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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's fractal reminds me of a midget Mandelbrot in the center of a globular cluster of smaller midgets. So I named it "Globular Cluster". The scene is part of the same parent fractal that contained yesterday's scene, the fractal created by the formula -1Z^(-11)-11Z^(-1.1)+1/C. As I mentioned previously, the parent fractal holds such a variety of terrain that I could spend a month investigating it. In fact, I might spend a month investigating it. Today's scene lies deep in a tiny disconnected feature in the central fan of the parent fractal, near the edge of an obviously critical Mandeloid area. The area around today's midget at first appears non-critical, but deeper investigation reveals the midgets lurking hidden in the features that at first appear barren of midgets. For patient fractalists, the parameter file renders in 16 minutes. The impatient will wish to download the GIF file from: The fractal weather was cloudy and unusually cool today, continuing the trend of the year without a summer. But the temperature of 74F (23C) was not too cool for the fractal cats, who spent a good deal of the day lounging on the porch and investigating the grass. The invigorating coolness brought out my philosophy muse. But I wrote nothing. I only pondered. But be patient, philosophy fans. Eventually, my threats of enlightening philosophy will come true. The big day might even be tomorrow. Until then, take care, and keep your cool. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Globular_Cluster { ; time=0:16:26.48 -- SF5 on a P200
; Version 2000 Patchlevel 13
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+2.38222558546946500/+2.43211835179881500\
/1.535927e+008/1/72.499 params=-1/-11/-11/-1.1/0/800
float=y maxiter=2000 inside=0 logmap=305 periodicity=9
colors=000K0WK0WK0XM0XM0ZN0ZN0`P0`P0aQ0bQ0dS0eS0gT0h\
T1gU2gU4eW5eW6dX8dXAdZCUZDKWMAUW0Td0QZ0PT0MP0KJ1JE4G\
86E2AC0DA0G80JC0K<3>H0QJ0SK0TM0UN0W<2>U0dW0gX1i`2ka4\
nb5pe6sg8vhAykCz<3>rHzsJznPzgTzaZzUbzPhzHlzCrz4vz0zz\
0zz1zzAzzJyzSwyZvubpp<2>lbdoZ`sTWvP`yKbwHe<3>vCpvAsu\
8vu6yu5zsPksgUyhbzgizWpzHwnEv`CuM8s86sDNsHbsKpsGsvCv\
yHuzusTswUrzWrzXopTldQiZMW`o1iz4hv5hs6goAglCehDeeGda\
HdZJbUKbSNaNPaKQ`GT`DUZ8WZ5ZX1<2>bW0<2>vh0zl1zp4zu5z\
r8zoA<3>zdGzaHzZKzWMzTNwQP<3>rEUnDTkCSgASd8Q`8PX6PU5\
NQ4MN2MJ2KG1KC0J80H50H10G00E<3>00C00C00A00A008008006\
<3>0050A60M60Z60i80v80z8SwaTybTydUzdUzeWzeWzgXzgXzhZ\
ziZzi`zk<2>azlbzgdybduZerTgoPgkKhiNikQilTknWkoZ<3>Uu\
iQvlNwo<2>Aww5wz2wz<2>EwzHwzMwz<3>ZwzbwzewzCwz<3>Ewz\
EwzGwz<3>Hwz
}
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.
