Thomas C. Hull is an Associate Professor of Mathematics at Western New England University and a world expert on the mathematics of origami. He has won the A. T. Yang Memorial Award in Theoretical Kinematics for his research, and his Five Intersecting Tetrahedra was named among the top 10 origami models of all time by the British Origami Society.
Introduction
Part I. Geometric Constructions: 1. Examples and basic folds
2. Solving equations via folding
3. Origami algebra
4. Beyond classic origami
Part II. The Combinatorial Geometry of Flat Origami: 5. Flat vertex folds: local properties
6. Multiple-vertex flat folds: global properties
7. Counting flat folds
8. Other flat folding problems
Part III. Algebra, Topology, and Analysis in Origami: 9. Origami homomorphisms
10. Folding manifolds
11. An analytic approach to isometric foldings
Part IV. Non-Flat Folding: 12. Rigid origami
13. Rigid foldings
14. Rigid origami theory
References
Index.