Complex Systems

A New Candidate Rule for the Game of Two-dimensional Life Download PDF

Jean-Claude Heudin
International Institute of Multimedia,
Pôle Universitaire Léonard de Vinci,
92916 Paris La Défense, France


This paper introduces a new candidate rule for a game of two-dimensional Life "worthy of the name.'' The cellular automaton is defined in a formal sense and presented using qualitative and quantitative approaches. Various natural stable and oscillating patterns, including a propagating glider, are described.