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The objective is to demonstrate that a probabilistic cellular automata rule can place reliably a maximal number of dominoes in different active area shapes, exemplarily evaluated for the square and diamond. The basic rule forms domino patterns, but the number of dominoes is not necessarily maximal and the patterns are not always stable. It works with templates derived from domino tiles. The first proposed enhancement (Rule Option 1) can form always stable patterns. The second enhancement (Rule Option 2) can maximize the number of dominoes, but the reached patterns are not always stable. All rules drive the evolution by specific noise injection.

A cellular automata rule placing a maximal number of dominoes in the square and diamond