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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today, the FOTD returns after its 1-1/2 week hiatus, with the first fractal I've calculated in that time. Of course, this is the reason I have named it "Many Happy Returns". The average rating of 5 reflects my opinion of my first fractal effort in 11 days. The conditions here at the new Fractal Central auxiliary are still a bit hectic, but they are becoming more organized every day. In fact, the organization is such that I almost know where everything is located. Unfortunately, I still lack the time for the long philosophical discussions that have made the FOTD what it is  but as things gradually return to normal in the near future, the FOTD discussions will become longer and more complex, until hopefully we finally solve the mystery of the universe.  Today's image however is no mystery. It was created by combining small negative portions of Z^(-1.2) and Z^(-12). It's one of those moth-eaten images so full of holes that the holes are more interesting than the midget at the center. Since my DSL internet connection is not yet established, the GIF images are not yet being posted to Usenet, but hopefully Paul and Scott have posted today's image to their web sites at: The fractal weather today was mostly cloudy and a chilly 50F (10C) -- conditions that combined with a brisk wind to keep the fractal cats indoors sulking most of the afternoon. I eased their distress with a treat of tuna. I see it's time to do a little more organizing, but I'll return in another 24 hours with another fractal. Until then, take care, and the fractals will keep getting better. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Many_Happy_Returns { ; time=0:29:18.22--SF5 on a p200
reset=2001 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=+0.02268278481078340/-0.001079531652657\
37/1.821185e+009/1/-127.5
params=12/-1.2/1/-12/-1.15/800 float=y maxiter=2500
inside=0 logmap=380 periodicity=10
colors=000bmiblhbkgajgaifaieahdagc`fc`eb`da`d``c__\
b__aZ_`Y__X__XYZWWZVVZUTYTRYSQYROXQMXPLXPKZQJ_QI`Q\
HaRGbRFcREeSDfSCgSChSBiTAjT9kT8mU7nU6oU5pV4qV3rV3s\
V5nR7iO8dLA_IBVFDQCEM9DOADQADRACTBCUBCWBBXCBZCB_CB\
aCAcDAdDAfD9gE9iE9jE8lF8mF8oF8pF9oGAnGBnHCmHDlHElI\
FkIGkJHjJIiJJiKKhKLgKMgLNfLOfMPeMQdMRdNScNScNRdMQe\
MPeMOfMOfMNgMMhMLhLKiLKiLJjLIkLHkLGlLGlLHkKHkKkr9h\
oCflFdiIafL_cOY`RVYUTVXRR_OObMLeKIhHFkFCnD9qA6t83w\
60yDGqKVjQicTafVViYOl_Hoa8taAqaCoaEmaGjaIhaKfaMcaO\
aaP_aRXaTVaVTaXQaZOa`MabJadHSt_aeFfhLjjRnmXpt`qqar\
obsmbskcticugduedvbew`fxZfxXgyVgzThzRhxRewRbvR`uRY\
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On_Qo`SoaUpcWpdYqe_qfaqhcrierjgskismktnmtootpqpoom\
nnjmlglkdljakhZjgVieShdPhcMgaJf`GeaDdbAdcBcdBceBcf\
BcgCchCciCcjCckDclDcmDcnDcoEcpEcqEcrEcsCctEcuGcvIc\
wKcxMcyOczQczSczUczWczYcz
}
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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