Mandelbrot coral

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
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Temoto-kun
Posts: 2
Joined: June 6th, 2012, 3:32 am

Mandelbrot coral

Post by Temoto-kun » June 6th, 2012, 3:38 am

Hey guys, I discovered some interesting pattern using the Mandelbrot set.

More details in the attached zip file. It has two .rle patterns.
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mandelbrot-coral.zip
Mandelbrot coral (.rle)
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Hektor
Posts: 89
Joined: November 3rd, 2011, 2:37 pm

Re: Mandelbrot coral

Post by Hektor » June 6th, 2012, 8:11 am

The symmetry axis you noticed in these patterns is quite common in coral's kind of rule.
Every symmetric starting seed generates a symmetric pattern.
For example:

Code: Select all

x = 8, y = 7, rule = B3/S45678
2b3o$2b3o$2b3o$8o$2b3o$2b3o$2b3o!

Code: Select all

x = 16, y = 16, rule = B3/S45678
15bo$15bo$15bo$14b2o$14b2o$14b2o$14b2o$14b2o$14b2o$14b2o$14b2o$14b2o$
14b2o$14b2o$3b13o$16o!

Temoto-kun
Posts: 2
Joined: June 6th, 2012, 3:32 am

Re: Mandelbrot coral

Post by Temoto-kun » June 8th, 2012, 3:30 am

Is there at least some basis pattern for, if not all, the majority of corals?

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Tropylium
Posts: 421
Joined: May 31st, 2011, 7:12 pm
Location: Finland

Re: Mandelbrot coral

Post by Tropylium » June 18th, 2012, 4:57 pm

Temoto-kun wrote:Is there at least some basis pattern for, if not all, the majority of corals?
I'm not sure what you're asking here… but while I have not seen much in-detail study of Coral, I would not be surprized if the growth could be largely broken down to a number of recurring growth shapes. After all, the activ region is quite thin and split to separate areas, it should not be able to support as much pseudo-randomness generation as an entirely chaotic rule. Still the feedback from flake edges laid before might suffice to keep variation going for a long while.

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