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A Five-State von Neumann Neighbor Universal Hyperbolic Cellular Automaton
Katsunobu Imai, Chuzo Iwamoto and Kenichi Morita

We construct a 5-state 5-neighbor (von Neumann neighbor) universal hyperbolic cellular automaton (CA) based on quadrangular cells. The CA simulates a type of asynchronous circuits – so called delay-insensitive circuits – for achieving universality, and to place a circuit configuration, we introduce a mapping from any finite size of grid on an Euclidean CA to the corresponding hyperbolic one.

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