Short description:

While many individuals have discovered discrete connections among origami, mathematics, science, technology, and education during the twentieth century, the field really took off when previously isolated individuals began to make stronger connections with each other, exploring the links between origami and "the outside world." This volume brings together an unprecedented number of researchers who discuss topics ranging from mathematics to technology to educational uses of origami to fine art to computer programs for the design of origami.

Long description:

The connections between origami, mathematics, science, technology, and education have been a topic of considerable interest now for several decades. While many individuals have happened upon discrete connections among these fields during the twentieth century, the field really took off when previously isolated individuals began to make stronger connections with each other through a series of conferences exploring the links between origami and "the outside world." The Fourth International Meeting on Origami in Science, Mathematics, and Education (4OSME), held in September, 2006, at the California Institute of Technology in Pasadena, California, brought together an unprecedented number of researchers presenting on topics ranging from mathematics, to technology, to educational uses of origami, to fine art, and to computer programs for the design of origami. Selected papers based on talks presented at that conference make up the book you hold in your hands.

These 46 diverse, first-class articles give the field a fabulous overview and offer invaluable citations, particularly to Internet resources. In particular. R. C. Alperin and R. J. Lang's 'One-, Two-, and Multi-Fold Origami Axioms' and T. Y. Chow and C. K. Fan's 'The Power of Multifolds' together make a fascinating contemporary foil to any examination of classical ruler-and-compass constructions in a geometry or Galois theory course. Highly recommended.
?D. V. Feldman, CHOICE, June 2010

Origami is an unusual area of mathematics in that it is as much an art form as it is mathematics and very young children can be exposed to and enthralled by it. The breadth of structures that can be made by folding paper is substantial and expanding all the time. This book is a mathematical examination and explanation of origami; it is a collection of research papers written by some of the experts in the field.
?Charles Ashbacher, The Mathematical Association of America, December 2009

Fantastic book! It will create new folds in your brain whether you are an artist, scientist, inventor, educator, or simply like to be amazed. The balance between mathematical theory and manipulative practice, and between artistic and educational applications makes this a book for everyone. I look forward to using this book personally and professionally.
?Robert Root-Bernstein, Ph. D., co-author of Sparks of Genius, June 2009

copy of Origami 4 just arrived!! Wow, I have just flipped through it, and for now this is the book I would take with me on a deserted island. Instead I need to finish getting ready for our local meeting tomorrow night, teaching at a retirement home on Friday, and teaching during a Girl Scout Alumni Campout this weekend. The cover is shiny and slick, in color, and the binding seems sturdy for all 560 pages of the book. The center stays open by itself, and closer to the covers, not much pressure is needed to keep it open. The spine margins allow the page to be read, without breaking the spine. The pages are well printed, with good B&W contrast. Sadly, no color inside. We have been spoiled with color. It is helpful, but truly not necessary. It is a great book, thanks to all who submitted articles, and to Robert Lang for editing.
?Kathy Knapp, Founder of OPA (Origami Peoria Area), September 2009

Table of Contents:

Origami in Design and Art. Origami and Technology. Computational Origami. Origami Mathematics. Origami in Education.