Complex Systems

Candidates for the Game of Life in Three Dimensions Download PDF

Carter Bays
Department of Computer Science, University of South Carolina,
Columbia, SC 29208, USA


The game "Life" is defined in a strict sense and three candidates for three-dimensional versions are presented. One of these versions can be structured to contain an infinite number of parallel two-dimensional universes, each of which allows for the evolution of Conway life objects. Various oscillators are described, and a few interesting collisions between translating oscillators ("gliders") and other objects are mentioned.