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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Due to an unexpected rush, (these things happen), I was unable to complete the discussion for the sixth in the series of illustrations of a four-dimensional rotation. But all is not lost, for I substituted a nice, (there's that word again), minibrot from the M-Mix4 formula. And the 4-D series will continue one day behind schedule in tomorrow's FOTD. The expression that was iterated to produce today's fractal is 2Z^(-1.2)+0.4Z^(-12)+(1/C). I named the picture "Minibrot Interlude" because there is a Minibrot at the center and it is an interlude between the two parts of the 4-D rotation. I rated the image a 6, which seems about right. The parameter file is a slow one, requiring over 16 minutes to render, and making a download of the GIF image file the better choice. The image file may be found on Usenet at: The fractal weather today was partly sunny, mild in the morning but turning cold in the afternoon. The fractal cats, unable to decide where to spend the day, passed the time indoors in a bad mood. That's it for today. I'll return tomorrow with more time and further discussion about rotation in four-dimensional space. Until then, take care, and see you soon. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Minibrot_Interlude { ; time=0:16:22.22 -- SF5 on a p200
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+4.95915103552808600/-0.41325256410315570\
/1.798354e+007/1/-22.499 params=2/-1.2/0.4/-12/0/0
float=y maxiter=2400 inside=0 logmap=283 periodicity=9
colors=000gme<3>S`ROYOKVKGSGCPC3OA<3>QH7VF7`D6<2>q84\
w41<2>tD9<2>rLP<3>nXYnZ_maakdcieegcg<5>WSnUQoSOp<2>M\
IsKGtKHs<5>ONjPOiQPgQQfRRd<2>SSb<3>iD9<25>FW5DX5CY5<\
3>8_5<15>hoEjpElqF<2>stGuuHyxI<18>Xb9Va9U`8<3>OX7<3>\
QT5RS4RR4<2>TO2TO2WQB<2>bVaM9ndWiyre<3>qqaop`mp_kpZw\
uPjpY_lj<3>ZjSZjOZjJ<2>Zi61om<10>NYpPWpRVq<3>ZPq<3>y\
oF<3>ujEthEsgErfEqeDpcD<4>kgDjhCiiC<3>emCamNeoC<3>ew\
OevRezUezXezZZzcTzhJzm<3>WzjZziazidzhkzl<2>_z`czc<6>\
czc
}
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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