Good Evening,

I just joined the group. I am not an expert and just started looking at cellular automata as a topic for a computer algebra class I teach a short time ago.

I discovered (rediscovered?) a couple of simple cellular automata while preparing some material for this class.

Here is a link to a page I made about them: https://www.wcupa.edu/sciences-mathematics/mathematics/jMcLaughlin/cellauto.aspx

I would be grateful for any information anyone can give about them, particularly pointers to any sources that discuss them, if they are not new.

Here are some links to videos I made of them running:

First in the plane: https://www.youtube.com/watch?time_continue=1&v=xd5CQ2ZaUJM

First on a torus: https://www.youtube.com/watch?v=PLLFox1W7Xg&t=2s

Second in the plane: https://www.youtube.com/watch?v=KbCMh1PpqJ8

Second on a torus: https://www.youtube.com/watch?v=HHu8xZLGEs4&t=4s

They also appear to have some quite interesting mathematical properties - check the page I linked to above.

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James McLaughlin a écrit :

Good Evening,

I just joined the group. I am not an expert and just started looking at cellular automata as a topic for a computer algebra class I teach a short time ago.

I discovered (rediscovered?) a couple of simple cellular automata while preparing some material for this class.

Here is a link to a page I made about them: https://www.wcupa.edu/sciences-mathematics/mathematics/jMcLaughlin/cellauto.aspx

I would be grateful for any information anyone can give about them, particularly pointers to any sources that discuss them, if they are not new.

[...]

Hi James,
Your first automata is very well known and studied under the name
"replicator".
A Google search of "B1357 S1357" will give you many references.
Regards

--- SoupGate-Win32 v1.05
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On Monday, December 10, 2018 at 8:40:37 AM UTC-5, rosab wrote:

James McLaughlin a écrit :

Good Evening,

I just joined the group. I am not an expert and just started looking at cellular automata as a topic for a computer algebra class I teach a short time ago.

I discovered (rediscovered?) a couple of simple cellular automata while preparing some material for this class.

Here is a link to a page I made about them: https://www.wcupa.edu/sciences-mathematics/mathematics/jMcLaughlin/cellauto.aspx

I would be grateful for any information anyone can give about them, particularly pointers to any sources that discuss them, if they are not new.

[...]

Hi James,
Your first automata is very well known and studied under the name "replicator".
A Google search of "B1357 S1357" will give you many references.
Regards

Thanks very much for the response.
That search string brought up many interesting pages.

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