Theory of Intersection

Karl Kattchee
Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture (2015)
Pages 487–490 Short Papers


While contemplating the flow of traffic at a roundabout, a combinatorial problem arises. Its unique solution is found and diagrammed. By tiling the plane with copies of this diagram, we discover a nonconvex polygon, and this polygon is depicted in the abstract painting Theory of Intersection (Lisa Kattchee, Karl Kattchee, 2014).