Game of life on Various Tilings - Colegiul National C. Negruzzi (Iași - Roumanie)

The Game of Life is a game devised by the mathematician John Horton Conway. It consists of a square grid of cells, each of which is in one of two states: alive or dead. At each time step the cells change state according to certain rules depending on the states of neighbouring cells. The choice of a square grid of cells is arbitrary. In this article we devise new rules for a Game of Life on different types of tilings and explore what patterns emerge. The tilings discussed are the hexagonal and triangular tilings, as well as a one-dimensional variant.