2006-10-16 Update: 4OSME was a rousing success! Over 165 people attended some 70 talks. The 4OSME proceedings has been published by A K Peters, Ltd (now part of CRC Press).

Several media groups covered 4OSME. See photographs and a trailer from Green Fuse Films' Peabody-award-winning documentary on origami (portions of which were filmed at 4OSME), Between the Folds.


About our logo: the fractal logo image is a real origami shape designed and folded by Ushio Ikegami, who presented a talk on origami fractals at 4OSME. Lucas Garron, who also gave a talk, has created a nice animation of the logo, using the ray-tracing software POV-Ray.

During the last 20 years, there have been 3 highly successful international scientific conferences exploring the interactions between origami, mathematics, and science. Continuing this series, OrigamiUSA, the American national origami society, is pleased to announce The Fourth International Conference on Origami in Science, Mathematics, and Education (4OSME), September 8-10, 2006, at the California Institute of Technology, Pasadena, California, USA.

In 1989, 1994, and 2001 the first three meetings devoted to origami research and applications in mathematics, science, and technology were held in Italy, Japan, and California, respectively. (Click here for information about 3OSME from 2001.) OrigamiUSA is proud to sponsor this fourth such meeting in collaboration with the Department of Mathematics and additional support from the Information Science and Technology Initiative at the California Institute of Technology.

Scope of the Conference

This interdisciplinary conference brings together artists, scientists, technologists, and educators who explore the relationships between folding, art, mathematics, technology, and education.

Features of the Program

  • Two plenary sessions (55 minute presentations which will have nothing else concurrently scheduled) by notable speakers on origami mathematics, scientific applications of paperfolding, and the use of origami in education at all levels. Plenary speakers are:
  • Concurrent sessions (25 minute talks) on topics such as:
    • Mathematics and Computational Origami
    • Scientific and Technological Applications of Origami
    • Educational Uses of Origami
  • An exhibition of origami structures and poster presentations.
  • Opportunity to meet origami artists, scientists, mathematicians, researchers, and educators from around the world!

Schedule and Presentations

Some 70 contributed papers will be presented as 25-minute talks in concurrent sessions. The complete schedule and abstracts of the contributed papers is below.

Key Dates

Important dates are as follows:

  • Technical Program Available: June 30, 2006
  • Registration Available: July 20, 2006
  • Early Bird Registration due: August 15, 2006
  • Conference: September 8-10, 2006

Exhibition and Poster Display

Participants are invited to bring origami works and/or informational posters on topics related to origami science, math, and education for display during the meeting. If you would like to have a display area reserved for you, please indicate this when you register.


Online registration for 4OSME is now closed.


In addition to the abstracts, selected extended papers of talks presented at 4OSME and other origami work in math, science, and education have been compiled in a proceedings book for the conference.


Technical Committee

  • Robert J. Lang, artist, engineer, and consultant
  • Professor Thomas Hull, Merrimack College (USA)
  • Dr. Ryda D. Rose, University of Pennsylvania (Emerita, USA)
  • Professor Günter Rote, Freie Universität Berlin (Germany)
  • Professor Toshikazu Kawasaki, Anan College of Technology (Japan)
  • Professor Koichi Tateishi, Kobe College (Japan)

Organizing Committee

  • Robert J. Lang, OrigamiUSA
  • Jan Polish, OrigamiUSA
  • V'Ann Cornelius, OrigamiUSA
  • Vicky Mihara Avery, OrigamiUSA
  • Boaz Shuval, OrigamiUSA
  • Arnold Tubis, OrigamiUSA
  • Thomas Hull, OrigamiUSA

4OSME Program

Program Schedule

Friday, September 8

3:00 - 7:00 Registration
7:00 - 7:30 Welcoming Remarks
7:30 - 9:00 Reception and Poster Session

Saturday, September 9

9:00 - 12:00 Technology 1 Curved Folds Mathematical Design
12:00 - 1:00 Lunch (box lunches available)
1:00 - 3:30 Flat Foldability Flexible Foldability Connections with Math and Art
3:30 - 4:00 Break
4:00 - 5:00 Plenary 1: Miri Golan, Israeli Origami Center
5:00 - 6:00 Plenary 2: Erik Demaine, Massachusetts Institute of Technology
6:00 - 7:00 Break
7:00 - 9:00 Banquet

Sunday, September 10

9:00 - 12:00 Technology 2 Algorithms Education 1
12:00 - 1:00 Lunch (box lunches available)
1:00 - 4:30 Number Theory and Algebra Computer Tools Education 2
4:30 - 6:30 Break
6:30 - 10:30 Reception at Al Seckel's in Malibu

Sessions and Papers

Technology 1 (Saturday morning A)

Time Author Affiliation Title
9:00 - 9:25 Koryo Miura University of Tokyo Science of Miura-ori - A Review
9:30 - 9:55 Galen Pickett California State University, Long Beach DNA-Origami Applications in Polymer Model Materials
10:00 - 10:25 Annabellee V. Fernandez -- Use of origami modular models to illustrate viral architectural structures
10:30 - 10:55 Paul Rothemund California Institute of Technology Depts. of Computer Science and Computation & Neural Systems Creating arbitrary nanoscale shapes and patterns with scaffolded DNA origami
11:00 - 11:25 Paul Haeberli Lamina Design Building Free-Form Structures From Sheet Material
11:30 - 11:55 Devin Balkom Department of Computer Science, Dartmouth College Robotic Origami Folding

Curved Folds (Saturday morning B)

Time Author Affiliation Title
9:00 - 9:25 Arle Lommel Department of Folklore and Ethnomusicology Indiana University, Bloomington Curvilinear Folds and the Nautilus: Creating a Three-dimensional Representation of a Natural Spiral
9:30 - 9:55 Jeannine Mosely -- Surface Transitions in Curved Origami
10:00 - 10:25 Robert Geretschlaeger BRG Kepler, Graz, Austria Folding Curves
10:30 - 10:55 Saadya Sternberg -- CURVES and FLATS
11:00 - 11:25 Jun Maekawa -- Geometrical Tree of Fortune Cookies
11:30 - 11:55 Break

Mathematical Design (Saturday morning C)

Time Author Affiliation Title
9:00 - 9:25 Chris K. Palmer Illinois Institute of Technology Recursive folding from Flower Towers to Whirl Spools
9:30 - 9:55 Tomoko Fuse -- Tower Spirals
10:00 - 10:25 Miyuki Kawamura -- The Celes Family
10:30 - 10:55 Ushio Ikegami Tokyo Metropolitan University Fractal Crease Patterns
11:00 - 11:25 (1) sarah-marie belcastro and (2) Tamara Veenstra (1) Smith College, (2) University of Redlands Generalizing Twist Boxes
11:30 - 11:55 Break

Flat Foldability (Saturday afternoon A)

Time Author Affiliation Title
1:00 - 1:25 Jien Kato, Hiroshi Shimanuki, and Toyohide Watanabe Graduate School of Information Science, Nagoya University Understanding and Reconstruction of Folding Process Explained by Illustrations of Origami Drill Books
1:30 - 1:55 Koichi Tateishi Kobe College, Kobe, Japan Redundancies of Verbal Instructions in Origami Diagrams
2:00 - 2:25 Hideaki Azuma -- On the Fish Base Diagram and its Flatly Foldable Property
2:30 - 2:55 (1) Toshikazu Kawasaki and (2) Hidefumi Kawasaki (1) Anan National College of Technology, Japan, (2) Faculty of Mathematics, Kyushu University, Japan Orizuru deformation theory for unbounded quadrilaterals
3:00 - 3:25 Toshikazu Kawasaki Anan National College of Technology, Japan A crystal map of the orizuru world

Flexible Foldability (Saturday afternoon B)

Time Author Affiliation Title
1:00 - 1:25 Cheong Chew Min University of Tokyo and Universiti Malaysia Sabah Origamic Architecture in the Cartesian Coordinate System
1:30 - 1:55 Naohiko Watanabe -- The Method for Judging Rigid Foldability
2:00 - 2:25 Matthew Gardiner -- Oribotics: a brief history of oribotic technology
2:30 - 2:55 Fernando Sierra Los Andes University in Bogota, Colombia Yoshimura Pattern as a Tensegrity System
3:00 - 3:25 Tomohiro Tachi University of Tokyo Simulation of Rigid Origami

Connections to Art & Math (Saturday afternoon C)

Time Author Affiliation Title
1:00 - 1:25 Ludmila Zamiatina -- Graphics Transformation of Origami Models
1:30 - 1:55 Jeannine Mosely -- Counter Productivity in Minimalist Origami
2:00 - 2:25 Greg N. Frederickson Purdue University Folding Dissections: Geometric cousins of Origami
2:30 - 2:55 Karl Schaffer Dr. Schaffer and Mr. Stern Dance Ensemble and DeAnza College One-Dimensional Origami: Polyhedral Skeletons in Dance
3:00 - 3:25 Emma Frigerio Universita di Milano Dipartimento di Matematica Origami, Isometries and Multiple Tangram

Plenary Talks

Time Author Affiliation Title
4:00 - 4:55 Miri Golan Israeli Origami Center Origametria - Using Origami as a Learning Tool to Teach Geometry
5:00 - 5:55 Erik Demaine Massachusetts Institute of Technology The Mathemagic of Origami

Technology 2 (Sunday morning A)

Time Author Affiliation Title
9:00 - 9:25 Zhong You(1) and Kaori Kuribayashi(2) (1) Deparment of Engineering Science, Oxford University; (2) Center for International Research on Micromechatronics, Institute of Industrial Science, University of Tokyo Expandable Tubes with Negative Poisson's Ratio and Their Application in Medicine
9:30 - 9:55 Elias Halloran University of California, Santa Cruz Approximation of Surfaces by Origami
10:00 - 10:25 Erik D. Demaine(1), Martin L. Demaine(1), John A. Ochsendorf(2), Zhong You(3) (1) Computer Science and Artificial Intelligence Laboratory, MIT; (2) School of Architecture, MIT; (3) Department of Engineering Science, Oxford University Folding Shopping Bags
10:30 -10:55 Cristoffer Cromvik Chalmers University of Technology Airbag Folding based on Origami Mathematics
11:00 -11:25 Marshall Bern and Barry Hayes (1) Xerox PARC, (2) Google Flat-Folding Polyhedra
11:30 - 11:55 Galen Pickett California State University, Long Beach Self-Folding Membranes

Algorithms (Sunday morning B)

Time Author Affiliation Title
9:00 - 9:25 Nihal J. Mehta, Ph.D. -- Generating Folding Sequence from a Crease Pattern
9:30 - 9:55 (1) Robert J. Lang and (2) Erik D. Demaine (1) N/A, (2) Massachusetts Institute of Technology Facet Stacking and Polygon Packing: Advances in the Theory of Origami Base Design
10:00 - 10:25 D. Burago, Svetlana Krat, and A. Petrunin Georgia Institute of Technology Approximating Short Maps by PL-Isometries and Arnold's "Can you make your dollar bigger?" Problem
10:30 - 10:55 Goran Konjevod Arizona State University Integer Programming for Flat Origami
11:00 - 11:25 Lucas Garron Northgate High School Origami-Constructing a Waterbomb Molecule
11:30 - 11:55 Hiroshi Shimanuki, Jien Kato, and Toyohide Watanabe Graduate School of Information Science, Nagoya University Construction of 3-D Virtual Origami Models from Sketches

Education 1 (Sunday Morning C)

Time Author Affiliation Title
9:00 - 9:25 Norma Boakes, Ed. D. Richard Stockton College of New Jersey The effects of Origami lessons on students' spatial visualization abilities and mathematics achievement in a seventh-grade mathematics classroom
9:30 - 9:55 Michael Wilson, Robin Flanagan, Rona Gurkewitz, and Laura Skrip Western Connecticut State University Understanding the Effect of Origami Practice, Cognition, and Language on Spatial Reasoning
10:00 - 10:25 Marilyn Lewis -- The effectiveness of origami as a tool to enhance verbal expression
10:30 - 10:55 Peg Cagle Lawrence Gifted Magnet, Los Angeles Unified School District Modular Origami in the Secondary Geometry Classroom
11:00 - 11:25 Krystyna Burczyk -- Origami in mathematics education. Notes on mathematical language in model folding
11:30 - 11:55 (1) Arnold Tubis and (2) Crystal Mills (1) Department of Physics, Purdue University, and Institute for Nonlinear Science, University of California, San Diego, at La Jolla, (2) California Mathematics Council ComMuniCator Editorial Panel Teaching Mathematics with the Traditional Masu and its Many Generalizations

Number Theory and Algebra (Sunday Afternoon A)

Time Author Affiliation Title
1:00 - 1:25 Robert J. Lang -- Alignments and Axioms: Extending Huzita-Hatori to Two-Fold Operations
1:30 - 1:55 Roger Alperin San Jose State University New Aspects of Mathematical Origami
2:00 - 2:25 Charles H. Jones -- A Look at the Origami Rank of Creases and Points
2:30 - 2:55 (1) Timothy Y. Chow and (2) C. Kenneth Fan (1) Center for Communications Research, Princeton, NJ The Power of Multifolds: Folding the algebraic closure of the rational numbers
3:00 - 3:25 Tamara Veenstra University of Redlands, Redlands CA A Number Theory Application to the Fujimoto Approximation Technique
3:30 - 3:55 Charlene Morrow Mount Holyoke College 15,408 Ways to Color the Edges of an Origami Cube
4:00 - 4:25 Thomas C. Hull Merrimack College More results on counting flat vertex folds

Computer Tools (Sunday Afternoon B)

Time Author Affiliation Title
1:00 - 1:25 Alexander C. Huang Plano Senior High School, Plano, Texas SHORTCUT! - Exploration of Straight-Skeleton Construction for the Single-Cut Conjecture in Origami Using Topological Analysis and Computational Geometry Programming with Excel
1:30 - 1:55 Tung Ken Lam St Martin's College, Lancaster, UK; British Origami Society Computer origami simulation and the production of origami instructions
2:00 - 2:25 Jun Mitani University of Tsukuba, Department of Computer Science Recognition, modeling and rendering method for Origami using 2D bar codes
2:30 - 2:55 Tomohiro Tachi The University of Tokyo 3D Origami Design based on Tucking Molecule
3:00 - 3:25 Jack Fastag -- eGami: Virtual Paperfolding and Diagramming Software
3:30 - 3:55 Tetsuo Ida, Hidekazu Takahashi, Mircea Marin, Asem Kasem, and Fadoua Ghourabi University of Tsukuba, Department of Computer Science Computational Origami System Eos
4:00 - 4:25 Break

Education 2 (Sunday Afternoon C)

Time Author Affiliation Title
1:00 - 1:25 (1) V'Ann Cornelius and (2) Arnold Tubis (1) Origami USA and Mingei International Museum, San Diego, CA, (2) Department of Physics, Purdue University, and Institute for Nonlinear Science, University of California, San Diego On the Effective Use of Origami in the Mathematics Classroom
1:30 - 1:55 Pete Edwards Sage Valley School Integrating Origami in Math/Science Teaching
2:00 - 2:25 (1) Jonathan Baxter, (2) Hugh Gribben, (2) Greg Oates, and (2) Judy Paterson (1) Origami New Zealand, (2) University of Auckland The Great Origami Maths and Science Show: What's up in Origami and Mathematics Down-under?
2:00 - 2:25 Alan Russell Elon University Triangle Centers and Origami
3:00 - 3:25 James Morrow Mount Holyoke College Investigating Mathematical Ways of Reasoning and Knowing with Paperfolding
3:00 - 3:25 Galen Pickett California State University, Long Beach A Six Week Origami Physics Course
4:00 - 4:25 Break