September 6, 2011: An Act of Numbers | Sept. 5 | Sept. 7 | 2011 | FOTD Home |
Fractal
visionaries
and enthusiasts:
Today, we take a short trip back into the depths of the Mandelbrot set,
where we check the tip of a minor filament extending from the northeast
lobe of the main bay of the large minibrot on the main spike of the
M-set.
We find today's scene at a depth of over 10^47, where the filaments
have become so numerous that they form a circular pattern that almost
appears to be a series of overlapping concentric disks.
The name "An Act of Numbers" is true of all fractals, and perhaps true
of the sub-atomic realm as well. I'll not speculate on the
'real'
physical world, which after all is composed of sub-atomic particles.
The rating of an 8 shows that there is much to yet be found in the
moderately deep depths of the Mandelbrot set.
The calculation time of 7-1/2 minutes is surprisingly fast for an image
of such magnitude.
Steady all-day rain made today a day to be forgotten here at Fractal
Central. The temperature of a chilly 63F 17C added nothing at
all. The fractal cats made the best of things from their
indoor
watch posts.
The humans did what humans do in bad weather -- they took care of
indoor tasks. The next FOTD will be posted in 24
hours.
Until then, take care, and what would happen if we changed the numbers
that rule the cosmos?
Jim Muth
jimmuth@earthlink.net
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