# Multiway Systems

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Multiway systems are substitution systems with a collection of possible states at every step. As in substitution systems, the rules give instructions on how to proceed if a certain pattern is matched. For example, two black cells should be replaced by one gray cell; if the state on which the rule is operating does not have any contiguous black cells, that part of the rule is not applied. Rules that have a positive pattern match for a particular step are called "applicable". At each step, each applicable rule is applied and each substitution leads to a new state.

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Contributed by: Abigail Nussey (March 2011)

Open content licensed under CC BY-NC-SA

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"Multiway Systems"

http://demonstrations.wolfram.com/MultiwaySystems/

Wolfram Demonstrations Project

Published: March 7 2011