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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I named today's image "Eyes of a Peacock". The eyes I am reminded of are not the eyes at the front of the bird, but the eyes that appear on the feathers as the bird spreads its mighty tail. While not quite as lovely as a peacock's tail, today's image, with its areas of order mixed with areas of total chaos, is unusual enough to rate an above-average 7. The the parent fractal was created by the simple formula 11Z^(-1.1)+Z(-11)+(1/C). This parent is a grossly oversized figure that needs two outzooms before it totally fits on the screen. The most striking feature, a wheel with chaotic spokes, lies in the northeast quadrant of the fractal. Today's image lies deep within one of the chaotic spokes of this wheel. The midget in today's image is one that I found by nothing more than instinct. At the surface of the parent fractal, there is no sign that a midget lies at this particular location. I have not the slightest idea where the 'hunches' come from that lead me to some of the FOTD images. I suppose it will have to remain a fractal mystery. It is no mystery however that the parameter file takes 7 minutes to run on my creaky old Pentium 200mhz machine with the noisy exhaust fan that often freezes and needs to be jogged into turning with a toothpick. The running time on faster or slower machines will vary accordingly. Those with little time to spare will find it faster to download the image from: Summer returned to Fractal Central today, as the temperature reached 72F 22C under bright sunny skies. Also, the winds were light, a condition the fractal cats find stimulating for outdoor activity. Tippy the tabby, the more adventuresome one, became a little over-stimulated while he was out, and chased an intruding cat three doors up the hill. Thomas, the larger but lazier orange one, watched the action from the porch, ready to leap to the rescue if Tippy needed help. Luckily for Thomas, Tippy needed no help. Luckily for me also, the work today is reasonably light. But even so, it will take several hours to finish. I guess I'd best get started. Until next time, take care, and it will all work out all right. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
Eyes_of_a_Peacock { ; time=0:07:23.63--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+20.70866822370727000/+59.5760575587247\
2000/9.528763e+009/1/14.9926075182904999/0.1421536\
92229578021 params=11/-1.1/1/-11/0/300 float=y
maxiter=1600 inside=0 logmap=151 periodicity=10
colors=000LF0RDAYAK`7Kf4Ui1Um0ct0cw0jw0lx0ox0py0ry\
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jDzrDzzDzz0zI1zL1zO3zQ3zS
}
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.
