August 27, 2011: Iterative Splendor | Aug. 26 | Aug. 28 | 2011 | FOTD Home |
Fractal
visionaries
and enthusiasts:
At a magnitude of over 2*10^54, Today's image is deep enough to
honestly be called 'deep'. And at a real coordinate of
+0.471... it
is also located far enough east to be on the easternmost fringe of the
Mandelbrot set.
The tiny minibrot at the center is a second-order one that lies in the
basin of a larger but still tiny minibrot on a filament in the extreme
eastern outskirts of the M-set. The convergence patterns
around
second-order minibrots are subject to several points of
anti-bifurcation, which today's image demonstrates to perfection.
The name "Iterative Splendor" appeared from nowhere when I turned off
my thought processes and let things take their natural
course.
The name could really be applied to any fractal, though some images
certainly do have more splendor than others.
The rating of a 9 includes a full point for the coloring, which
occupied the better part of one hour.
While still slow, the calculation time of 28 minutes is unusually fast
for an image of such magnitude. This speed is quite
unexpected,
since I have seen images of magnitudes around 10^20 that take over 6
hours to finish.
The day here at Fractal Central began with clouds and light
sprinkles. The clouds and sprinkles continued through the
day,
with the forecast of heavier rain and wind arriving during the
night. No fractal cat ever lets a little wind disturb him, so
our
fractal cats spent the day undisturbed. The lack of enough
attention always annoys them however.
The fractal people spent the day enjoying one of the slow days that are
becoming more frequent since our biggest customer went away.
Tomorrow will probably be a repeat. The next FOTD will be
posted
in 24 hours. Until then, take care, and when we say 'science
says' we mean that men who call themselves scientists have determined
the truth of the claim through repeated trial and error.
Jim Muth
jimmuth@earthlink.net
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