Taking a Point for a Walk: Pattern Formation with Self-Interacting Curves
David Chappell

Proceedings of Bridges 2014: Mathematics, Music, Art, Architecture, Culture
Pages 337–340
Short Papers

Abstract

I present a method of generating organic, 2D designs using self-avoiding, random walks. “Self-following” rules are introduced that produce repeating patterns that evolve and mutate as the walk progresses. The rate at which mutations occur influences the degree of organization and coherence in the final design.

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