Origami5 continues in the excellent tradition of its four previous incarnations, documenting work presented at an extraordinary series of meetings that explored the connections between origami, mathematics, science, technology, education, and other academic fields.The fifth such meeting, 5OSME (July 13-17, 2010, Singapore Management University) fol

part 1|2 pages

Part I. Origami History, Art, and Design

chapter 1|10 pages

History of Origami in the East and the West before Interfusion

ByKoshiro Hatori

chapter 3|10 pages

Betsy Ross Revisited: General Fold and One-Cut Regular and Star Polygons

ByArnold Tubis, Crystal Elaine Mills

chapter 4|14 pages

Reconstructing David Huffman’s Legacy in Curved-Crease Folding

ByErik D. Demaine, Martin L. Demaine, Duks Koschitz

chapter 6|12 pages

Compression and Rotational Limitations of Curved Corrugations

ByChristine E. Edison

chapter 7|8 pages

Polygon Symmetry Systems

ByAndrew Hudson

chapter 8|10 pages

New Collaboration on Modular Origami and LED

ByMiyuki Kawamura, Hiroyuki Moriwaki

chapter 9|12 pages

Using the Snapology Technique to Teach Convex Polyhedra

ByFaye Goldman

chapter 10|16 pages

A Systematic Approach to Twirl Design

ByKrystyna Burczyk, Wojciech Burczyk

chapter 11|12 pages

Oribotics: The Future Unfolds

ByMatthew Gardiner

part 2|2 pages

Part II. Origami in Education

chapter 12|10 pages

Origametria and the van Hiele Theory of Teaching Geometry

ByMiri Golan

chapter 13|14 pages

Student Teachers Introduce Origami in Kindergarten and Primary Schools: Froebel Revisited

ByMaria Llu¨ısa Fiol, Neus Dasquens, and Montserrat Prat

chapter 14|8 pages

Narratives of Success: Teaching Origami in Low-Income Urban Communities

ByChristine E. Edison

chapter 15|16 pages

Origami and Spatial Thinking of College-Age Students

ByNorma Boakes

chapter 16|16 pages

Close Observation and Reverse Engineering of Origami Models

ByJames Morrow, Charlene Morrow

chapter 17|14 pages

Origami and Learning Mathematics

BySue Pope, Tung Ken Lam

chapter 18|14 pages

Hands-On Geometry with Origami

ByMichael J. Winckler, Kathrin D. Wolf, Hans Georg Bock

chapter 19|18 pages

My Favorite Origamics Lessons on the Volume of Solids

ByShi-Pui Kwan

part 3|2 pages

Origami Science, Engineering, and Technology

chapter 20|12 pages

Rigid-Foldable Thick Origami

ByTomohiro Tachi

chapter 21|12 pages

Folding a Patterned Cylinder by Rigid Origami

ByKunfeng Wang, Yan Chen

chapter 22|14 pages

The Origami Crash Box

ByJiayao Ma, Zhong You

chapter 23|14 pages

Origami Folding: A Structural Engineering Approach

ByMark Schenk, Simon D. Guest

chapter 24|18 pages

Designing Technical Tessellations

ByYves Klett, Klaus Drechsler

chapter 25|12 pages

A Simulator for Origami-Inspired Self-Reconfigurable Robots

BySteven Gray, Nathan J. Zeichner, Mark Yim, Vijay Kumar

chapter 26|12 pages

A CAD System for Diagramming Origami with Prediction of Folding Processes

ByNaoya Tsuruta, Jun Mitani, Yoshihiro Kanamori

chapter 27|24 pages

Development of an Intuitive Algorithm for Diagramming and 3D Animated Tutorial for Folding Crease Patterns

ByHugo Akitaya, Matheus Ribeiro, Carla Koike, Jose Ralha

chapter 28|14 pages

Hands-Free Microscale Origami

ByNoy Bassik, George M. Stern, Alla Brafman, Nana Y. Atuobi

chapter 29|8 pages

Foldable Parylene Origami Sheets Covered with Cells: Toward Applications in Bio-Implantable Devices

ByKaori Kuribayashi-Shigetomi, Shoji Takeuchi

part 4|2 pages

Part IV. Mathematics of Origami

chapter 30|10 pages

Introduction to the Study of Tape Knots

ByJun Maekawa

chapter 31|16 pages

Universal Hinge Patterns for Folding Orthogonal Shapes

ByNadia M. Benbernou, Erik D. Demaine, Martin L. Demaine

chapter 32|16 pages

A General Method of Drawing Biplanar Crease Patterns

ByHerng Yi Cheng

chapter 34|6 pages

Folding Any Orthogonal Maze

ByErik D. Demaine, Martin L. Demaine, Jason S. Ku

chapter 35|20 pages

Every Spider Web Has a Simple Flat Twist Tessellation

ByRobert J. Lang, Alex Bateman

chapter 36|14 pages

Flat-Unfoldability and Woven Origami Tessellations

ByRobert J. Lang

chapter 37|10 pages

Degenerative Coordinates in 22.5◦ Grid System

ByTomohiro Tachi, Erik D. Demaine

chapter 38|8 pages

Two Folding Constructions Robert Orndorff

chapter 39|12 pages

Variations on a Theorem of Haga

ByEmma Frigerio

chapter 42|10 pages

A Note on Operations of Spherical Origami Construction

ByToshikazu Kawasaki

chapter 43|22 pages

Origami Alignments and Constructions in the Hyperbolic Plane

ByRoger C. Alperin

chapter 44|10 pages

A Combinatorial Definition of 1D Flat-Folding

ByHidefumi Kawasaki

chapter 45|14 pages

Stamp Foldings with a Given Mountain-Valley Assignment

ByRyuhei Uehara

chapter 46|10 pages

Flat Vertex Fold Sequences

ByThomas C. Hull, Eric Chang

chapter 47|18 pages

Circle Packing for Origami Design Is Hard

ByErik D. Demaine, Sa´ndor P. Fekete, and Robert J. Lang