Refold rigidity of convex polyhedra

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-refold rigid” in the sense that each of their unfoldings may...

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Bibliographic Details
Main Authors: Demaine, Erik D., Demaine, Martin L., Itoh, Jin-ichi, Lubiw, Anna, Nara, Chie, O'Rourke, Joseph
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Format: Article
Language:en_US
Published: Elsevier 2015
Online Access:http://hdl.handle.net/1721.1/99989
https://orcid.org/0000-0003-3803-5703