The Mathematics of Origami [Hardcover]

Makes the fascinating and beautiful mathematics of origami accessible to anyone who has taken high school geometry and trigonometry.Fascinating mathematics underlies the art of origami, which has applications including origami-based stents, deployment of solar arrays in space, and furniture design. This approachable book relies on geometric intuition and requires only high school-level geometry and trigonometry. It contains solved exercises and over 150 color illustrations.Fascinating mathematics underlies the art of origami, which has applications including origami-based stents, deployment of solar arrays in space, and furniture design. This approachable book relies on geometric intuition and requires only high school-level geometry and trigonometry. It contains solved exercises and over 150 color illustrations.When you see a paper crane, what do you think of? A symbol of hope, a delicate craft, The Karate Kid? What you might not see, but is ever present, is the fascinating mathematics underlying it. Origami is increasingly applied to engineering problems, including origami-based stents, deployment of solar arrays in space, architecture, and even furniture design. The topic is actively developing, with recent discoveries at the frontier (e.g., in rigid origami and in curved-crease origami) and an infusion of techniques and algorithms from theoretical computer science. The mathematics is often advanced, but this book instead relies on geometric intuition, making it accessible to readers with only a high school geometry and trigonometry background. Through careful exposition, more than 160 color figures, and 49 exercises all completely solved in an Appendix, the beautiful mathematics leading to stunning origami designs can be appreciated by students, teachers, engineers, and artists alike.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 lã