February 5, 2012: A Colorful Minibrot | Feb. 3 | Feb. 6 | 2011 | FOTD Home |
Fractal visionaries and enthusiasts:
Today's
image is a
scene in the parent fractal that results when a Mandelbrot set is
infected with some Z^(-5). A reasonably normal M-set lies at
the
center of this parent, but this M-set is surrounded by a far larger
than expected field of chaos. This parent fractal is
surprisingly
sensitive to changes in the bailout radius, which may be changed by
changing the real(p2) parameter.
Today's scene lies in the East Valley of a tiny M-set in the northwest
part of the field of chaos surrounding the large M-set. The
broad
patterns are typical of those in the East Valley of the classic
Mandelbrot set. This similarity held the rating to a 7, but
the
finer detail within the broad patterns bring an extra richness to the
otherwise humdrum scene.
The name "A Colorful Minibrot" simply describes the image.
The
calculation time of 9-1/2 minutes is far too high a price for the
image, but relief may be found on the FOTD web sites.
The trip back to Old Fractal Central came off without a hitch
yesterday, though we did run into some scenic but otherwise harmless
snow on the return trip. When we reached FC and climbed onto
the
fractal porch, we heard a chorus of cat voices from inside
FC.
The fractal cats had been alone all day and were venting their anger.
A typical mix of sun and clouds prevailed here at Fractal Central
today, with a temperature of 41F +5C. There was too little
sun
for the sun-loving fractal cats and too many clouds for the
fair-weather humans.
The next FOTD will be posted in 24 hours. Until then, take
care,
and Quantum Mechanics appears so weird because we try to fit the
behavior of sub-atomic particles into the behavior patterns of the
objects of the classical world that we observe with our senses.
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
A_ColorfulMinibrot { ; time=0:09:30.00 SF5 at 2000MHZ
reset=2004 type=formula formulafile=basicer.frm
formulaname=FinDivBrot-2 function=recip passes=1
center-mag=-1.84531759102023/+1.212468157907445/\
5.376973e+010/1/-45/0 params=-5/500/0/0 float=y
maxiter=5000 inside=0 logmap=-883 periodicity=6
colors=000W9OX9OW9OV9OU9OT8PS8PR8PQ8PP7NO8PN9QMARL\
BSKCTKDUKEVKFWKGXKHYKIZKJ_KK`KLbKMcKNdKOeKPfKQgKRh\
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scIucIvmIwmIxmIymMymQymUymYymazzezzizzmzzuzzqzznzz\
kzzgzzdzzazzYzzVzzSzzOzzLzzIzzEzzBzz8zz9zzAzzBzzCz\
zDzzEzzFzzFzzGzzHzzIzzJzz }
frm:FinDivBrot-2 { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
esc=(real(p2)+16), b=imag(p1):
z=(b)*(z*z*fn1(z^(a)+b))+c
|z| < esc }
END PARAMETER FILE=========================================