One-Dimensional Cellular Automata on the Regular Tessellations
This Demonstration shows the same cellular automata (CA) on the regular tessellations: triangular, square, and hexagonal. One-dimension range-two semi-totalistic CA are used. The sequence of initial conditions is generated in a way that at each step a single black cell replaces one randomly selected white cell. This ensures that the CA patterns are quite diverse but hopefully do not appear overly chaotic.
 M. Zawidzki, "Application of Semitotalistic 2D Cellular Automata on a Triangulated 3D Surface," International Journal of Design & Nature and Ecodynamics, 6(1), 2011 pp. 34–51.
"One-Dimensional Cellular Automata on the Regular Tessellations"
Wolfram Demonstrations Project
Published: February 20 2012