Mathematical Methods in Origami Design

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


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.