(Non)existence of Pleated Folds: How Paper Folds Between Creases (2009)
Demaine, Erik D., Demaine, Martin L., Hart, Vi, Price, Gregory N., Tachi, Tomohiro
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...
Continuous Blooming of Convex Polyhedra (2009)
Demaine, Erik D., Demaine, Martin L., Hart, Vi, Iacono, John, Langerman, Stefan, O'Rourke, Joseph
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 be refined (further...