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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: No, there is no mistake. Today's FOTD actually rates a 9 -- at least in my opinion. This is only the third time since I began rating my FOTD's this past Feb 6th that I have been able to give such a distinguished rating to a fractal. I almost gave a rating of 9 to yesterday's FOTD, but now I'm glad that I settled for the 8, since today's picture is notably better and well worth the 9. Now if I can only find a 10 . . . I gave the coloring of today's image the extra effort that I failed to give yesterday's picture, and that extra effort made the difference, as both underlying images have about the same potential. I named today's picture "A Eutectic Mixture" because the parent fractal appears to be the best that can be obtained from this particular alloy of negative powers of Z. The iterated fractal formula that drew today's image is Z^(-0.09)+15Z^(-15)+(1/C) -- a harmless expression that leaps to life when it is iterated. The parameter file takes over 18 minutes to render on a Pentium. The GIF image file saves time by downloading in a far shorter time. That download may be found on Usenet at: The fractal weather today was cloudy and remarkably cool for this, the hottest time of year. The afternoon temperature of 62F (16.5C) was quite a bit too chilly for the cats. The steady light rain that set in during midday took all thoughts of the outdoors from their minds. I was too busy fractaling to do much philosophizing today. I'll be fractaling again tomorrow, so there's no guarantee that I'll have philosophy then either. But check anyway. Sometimes the strangest things happen. Until next time, take care, and a great fractal can turn a cloudy day sunny. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
A_Eutectic_Mixture { ; time=0:18:37.79 -- SF5 on a P200
; Version 2000 Patchlevel 9
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+4.69537095997045400/+0.32186770158987670\
/4.039309e+010/1/-107.499 params=1/-0.09/15/-15/0/0
float=y maxiter=2100 inside=0 logmap=368
periodicity=10
colors=000R0I<3>S0LT0MT0NU0OU0PW0Q<2>X0TY0UY0T<3>_0P\
`0O`0Na0Ma0Kb0Jb1J<14>IAGGAGFBGDCGCCFBDF9CF8AF6CF5CF\
2DG<24>_`BaaAbbA<3>geA<3>OiSJjXEj`<3>FmUFmSFnQFoPFoN\
IpLPpJ<3>hsDmsBmt9ru9wt8wq8qn7lk7gh6<2>P_5OX5<3>SL3T\
I3UF2VC2V81<20>a9Ab9Ab9B<2>c9Cc9Ce7A<6>VKIUMJSOK<2>O\
UNMWOJYR<8>QWMRWLSWLTWK<3>WTIXSIXRHYQHZPG<3>nLErKEvK\
DzVB<3>iTFeTHaTK<3>LSWERZBUaIYd<2>khmilp<11>JrJHsGFs\
D<3>6u2<17>FhWGhYGgZ<2>IecIdeHad<3>IggZXL
}
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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