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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's fractal is a quickie. I found it in less that 10 minutes, and rendered it in less than 8. I rated it a 7, though I harbor a feeling that anything including fractals that comes so quickly cannot be worth much. In coloring today's image, I set the background to a sky blue, so that the effect is one of looking through the fractal toward the brightness beyond, rather than looking into a bottomless pit. I named the picture "Hanging by a Thread" because of the thread-like filaments that seem to be holding the midget in place. The parent fractal is a huge, grossly bloated, oversized thing that needs several full outzooms before it is revealed in its entirety. Today's scene is located in a thread that spans a hole in this oversized object. With a run-time of a little over 7 minutes, the parameter file is marginal. The GIF image will soon be available on the W.W.Web at: The fractal weather today was perfect, with blue skies, warm sun, puffy white clouds, and a cat-pleasing temperature of 82F (28C). The time being late, and having lazed away all of Sunday, I now must turn my attention to non-fractal things. But the next FOTD will appear complete with fractal within 24 hours, if not sooner. Until then, take care, and have patience with your fractals. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
HangingBy_a_Thread { ; time=0:07:15.72--SF5 on a p200
reset=2001 type=formula formulafile=allinone.frm
formulaname=mandelbrotmix4 function=recip passes=1
center-mag=+1532.944991356117/+420.187069800846/91\
030.88/1/137.5 params=1/-0.9/10/-10.5/1.6/0 float=y
maxiter=1250 inside=255 logmap=113 periodicity=10
colors=00052R62Q82O82NA2MA2LC2KC2GE2CH2AK28N06Q05T\
04W02Z02a06b0De0Hh0Mk0Ql0Wo0`r0du0hhHl0`o0Xk0Ug0Sd\
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zApz8oz6lz5kz4iz2gy1ew0dv0bb1lbNubgzbznhz`lzMrz6vz\
0zz2vzCrzKnwUisbeokalleinhhokgooeprdrubsy`szZuzXvz\
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z08z0Dz1Gz6KzDNvJSrPUoHNuAGy48zA6zE6zJ6zN6zS6yW6y`\
6wd6wh6vl6vp6uu6uy6uuCorEkoJgkMbhPZeTUaWQZ`MWbHTeD\
A0KE0PJ0TN2XQ4aU6dZ8haCleDpiGslHwpKzuMzwNziQwWSlHU\
b55r21r10r20l40g41a52XPpz
}
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.
