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Mandelbrot coral

Posted: June 6th, 2012, 3:38 am
by Temoto-kun
Hey guys, I discovered some interesting pattern using the Mandelbrot set.

More details in the attached zip file. It has two .rle patterns.

Re: Mandelbrot coral

Posted: June 6th, 2012, 8:11 am
by Hektor
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!

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

Re: Mandelbrot coral

Posted: June 8th, 2012, 3:30 am
by Temoto-kun
Is there at least some basis pattern for, if not all, the majority of corals?

Re: Mandelbrot coral

Posted: June 18th, 2012, 4:57 pm
by Tropylium
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.