(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., Demaine, Martin L., Hart, Vi, Price, Gregory N., Tachi, Tomohiro
Other Authors: Lincoln Laboratory
Format: Article
Language:en_US
Published: Springer Japan 2012
Online Access:http://hdl.handle.net/1721.1/73839
https://orcid.org/0000-0003-3803-5703