|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: A crisis has arisen here at Fractal Central -- it's FOTD time and I have no FOTD. But once again the MandelbrotMix4 formula has saved the day, this time by finding an image in 5 minutes that rendered in just over 1/2 minute. The crisis abated as fast as it arose. The expression -0.65*(Z^(-1.1))+1.35*(Z^(0.9))+(1/C) was iterated to produce the parent fractal, which consists of a comma-shaped Mandeloid with an ill-defined negative tail extending southeast. The FOTD itself pictures the negative tail jutting in from the upper left corner of the frame and vanishing behind a foreground hill near bottom center, while a decorative circular basin adds balance near the lower right corner. The parameter file is quite fast. And as always, the GIF image is available for those who would rather not run the parameter file. That image may be found on Usenet at: The fractal weather today was partly cloudy with lower humidity and a temperature of 80F (26.5C). By afternoon, the cats grew bored watching me work, and decided to spend the rest of the day on the porch, watching the neighborhood activities. The philosophy is slowly brewing, but will not ripen until after the 25th of this month. There will be two more FOTD's before I take a week's break to rest, relax, and ponder. Until tomorrow, take care, and see you then. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
A_Vanished_Tail { ; time=0:00:33.12 -- SF5 on a P200
; Version 2000 Patchlevel 15
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=t
center-mag=-0.0504946/0.395721/60.77519/1/9.999
params=-1/-1.1/1/0.9/0.35/0 float=y maxiter=5000
inside=0 logmap=2 periodicity=10
colors=0008GD6CD59D<3>KQROUUSYXVa_<3>pku<3>_SjWOgRJd\
<3>B0V<3>WPN`VLe`JjfH<7>NWRKVSHUU<3>6PY<5>NTXQUXTVX<\
3>cXX<5>LYKHYIEYG<3>2Y8<3>ElIHpKKsM<9>CQVBNVBKW<3>88\
Z<8>INIJOGKQE<2>NV8OW7NZ7<3>KiAKkALiD<7>SZTSXVTWXUUZ\
VT`VSb<3>aQdcQdePe<3>kOfVvS<13>TecTddTbe<3>TZh<14>Yp\
`Zq`Zr_<3>_vZ<3>yGD<10>PDJLDJICK<3>5CL<8>EHJFHJGII<3\
>KJIMKJOLJ<14>o_Mq`MsaN<3>zeN<7>wXgwWjvVl<3>uRwFWC<2\
>AKD
}
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==================================
|
times.
