Origami Design Secrets

Robert J. Lang1568811942, 9781568811949

Robert J. Lang, one of the world’s foremost origami artists and scientists, presents the never-before-described mathematical and geometric principles that allow anyone to design original origami, something once restricted to an elite few. From the theoretical underpinnings to detailed step-by-step folding sequences, this book takes a modern look at the heart of the centuries-old art of origami.
Origami novices will appreciate the organization of the book, which begins with easy techniques and progresses to deep and powerful tools for design, all based on simple, intuitive concepts like grafting, circle packing, and assembly of tiles.
Both novices and aficionados will find detailed, step-by-step instructions for previously unpublished models, including the famous “Black Forest Cuckoo Clock.”

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Table of contents :
Front cover ……Page 1
Short title ……Page 2
Title page ……Page 4
Date-line ……Page 5
Table of Contents ……Page 6
Acknowledgements ……Page 8
1. Introduction ……Page 10
2. The Building Blocks of Origami ……Page 20
3. Elephant Design ……Page 48
4. Traditional Bases ……Page 60
Folding Instructions ……Page 80
Stealth Fighter ……Page 81
Snail ……Page 83
Valentine ……Page 85
Ruby-Throated Hummingbird ……Page 89
Baby ……Page 94
5. Splitting Points ……Page 100
Folding Instructions ……Page 124
Pteranodon ……Page 125
Goatfish ……Page 130
6. Grafting ……Page 136
Folding Instructions ……Page 168
Songbird 1 ……Page 169
KNL Dragon ……Page 175
Lizard ……Page 181
Tree Frog ……Page 186
7. Pattern Grafting ……Page 196
Folding Instructions ……Page 216
Turtle ……Page 217
Western Pond Turtle ……Page 220
Koi ……Page 232
8. Tiling ……Page 236
Folding Instructions ……Page 276
Pegasus ……Page 277
9. Circle Packing ……Page 286
Folding Instructions ……Page 330
Emu ……Page 331
Songbird 2 ……Page 334
10. Molecules ……Page 340
Folding Instructions ……Page 378
Orchid Blossom ……Page 379
11. Tree Theory ……Page 384
Folding Instructions ……Page 418
Alamo Stallion ……Page 419
12. Box Pleating ……Page 428
Folding Instructions ……Page 484
Bull Moose ……Page 485
Black Forest Cuckoo Clock ……Page 498
13. Hybrid Bases ……Page 528
Folding Instructions ……Page 546
African Elephant ……Page 547
14. Algorithms ……Page 556
References ……Page 566
Glossary of Terms ……Page 582
Index ……Page 590
Back cover ……Page 595