Mathematical Methods in Origami Design

Robert J. Lang
Proceedings of Bridges 2009: Mathematics, Music, Art, Architecture, Culture (2009)
Pages 11–20 Regular Papers


The marriage of art and mathematics has been widespread and productive, but almost nowhere more productive than in the world of origami. In this paper I will discuss how mathematical ideas led to the development of powerful tools for origami design and will present a step-by-step illustration of the design and realization of a representational origami figure using mathematical design algorithms. Along the way, I will discuss how these mathematical concepts have led to new levels of creative expression within this art.