200 citations
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Showing 2009 · cs.CGShow all
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cs.CG2009
(Non)existence of Pleated Folds: How Paper Folds Between Creases
Erik D. Demaine, Martin L. Demaine, Vi Hart +2
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 m…
cs.CG2009★ 1 cited
Continuous Blooming of Convex Polyhedra
Erik D. Demaine, Martin L. Demaine, Vi Hart +3
We construct the first two continuous bloomings of all convex polyhedra. First, the source unfolding can be continuously bloomed. Second, any unfolding of a convex polyhedron can b…