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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I never rate fractal images that I find while I'm not feeling up to par. They lack my full involvement. But I do sometimes give them names, and I have thoughtfully named today's image "Complex Pachyderms". The 'complex' part of the name indicates that the power of (-Z) being iterated is complex. The 'pachyderms' part indicates that the scene of the action lies in the remains of a once-perfect East Valley, which has been nearly obliterated by the addition of 0.3 part of the number 'i'. So what does a complex minibrot or a complex elephant look like? The minibrot itself is of an irregular shape similar to those we have seen many times in the fractals of fractional real powers, though the 2,4,8... sequence has been lost, while the elephants have distorted beyond recognition. The calculation time of 1-1/2 minutes is quite palatable. And the finished image is also posted on the FOTD web site at: A really pleasant late-winter day prevailed here at Fractal Central on Thursday. Full sun, light breezes and a high temperature of 28F -2C were just what the doctor, actually the first doctor I have seen since I sprained my ankle, ordered. The fractal cats agreed. The next FOTD will be posted in 24 hours. Until then, take care, and watch for the hamiltonian. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Complex_Pachyderms { ; time=0:01:29.15-SF5 on P4-2000
reset=2004 type=formula formulafile=slices.frm
formulaname=MandelbrotMiN passes=1 float=y inside=0
center-mag=+0.1016915941521/+0.048942857122051/2.2\
74516e+009/1/-62.5/0 maxiter=7500 periodicity=10
params=2/0.3/0/0/0/0
colors=000EvTFYbG9kIBhJCeLEcMF`OHYPIWQKTSLQTNOVOLW\
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2nmlYXWHGGnzoYeYHLHu6lfcp }
frm:MandelbrotMiN {; Jim Muth
b=p1, z=p2, c=p3+pixel:
z=(-z)^(b)+c,
|z| <= 16 }
END PARAMETER FILE=========================================
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times.
