A simple three-dimensional real-time reliable cellular array
Journal of Computer and System Sciences - 17th Annual ACM Symposium in the Theory of Computing, May 6-8, 1985
Theory of Self-Reproducing Automata
Theory of Self-Reproducing Automata
Fault tolerance in cellular automata at high fault rates
Journal of Computer and System Sciences
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We study a class of cellular automata that are capable of correcting finite configurations of errors within a finite amount of time. Subject to certain natural conditions, we determine the geometric symmetries such automata may possess. In three dimensions the answer is particularly simple: such an automaton may be invariant under all proper rotations that leave the underlying lattice invariant, but it cannot be invariant under the inversion that takes each configuration into its mirror image.