0s<2>f0rd0ra0pZ0pe0xY0pP0kH0eA0Z20U00O00J60FA0BA00\
<4>A00A00K40FE1BL2<2>0i40r60z70z71zA<2>dzErvFzuGzvJu\
xLpxNkyPeyRazUXzXRzYNz_HzaCzd9zeBzdCvdFrdGsdJudKvdNx\
dOydRzdSzdVzd<2>_zdZza<2>VzYUzXSzURzSRzRPzPOzONzLLzK\
KzJJzHFzFJzGLzHPzHSzJXzKZzKbzLezLizNlzOpzOszPxzRzzRz\
zSzzV
}
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.
