Playing With Surfaces: Spheres, Monkey Pants, and Zippergons

Kelly Delp and Bill Thurston
Proceedings of Bridges 2011: Mathematics, Music, Art, Architecture, Culture (2011)
Pages 1–8 Regular Papers


We describe a process, inspired by clothing design, of smoothing an octahedron to form a round sphere. This process can be adapted to construct many different surfaces out of paper and craft foam.