Curved-Folding Origami Design (AK Peters/CRC Recreational Mathematics Series)

The origami introduced in this book is based on simple techniques. Some were previously known by origami artists and some were discovered by the author. Curved-Folding Origami Design shows a way to explore new area of origami composed of curved folds. Each technique is introduced in a step-by-step fashion, followed by some beautiful artwork examples. A commentary explaining the theory behind the technique is placed at the end of each chapter. Features Explains the techniques for designing curved-folding origami in seven chapters Contains many illustrations and photos (over 140 figures), with simple instructions Contains photos of 24 beautiful origami artworks, as well as their crease patterns Some basic theories behind the techniques are introduced Read more... Abstract: The origami introduced in this book is based on simple techniques. Some were previously known by origami artists and some were discovered by the author. Curved-Folding Origami Design shows a way to explore new area of origami composed of curved folds. Each technique is introduced in a step-by-step fashion, followed by some beautiful artwork examples. A commentary explaining the theory behind the technique is placed at the end of each chapter. Features Explains the techniques for designing curved-folding origami in seven chapters Contains many illustrations and photos (over 140 figures), with simple instructions Contains photos of 24 beautiful origami artworks, as well as their crease patterns Some basic theories behind the techniques are introduced Cover Half Title Title Page Copyright Page Table of Contents Preface Prologue: Folding a Curve Means a Lot Author 1: Fold a Curve 1.1 Folding a Simple Curve 1.2 Folding a Winding Curve 1.3 Folding a Squiggle 2: Aligning Curves 2.1 Pleat-Folding Two Aligned Curves 2.2 Aligning Many Curves 2.3 Aligning Curve and Reversed Curve 3: Aligning Rotated Curves 3.1 Making Rotationally Symmetric Structures 3.2 Decentering 3.3 Aligning Whirls Appendix: Is Paper Really Inelastic? 4: Tucking 4.1 Tucking One Line 4.2 Tucking Multiple Curves 4.3 Repeating Tucking 5: Folding Cones 5.1 Making a Cone without Cut 5.2 Making Conjoined Cones 5.3 Making a Partial Cone Appendix: Folding Back a Cone 6: Folding Back at Straight Line 6.1 Combining Straight and Curved-Fold Lines 6.2 Aligning Straight and Curved Lines Alternately 6.3 Aligning Line-and-Curve Pairs Rotationally Symmetrically 7: Other Techniques 7.1 Providing Projections and Hollows 7.2 Folding Cylinders 7.3 Laying Out Alternatingly 7.4 Folding Closed Curves Appendix: Example of Whipped Cream Afterword Index The origami introduced in this book is designed based on simple techniques, some were previously known by origami artists and some were discovered by the author.This book shows a way to explore new area of origami composed of curved folds.