Max-Plus Generalization of Conway’s Game of Life

We propose a max-plus equation that includes Conway’s Game of Life (GoL) as a special case. There are some special solutions to the equation that include and unify solutions to GoL. Moreover, the multivalue extension of GoL is derived from the equation, and the behavior of solutions is discussed.

K. Sakata, Y. Tanaka and D. Takahashi, “Max-Plus Generalization of Conway’s Game of Life,” Complex Systems, 29(1), 2020 pp. 63–76.