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cKleinhuis
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« on: April 11, 2014, 11:10:20 PM » |
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recently i am playing with a game of life simulator, because i stumbled over a very huge game of life pattern collection, but what i wanted to discuss/publish is a simple sierpinski generator that is very easy to reproduce use golly for simulation: http://golly.sourceforge.net/ so, the thing is, draw a very long line running the simulation yields a sierpinski triangle and this is a nice wiki about game of life patterns: http://www.conwaylife.com/wiki/Main_Page |
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divide and conquer - iterate and rule - chaos is No random!
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Dinkydau
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« Reply #1 on: April 20, 2014, 02:18:53 PM » |
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That's very cool. I didn't know so much was possible with the game of life, but I never actually played it before either. It's interesting that at first a sierpinski triangle indeed appears, but it becomes distorted as time goes on, until it's stable.
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youhn
Fractal Molossus
Posts: 696
Shapes only exists in our heads.
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« Reply #2 on: April 20, 2014, 09:02:54 PM » |
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cKleinhuis
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« Reply #3 on: April 20, 2014, 09:26:29 PM » |
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Dinkydau,
Thanks for brining this to our attention!
that menger replicator is cool, but it was me   |
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divide and conquer - iterate and rule - chaos is No random!
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youhn
Fractal Molossus
Posts: 696
Shapes only exists in our heads.
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« Reply #4 on: April 20, 2014, 09:45:16 PM » |
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Oh, sorry  .. my bad. Thanks cKleinhuis! |
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Dinkydau
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« Reply #5 on: April 20, 2014, 09:52:05 PM » |
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I've decided to make a line of length 2^16 = 65536 and let it iterate for a while. It took a very long time. The result is a better approximation:  Also the two triangles fit nicely together because of that power of 2. |
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cKleinhuis
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« Reply #6 on: April 20, 2014, 11:32:17 PM » |
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it is very symetric, indeed, how did you count it ? i was unable to get the scripting running |
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divide and conquer - iterate and rule - chaos is No random!
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Dinkydau
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« Reply #7 on: April 21, 2014, 06:31:10 PM » |
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Golly displays the amount of living cells as the population. If you only have a line, the length of the line is the population. I drew the line with the pencil tool which was also quite difficult to do.
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cKleinhuis
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« Reply #8 on: April 21, 2014, 07:19:32 PM » |
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ah, sure, |
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divide and conquer - iterate and rule - chaos is No random!
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marius
Fractal Lover
Posts: 206
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« Reply #9 on: April 21, 2014, 10:04:12 PM » |
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ah, sure, .rle is also pretty easy to hack manually. I'd wager something like: #draw line.
x = 65536, y = 1, rule = B3/S23
65536o$!
I added bunch of .lif lifeforms to boxplorer2 a while back, just running brute-force /w gpu. And only at screen resolution. And with wrap-around. Still, mesmerizing to watch how some of the more complex structures self-destruct. E.g. ./boxplorer cfgs/syntopia/life/ --lifeform=fermatprimecalculator_106.lif
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TheRedshiftRider
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« Reply #11 on: July 13, 2014, 03:49:25 PM » |
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Very interesting. Ive also tried this: I iterated this rule on four cell: B2/S12345678 And this was the result, it looks like this is a fractal.  |
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« Last Edit: July 13, 2014, 03:53:38 PM by Toofgib »
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Motivation is like a salt, once it has been dissolved it can react with things it comes into contact with to form something interesting.  |
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TheRedshiftRider
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« Reply #12 on: July 13, 2014, 04:29:47 PM » |
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And I found an other simple rule to make a siepinski triangle with a single dot:
w22
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Motivation is like a salt, once it has been dissolved it can react with things it comes into contact with to form something interesting. |
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kram1032
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« Reply #13 on: July 13, 2014, 09:01:04 PM » |
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Toofgib that's an awesome pattern! Nicely in between man-made corners and organic patterns. I really like the texture of it.
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TheRedshiftRider
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« Reply #14 on: August 17, 2014, 11:44:46 AM » |
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With these rules its also possible to create fractal patterns using the same method:
B2/S01234H
B3/S012345
B178/S124567
B12/S1234567
B13/S1234567
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Motivation is like a salt, once it has been dissolved it can react with things it comes into contact with to form something interesting. |
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