Mike,
...this image has a very prominent 6 way symmetry... [which] ...eventually breaks down and returns to 3 way...
There are some blue 3-sided figures in each of the 6 blue "arms" of the large 6-sided snow crystal-like figure, too. There are also 6 small, dark "heads" between each of the 6 blue "arms" that look a bit like the head of the figure in the painting "The Scream". A very nice winter fractal... What does the parent fractal look like? <---<< - Hal Lane ######################## # hallane@earthlink.net ######################## ---------------------------------------------------- Author: Mike Frazier Date: 2014-02-19 18:16 -500 To: Fractint and General Fractals Discussion Subject: [Fractint] Post 20140219 This fractal is a parallel resistor formula of the following equation: z = 1 / (1 / (z * (cos(z) - 1) - pixel) + 1 / (z ^ 3 + pixel)) The dominant z term is z^3 so it should have 3 way symmetry but this image has a very prominent 6 way symmetry. I zoomed into the center and the 6 way symmetry eventually breaks down and returns to 3 way and ends in a normal z^3 minibrot. The fractal is a deep zoom at a magnification of about 1e21 so I won't post the PAR file. Here is a link to an image: http://dl.dropboxusercontent.com/u/33642054/image/post_20140219_640_5.jpg -- Mike Frazier www.fracton.org ---------------------------------------------------- --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com
Am 20.02.2014 04:15, schrieb Hal Lane:
Mike,
...this image has a very prominent 6 way symmetry... [which] ...eventually breaks down and returns to 3 way... There are some blue 3-sided figures in each of the 6 blue "arms" of the large 6-sided snow crystal-like figure, too.
There are also 6 small, dark "heads" between each of the 6 blue "arms" that look a bit like the head of the figure in the painting "The Scream".
A very nice winter fractal...
What does the parent fractal look like? <---<< Probably like this, incl a zoom similar to the posted image https://www.dropbox.com/sh/rfalynut4y6gw21/J9LH3eEOTV cheers, Albrecht
participants (2)
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Albrechtx -
Hal Lane