Paul Rendell's Holstein Cellular Automata Page Checker Board Patterns A set of asymmetrical checkerboard patterns where a pair of edges perform a drunkards walk until it collapse into stripes Diagonal Band Patterns A set of asymmetrical diagonal bands patterns where the edges of the bands perform a drunkards walk unitl they meet and band collapes to nothing. Holstein Rules Cellular Automata This is one of a class of Cellular Automata. A Cellular Automata consists of a field of cells. A cell must be in one of fixed number of states. For these rules there are just 2 states called live and dead. The state of a cell in the next generation is dependant only on its current state and the current state of its 8 neighbour. There are an astonishing number of patterns that change in interesting ways. Conway's Game Life is the most widely know set of rules in this class.
The Holstein rules are:
These rules are symmetrical. They can be rewritten:
The patterns formed by these rules are very limited. Their are a handful of period 2 oscillators and stable patterns and not much else. However 3 Gliders have been found - see D. Eppstein - Gliders in Life-Like Cellular Automata |

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