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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's midget exists in the same area of the same fractal as yesterday's puzzling image, which means that we have order-2, order-3, and order-6 midgets lurking in the same fractal neighborhood. Since all this variety exists, how much more might exist? We'll discover that in future FOTD's. For today however, we have today's image. It is an image of a normal quadratic midget, with the normal 4,8,16-way symmetry surrounding it. I named the picture "Midget with Tadpoles" after the eight tadpole-like tails around the midget. Though the fractal is a mathematical come-down from yesterday's 9-1/2, it is still worth an above average 7. And as an added bonus, the parameter file renders in only one minute, more or less. The fast render time can possibly be made even faster by visiting Paul's web site at: The fractal weather today (actually yesterday) here at Fractal Central featured normal uneventful summer conditions. The hot sun and temperature of 88F 31C pleased the cats, but not quite as much as the dish of tuna I treated them to in the afternoon. Before the cats get unhappy again, I'd best involve myself in some productive work. Until next time, take care, and see you then. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
MidgetWithTadpoles { ; time=0:01:18.27--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=ident passes=b
center-mag=+0.52941265936266180/+0.052211586021879\
70/8.323398e+007/1/160 params=1/3/-0.35/4/0/0
float=y maxiter=1000 inside=255 logmap=48
colors=00020D20F60JB0NF0QJ0US4Y`JbgWipgnxtuzzznpnY\
`dFQV0LHFHBWU4ke0zs0zz0zv0tpDgiPYdZNYk8Qu0Jz0Dz0Bz\
08z06z04z04zH2zZ2np0Wz0Bz0Fz0Hx0Lu0Pr0Sn0Uk0Yg0`d0\
d`0gY0iU0mS0pP0tL0uH0xD0z80z40z00z00z00z00zivuetvd\
rxbnx`mzZizYgzUdzSbzQ`zPYzNWzLSzHQzFNzDLzBHz8Fz6Dz\
28z06z02z00z00z00z0zz0zz0zz0zz0vz0tz0rz0nz0kz0gz0d\
z0`z0Zz0Wz0Sz0Pz0Lz0Hz0Fz0Bz06z02z00z00zzJNzHQzFUz\
DYxB`tBdn8gi6kd4nZ4rU2uP0xJ0zD0z60z00z00zeze`zkYvn\
SprPiuJbxFWz8Pz4Hz08z0Uz0cP0mZ0eg0Ur0Jz04zUAxcAzmA\
zmAzmAzmAzmAzmAzkAzgAzdAz`AzYAzUAzQAzNAzLAzHAzD8z8\
6zA2zK0zU0zc0zmWzuSzzSzzUzzWzzYzx_zrazmczgezbgzYiz\
SkzLmzFoz8qz2sz0uzdwiZymWzpSztPzuLzxHzzBzz6zz2zz0z\
z0zzpztmzukzvizvgzxezxbzz`zzZzzYzzWzzUzzQzzPzzNzzL\
zzJzzFzzDzzBzz8zz6zz4zz0zz0zz0zz0zz0zzYznUzrQztPzu\
LzxJzzFzzDzz8zz4zz2zz0zz0zz0zz2zz0zz0zz0zz0zz0zz0z\
z0zz0zz0zz0zz0zz0zz0zz000
}
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.
