Clifford A. Reiter, The Game of Life on a Hyperbolic Domain, Computers & Graphics, 21 5 (1997) 673-683.

Classic 2-D outer totalistic automata such as Conway's Game of Life can be generalized to any domain of cells where each cell has eight neighbors. A circular hyperbolic arrangement of cells is described where each cell has eight neighbors and the time evolution of these hyperbolic automata are visualized in three dimensions. Both random and symmetric initial conditions are investigated using these techniques leading to insight into typical long term behavior and examples of symmetry breaking.

See also: · [Preprint] · Other automata papers