Publications: Mathematics
These are publications in which I have work on the mathematical theory of origami and/or related design topics.
Origami7 Volume 1: Design, Education, History, and Science
The first of four volumes of the proceedings of the 7th International Meeting on Origami in Science, Mathematics, and Education.
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The second of four volumes of the proceedings of the 7th International Meeting on Origami in Science, Mathematics, and Education.
More Information Origami7 Volume 3: Engineering One
The third of four volumes of the proceedings of the 7th International Meeting on Origami in Science, Mathematics, and Education.
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The fourth of four volumes of the proceedings of the 7th International Meeting on Origami in Science, Mathematics, and Education.
More Information Twists, Tilings, and Tessellations: Mathematical Methods for Geometric Origami
(2017) The mathematics of twists, tilings, tessellations, and other geometric folding. The figures in this book include photographs, vector art (created in my trusty old Adobe Freehand), and computed images created in Wolfram Mathematica, using my general-purpose origami design/analysis package, Tessellatica. Linked below are notebooks that include code that creates all of the Mathematica-computed figures […]
More Information Origami6, Part I
(2016) The proceedings from the 6th International Conference on Origami in Science, Mathematics, and Education. Part 1 covers the Mathematics of origami.
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(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.
More Information Single Degree-of-Freedom Rigidly Foldable Cut Origami Flashers
http://mechanismsrobotics.asmedigitalcollection.asme.org/article.aspx?articleID=2474216
More Information Paper Pentasia: An Aperiodic Surface in Modular Origami
Robert J. Lang and Barry Hayes, “Paper Pentasia: an Aperiodic Surface in Modular Origami”, The Mathematical Intelligencer, December 2013, Volume 35, Issue 4, pp 61-74. [PDF].
More Information Accommodating Thickness in Origami-Based Deployable Arrays
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.
More Information Folding the Hyperbolic Crane
An article about folding from hyperbolic paper, i.e., paper with constant negative Gaussian curvature.
More Information Origami5
(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 […]
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(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 […]
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