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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: To create today's fractal, I entered all 1's and 3's into the M-Mix4 formula and let her rip. Oh, I may have entered a single '2' into real(p3) as the multiplication factor, but nobody's perfect. The resulting fractal is a distorted Mandeloid with a loop attached. This loop has sub-loops attached at regular intervals, with tiny holes where the loops join. To find today's image, I chose one of these holes, which is in the shape of a Mandelbrot midget, and dove into the debris cluttering its East Valley. The East-Valley nature of the scene of today's image is quite apparent, as is the theme of smaller loops attached to larger loops. The smaller loops appear to be budding and breaking off from the main feature, the effect which inspired the name "The Budding Midget". After studying and re-studying the picture, I decided it rates a marginal 6, mostly because I like the purple colors that fill it. The parameter file renders in under 12 minutes at a resolution of 640x480x256 on a Pentium 200 machine. In a little over 12 hours, the GIF image file will be posted to Usenet at: The fractal weather today was unusually pleasant. The sunny skies and temperature of 56F (13C) had the fractal cats on the porch from late morning until after 3pm, where they took turns stretching in the sunlight and washing each other's faces. Unfortunately, because of a major work rush, which requires two jobs to be finished at the same time, I was prevented from engaging in my intended philosophical pondering today. But the time is growing close when the philosophy will no longer be able to be contained. And that day might come before the weekend passes. So stay in touch with the FOTD, and never forget that patience is rewarded. Until next time, take care. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
The_Budding_Midget { ; time=0:11:54.19 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+5.608365346018756/+0.652676256536578/187\
481.4/1/80 params=1.333/-13.33/13.33/-1.333/-1.2/0
float=y maxiter=1800 inside=0 logmap=223 periodicity=9
colors=000f7Ji7Lg7Og7Qf7Td7Vd7Yc7`c7ca7d<3>_7o<3>f7p\
g7pjAplBpmDroErpGrsJr<2>xNryPszSs<4>zZsz_vzaxzcyzdzz\
fzzfz<3>zkzzmzzmz<2>zqzzszzszzpz<4>zhzzfzzdz<2>z_zzZ\
zzWwzVt<4>zne<2>zzXzzUzvRzqOzmKzjHzf7za7zX6zV6zQ4zM4\
zH3zE3zH7zJCxKGuNLrPPoQSlUXiY`dadaei_ilXmpTqqQurOysL\
zs0zm0zh0xc0wZ0qU1pP3fK4jF6_09c0AS0CX0DN0FQ0GK0IF0JI\
0IM0GM3GT9FTDF_IDaODgSCjYCnaAqfAvl9yp9zv7zz7zzAzzDyv\
GtrJpmMkjPffSaa<3>c`Lf`Gi`D``PT``U`lU`xUez<3>UyzUzzS\
zzQzzPzoOzaOzQIzO<3>0zC0zACzGQyMdsSskYzdczZizglznozn\
pznsznvznxzpzzqzznzzhzsfzmVzfKz_NlLGT9M70Qg0d`6hj6nz\
Amz7jzChz9gz7fz9hzAjzCmzDnzDpzFszGtzIwzJyyJzx<2>OzsP\
zrPzpoBorHjsMguSdvWax__yfXzjTznQxmOukMrnJoqIltGiwDdz\
Caz9_z7Xz6Tz3Qz1Oz0Qz1Sz1Tz1Xz1<2>`z1Yz4Xz7Vz9SzCQzD\
PzGOzILzLJzMIzPGzQ
}
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.
