ON BEHAVIORS OF CELLULAR AUTOMATA WITH RULE NUMBER 57
Bulletin of informatics and cybernetics2006Vol. 38, pp. 39–49
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Abstract
This paper describes the behaviors of one dimensional finite cellular automata with a triplet local transition rule number 57 having the fixed boundary conditions. The behaviors of $ CA-57(m) $ were observed by computer experiments, and some formulae about the limit cycles and the transient length were found out. The purpose of this paper is to prove the above formulae theoretically.
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