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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: When I saw today's image, it reminded me of something that I couldn't place. Then I recognized the pattern around the midget as a crudely-formed Maltese cross. The name "Maltese Minibrot" followed shortly. IMO, it's an above-average image with an unusually vivid purple, well worth the rating of 7. The iterated formula takes 0.01 part of Z^(-1.5) and adds one part of Z^2 to it. 1/100th part of Z^(-1.5) is very small, but that tiny amount makes a world of the difference in the appearance of the resulting parent figure. The parent fractal appears as a Mandelbrot set with its shorelines obliterated by clutter, its main bay filled with an island of debris, and its main bud clogged to the extent that only a tiny hole remains in the center of the debris. This hole is shaped like a curiously distorted mini-M-set, which has started to split apart at both its east and west extremities. Today's midget lies in the northwest suburbs of a larger midget, which lies just inland of the south shore of the East Valley of the distorted M-set that lies at the center of the mass of debris clogging the main bud of the parent M-set. It takes longer to describe the location than it does to back out of today's image and see the location in person. As for seeing today's image itself -- that can be accomplished in 8-1/2 minutes or less by running the parameter file, or even faster by visiting Paul's web site at: Today's fractal weather was again perfect -- blue skies, light winds, and a temperature of 79F 26C. The fractal cats had a great day, climaxed by a nip of catnip, which had them rolling in ecstasy. They then spent the rest of the day sleeping it off. The Philofractal list is once again operational, but at this time only a few have re-subscribed. I'll hold off on the fractal philosophy until I see a reasonable degree of activity on the philo-list. I fear that if I posted the wisdom now, very few would see it. Well, I notice that the clock on the wall above me says 9:40am, signalling that the moment to get to work has arrived, so until next time, when I'll try to describe the geography of an imaginary four-dimensional hyperspherical planet, take care and don't forget to re-subscribe to philofractal. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Maltese_Minibrot { ; time=0:08:27.96--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=ident passes=1
center-mag=-1.42231500123432000/-0.005507167133372\
09/4.257051e+008/1/-15.0000041368634047/-6.0119504\
0066809794e-005 params=0.01/-1.5/1/2/0/0 float=y
maxiter=1200 inside=0 logmap=150
colors=000F90CB08C05E03E00F00F00G00E00E33C75CB9BFC\
9JF8NI7RM4VO3ZR1bU0fY0j`0nb0sd0ud0ub4ua8u`Cu`GuZKu\
YOuXSuXXuVauUeuSiuRmuRquQuuVzu`zufzuYzjQw`GnQFfFCZ\
4BS0CV0EX4FY8G`CIaGJbKKdOMfSNhXOi`QldRmhSnlUppVstX\
txYuzYtzaizdYwfKsi8mj0lj0hj0em3dn5bp9bsCatG`uJYuNX\
uQUwURwXOw`NxbKxfIyiFymEypBzt8zw5zy4wx8sxBnxFlxIhw\
MdwOawSYwVUuZRuaNueJuhIsqGujFweFx`EyVEzQCzKCzFBz9B\
z4Gz0Nz0Vz0bz1jz4qz8lzBfzF`zIVzMRzOOzSNzVMzZMzbNze\
OziOzlQzpRwsRpwSiyUbzUdzVjzZmzbjzfezj`znUzqNzbhtQz\
dRzbRzaRzaRy`Ry`RxZRxZSwYSwYSuXSuXStVStVSsUSsUUqXV\
qYXpZYp`Zpa`ndanebmfdmhemifllhlmijnjjpjjqqhuweyzdz\
zbzzayzayy`xyZwyZwyYuxYuxXtxVswVswUqwSpwSpuRnuRnuQ\
mtOltOltNjtNjqMlpMlnMmmMmjKniKnhKnfKpeKpbJqaJq`JqZ\
JsYJsVItUItSIuRIuQIuNGwMGwKGxJGxIGxKQzMYzNezQnzRwz\
SzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUz\
zUzzUzzUzzUzzUzzUzzUzzUzz
}
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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times.
