August 2, 2011: Mandelbrot Affair | Aug. 1 | Aug. 3 | 2011 | FOTD Home |
Fractal
visionaries
and enthusiasts:
FOTD themes have been few and far between lately, so I have decided
that August will be a theme month. The theme for the August
FOTD
images is scenes deep in the Mandelbrot set.
Today's image lies not all that deep however, just deep enough to make
arbitrary precision math the better choice. The image, which
requires 12-1/2 minutes to finish when arbitrary precision math is
used, will calculate in only 2 seconds when standard math is used, but
with a slight degradation in quality. I have included two
parameter files -- one slow with high quality, and one fast with
compromised quality.
The scene is located on a filament extending from the northeast shore
line of the main bay of the first large minibrot on the main stem of
the Mandelbrot set. (the minibrot centered around -1.417)
The name "Mandelbrot Affair" seems fair enough. After all,
had it
not been for Mr. Mandelbrot, we might never have discovered
fractals. (Well, that does seem a bit unlikely, but the
discovery
might have been postponed quite a while.)
The rating of a 7-1/2 includes a bit of a reward for the coloring, to
which I gave a modicum of extra effort.
The calculation time can be either fast or slow, depending on the image
quality desired.
The slow, high-quality version of the finished image is posted on the
FOTD web site.
Tuesday brought sun filtered by high cirrus clouds, comfortable
humidity and a temperature of 86F 30C to Fractal Central. The
day
also brought joy to the hearts of the fractal cats, who got into a
friendly tussle that grew a little out of control. The humans
had
a typical day, which leaves next to nothing to remember the day
by. The next FOTD will be posted in 24 hours. Until
then,
take care, and when will the next crisis erupt?
Jim Muth
jimmuth@earthlink.net
START PARAMETER FILE=======================================
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END PARAMETER FILE=========================================