Turing-like Patterns from Cellular Automata

Gary R. Greenfield
Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture (2016)
Pages 151–158 Regular Papers


Turing patterns are patterns produced using a model proposed by Turing for vertebrate skin patterns. Turing-like patterns are similar patterns that are produced using models that differ from the one Turing proposed. We survey mathematical art based on Turing-like patterns and then focus on a cellular automaton for Turing-like patterns proposed by Young. By investigating the parameter space of Young’s model and considering variations of his model we are led to a series of artworks based on Turing-like patterns.