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. 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:- Miri Golan, Director of the Israeli Origami Center
- MacArthur “Genius” Award-winning Professor Erik Demaine, MIT
- 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.
Registration
Online registration for 4OSME is now closed.
Proceedings
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.
Committees
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 |
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3:00 – 7:00 | Registration | ||
7:00 – 7:30 | Welcoming Remarks | ||
7:30 – 9:00 | Reception and Poster Session | ||
Saturday, September 9 |
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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 |
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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 |
The Fourth International Conference on Origami in Science, Mathematics, and Education, was held at the California Institute of Technology in 2006.