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March 20, 2011: It's All Circles March 18 March 22 2011 FOTD Home
 Rating 6
  
circles

Fractal visionaries and enthusiasts:

The scale of minibrots lying very deep in the Mandelbrot set is incredible enough, even awesome.  At the scale of today’s image the entire M-set would be as large as the entire galaxy, if not many times larger.  It well might be as large as the entire visible universe, which is about 27,000,000,000 light years in circumference.  It is large enough that the chance of today’s scene having ever appeared on any screen is effectively zero.  But with all this awesome size behind the image, why does it rate only a 6?

The answer lies in the name of the image — “It’s All Circles”.

Just as the very high order Mandeloids tend to develop a boring similarity, these super-deep minibrots tend to grow boringly similar.  As today’s image shows, they tend to consist of layer upon layer of concentric circles, with minor changes in the circular decorations, but with an overall similarity that is striking at first glance but soon grows boring.  (Not all minibrots at this depth are boring circles however.  There are exceptions, some of which I might post as future FOTD’s.)

Still, the fact that today’s circular image lies at a depth of 2*(10^34) makes the effort of running the parameter file worthwhile.

The image is located in the basin of a larger minibrot in the basin of a still larger minibrot in the basin of an even larger minibrot on a filament extending inland from the northeast shore line of the large minibrot on the main stem of the Mandelbrot set.

The calculation time of 19-2/3 minutes is surprisingly fast for such a deep scene.  And even this reasonable time may be saved by viewing the finished image on the FOTD web site at:

http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html

The original FOTD web site is still available at:

http://www.Nahee.com/FOTD/

Friday here at Fractal central was summer-like, with lots of sun and a temperature of 77F 25C.  The new fractal cats, who have a much less adventurous life than the old fractal cats had, spent Friday watching for stray cats and worrying about their next meal.  Saturday dawned cloudy, but the clouds cleared away by midday, leading to a pleasant afternoon with a high of 50F 10C.  The next FOTD will be posted in 48 hours, more or less.  Until whenever, take care, and be with it, fractal pro.

Jim Muth
jamth@mindspring.com


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END PARAMETER FILE=========================================