One-Dimensional Cellular Automata on the Regular Tessellations
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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.
Contributed by: Machi Zawidzki (February 2012)
Open content licensed under CC BY-NC-SA
 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