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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Between real work, fighting with the Fractint float-only-version bug, and trying to gain access to ABPF with the Agent newsreader through Earthlink, I once again found little time for fun with fractals, much less for serious philosophizing. Maybe, when I finally regain access to ABPF, I'll philosophize about the comedy of errors that kept me from getting connected. It will seem more like a comedy at that time. I did find a fractal today that rates a 6, which equals slightly above average on my entirely subjective scale of fractal worth. I named the picture "Four Flying Wings" after the four brilliant wing-shaped yellow areas surrounding the central midget. The mathematical expression 0.06Z^(-511)+0.6Z^(-2)+(1/C) created the fractal. The MandelbrotMix4 formula iterated the above expression to produce the image. At somewhat under 9 minutes on a P200, the parameter file is rather slow. To save time, give Paul a chance to render the image, then go to his web site at: If all goes well, I'll resume posting the FOTD images to ABPF tomorrow, but so far very little has gone well. The fractal weather today was partly sunny, with a temperature of 35F (1.5C), which allowed the fractal cats a few minutes outdoors to romp in the yard. That's it for now. Until next time, take care, and fractals are as real as you make them to be. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Four_Flying_Wings { ; time=0:08:45.75 -- SF5 on a P200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+2.24514129586799700/+0.11861353313784640\
/7001148/1/112.499 params=0.1/-511/1/-2/-0.4/400
float=y maxiter=5000 inside=0 logmap=150 periodicity=9
colors=000O00P00P00M00K00H00G03E06B0B90E60J40M30R00X\
00_01d03h04m06p07v07z0Bt0Ep1Hm6KiBMfGPcKUYPXVVYRaaOf\
dKkhHpkCvm9zp6zt3zx0zz0zz0<3>zzBzzEzzHzzKzzOzzPxzUxz\
Xvz_tza<2>ozkmzokzpizthzxfzzfzzipxmhtpaorUkvKfzEcz6Y\
z0Vz0Pz0Mz0J<3>z0Pz0Rz0Rz0U<2>z0Yz0_z0_<3>z0fz0hz0h<\
3>z0oz0pz0pz3czBRzJGzR3z_0vh0tf0td0rd0rc0pc3pa6oaBo_\
GmYJmYOkXUkXXiVaiVdOUm3Rt0Pz0Oz0Ox0Mv0Mt3Kr6KrBJpEJo\
HHmMHkPGkUGiYEhaEfdCdiCcmBcpBav9_z9Yz7Xz7Xz6Vz4Uz4Rz\
3Pz1Oz1Oz0Mx0Kv0Jv0Ht0Ht0Gr0Er0Cp0Bp1Bo39o49o69o79o9\
7oB7oC7mE7<3>mK6mM6mO4mP4kR4kU4<3>k_3ka3kc3id4hf6fh6\
fi7dk9cm9aoBapB_rCYtEYvEXxGVzGUzHUzJRzJPzKPzKUzMVzMY\
zM_zMczOdzOhzOizO<3>_zaXzdVzhRzk<2>KzvHzzGzzCzzBzz9z\
z9zz9zz7zz<3>6zz6zz6zz4zz4zx4zx3zv3zv3zt3zt4zo6zk7zf\
9zcBzYCzVEzPGzMHzHJzEKz9Mz6Oz1Pz0Rz0Mz0Mz0
}
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.
