Project Origami - Hull, Thomas

Résumé :

This classroom-tested text 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, this updated and expanded edition now includes 30 activities and offers better solutions and teaching tips for all activities. Each activity lists courses in which the activity might fit, includes handouts for classroom use, and provides notes for instructors.

Sommaire:

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. Hag?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.