English

Game of Life on Phyllosilicates: Gliders, Oscillators and Still Life

Cellular Automata and Lattice Gases 2013-06-04 v1

Abstract

A phyllosilicate is a sheet of silicate tetrahedra bound by basal oxygens. A phyllosilicate automaton is a regular network of finite state machines --- silicon nodes and oxygen nodes --- which mimics structure of the phyllosilicate. A node takes states 0 and 1. Each node updates its state in discrete time depending on a sum of states of its three (silicon) or six (oxygen) neighbours. Phyllosilicate automata exhibit localizations attributed to Conway's Game of Life: gliders, oscillators, still lifes, and a glider gun. Configurations and behaviour of typical localizations, and interactions between the localizations are illustrated.

Keywords

Cite

@article{arxiv.1306.0253,
  title  = {Game of Life on Phyllosilicates: Gliders, Oscillators and Still Life},
  author = {Andrew Adamatzky},
  journal= {arXiv preprint arXiv:1306.0253},
  year   = {2013}
}