Complex Systems

Two-dimensional Totalistic Code 52 Download PDF

Todd Rowland
Electronic mail address: rowland@wolfram.com
Senior Research Associate,
Wolfram Research, Inc.,
100 Trade Center Drive,
Champaign, IL

Abstract

The totalistic two-dimensional cellular automaton code 52 is capable of a wide variety of behavior. In this paper we look at its generic behavior, its complex behavior on simple backgrounds, its versatility in performing finite computations, and its block emulations of elementary cellular automata (ECA). In all, we found 65 ECA which are emulated by code 52. Taken together, the evidence is strong that code 52 may be a universal rule.