The Mathematics of Origami

Joseph O'Rourke is Olin Professor Emeritus of Computer Science at Smith College where he has a joint appointment in Mathematics. He has written or coauthored eight books, including two textbooks and two books written for high school students: 'How to Fold It' (2011) and 'Pop-Up Geometry' (2022). His research is in computational geometry, developing algorithms for geometric computations, and he has published 175 papers in journals and conference proceedings in this area. He has won several awards, including a Guggenheim Fellowship in 1987 and the NSF Director's Award for Distinguished Teaching Scholars in 2001. He was named an ACM Fellow in 2012.

• Preface; 1. Introduction; 2. Stamp folding; 3. Flat vertex folds; 4. Flat folding is hard; 5. Rigid origami and degree-4 vertices; 6. Origami design; 7. Fold & 1-cut; 8. Curved crease origami; 9. Self-folding origami; 10. Origamizer; Appendix A. Beyond: topics not covered; Appendix B. Solutions to exercises; References; Index.

'Joseph O'Rourke does a great job introducing the myriad ways in which origami can be modeled mathematically to a novice – but interested – reader. This is not an easy task, but Joe handles it with fantastic figures, great examples, clear prose, and even online computer demos. This book is where I will point everyone who asks me how to get started in the field of mathematical origami!' Thomas Hull, Franklin & Marshall College