Abstract: The last decade of this past century has been witness to a revolution in the development and application of mathematical techniques to origami, the centuries-old Japanese art of paper-folding. The techniques used in mathematical origami design range from the abstruse to the highly approachable. In this talk, I will describe how geometric concepts led to the solution of a broad class of origami folding problems – specifically, the problem of efficiently folding a shape with an arbitrary number and arrangement of flaps, and along the way, enabled origami designs of mind-blowing complexity and realism, some of which you’ll see, too. As often happens in mathematics, theory originally developed for its own sake has led to some surprising practical applications. The algorithms and theorems of origami design have shed light on long-standing mathematical questions and have solved practical engineering problems. I will discuss examples of how origami and its underlying math has enabled safer airbags, Brobdingnagian space telescopes, and more.
Robert J. Lang is recognized as one of the foremost origami artists in the world as well as a pioneer in computational origami and the development of formal design algorithms for folding. With a Ph.D. in Applied Physics from Caltech, he has, during the course of work at NASA/Jet Propulsion Laboratory, Spectra Diode Laboratories, and JDS Uniphase, authored or co-authored over100 papers and 50 patents in lasers and optoelectronics as well as authoring, co-authoring, or editing 25 refereed papers, 17 books, and a CD-ROM on origami. Since 2001, he has been a full-time artist and consultant on origami and its applications to engineering problems. He received Caltech’s Distinguished Alumni Award, in 2009 and was elected a Fellow of the American Mathematical Society in 2013.