Origami with Explanations

Find out More Origami with Explanations: Fun with Folding and MathOrigami, 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.Contents: Magazine Cover Box and Business Card Frog:Dividing a Rectangle into Quarters: GeometryComputation of Hem Size: AlgebraFluttering Butterfly and Star Basket:Introduction to Geometry and TrigonometryComputation of Final DimensionWaterbomb, Tulip, and Stellated Octahedron :Comparison of Models: Exercise in Seeing Categories 2D to 3D to 2D: Surface Area Exercise for WaterbombFractions (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: GeometryContrasting 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 PointProving the Uniqueness of Three Points Made by the Fold by Calculating Distances Using Geometry and TrigonometryWaterbomb Base Ornament and King David Crown:First Experiences with Modular (Unit) ConstructionCalculation of Final Dimension Using GeometryContrast Two Models in Use of 2D (Flat) versus 3D UnitsFlapping Bird and Crane:Understand Action of Flapping Bird and Contrast with CraneCompare Different Folding Methods and Crease Patterns Using Spatial RelationsCalculate Wingspan of Flapping Bird Using GeometryTraditional Frog on Lily Pad:2D to 3D for Frog: Spatial RelationsExamine Relationship of Crease Patterns of Bases: Pattern Finding Based on Observations of Peter EngelFinal Dimensions Using Geometry
Readership: For all ages, especially students in college classrooms. Good for home schooling and supplement for K-12 remote learning.Origami;Trigonometry;Geometry;Algebra00