Mathematical Origami: Geometrical shapes by paper folding

by David Mitchell

Overview

This book shows the reader how to make a range of robust polyhedra from ordinary printer paper using a technique known as modular origami. Modular origami designs are made by first folding several, or sometimes many, sheets of paper into simple individual modules and then by putting these modules together, normally without the help of any kind of adhesive, to create a finished polyhedral form. Modular origami design has moved on since the hugely popular first edition which has been expanded and revised to present both a wider range of designs, and to introduce new designs which are more robust and offer more potential for mathematical adventures. Ideal for the classroom and fun for any enthusiast of either origami, or mathematics. David Mitchell gives clear step-by-step instructions.

Product Details

ISBN-13:	9781911093039
Publisher:	Tarquin Group
Publication date:	09/15/2020
Edition description:	Second edition
Pages:	148
Product dimensions:	6.75(w) x 9.50(h) x 0.50(d)

About the Author

David Mitchell has an international reputation as an origami expert including recognition for books for Tarquin and others.

Table of Contents

Introduction 5

The Cube 9

Equilateral Deltahedra 13

The Regular Tetrahedron 14

The Regular Octahedron 18

The Regular Icosahedron 27

The Diamond Hexahedron and the Equilateral Hexakaidecahedron 29

The Equilateral Dodecahedron 33

The Regular Dodecahedron 35

Rhombic and Semi-Rhombic Polyhedra 39

About Silver Rectangles 40

About Rhombic and Semi-Rhombic Polyhedra 42

The Rhombic Dodecahedron 46

The Rhombic Tetrahedron 57

The Rhombic Hexahedron 61

The Rhombic Skew Cube 66

The Rhombic Octahedron 68

The Reoriented Rhombic Octahedron 72

The Rhombic Pyramid 73

The Semi-Rhombic Pyramid 81

The Square-Base Equilateral Pyramid 84

The Semi-Rhombic Tetrahedron 86

The First Stellated Rhombic Dodecahedron 90

Other Convex Rhombic Polyhedra 96

Rolling Ring of Eight Rhombic Tetrahedra 97

The Triacontahedron 101

Planar Polyhedra 105

The Planar Cube 106

The Planar Tetrahedron 109

Adding Planar Tetrahedra to the Planar Cube 112

The Planar Octahedron 116

The Planar Cuboctahedron 118

The Planar Icosidodecahedron 123

Making the Starting Shapes 127

Making squares 128

Making bronze rectangles 130

Making mock platinum rectangles 132

Making silver rectangles from US Letter paper 135

Making silver rectangles from squares 137

Making golden rectangles 138

Assembly Puzzle Solutions 141

Acknowledgments 144