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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: It was another rushed and hectic day here at Fractal Central, but despite the lack of time, I managed to find a fractal image worthy of being named FOTD for October 2. The expression 0.1Z^(-100)-10(1/Z)+C was iterated by the M-Mix4 formula to produce the fractal in which today's decorative midget lies. I named the picture "For All Eternity" when, while studying the scene, I had the thought that this midget, which almost certainly has never before been seen, always has existed, and always will exist. I rated the image a 7, mostly because I rather admire the yellowish string of features that outlines the pattern around the midget. With a draw time of almost 8 minutes, the parameter file is slow enough to make a download of the image the more efficient way of viewing the eternal scene. The image may be retrieved from: With a temperature of 71F (22C), the fractal weather today was perfect for cats. The fractal cats however enjoyed far too little time outdoors. A can of tuna this evening eased their exercise frustration. Well, I see it's once again time to shut down the fractal shoppe and call it a day. I'll return tomorrow with more goodies but little philosophy, since the continuing rush will still not allow me enough time for a proper ponder. Until then, take care, and where were you when they discovered the Mandelbrot set? Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
For_All_Eternity { ; time=0:07:56.00 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=-0.05124194981011652/0/6.820408e+010
params=1/-100/-100/-1/-0.9/0 float=y maxiter=3000
inside=0 logmap=67 symmetry=xaxis periodicity=10
colors=000DFPPGKSGZcKqjJoqInyyNYoQ7fS<3>AYGBWDBUA<3>\
`mHfrIdaXbMja6x<3>fXmhcjijhjqekwc<3>LnQElN8jK<2>vfz<\
2>G7M<3>iWSqaUxgV<3>cPjZKnUGrPBvK7z<3>SXtUcsWirRPnM5\
k<3>`6Vc6Rg6Nj6JCB5Y8D`PF<3>mCJp9KTdh<3>fNXiJUmERpAO\
_5F<3>k6Jn6Kq6Ly`l<2>tDSyZR<3>uFNwAMyBE<3>z7Jz6Kz`gy\
IC<3>uBIt9Js7KrC8qADp8HFVh<3>_IXdFUiCRn9OAsb<3>`RSfK\
QmDNjL7oDE2r1Ka8aMFX`5<3>oCIRQ3`J9jCFqjH<2>rUJ<2>sXL\
2YjlZdp_VP`UXaJ_bkicYce3<3>pmIXo_<3>owO`yZ<3>pzN9zG<\
3>XzJbzKhzKnzL8z6pzDqzGrzJDz0<3>ezElzIlz0<3>pzCqzFrz\
IWze<3>gzVjzSmzQpzNmzJ<2>rzLfz9<3>mzFozHpzIrzKqzG7zY\
<3>WzRazPgzOmzMBzd<3>dzRlzONzn<3>mzR0z_<2>ezOGzL_zLy\
znJzkBzr3zyBzw
}
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.
