Show simple item record

dc.contributor.authorDemaine, Erik D.
dc.contributor.authorDemaine, Martin L.
dc.contributor.authorItoh, Jin-ichi
dc.contributor.authorLubiw, Anna
dc.contributor.authorNara, Chie
dc.contributor.authorO'Rourke, Joseph
dc.date.accessioned2015-11-23T15:19:39Z
dc.date.available2015-11-23T15:19:39Z
dc.date.issued2013-05
dc.date.submitted2012-05
dc.identifier.issn09257721
dc.identifier.urihttp://hdl.handle.net/1721.1/99989
dc.description.abstractWe 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 only fold back to the original. For example, each of the 43,380 edge unfoldings of a dodecahedron may only fold back to the dodecahedron, and we establish that 11 of the 13 Archimedean solids are also edge-refold rigid. We begin the exploration of which classes of polyhedra are and are not edge-refold rigid, demonstrating infinite rigid classes through perturbations, and identifying one infinite nonrigid class: tetrahedra.en_US
dc.language.isoen_US
dc.publisherElsevieren_US
dc.relation.isversionofhttp://dx.doi.org/10.1016/j.comgeo.2013.05.002en_US
dc.rightsCreative Commons Attributionen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/en_US
dc.sourceOther univ. web domainen_US
dc.titleRefold rigidity of convex polyhedraen_US
dc.typeArticleen_US
dc.identifier.citationDemaine, Erik D., Martin L. Demaine, Jin-ichi Itoh, Anna Lubiw, Chie Nara, and Joseph OʼRourke. “Refold Rigidity of Convex Polyhedra.” Computational Geometry 46, no. 8 (October 2013): 979–989.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Electrical Engineering and Computer Scienceen_US
dc.contributor.mitauthorDemaine, Erik D.en_US
dc.contributor.mitauthorDemaine, Martin L.en_US
dc.relation.journalComputational Geometryen_US
dc.eprint.versionAuthor's final manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dspace.orderedauthorsDemaine, Erik D.; Demaine, Martin L.; Itoh, Jin-ichi; Lubiw, Anna; Nara, Chie; OʼRourke, Josephen_US
dc.identifier.orcidhttps://orcid.org/0000-0003-3803-5703
mit.licensePUBLISHER_CCen_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record