The father of modern origami practice was Akira Yoshizawa, who, in 1950s Japan, brought a new technical perfection and creativity to what was considered a colloquial diversion. Robert Lang is the main contemporary proponent of computational origami, using his expertise to solve engineering problems when he is not working on his paper sculptures. He's written a program that will take a desired 3-d model and translate it into a foldable pattern printed on a paper, called a crease pattern. When viewed side-by-side these crease patterns resonate with their solutions.
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Link to audio of a speech by him
The NY Times had an article some months ago on computational origami, though it is now lost in the bowels of their subscription service.
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