Magazine cover box and business card frog. Dividing a rectangle into quarters: Geometry. Computation of hem size: Algebra -- Fluttering butterfly and star basket. Introduction to geometry and trigonometry. Computation of final dimension -- Waterbomb, tulip, and stellated octahedron. Comparison of models : exercise in seeing categories. 2D to 3D to 2D : surface area exercise for waterbomb. Fractions (generating folds at 1/8, 1/4, 3/8, 1/2, 5/8, 3/4 positions along a line) -- Drinking cup. Making square from a rectangle : geometry. Contrasting making a fold with the goal of making a new edge parallel to an existing edge with the more typical folds of edge to edge or point to point. Proving the uniqueness of three points made by the fold by calculating distances using geometry and trigonometry -- Waterbomb base ornament and king david crown. First experiences with modular (unit) construction. Calculation of final dimension using geometry. Contrast two models in use of 2D (flat) versus 3D units -- Flapping bird and crane. Understand action of flapping bird and contrast with crane. Compare different folding methods and crease patterns using spatial relations. Calculate wingspan of flapping bird using geometry -- Traditional frog on lily pad. 2D to 3D for frog : Spatial relations. Examine relationship of crease patterns of bases : pattern finding based on observations of peter engel. Final dimensions using geometry.

"Origami, paper folding, originated hundreds of years ago in China and Japan, with independent discovery and activity across the world. The most familiar origami models are the crane and the flapping bird. This book will introduce you to origami, starting with a jumping frog and including traditional and modern models. Carefully written instructions, using photos and diagrams, will show you the main origami bases, turn you into a successful folder and stimulate your own creativity. Explanations will include attention to spatial relations, geometry, algebra, and pattern finding. The explanations provide insight into the origami while the folding will help your understanding of mathematics"--Publisher's website.

Mode of access: World Wide Web.

System requirements: Adobe Acrobat Reader.

Includes index.