Title: very simple sierpinski triangle in conways game of life Post by: cKleinhuis on April 11, 2014, 11:10:20 PM 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/ (http://golly.sourceforge.net/ticker.gif) 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 Title: Re: very simple sierpinski triangle in conways game of life Post by: Dinkydau on April 20, 2014, 02:18:53 PM 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.
Title: Re: very simple sierpinski triangle in conways game of life Post by: youhn on April 20, 2014, 09:02:54 PM Check out replicator.rle in Golly !
Code: #C All patterns in this rule replicate. Watching it move is better than the slideshow. But to get an impression: (http://i.imgur.com/wDMEkqm.png) (http://i.imgur.com/csK5N6b.png) (http://i.imgur.com/jzPn3ZG.png) (http://i.imgur.com/udpAFpA.png) (http://i.imgur.com/Dc5tV8Y.png) (http://i.imgur.com/N1exQUb.png) (http://i.imgur.com/c7MPzaG.png) Dinkydau, Thanks for brining this to our attention! Title: Re: very simple sierpinski triangle in conways game of life Post by: cKleinhuis on April 20, 2014, 09:26:29 PM Dinkydau, Thanks for brining this to our attention! that menger replicator is cool, but it was me :( :) Title: Re: very simple sierpinski triangle in conways game of life Post by: youhn on April 20, 2014, 09:45:16 PM Oh, sorry :embarrass: .. my bad. Thanks cKleinhuis!
Title: Re: very simple sierpinski triangle in conways game of life Post by: Dinkydau on April 20, 2014, 09:52:05 PM 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:
(http://i538.photobucket.com/albums/ff342/formule/life_sierpinski.png) Also the two triangles fit nicely together because of that power of 2. Title: Re: very simple sierpinski triangle in conways game of life Post by: cKleinhuis on April 20, 2014, 11:32:17 PM it is very symetric, indeed, how did you count it ? i was unable to get the scripting running :(
Title: Re: very simple sierpinski triangle in conways game of life Post by: Dinkydau on April 21, 2014, 06:31:10 PM 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.
Title: Re: very simple sierpinski triangle in conways game of life Post by: cKleinhuis on April 21, 2014, 07:19:32 PM ah, sure, :)
Title: Re: very simple sierpinski triangle in conways game of life Post by: marius on April 21, 2014, 10:04:12 PM ah, sure, :) .rle is also pretty easy to hack manually. I'd wager something like: Code: #draw line. 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. Code: ./boxplorer cfgs/syntopia/life/ --lifeform=fermatprimecalculator_106.lif Title: Re: very simple sierpinski triangle in conways game of life Post by: knighty on April 23, 2014, 01:07:30 PM Crazy Mandelbrot set in golly (http://cp4space.wordpress.com/2012/09/09/big-mandelbrots/). :crazyeyes:
Title: Re: very simple sierpinski triangle in conways game of life Post by: TheRedshiftRider on July 13, 2014, 03:49:25 PM 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. (http://i.imgur.com/MgOTPnM.jpg) Title: Re: very simple sierpinski triangle in conways game of life Post by: TheRedshiftRider on July 13, 2014, 04:29:47 PM And I found an other simple rule to make a siepinski triangle with a single dot:
w22 Title: Re: very simple sierpinski triangle in conways game of life Post by: kram1032 on July 13, 2014, 09:01:04 PM Toofgib that's an awesome pattern! Nicely in between man-made corners and organic patterns. I really like the texture of it.
Title: Re: very simple sierpinski triangle in conways game of life Post by: TheRedshiftRider on August 17, 2014, 11:44:46 AM With these rules its also possible to create fractal patterns using the same method:
B2/S01234H B3/S012345 B178/S124567 B12/S1234567 B13/S1234567 Title: Re: very simple sierpinski triangle in conways game of life Post by: M Benesi on August 19, 2014, 04:04:54 AM Wow... cool stuff Christian. I forgot about Golly. :D
Title: Re: very simple sierpinski triangle in conways game of life Post by: DarkBeam on January 21, 2015, 05:54:36 PM That is very nice stuff guys :beer: |