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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's fractal formula takes 3 parts of Z^(-1.5) and adds 0.9 part of Z^(-4.5) before adding (1/C) to produce a parent fractal that vaguely resembles a Mandelbrot set rotated 180 degrees. Perhaps the most unusual thing about this parent fractal is that like so many fractals with 2 negative exponents of Z, it has a 'fan', but the fan opens out toward the west rather than the east. For a half hour I searched this backwards fan for a sign of midgets before I concluded that it has none. I then turned to the much more promising area at the east side of the parent fractal, where after a brief search I found the midget that lies at the center of today's image. I rather like the peach color surrounding the midget. This is why I named the image "Just Peachy". I rated it at a 5, which is FOTD average. The image's parameter file takes 1-1/2 minutes to calculate on the speedy P2000 computer. It would take about 9 minutes on the slower P200, which as it nears 11 years of age is still running Fractint. The best way to view the image is to forget all this parameter file stuff and go to the FOTD web site at: Heavy clouds and occasional rain marred the Thursday weather here at Fractal Central. The fractal cats were more concerned in catching a fly that had gotten inside than they were in the outside conditions. My day was rather busy, but still under control. The next FOTD is due in 24 hours. Unless something unforeseen comes up, it will appear as scheduled. Until then, take care, and if the world is an illusion, are fractals also illusory? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Just_Peachy { ; time=0:01:34.09-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=recip passes=1
center-mag=+1.473661593883163/+0.4775981387907711/\
1.267474e+008/1/35/-2.83189545778606e-006 inside=0
params=3/-1.5/0.9/-4.5/0/0/0/0 float=y maxiter=1500
logmap=148 periodicity=10
colors=0006AA9AACAAFAAIAALAALAAQAAQAAUAAVAAYAAZABa\
BCcCDfEGiFJmGLnKKnNKnQKnUKnXKn_JnbJnfJniJnlJuuCnoJ\
gjQ`dXU_cOViPWfPUcQS`QQYQOXQMWQK2QI3TJ4WO5ZT6aY7gh\
4db7aXAZRDXMFUGIRALP5NMBMJHMGNMDTLAZL7dL4iK5jLgkMz\
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Q_aTTaWNbZGba9cc3cb6`b8ZaAXaCU`ES`GQ_IN_KLZMJZOGYQ\
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OldRmfTogWpiYqj`rlctj`rk`rkarlarlarmbrmbrncrncrocr\
odrpdrqesnfqkhnz6nz9nzDozGoyJpyMqyQqyTryWryZsxbts`\
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c`5h7GfFMdNTbV_ePSfSRgUPhXOjZNkaLlcKmfJnhHpkGqmFrp\
DsrCuuAspDsnFrkHriJqfLqdMpbOp_QqYSrVUsTVtRXuOZvM`w\
JbxO`yUZzZXzdVzcUzaTz_SzZQzXPzVOzUNzSLzQKzPJzNIzLG\
zKFzIEzGDzEBzGBzIAzL9zN8zP8zS7zU6zW5zZ4zX6zY8zZ9z_\
Bz`CzaEzbFzcHzdJzeKzfMzaS }
frm:MandAutoCritInZ {; 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)+(p4)),
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }
END PARAMETER FILE=========================================
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times.
