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dc.contributor.authorConnelly, Robert
dc.date.accessioned2005-12-23T13:11:54Z
dc.date.available2005-12-23T13:11:54Z
dc.date.issued1990
dc.identifier.citationConnelly, Robert. "Rigid Circle and Sphere Packings. Part II: Infinite Packings with Finite Motion". Structural Topology, 1990, núm. 16
dc.identifier.issn0226-9171
dc.identifier.urihttp://hdl.handle.net/2099/1058
dc.description.abstractUne juxtaposition P de cercles dans le plan est dite n-stable pour n = 1,2, . . . si tout ensemble de n cercles est tenu fixe par les autres. Pest destabilité finie si elle est n-stable pour tou t n = 1,2, . . . Parmi les 31 familles de juxtapositions régulières connexes de cercles dans le plan que I'on a classifiées, certaines sont de stabilité finie, d'autres non. Dans 3 des cas de familles de juxtapositions qui ne sont pas de stabilité finie, il apparaït que la plus petite valeur de n pour laquelle elles ne sont pas n-stables est arbitrairement grande, et dépend d'un paramètre de la famille
dc.description.abstractA packing P of circles in the plane is called n-stable, for n = 1,2… if every set of n circles is held fixed by the rest. P is called finitely stable if it is n-stable for every n = 1, 2,. . . For each of the 31 families of regular connected circle packings in the plane we classify which are finitely stable and which are not. For 3 of the cases when the families of packings are not finitely stable, it turns out that the smallest n for which they are not n-stable gets arbitrarily large, depending on a parameter of the family.
dc.format.extent57-76
dc.language.isoeng
dc.language.isofra
dc.publisherUniversité du Québec à Montréal
dc.relation.ispartofStructutal Topology, 1990, núm. 16
dc.relation.ispartofStructural Topology, 1990, núm. 16
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Topologia
dc.subjectÀrees temàtiques de la UPC::Arquitectura
dc.subject.otherfinitely stable
dc.subject.otherregular
dc.subject.otheraverage degree of a vertex
dc.subject.otherdegree
dc.titleRigid Circle and Sphere Packings. Part II: Infinite Packings with Finite Motion
dc.title.alternativeJuxtapositions Rigides de Cercles et de Sphères. Partie II: Juxtapositions Infinites de Mouvement Fini
dc.typeArticle
dc.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access


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