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Science of Origami

Mathematicians and Artists Use Algorithms to Make Complicated Paper Sculptures

September 1, 2008

Mathematicians design new figures in a traditional art form called origami, using modern techniques. Innovations developed in pursuit of the art find application in multiple fields, including applied mathematics and engineering. One application is the use of folding algorithms to pack air bags.

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ABOUT ORIGAMI: Paper folded into delicate shapes may look like art, but at its foundation is a strong supporting layer of math. Beyond a basic paper airplane or simple animal shape, geometry and mathematical calculations enable the creation of astonishing shapes and designs. People have developed a way of diagramming their creations called sequenced crease patterns, which indicate where to make folds, and in what order.

ORIGAMI REVEALS ANSWERS: Algorithms developed for use in origami have been applied to several other fields. Engineers use the algorithms to design the best way to fold an airbag for optimum deployment and astronomers use them to compute the optimum configuration of space telescope lenses. People use the techniques of origami to design games, puzzles, and even magic tricks.

The American Mathematical Society and the Mathematical Association of America contributed to the information contained in the TV portion of this report.

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On The Web: Robert J. Lang: Origami

To Go Inside This Science: ý
Dr. Robert Lang
Alamo, CAý
925 855 9090
robert@langorigami.com ý

American Mathematical Society
Providence, RI 02904-2294
1-800-321-4267

Mathematical Association of America
Washington, DC 20036-1358
1-800-741-9415