Arc Forms: Interactive Exploration of a Discrete Combinatorial Design Space

Christopher Carlson
Proceedings of Bridges 2011: Mathematics, Music, Art, Architecture, Culture (2011)
Pages 201–208 Regular Papers


In the course of exploring parametric forms derived from corporate logos, I stumbled upon an elegant ``minimum inventory, maximum diversity'' system of forms. Due to combinatorial explosion, that discrete space of forms is unimaginably large. Using Mathematica, I explored not only the forms themselves, but also interfaces for grasping what that large space contains. Productive exploration depends on being able to explore the interfaces as fluidly as the forms themselves.