The new issue of Smithosinian magazine profiles Robert Lang, physicist and pioneer of technical and computational origami. From the article:
Images Articles 2007 Jun Origami-FrogNo one knows for sure when or where paper folding originated, but it seems to have been well established by the 1600s in Japan, where messages of good luck and prosperity have long been folded into ceremonial pieces. There was also an independent tradition of paper folding in Europe. But until the mid-20th century, practitioners had been limited to only a few hundred classic and oft-repeated designs. Then, in the 1950s, new techniques and designs created by Japanese origami artist Akira Yoshizawa started being published and exhibited. Soon after, experts began working on the mathematics that would allow the design and computation of abstract geometric shapes in folded paper. Lang and others use analytical geometry, linear algebra, calculus and graph theory to solve origami problems.
In the early '90s, Lang and Japanese origami master Toshiyuki Meguro simultaneously hit on a technique that has revolutionized folding. Now called "circle-river packing," the technique allowed origamists to do something that had always eluded them—create models with realistic appendages in specific spots. Each of a design's "flaps"—an area of the paper that is to become a leg or an antenna, for instance—is represented by a circle or a strip. Circles are drawn, or "packed," onto a square piece of paper, like oranges in a crate, with no overlap. The spaces between the circles may contain strips, or rivers, hence the name, circle-river packing. For the first time, designs that existed only in the mind's eye could be reliably reproduced without endless—and sometimes fruitless—trial and error.
Link
• Robert Lang's Insect Origami Link
• Curved tetrahedron origami Link
• All shapes in origami Link
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