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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: When I first saw today's fractal, it reminded me of a wooly mammoth, one of those hairy, elephant-like animals that roamed much of the earth until early man hunted them to extinction. But after further consideration, I decided I was looking at a roughly carved monument, perhaps a religious idol created and worshipped by some forgotten tribe of hominids. When I was unable to decide what the monument commemorated, I named the image "Monument to Nothing". The picture rates an above average 7. I especially like the way the foreground features stand out in contrast to the vaguely patterned purplish background. Actually, the foreground objects are on the highest iteration. Fractals are not always what they seem. The expression Z^1.009+C was iterated to produce the image. The MandelbrotBC1 formula, which displays remote parts of the infinite complex-log spiral, assured that this near-linear expression produced at least a little chaos. Actually, it produces quite a bit of chaos. The entire surrounding area, which lies near the shore of the parent fractal's lake, resembles nothing as much as a crazy quilt, with apparently random patterns and textures everywhere. The image renders in considerably less time than yesterday's 2-hour dawdler, but at almost 27 minutes on a Pentium 200mhz, it is certainly no quickie. My advice is to give Paul and Scott a chance to render and post the image to their Web sites at: The fractal weather today featured a temperature of 85F (29.5C) followed by a tornado scare. Luckily, the twister fizzled into just another heavy thunder-storm by the time it arrived at Fractal Central. But the crackling lightning and roaring winds sent the fractal cats scurrying for safety under the bed. They are just now getting over their scare. That's it for today, fractal fans. The cats have recovered, and I'll return in 24 hours or so with another fractal with no quadratic midget. Until then, take care, and beware of fractals lurking in dark places. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
MonumentToNothing { ; time=0:26:47.66--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC1 function=floor passes=1
center-mag=+0.6528807149373907/+1.259183430170431/\
286.6663/1/-49.999 params=1.009/0/120/2400 float=y
maxiter=1800 inside=255 logmap=645 periodicity=10
colors=000WUzWUzXUzYUz_Uz`UzaUzcUzbUzbUzaUzaUz`Uz`\
Uz`Uz_Uz_UzZUzZUzYUzYUzYUzaUzdUzgUzjUzmUzpUzsUzxUz\
vUztUzsUzqUzoUznUzlUzkUziUzgUzfUzdUzcUzaUz_UzZUzXU\
zWUzUUzSUzRUzPUzFUzKUzOUzSUzWUz_UzcUzgUzkUzqUzpUzo\
UznUznUzmUzlUzkUzkUzjUziUziUzhUzgUzfUzfUzeUzdUzfUz\
eUzdUzcUzbUzaUzaUz`Uz_UzZUzYUzYUzXUzWUzVUzUUzUUzTU\
zSUzRUzQUzQUzPUzOUzNUzMUzMUzNUzOUzPUzPUzQUzRUzSUzS\
UzTUzUUzUUzVUzWUzXUzXUzYUzZUz_Uz_Uz`UzaUzaUzbUzcUz\
dUzdUzeUzfUziUzfUzcUz`UzZUzWUzTUzQUzOUzLUzIUzFUz8U\
zDUzIUzNUzRUzWUz`UzeUziUznUzsUzWUziUzwUzvUzuUztUzt\
UzsUzrUzqUzqUzpUzoUzoUznUzmUzlUzlUzkUzjUziUziUzhUz\
gUztUymUxgUwaUvVUuPZtKcsKhrUmqcmpmrompohnnclmZklUi\
lPgkJejJdiJbhJ`hJZgIYfIWeIUeISdIRcIPbINaILaIK`II_I\
GZIEZIDYIBXI9WI7WI5WI2VI0VI0VI0UI0UI0TI0TI0SI0SI0R\
I0RI0QI0QI0PI0PI0OI0OI0NI0NI0MI0MI0LI0LI0KG0KH0KI0\
KI0KJ0KJ0KK0KK0KL0KM0KL0K
}
frm:MandelbrotBC1 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(p/(2*PI))
r=real(p2)-q
Z=C=Pixel:
Z=log(Z)
IF(imag(Z) > r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z| < a }
END 20.0 PAR-FORMULA FILE==================================
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times.
