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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Another rushed day, this one complicated by heavy rain, and as a result the FOTD is once again late. But as I have been saying almost every day recently, better late than never. As a glance at the 'Z' screen shows, the formula behind today's image was found by turning off my brain and letting my fingers roam the keyboard numbers at random. I named the resulting picture "Tongues of Fire" not from religious devotion, but because while studying the image, trying to think of a name, I had a brief impression of eight flames surrounding the midget. I tweaked the colors a bit since then, so the effect is now much less prominent. The parameter file runs in under eight minutes on a Pentium200 machine, and considerably faster on a state-of-the-art machine. Of course this is slow enough to make a download of the GIF image file from: The fractal weather today was cloudy and cold, with heavy rain and high winds all day. Not only were the fractal cats quite testy, but the fractal basement took on 3 cm (that's 1-1/5 inches) of water during the afternoon. The outdoors received over 8 cm (3 inches) of rain during the day, while the temperature hovered around 40F (4.5C). Well, it's now 8:15am and time to start another hectic day. The next FOTD will appear in 15 hours. Until next time, take care, and be patient. The good old FOTD, with controversial philosophy, will return next month. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Tongues_of_Fire { ; time=0:07:47.42--SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-0.18327714657609640/+0.768649481103325\
10/1267948/1/22.499 params=1/-1.15/-1/1.15/-0.15/0
float=y maxiter=1500 inside=0
logmap=131 periodicity=10
colors=0001Ln6Jk9IgEGdIEaLDYOBXQ9XR8XT8XV6XX4XY4X`\
2_f1Vj0Ki0Mi0Jj0Lk0Gl0Gn0Gq0Es0Et0Ew0Hx0Kz0Mz0Oz0Q\
z0Pz0Oz0Lz0Jz2Iz8EzBDzEBzI8zL6zO4zT1zY0za0ze0zj0zm\
0zi0zf8zbEz_NzYVxVatTipRqlOxiNzfLzbJzaJzYJzXJzTJzR\
JwQJtNJqLJpIIlGIkDIgBIf9Ib6Ia4IY1IX0IT0IR6XIEk8Nz0\
Vz0Yz0_z0bz2dz6fzBizGkzLnzOpzTqzYtzbwzfzzkzzpzzszz\
tztwznxzixzbzxXzxRzxLzwEzw8zw2zt0zt0zt0zs0zq0sq1kp\
6bnBVnGNlLEkQ6kV0nR1pO4qL6tI9wEDxBEz8Iz4Lz2Nz1Qw1R\
s0Tp0Vl0Xi0Yf0_b0a_0bX0dT0fO0gL0iI0kE0lB0n80p40q10\
s00t00w00x00z01z08z0Gz0Oz0Vz0bz0kz0qz0zz0zz0zzBzlB\
sY9sJ9s48saBsYGqTJqQNpNRpIVnE_n9bl6gl1kk0pk0si0wi0\
ql0nn0kp0gs2dt6aw9YxDTzIQzLNzOJzRGzXDz_9zb6zf9zgDz\
iGziJzkNzlQzlTznXzp_zpbzqfzsizslztpztqzkszaszRtzJt\
z9wz0wz0xz0xz1xz4zz9zzDzzIzzLzzQzzTzzYzzazzfzzizzn\
zzqzzwzzzzzzzzzzzzzzzzzzwzzqzzlzzgzzbzzYzzTzzOzzQz\
zRzxTztVzqXznYzk_zfazbbz_
}
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.
