Candidates for the Game of Life in Three Dimensions.
Carter Bays · 1987
Abstract. The game "Life " is defined in a strict sense and three candidates for t hree-d imensional versions are presented. One of these versions can be structured to contain an infinite number of parallel two-dimens ional universes, each of which allows for t he evolution of Conway life objects. Various oscillators are described, and a few inter-esting collisions between translating oscillators ("g lide rs") and other objects are mentioned. 1. Introduction-Conway's Game of Life Most readers are probably familiar with John Conway 's two-dimensional cellular automaton known as the "Game of Life " 13,4J. The game is "played" by zero players on an arbitrarily large grid of square cells, where each cell is either "alive " or "dead". Essentially, the game works as follows. Start at