Refold rigidity of convex polyhedra

Abstract

We show that every convex polyhedron may be unfolded to one planar piece, and then refolded to a different convex polyhedron. If the unfolding is restricted to cut only edges of the polyhedron, we identify several polyhedra that are “edge-unfold rigid” in the sense that each of their unfoldings may only fold back to the original. For example, each of the 43… (More)
DOI: 10.1016/j.comgeo.2013.05.002

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