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dc.contributor.authorCohn, Henry
dc.contributor.authorJiao, Yang
dc.contributor.authorKumar, Abhinav
dc.contributor.authorTorquato, Salvatore
dc.date.accessioned2012-06-08T14:50:22Z
dc.date.available2012-06-08T14:50:22Z
dc.date.issued2011-11
dc.date.submitted2011-05
dc.identifier.issn1465-3060
dc.identifier.issn1364-0380
dc.identifier.urihttp://hdl.handle.net/1721.1/71122
dc.description.abstractA packing of spherical caps on the surface of a sphere (that is, a spherical code) is called rigid or jammed if it is isolated within the space of packings. In other words, aside from applying a global isometry, the packing cannot be deformed. In this paper, we systematically study the rigidity of spherical codes, particularly kissing configurations. One surprise is that the kissing configuration of the Coxeter–Todd lattice is not jammed, despite being locally jammed (each individual cap is held in place if its neighbors are fixed); in this respect, the Coxeter–Todd lattice is analogous to the face-centered cubic lattice in three dimensions. By contrast, we find that many other packings have jammed kissing configurations, including the Barnes–Wall lattice and all of the best kissing configurations known in four through twelve dimensions. Jamming seems to become much less common for large kissing configurations in higher dimensions, and in particular it fails for the best kissing configurations known in 25 through 31 dimensions. Motivated by this phenomenon, we find new kissing configurations in these dimensions, which improve on the records set in 1982 by the laminated lattices.en_US
dc.language.isoen_US
dc.publisherMathematical Sciences Publishersen_US
dc.relation.isversionofhttp://dx.doi.org/10.2140/gt.2011.15.2235en_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.sourceKumar via Michael Nogaen_US
dc.titleRigidity of spherical codesen_US
dc.typeArticleen_US
dc.identifier.citationCohn, Henry et al. “Rigidity of spherical codes.” Geometry & Topology 15.4 (2011): 2235-2273. © Copyright 2011 Mathematical Sciences Publishersen_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematicsen_US
dc.contributor.approverKumar, Abhinav
dc.contributor.mitauthorKumar, Abhinav
dc.relation.journalGeometry and Topologyen_US
dc.eprint.versionFinal published versionen_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dspace.orderedauthorsCohn, Henry; Jiao, Yang; Kumar, Abhinav; Torquato, Salvatoreen
mit.licensePUBLISHER_POLICYen_US
mit.metadata.statusComplete


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