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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: An extremely simple formula can produce a striking fractal. This is the premise I set out to demonstrate when I started the FOTD 4-1/2 years ago, and once again, I feel I have demonstrated it. True, I did not demonstrate it today with the classic equal-iteration bands, but the <tdis> outside in today's image creates a fractal striking enough so that when combined with the simple expression (-Z)^1.26+C, it once again demonstrates the original premise of the FOTD. The MandelbrotMiN formula, which stands for Mandelbrot-minus-n, is an old one that I haven't used in several years. It has some good fractals in it however, and deserves to be brought out at least once in a while to do its thing. Today's fractal rates a 7, and is a sample of the things this formula can do. The name "Fuzzy Fractal Logic" comes from the fuzzy appearance of the unusually brilliant elements surrounding the less-than-impressive midget at the center. Fuzzy logic is a loose type of logic, which when programmed into a computer is supposed to make the machine respond to input more like a human mind. It works in a rudimentary sort of way, but don't expect to be carrying on a stimulating conversation with a computer in the next year or so. The render time of 2-1/2 minutes from today's parameter file is fast enough. The GIF image downloads even faster from: The fractal weather today was less than perfect, with lots of clouds and a few sprinkles of rain. The rain, rather than the temperature of 83F 28C, kept the cats confined to the porch, where they watched for unwanted cats that might intrude. It's now time to shut down the fractal aspect and rev up the design aspect of the workshop. But I'll return in 24 hours more or less with a new fractal to delight and amaze. Until then, take care, and be at peace with everything. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
FuzzyFractal_Logic { ; time=0:02:39.61--SF5 on a P200
reset=2001 type=formula formulafile=slices.frm
formulaname=MandelbrotMiN passes=1
center-mag=-0.170083/0.861169/42.84153
params=1.26/0/0/0/0/0 float=y maxiter=6000
inside=0 outside=tdis logmap=37
colors=000jvmtzrmzmhzjazfXycSv_LrXGoS9kO4hL0eI0aE0\
ZB0W70_20e00j00o0_QkWOcQOWNQNIQEDS79U04U00W00X0000\
0700B09E9GG9NIEUG9_E9hD7oB4v92z60z20z90yE0vJ0pQ0mW\
0h_0ee0_k0Wp0Sv2Nz2Jz2Ez2Bz2UzDjzNzzXzzezzWzxNzoDz\
e4zX0xN0tE0oI0jL0eN0_Q0WU2QW7LZDG_GBcL6fQ0hW0k_0oe\
0pj0to0vr0tm0tj0re4raBrXIpUOpOUpLQjQNeUJZZGUaEOeBI\
j7Dm46r20v00y00z00z00z00z40z90zG0zN0zU0z_0ze0z0Q07\
Z2JfEWfQhfatfmzfyzfzzf6WfOXZSXQWXIZX9_X6cX6fX6hX6k\
X6oX6rX6tX6xX6zX6zUBzSEzOIyNNyLQxIUxGXvEavBet9ht7k\
tzDEzB9pBDcBGO9JB9N09QWSUzhXzf_zeczefz_jzWmzQpzNtz\
IxzDzz7zz4zz0zz0zz0zy0zy0zy0zy0zy0zx0zx0zx0zx0zx0z\
x0zy0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0\
zz0zz0zz0zz0zy0zv0zt0zp0zm0zj0zh0ze0za0zc0zf0zj0zm\
7zpDztIzxOzzQzzQzzQzzSzzUzzWzzXzzZzz_zzazzczzezzfz\
zhzzjzzkzzmzzozzpzzrzztzzvzzxzzxzzxzzxzzxzzxzzxzzx\
zzxzzxzzxzzxzzxzzxzzxzzxz
}
frm:MandelbrotMiN {; Jim Muth
b=p1, z=p2, c=p3+pixel:
z=(-z)^(b)+c,
|z| <= 16
}
END 20.0 PAR-FORMULA FILE==================================
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