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  • New Cellular Automata?

    From James McLaughlin@21:1/5 to All on Wed Nov 28 14:33:05 2018
    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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  • From rosab@21:1/5 to All on Mon Dec 10 14:39:54 2018
    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

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  • From James McLaughlin@21:1/5 to rosab on Mon Dec 10 13:09:52 2018
    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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