The Art & Science of Geometric Origami: Create Spectacular Paper Polyhedra, Waves, Spirals, Fractals and More! (More than 60 Models!)

by Jun Maekawa

Overview

A magnificent new collection of 60 sculptural paper models from a mathematical origami master!

Master origami folder and author Jun Maekawa is known for developing innovative new methods of folding origami based on fundamental mathematical principles. In The Art & Science of Geometric Origami, he shows you how to fold over 60 different geometric shapes through clear, easy-to-follow instructions and photos.

The unique origami designs in this book include:

• New takes on traditional geometric models including the Tetrahedron and Octahedron
• Unusual forms like the Tetrapod Wave Breaker, Hyperbolic Illusion Cube—and a Torii Gate
• Quirky pieces like the Double Spiral Tessellation, Branching Tree and Fractal Wave
• Biological models such as a Lizard, Tethered Cranes and a realistic Human Figure

Folding instructions for each model are prefaced with an extensive introduction to the geometric principles underlying the piece. The models include nontraditional designs folded from unusual papers, including dozens of clever boxes and modular models which are assembled like 3D puzzles!

Product Details

ISBN-13:	9784805316856
Publisher:	Tuttle Publishing
Publication date:	11/15/2022
Pages:	128
Product dimensions:	8.30(w) x 10.90(h) x 0.50(d)

About the Author

Jun Maekawa studied physics at Tokyo Metropolitan Universitywhere he developed the Maekawa Theorem to describe fundamental geometry and origami. He is a member of the Japan Origami Academic Society (JOAS) and Japan Origami Association. He has taught origami in internationally and has published many books and articles on the subject. In addition to Viva! Origami and other Japanese-language books, Maekawa is the author of several books on origami that have been translated into English, including Genuine Origami: 43 Mathematically-Based Models, From Simple to Complex. Maekawa lives in Japan.

Table of Contents

Introduction 9

Terms and Symbols Used in This Book 12

Chapter 1 Folding from a Pattern 13

1-0 About Expanded Views and Patterns 14

1-1 Wrapping Paper Container 16

1-2 Cubohemioctahedron 18

1-3 Small Dodecahemidodecahedron 20

1-4 Truncated Cube 21

1-5 Yangma 22

1-6 Half Cube 24

1-7 Hyperbolic Paraboloid Within a Cube 26

1-8 Snub Cube 28

1-9 Great Dodecahedron Shell 30

1-10 Globe 31

1-11 Stellated Dodecahedron 32

1-12 Approaching Waves and Multiple Waves 34

1-13 Reptile 36

1-14 Linked Cranes-a New Triad 38

1-15 Hourglass Prism 40

1-16 Regular Octahedron Box 42

1-17 Square and Circle Tato Purse 44

1-18 Transected Truncated Icosahedron 46

1-19 Octahedron Within a Tetrahedron 48

1-20 Double Hourglass Cube 50

1-21 Cartesian Coordinates 52

1-22 Shinmei Torii 54

1-23 Dürer's Polyhedron 56

1-24 Tree 60

1-25 Tetrahedron Within a Cube 62

1-26 Wave-dissipating Block and Paper Cup Tetrapod 64

Chapter 2 Unit Origami 67

2-1 Fish-ahedron 68

2-2 Bird-ahedron 68

2-3 Albers Box 69

2-4 Gemini 70

2-5 Two-part Cube Box 71

2-6 Bow-tie Cube and Four-eighths Cube 72

2-7 Bow-tie Unit 74

2-8 Hexapyxis 76

2-9 Borromean Box 78

2-10 White Egret Flower Cube 79

2-11 Colored-pencil Checkered Cube and Cat's-eye Cube 80

2-12 Bird, Boat and Wind Cube 82

2-13 Four-sheet Square Prisms 84

2-14 Excavated Dodecahedron 86

2-15 Regular Dodecahedron 88

2-16 Regular Octahedron with a Frame 90

2-17 Stella Octangula 92

2-18 Zigzag Separating Cube 94

2-19 Thorny Cube 96

Chapter 3 Small Models 97

3-1 Disc Case 98

3-2 Varignon Envelope 100

3-3 Three-quarter Octahedron 102

3-4 Maximum Cross-section Cube 104

3-5 Double Spiral 106

3-6 Star of David 108

3-7 Doll 110

3-8 Fushimi Cube 112

3-9 Golden Box and Golden Trash Can 114

3-10 Square Egg 116

3-11 Dented Box 117

3-12 Illusion Cube 118

3-13 Iso-area Octahedron Frame 120

3-14 Fishy Masu Box 121

3-15 Hexagonal Knotted Letter 122

Afterword 124

First Appearances of the Models in this Book 125

Further Reading 126

Index 127

Editorial Reviews

"Jun Maekawa masterfully delves into the delightful complexity of geometric origami—its math, beauty, terminology and intellectual history—as comfortably as if he were sitting with you, chatting over a cup of coffee. This is a delightful and inspiring book." — Michael LaFosse & Richard Alexander, Origamido Studio

"This book offers a fascinating collection of geometrically inspired paper projects in a creative and introspective format. It integrates historical, mathematical and aesthetic themes in a comprehensive, original and unique exposition. I would recommend it for anyone who has an interest in the intersection between mathematics and art." — Byriah Loper, author of Mind-Blowing Modular Origami

"A BOOK FOR MATH TEACHERS…An amazing book to create spectacular paper polyhedra, waves, spirals, fractals and more. What makes this book special is that the instructions of each model are prefaced with extensive introductions to the geometric principles underlying the pieces. if you love math and whimsical quirky designs…you MUST get this one." —Mariela Recinos, Origami Maniacs

From the Publisher