1. INTRODUCTION 8

2. THE BUILDING BLOCKS OF ORIGAMI 15
2.1. Symbols and Terms 16
2.2. Basic Folding Steps 20

3. ELEPHANT DESIGN 43
3.1. Elephant Design 1 45
3.2. Elephant Design 2 46
3.3. Elephant Design 3 48

4. TRADITIONAL BASES 54
4.1. The Classic Bases 54
4.2. Other Standard Bases 56
4.3. Relationships Between Bases 61
4.4. Designing with Bases 64
4.5. Simple Variations on Bases 69
4.A. Stealth Fighter 72
4.B. Snail 72
4.C. Valentine 72
4.D. Hummingbird 72
4.E. Baby 72

5. SPLITTING POINTS 73
5.1. The Yoshizawa Split 73
5.2. The Ideal Split 78
5.3. Splitting Edge and Middle Flaps 85
5.4. More Complex Splits 90
5.5. More Applications of Splitting 96
5.A. Pteranodon 98
5.B. Goatfish 98

6. GRAFTING 99
6.1. Border Grafts 99
6.2. Strip Grafting 112
6.3. More Complicated Grafts 118
6.4. More Applications of Grafts 129
6.A. Songbird 1 133
6.B. KNL Dragon 133
6.C. Lizard 133
6.D. Tree Frog 133

7. PATTERN GRAFTING 134
7.1. Pleated Patterns 134
7.2. Pleated Textures 142
7.A. Turtle 157
7.B. Western Pond Turtle 157
7.C. Koi 157


Creator/Folder : R.J. Lang
Photo comes from the Gilad's Origami page
with his authorization

8. TILING 158
8.1. Uniaxial Bases 159
8.2. Splitting Along Axes 164
8.3. Tiles of Crease Pattern 168
8.4. Tile Assembly 170
8.5. A Multiplicity of Tiles 181
8.6. Stick Figures and Tiles 184
8.7. Dimensional Relationships Within Tiles 194
8.8. From New Tile to New Base 196
8.A. Pegasus 200

9. CIRCLE PACKING 201
9.1. Three Types of Flap 201
9.2. Overlaps 205
9.3. Connections to Tiles 206
9.4. Scale of a Circle Pattern 207
9.5. The Circle Jig 210
9.6. Symmetry 212
9.7. Selective Inflation 216
9.8. Circles and Rivers 225
9.9. Mathematical Circle Packings 226
9.10. Bases from Equal Circle Packings 231
9.11. The Margulis Napkin Problem 237
9.12. Comments 242
9.A. Emu 243
9.B. Songbird 2 243

10. MOLECULES 244
10.1. Tangent Points 244
10.2. Triangle Molecules 250
10.3. Quadrilateral Molecules 251
10.4. Waterbomb Molecule 252
10.5. Arrowhead Molecule 256
10.6. Gusset Molecule 259
10.7. Molecules with Rivers 262
10.8. Crease Assignment in Molecules 265
10.9. Putting it All Together 268
10.10. Higher-Order Polygons 275
10.A. Orchid Blossom 282


Creator : R.J. Lang
Folder & photos : N. Terry

11. TREE THEORY 283
11.1. The Tree 283
11.2. Paths 286
11.3. Scale 291
11.4. Subtrees and Subbases 292
11.5. Computational Molecules 296
11.6. Quadrilaterals 297
11.7. Higher-Order Polygons 301
11.8. The Universal Molecule 305
11.9. Other Techniques 311
11.10. Comments 316
11.A. Alamo Stallion 317

12. BOX PLEATING 318
12.1. Mooser’s Train 318
12.2 Box Folding 325
12.3. Box-Pleated Flaps 342
12.4. Square/River Packings 347
12.5. Filling in the Molecules 350
12.6. Bouncing Creases 362
12.7. Elias Stretch 365
12.8. Ortholinear Rivers 366
12.9. Holes and Plugs 367
12.10. Box-Pleating versus Optimal Bases 369
12.11. Comments 373
12.A. Bull Moose 375
12.B. Black Forest Cuckoo Clock 375

13. HYBRID BASES 376
13.1. Flats and Flaps 376
13.2. Multiaxial Bases 382
13.3. Grafted Kite Base 385
13.4. Mixing and Matching 389
13.5. Wrapping It Up 389
13.A. African Elephant 392

14. ALGORITHMS 393
14.1. Mathematical Model 393
14.2. Definitions and Notation 394
14.3. Scale Optimization 394
14.4. Edge Optimization 395
14.5. Strain Optimization 395
14.6. Optional Conditions 396
14.7. Stubs 398
14.8. Universal Molecule 399

A. REFERENCES 402
B. ACKNOWLEDGEMENTS 417
C. GLOSSARY OF TERMS 419
D. INDEX 429


Creator : R.J. Lang
Folder : Paula Versnick
Photo comes from the Gerard & Paula's site
with Paula's authorization.

1- Stealth Fighter
2- Snail
3- Valentine
4- Hummingbird
5- Baby
6- Pteranodon
7- Goatfish
8- Songbird
9- KNL Dragon

10- Lizard
11- Tree Frog
12- Turtle
13- Western Pond Turtle
14- Koi
15- Pegasus
16- Emu
17- Songbird 2
18- Orchid Blossom

19- Alamo Stallion
20- Bull Moose
21- Black Forest Cuckoo Clock
22- African Elephant
23-24-25- 3 more short sequences embedded in one of the chapters

Butterfly
Acrocinus longimanus
Ant
Tarantula
Pill Bug
Cockroach
Dragonfly
Eupatorus gracilicornus
Scorpion