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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image, the first of the month of June, is a real jewel. So I named it "A Fractal Jewel". A jewel of such magnitude certainly deserves some recognition, which I feel that the rating of a superior 8 supplies. To achieve the effect, I uncorked the outside=fmod option, which, though it is somewhat difficult to use, can produce some stunning effects with certain fractals. The good-old MandelbrotMix4 formula did the footwork as it iterated the expression -3.5Z^(0.7)+3.5Z^(-0.7)+(1/C). This expression draws a parent fractal that at first appears to be a total failure, since it consists of no more than a few tiny patches of color on a black background. Today's scene lies along the shoreline of a mis-shapen bud at the edge of one of these tiny patches. All good things take time, and today's image is no exception. The parameter file takes 22-1/2 minutes to render. But unlike so many natural processes, the rendering of today's image can be bypassed by visiting Paul's web site at: The fractal weather today was near perfect but bland, with hazy sun and a temperature of 72F (22C). The fractal cats, who are habitually bland, approved blandly. As for me, I've got to get going on more profitable things. Until next time, take care, and row your boat down the stream. Life is but a dream. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
A_Fractal_Jewel { ; time=0:22:37.10--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.01550644258372/-0.0139521159263/4.35\
8122e+009/1/-160 params=-3.5/0.7/3.5/-0.7/0/5000
float=y maxiter=3600 inside=0 proximity=0.5
outside=fmod periodicity=10
colors=000000000QMUPOWPQZPS`PUaTVdWXf_YicZkf_niapl\
cqpetsfvvhyzjzzkzzlzznzzozzoxzpuzqtzqqzsoztlztkzui\
zvfzvdzxazy`zyZzzWzzUzzTzyQzvPytOvqMtpLqnKnkJkiIih\
GfeFdcEa`D__BccIfeMjhTljYnjanjfnjjnjonjtnjxnjznjzj\
lzfnzdoy`pvYqtVssRtpOunLvkIxiEyfBzeFxdIudKtdMqdPoc\
RncUkcWicZhc`eacdaeaah_ajZalW`oU`qT`tQ`vP`uQ_tR_tT\
ZsUZsVYqWYqYWpZWo_Wo`VnaVncUldUleTkfTjhTjiRijRikQh\
lQhnPfoPfpPdnOakO`iMZfMWeMVcLT`LRZLPWKMVKLTJJQJGOJ\
FLIDKIBII9FG6DG5AF39F06F04E02E00E02I02L32O53R83V93\
YB4`E4dG4fJ5jL5nM5pL8oLAoLDoKEnKGnKJnKKnJMlJPlJQlJ\
TlIVkIWkIZkI`kGajGdjGfjGhjGhlehldhkUcKL_JK_KKZKKYK\
JYKJWLJVLIULIUMITMGRMGRMGQOFPOFOOFOPEMPELPELPGPKIR\
GJVBKY8L`3Mc0Q_2UY4YV6`T9dPBhMEkKGoIJsELvBOz9Qz6Tz\
4UzKczZlzluzjpzhlzehzcdy`_xZWvWRuUOtRJsPFqOBlLGhJL\
cIPZFUUDYPBaK9fF6jA5o53s00x00z00y00x00v00u00t00s22\
q22p32o32n32l42k42j53i53h
}
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.
