ORIGAMI 4: FOURTH INTERNATIONAL

Saturday, December 25, 2010 by: vntopic

ORIGAMI 4: FOURTH INTERNATIONAL
Author Robert J.Lang
Publisher Updating
Pages
Description ORIGAMI 4: FOURTH INTERNATIONAL

Date:2009

576 pp.

$ 79.00

This is a collection of 46 articles by various authors, edited by me, about the connections between origami, mathematics, science, and education, which grew out of the 4th International Conference on Origami in Mathematics, Science, and Education, held in 2006 at Caltech (which I organized). You'll find cutting-edge research by many researchers, including two papers on which I am a co-author.

The editor, Robert Lang, has compiled scholarly papers, many by renowned paperfolders on origami math, uses of origami in science and origami in education. A wonderful tool for educators.
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There is no diagrams in this book only scientifics articles. here is contents:

Preface ix

I Origami in Design and Art 1

1 Paper Nautili: A Model for Three-Dimensional Planispiral Growth 3

Arle Lommel

2 Curves and Flats 9

Saadya Sternberg

3 The Celes Family of Modular Origami 21

Miyuki Kawamura

4 Fractal Crease Patterns 31

Ushio Ikegami

5 Constructing Regular n-gonal Twist Boxes 41

sarah-marie belcastro and Tamara Veenstra

6 A Brief History of Oribotics 51

Matthew Gardiner

7 Graphics Transformation of Origami Models 61

L. I. Zamiatina

8 One-Dimensional Origami: Polyhedral Skeletons in Dance 75

Karl Schaffer

II Origami and Technology 85

1 The Science of Miura-Ori: A Review 87

Koryo Miura

2 Origami-Inspired Self-Assembly 101

Galen T. Pickett

3 Expandable Tubes with Negative Poisson’s Ratio and Their Application

in Medicine 117

Zhong You and Kaori Kuribayashi

4 Airbag Folding Based on Origami Mathematics 129

Christoffer Cromvik and Kenneth Eriksson

III Computational Origami 141

1 Surface Transitions in Curved Origami 143

Jeannine Mosely

2 Folding Curves 151

Robert Geretschl¨ager

3 The Method for Judging Rigid Foldability 165

Naohiko Watanabe and Ken-ichi Kawaguchi

4 Simulation of Rigid Origami 175

Tomohiro Tachi

5 Facet Ordering and Crease Assignment in Uniaxial Bases 189

Robert J. Lang and Erik D. Demaine

6 Integer Programming Models for Flat Origami 207

Goran Konjevod

7 Construction of 3D Virtual Origami Models from Sketches 217

Hiroshi Shimanuki, Jien Kato, and Toyohide Watanabe

8 An Excel-Based Solution to the One-Cut Folding Problem 229

Alexander C. Huang

9 Computer Origami Simulation and the Production of Origami Instructions 237

Tung Ken Lam

10 Recognition, Modeling, and Rendering Method for Origami Using 2D Bar

Codes 251

Jun Mitani

11 3D Origami Design Based on Tucking Molecules 259

Tomohiro Tachi

12 eGami: Virtual Paperfolding and Diagramming Software 273

Jack Fastag

13 Computational Origami System Eos 285

Tetsuo Ida, Hidekazu Takahashi, Mircea Marin, Asem Kasem,

and Fadoua Ghourabi

14 Computational Complexity of a Pop-Up Book 295

Ryuhei Uehara and Sachio Teramoto

15 Concepts and Modeling of a Tessellated Molecule Surface 305

Elias Halloran

16 Folding Paper Shopping Bags 315

Devin J. Balkcom, Erik D. Demaine, Martin L. Demaine, John

A. Ochsendorf, and Zhong You

17 Origamic Architecture in the Cartesian Coordinate System 335

Chew Min Cheong, Hajijubok Zainodin, and Hiromasa Suzuki

IV Origami Mathematics 349

1 How Many Ways Can You Edge-Color a Cube? 351

Charlene Morrow

2 Configuration Spaces for Flat Vertex Folds 361

Thomas C. Hull

3 One-, Two-, and Multi-Fold Origami Axioms 371

Roger C. Alperin and Robert J. Lang

The Power of Multifolds: Folding the Algebraic Closure of the Rational

 4 Numbers 395

Timothy Y. Chow and C. Kenneth Fan

Fujimoto, Number Theory, and a New Folding Technique 405

Tamara B. Veenstra

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