How to run a CellularAutomaton until a configuration is repeated?

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I would like to do something like CellularAutomaton[10, 1, 0, 0, 0, 0, 2^5], but instead of running for 2^5, it should stop as soon as a configuration has been seen twice, and report the number of such steps taken. Is it possible to do this?






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    I would like to do something like CellularAutomaton[10, 1, 0, 0, 0, 0, 2^5], but instead of running for 2^5, it should stop as soon as a configuration has been seen twice, and report the number of such steps taken. Is it possible to do this?






    cellular-automata







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    theQman is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.





















      up vote
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      up vote
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      down vote

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      I would like to do something like CellularAutomaton[10, 1, 0, 0, 0, 0, 2^5], but instead of running for 2^5, it should stop as soon as a configuration has been seen twice, and report the number of such steps taken. Is it possible to do this?






      cellular-automata







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      theQman is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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      I would like to do something like CellularAutomaton[10, 1, 0, 0, 0, 0, 2^5], but instead of running for 2^5, it should stop as soon as a configuration has been seen twice, and report the number of such steps taken. Is it possible to do this?






      cellular-automata




      cellular-automata






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      theQman is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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          1 Answer
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          NestWhileList[CellularAutomaton[30, #] &, 1, 0, 0, 0, 0, UnsameQ, All]



          1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0,
          0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1




          For the number of steps taken until a configuration repeats:



          Length @ %



          7







          share|improve this answer


















          • 1




            One could use UnsameQ instead of DuplicateFreeQ @ ## & in the third argument.
            – J. M. is computer-less♦
            2 hours ago










          • @J.M. Right; much better. Thank you.
            – kglr
            1 hour ago










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          up vote
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          NestWhileList[CellularAutomaton[30, #] &, 1, 0, 0, 0, 0, UnsameQ, All]



          1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0,
          0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1




          For the number of steps taken until a configuration repeats:



          Length @ %



          7







          share|improve this answer


















          • 1




            One could use UnsameQ instead of DuplicateFreeQ @ ## & in the third argument.
            – J. M. is computer-less♦
            2 hours ago










          • @J.M. Right; much better. Thank you.
            – kglr
            1 hour ago














          up vote
          3
          down vote













          NestWhileList[CellularAutomaton[30, #] &, 1, 0, 0, 0, 0, UnsameQ, All]



          1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0,
          0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1




          For the number of steps taken until a configuration repeats:



          Length @ %



          7







          share|improve this answer


















          • 1




            One could use UnsameQ instead of DuplicateFreeQ @ ## & in the third argument.
            – J. M. is computer-less♦
            2 hours ago










          • @J.M. Right; much better. Thank you.
            – kglr
            1 hour ago












          up vote
          3
          down vote










          up vote
          3
          down vote









          NestWhileList[CellularAutomaton[30, #] &, 1, 0, 0, 0, 0, UnsameQ, All]



          1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0,
          0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1




          For the number of steps taken until a configuration repeats:



          Length @ %



          7







          share|improve this answer














          NestWhileList[CellularAutomaton[30, #] &, 1, 0, 0, 0, 0, UnsameQ, All]



          1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0,
          0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1




          For the number of steps taken until a configuration repeats:



          Length @ %



          7








          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited 1 hour ago

























          answered 4 hours ago









          kglr

          166k8188388




          166k8188388







          • 1




            One could use UnsameQ instead of DuplicateFreeQ @ ## & in the third argument.
            – J. M. is computer-less♦
            2 hours ago










          • @J.M. Right; much better. Thank you.
            – kglr
            1 hour ago












          • 1




            One could use UnsameQ instead of DuplicateFreeQ @ ## & in the third argument.
            – J. M. is computer-less♦
            2 hours ago










          • @J.M. Right; much better. Thank you.
            – kglr
            1 hour ago







          1




          1




          One could use UnsameQ instead of DuplicateFreeQ @ ## & in the third argument.
          – J. M. is computer-less♦
          2 hours ago




          One could use UnsameQ instead of DuplicateFreeQ @ ## & in the third argument.
          – J. M. is computer-less♦
          2 hours ago












          @J.M. Right; much better. Thank you.
          – kglr
          1 hour ago




          @J.M. Right; much better. Thank you.
          – kglr
          1 hour ago










          theQman is a new contributor. Be nice, and check out our Code of Conduct.









           

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