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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today we continue our day-by-day climb up the ratings ladder with a fractal that rates a 6. The iterated formula subtracts Z^(-6.666) from Z^(-6.66) and multiplies the minute difference by a factor of 19999 before adding 1/C. The result of this operation is a rough open circle with a shallow bay at its east edge. The circle is filled with a ring of fractal islands, the most interesting island lying in the east bay. Today's midget lies at the tip of the negative tail of a larger midget that lies near the center of this east bay island. I named the picture, which is filled with comma-shaped elements, "The Cosmic Mystery". The reason I gave it such a name eludes me. I suppose there's something mysterious about it, a possibility heightened by the rather somber dark blue color palette. The parameter file renders in a little more than 5 minutes. A quicker way to see the mystery is to download the GIF image from: The fractal weather today featured sun, clouds, wind, and a temperature of 57F (14C). This combination was barely acceptable to the fractal cats, who spent only 15 minutes out of doors. The day is finished; tomorrow is ready to begin. It's time to shut down the fractal shoppe and call it a night. Until next time, take care, and see you in 24 hours. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
The_Cosmic_Mystery { ; time=0:05:18.29 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.96820939344254350/+0.00080761418055334\
/7.534044e+010/1/80 params=1/-6.66/-1/-6.666/-20000/0
float=y maxiter=1200 inside=0 logmap=106 periodicity=9
colors=000M0FL0FL0GJ0IJ0JI0LI1M<3>C7SA9T9AV7CX6DY9G`\
AJc<3>MVoOYrQ`uTcxXfz_izzzz`lz`jz`ix`fs`dp`cl``g__d_\
Y`_VY_TT_SP_PM_OI_MFYQIXVLVYOTaQSdTSiXQm_PpaOudMxgLz\
jTzmgzVvyDzv0zs0zp0vm0oj1gg4`d6Tc9MaAIaDIdCGcFFcGDcI\
DaJCaMAaOA`P9`Q7`T6_V6_X4_Y3Y`3Ya1Yc0Xd0Xg0Xi0Vj0Vl0\
Vo0Tp0Tr0Or0Ts0Yu0av0gx0ly<2>0zz<2>1zz<2>9zyCzvFzsGz\
pJzm<2>QzdSzaVz_YzX_zT<3>izIlzFmzCpz9rz7oyCmxFjuJisM\
gpPdoTclXaj__gcYffVcjTamS_pPYuOVxMTzJQzIPzFMz<3>LSzM\
TzMVzOXzPXzQYzS_zT`zTazVczXdzYfz_fz`gz`iz<2>dmzfozfo\
z_pzSrzMsyFuv0vv9xsIypQzm`zl<2>zzdxzavz`uz_szXrzVpzT\
ozSmzPlzOizMgzLfzIdzGczFazD`zA_z9Yz7Yz4Xz6Vz7Tz7Sz9Q\
z9PzAOzAOzCMzDLzDJzFIzFGzGFzGDzIDzJCzJAzL9zL7zM6zM4z\
O4zO6zP<2>7zQ7zQ9zS<3>AzTAzTCzVCzVCzVDzXDzXCz_DzXDzT\
DzQFzPFzMFzJGzIGzFGzCIzAIz7Iz4Jz3Jz0Jz0Mz0Jz0Izg
}
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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