A K Peters/CRC Press
Project Origami: Activities for Exploring Mathematics, Second Edition presents a flexible, discovery-based approach to learning origami-math topics. It helps readers see how origami intersects a variety of mathematical topics, from the more obvious realm of geometry to the fields of algebra, number theory, and combinatorics. With over 100 new pages
Introduction. Folding Equilateral Triangles in a Square. Origami Trigonometry. Dividing a Length into Equal Nths: Fujimoto Approximation. Dividing a Length into Equal Nths Exactly. Origami Helix. Folding a Parabola. Can Origami Trisect an Angle? Solving Cubic Equations. Lill's Method. Folding Strips into Knots. Haga's "Origamics." Modular Star Ring. Folding a Butterfly Bomb. Molly's Hexahedron. Business Card Modulars. Five Intersecting Tetrahedra. Making Origami Buckyballs. Making Origami Tori. Modular Menger Sponge. Folding and Coloring a Crane. Exploring Flat Vertex Folds.Impossible Crease Patterns. Folding a Square Twist. Counting Flat Folds. Self-Similar Wave. Matrix Model of Flat Vertex Folds. Matrix Model of 3D Vertex Folds. Origami and Homomorphisms. Rigid Folds 1: Gaussian Curvature. Rigid Folds 2: Spherical Trigonometry. Appendix. Bibliography. Index.