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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: After another day of fractal frustration, trying again and failing to get my FOTD machine connected to Mindspring, I found enough time to find a fractal. The expression behind the image is Z^(1.08)-0.1Z^(-0.92)+(1/C), an expression that draws a most curiously distorted Mandeloid. Today's little midget lies in a crescent-shaped area of chaos that curves from the East Valley of the parent fractal. It is one of those midgets that appears to have few organized features around it, existing instead in a world of near total chaos. I named the image "Fractal Ant Trails" when the curving strings of vaguely ant-shaped features reminded me of trails of ants on the way to and from a source of food. I rated the image a 4, which is slightly below average on my scale. The render time of 21 minutes is the time required to render the image in video-mode SF7, the minimum resolution that does justice to the scene. For those with patience, the very large GIF file will be posted in 12 hours to the Usenet binary group: The fractal weather today was partly sunny with a temperature of 38F (3C), which combined with the snow on the ground to keep the cats indoors. I was far too busy and frustrated to philosophize. Perhaps tomorrow... Until then, take care. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Fractal_Ant_Trails { ; time=0:21:02.58 -- render at SF7
reset=2001 type=formula formulafile=critical.frm
formulaname=mandelbrotmix4 function=ident passes=1
center-mag=+0.01071533553487223/-0.00439118430360055\
/2770.515/1/-132.499 params=10/1.08/-1/-0.92/-0.9/0
float=y maxiter=1200 inside=0 logmap=42 periodicity=9
colors=000uxzsxzkxzozzmxzkxzivzgvzeuzduzbsz`szZqzXqz\
VozTozRmzPmzNkzLkzJizHizGgzEgzCezAez8dz8dx0bx0bv0`v0\
`v0Zu0Zu0Xs0Xs0Xs0Vq0Vq0To0To0Rm0Rm0Pm0Pk0Nk0Ni0Li0L\
g0Jg0Jg0He0He0Gd0Gd0Eb0Eb0Cb0C`0A`08Z06Z04X02X00X00V\
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H`0Jb0Jb0Ld0Ld0Nd0Pe0Pe0Re0Rg0Tg0Vg0Vi0Xi0Xi0Zk0`k0`\
m0bm0bm0do0eo0eo0gq0gq0iq0ks0ks0ms0ou0ou0qu0qv0sv0ux\
0ux0vx0vz0xz0zz<44>0zz0zz0zz<2>0zz0zz0xz0vz0vz0uz0uz\
0sz0sz0qz0qz0oz0oz0mz0mz0kz0mz0kz0kz4kz6kzAkzCizGizH\
izLizNizRgzTgzXgxZgvbgvdeugeuiesmesoeqsdoudoxdmzdmzd\
kzdkzbmzbmzbmz`mz`mz`mzZmzZmzZmzXmzXmzXmzVmzVmzVmzTm\
zTmzTmzRmzRmzRmzRmzPmzPmzPmzNmzNmzNmzLmzLmzLmzJmzJmz\
JmzHm<2>zGm0xz0xz
}
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.
