(Non)Existence of Pleated Folds: How Paper Folds Between Creases

(Non)Existence of Pleated Folds: How Paper Folds Between Creases

We prove that the pleated hyperbolic paraboloid, a familiar origami model known since 1927, in fact cannot be folded with the standard crease pattern in the standard mathematical model of zero-thickness paper. In contrast, we show that the model can be folded with additional creases, suggesting that...

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Bibliographic Details
Main Authors: Demaine, Erik D. (Contributor), Demaine, Martin L. (Contributor), Hart, Vi (Author), Price, Gregory N. (Contributor), Tachi, Tomohiro (Author)
Other Authors: Lincoln Laboratory (Contributor), Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory (Contributor), Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science (Contributor)
Format: Article
Language:English
Published: Springer Japan, 2012-10-10T16:25:24Z.
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