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

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


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.