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Fractal of the Day
by Jim Muth
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Fractal visionaries: Today's prize-winner fractal is named in honor of that not quite so famous American abstract artist, J. Pollock. The resemblance to the paint drippings which made him famous is quite apparent. I achieved such an effect by taking a nondescript Rectangular plane fractal and redoing it with the inside fill set to epsilon cross. I'm not sure how this option achieves its effects. I think it colors the image according to whether the points' orbits come closest to the real or imag axis. Until recently I had never used this option, considering such a fancy fill method artificial, but I have now had second thoughts about fractals. There is no such thing as a "natural" or "pure" fractal other than the bare formula. And since a natural fractal doesn't exist, it makes no sense to try to maintain fractal purity. And since I no longer must try to keep my fractals pure, I will be able to use the entire range of Fractint's coloring options without compunction. For best effect, today's fractal should be drawn at a minimum resolution of 1024x768. The finished image has been posted to a.b.p.f. and a.f.p. and is available at: Until tomorrow then, may your fractals be infinitely beautiful. Jim Muth jamth@mindspring.com |
START FORMULA======================================================
Rectangular {; Jim Muth
z=flip(real(pixel))+real(p1),
c=flip(imag(pixel))+imag(p1):
z=sqr(z)+c,
|z| <= 36
}
END FORMULA========================================================
START PARAMETER FILE===============================================
Pollock { ; 7 minutes at 100mhz, 1024x768
reset=1960 type=formula formulafile=jim.frm formulaname=Rectangular
passes=1 center-mag=-7.77156e-016/-2.05391e-015/1.369962/0.6701
params=0.42/0.33 float=y maxiter=500 bailout=100 inside=epsiloncross
logmap=yes symmetry=origin periodicity=10
colors=000Wgq00ZTal<4>LN_000HHVGETEBQzsfz0dD8O<6>ObZm``db_Xd_KhZ<6>q`dg9\
z<3>rVhu_dve_vjWgEJnRMucPvoSenU3yL<9>gYkHRiOSjYFK<12>BQiGBN<4>9Up8Yv4rN5\
l`6fn7`zHdvRhqQ_A`np<5>`hd`gb`fa`e`<12>`ZTUZE<8>mZugrnkhtklzmgznbz<2>rQu\
sLsv8y<7>nd_Dyz<9>Spf<9>OfiOeiPbe<2>NgqMhuNmzMkz<5>LaoL`mLZj<5>KPZCQW<10\
>XKYTDl<6>aQNcOH<12>Xa`XbaWed<4>UrqBkzFmz<4>Yvraxpgzqfzp<3>bwoavnatn<4>X\
olZrm<7>Tbl`pyZmvXjs
}
END PARAMETER FILE=================================================
START 19.6 FILE====================================================
Pollock { ; 7 minutes at 100mhz, 1024x768
reset=1960 type=formula formulafile=jim.frm formulaname=Rectangular
passes=1 center-mag=-7.77156e-016/-2.05391e-015/1.369962/0.6701
params=0.42/0.33 float=y maxiter=500 bailout=100 inside=epsiloncross
logmap=yes symmetry=origin periodicity=10
colors=000Wgq00ZTal<4>LN_000HHVGETEBQzsfz0dD8O<6>ObZm``db_Xd_KhZ<6>q`dg9\
z<3>rVhu_dve_vjWgEJnRMucPvoSenU3yL<9>gYkHRiOSjYFK<12>BQiGBN<4>9Up8Yv4rN5\
l`6fn7`zHdvRhqQ_A`np<5>`hd`gb`fa`e`<12>`ZTUZE<8>mZugrnkhtklzmgznbz<2>rQu\
sLsv8y<7>nd_Dyz<9>Spf<9>OfiOeiPbe<2>NgqMhuNmzMkz<5>LaoL`mLZj<5>KPZCQW<10\
>XKYTDl<6>aQNcOH<12>Xa`XbaWed<4>UrqBkzFmz<4>Yvraxpgzqfzp<3>bwoavnatn<4>X\
olZrm<7>Tbl`pyZmvXjs
}
frm:Rectangular {; Jim Muth
z=flip(real(pixel))+real(p1),
c=flip(imag(pixel))+imag(p1):
z=sqr(z)+c,
|z| <= 36
}
END 19.6 FILE======================================================
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times.
