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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Once again, due to unavoidable things that had to be done, the FOTD is late. This will continue to happen occasionally until things are totally back into the familiar routine here at the new Fractal Central auxiliary. Despite the rush, I managed to find a fractal midget worthy of a rating of 6. I named the picture "Specular Reflection" when I had the impression of a brilliant light reflecting from a metallic surface around the edges of the midget. The formula behind the image is another of my whimsical ones -- -(Z^(-1.25))+Z^(1.25)+(1/C). The 6-1/2 minute render time of the parameter file is just slow enough to make a download of the GIF image worth the effort. That image will soon be available on Paul's web site at: The fractal weather today was sunny and mild, with a temperature of 59F (15C), which the fractal cats found ideal. They spent nearly the entire afternoon sunning themselves in the yard and thinking of what trouble to get into. I lack the time today to reveal the one true mystery of the universe, but I must warn about all those false mysteries of the universe out there. Don't be deceived by these imitations, wait for the real thing to be revealed.  Until the real thing is revealed, and even after the revelation, I'll continue with the 4-year-old FOTD, which has no end in sight. The next one will appear in about 15 hours. I'll see you then. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
SpecularReflection { ; time=0:06:30.52--SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.466396676467665/+1.55164254988776/1.\
393514e+012/1/-50.009/0.012 params=-1/-1.25/1/1.25\
/0/0 float=y maxiter=1400 inside=0
logmap=125 periodicity=10
colors=000B8ZB7`C6cD5fE3iF3lG2oH1pE0oC2mB3jA5f87c7\
8_6AW5BT9DUCHXHKYKN`RRaYYdddfiiinnnssswwwzzzzzzzzz\
tttlllddiYYhRRdKKcEE`98ZE3XK1WR5TY9QdDPlIMtNKzTIzY\
HzZGz`Ez`EzaDzaCzcCzcBzdAzdAzf9zf9zhAyiAtiAokAnlAk\
lAhnAdoBaoB`qBYsBWsBTtBQuBPuBToDWiEYcG`YHcTIfPJiJM\
lENoAPs6Qu2Ry0T1d03`17X39U5CQ7EM9IJBMGEPCHTAJW7MZ3\
Pa2RotPosNnqMnoKnoJlnIllH1oR0oR0oQ0oQ0oP0oP0oN0oN0\
oN0nM0nK0lK0lJ1lI2lI3kI3kH5iH6iG8iE9hEAhDBfDCfCEfB\
GdBHdAIcAKc9Mc8Na8Pa7Q`7T`6U`5WZ5XZ3YY3`Y3aY2cX2dX\
10U60U50U51U52U53U53U55U56U57U38U38U39U3AU3BU3CU3D\
U3EU3GU3HU3IU3IU3JU3KU3MU3NU2PU2QU2RU2TU2UU2UU2WU2\
XU1YU1ZU1`U1aU1cU1dW1fX1j`NqZInYDhYUhZck`miawiczid\
sifnihihidhk`hlXhnThoPhqKfsHftDfuAfw7fy39z0Gz0Mz0T\
z0Zz0RzPTzNTzNTzMTzMUzKUzKUzJUzJWzIWzIWzHWzHXzHXzG\
XzGXzEYzEYzDYzDYzCZzCZzBZzBZzBZzA`zA`z9`z9`z8az8az\
7az7az6cz6cz6cz5cz5dz3dz3
}
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.
