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E-raamat: 3D Origami Art

3.33/5 (5 hinnangut Goodreads-ist)
(University of Tsukuba, Japan)
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Easily Create Origami with Curved Folds and Surfaces

Origamimaking shapes only through foldingreveals a fascinating area of geometry woven with a variety of representations. The world of origami has progressed dramatically since the advent of computer programs to perform the necessary computations for origami design.

3D Origami Art presents the design methods underlying 3D creations derived from computation. It includes numerous photos and design drawings called crease patterns, which are available for download on the authors website. Through the books clear figures and descriptions, readers can easily create geometric 3D structures out of a set of lines and curves drawn on a 2D plane.

The author uses various shapes of sheets such as rectangles and regular polygons, instead of square paper, to create the origami. Many of the origami creations have a 3D structure composed of curved surfaces, and some of them have complicated forms. However, the background theory underlying all the creations is very simple. The author shows how different origami forms are designed from a common theory.

Arvustused

"This is a beautiful book, containing many lovely examples at the forefront of geometric origami. Readers will find the patterns both challenging and satisfying to fold, and the concepts on which they are based form a foundation for many further potential explorations." Dr. Robert J. Lang, Origami Artist and Consultant, LangOrigami.com

"Ever wonder how paper artists can fold a sheet of paper into amazingly complex shapes? Then this book is for you. There arent many resources out there for 3D, mathematically inspired origami, and Jun Mitani gives us a whole books worth of fun, interesting models to help fill this gap. Geometric origami fans will love this book." Thomas C. Hull, Western New England University and Author of Project Origami: Activities for Exploring Mathematics, Second Edition

Preface vii
Prologue: Origami Basics ix
Appendix: Simple, but Hard-to-Fold Crease Patterns xx
Author xxi
1 Axisymmetric 3D Origami
1(22)
1.1 Four Basic Types
1(1)
1.2 Basic Crease Patterns
1(2)
1.3 Flat-Pleat Cone Type
3(1)
1.4 Flat-Pleat Cylinder Type
4(1)
1.5 3D-Pleat Cone Type
5(1)
1.6 3D-Pleat Cylinder Type
6(2)
1.7 "Twist Closing" for Closing a Solid
8(1)
1.8 Solid with Curved Surfaces
9(1)
1.9 Stabilizing a Shape
10(13)
Appendix: 3D Origami Design Software
22(1)
2 Extension of Axisymmetric 3D Origami
23(14)
2.1 Connecting Two 3D Origami Shapes (Cylinder Type)
23(1)
2.2 Connecting Different 3D Origami Shapes (Cylinder Type)
23(2)
2.3 Connecting Different 3D Origami Shapes (Cone Type)
25(1)
2.4 Changing Pleat Orientation (Flat-Pleat Type)
26(1)
2.5 Resizing Pleats (Cylinder Type)
27(10)
3 Connecting Axisymmetric 3D Origami Shapes
37(14)
3.1 Connecting and Tiling 3D-Pleat Type on a Plane
37(1)
3.2 Connecting Flat-Pleat Type
38(3)
3.3 Connecting Different 3D Origami Shapes
41(1)
3.4 Making Use of Duality
41(1)
3.5 Layering Dual Patterns
42(9)
Appendix: OSME, The International Origami Conference
50(1)
4 Making Use of Mirror Inversion
51(18)
4.1 Cone-Based 3D Origami
51(1)
4.2 Mirror Inversion on a Developable Surface
51(2)
4.3 Specifying Mirror Planes by a Polygonal Line
53(2)
4.4 Relation between Sweep Locus and Shape
55(1)
4.5 Various Shapes
56(13)
Appendix: A Big Cardboard Art Object
67(2)
5 Application of Mirror Inversion
69(16)
5.1 Curved Fold Units Combined Together
69(3)
5.2 Inversion by Oblique Mirror Plane
72(13)
6 Voronoi Origami
85(10)
6.1 Tiling with Different Polygons
85(1)
6.2 Origami by Voronoi Tiling
86(9)
Appendix: Shapes Folded Out of Lattice Patterns
93(2)
7 Various Origami Designs
95(6)
8 Conclusion
101(4)
8.1 Origami Design Techniques
101(1)
8.2 Rigid Origami
101(1)
8.3 Curved Folds and Curved Origami
102(1)
8.4 Computational Origami
102(1)
8.5 Origami with Thick Materials
102(1)
8.6 Robots and Origami
103(1)
8.7 Relation between Living Things and Origami
103(1)
8.8 Origami and Mathematics
103(1)
8.9 Origami and Education
103(1)
8.10 Application of Origami to Industry
104(1)
8.11 Others
104(1)
Afterword 105(2)
Index 107
Jun Mitani is a professor of information and systems in the Faculty of Engineering at the University of Tsukuba. Dr. Mitani was previously a PRESTO researcher at the Japan Science and Technology Agency, a lecturer in the Department of Computer Science at the University of Tsukuba, and a postdoctoral researcher at RIKEN. His research focuses on computer graphics, including computer-aided origami design techniques. He is the author of the books Spherical Origami and 3D Magic Origami.
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