Publications - Mathematics

These are publications in which I have work on the mathematical theory of origami and/or related design topics.

(2017) The mathematics of twists, tilings, tessellations, and other geometric folding.

(2016) The proceedings from the 6th International Conference on Origami in Science, Mathematics, and Education. Part II covers Technology, Science, History, Art, Design, and Education.

(2016) The proceedings from the 6th International Conference on Origami in Science, Mathematics, and Education. Part 1 covers the Mathematics of origami.

Describes the design of a flasher composed of thick panels and membrane hinges for deployable solar arrays and related applications.

A Mathematica file that accompanies the article is attached.

Roger C. Alperin, Barry Hayes, and Robert J. Lang, "Folding the Hyperbolic Crane", The Mathematical Intelligencer, July 2012, Volume 34, Issue 2, pp 38-49. [PDF].

(2011) (with Patsy Wang-Iverson and Mark Yim) This collection of the latest academic research in origami and its connections to mathematics, science, technology, and education grew out of the 5th International Conference on Origami in Science, Mathematics, and Education, held in Singapore in 2010. It contains all-new work by the leading academic researchers from around the world whose work touches on origami, including three papers on which I am a co-author.

(2009) This is a collection of 46 articles by various authors, edited by me, about the connections between origami, mathematics, science, and education, which grew out of the 4th International Conference on Origami in Mathematics, Science, and Education, held in 2006 at Caltech (which I organized). You'll find cutting-edge research by many researchers, including two papers on which I am a co-author.