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13.349 Articles in journals published by the UPC
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Rigid Circle and Sphere Packings. Part I: Finite Packings

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Connelly, Robert
Document typeArticle
Defense date1988
PublisherUniversité du Québec à Montréal
Université du Québec à Montréal
Rights accessOpen Access
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
Abstract
On montre qu'une juxtaposition P de cercles (ou de sphères) dans un polygone plan (ou un polyhèdre) est localement maximalement dense si, et seulement si, il existe une sousjuxtaposition qui possède un graphe infinitésimalement rigide, ou si I'un des éléments de la juxtaposition glisse librement entre des droites parallèles. On interprète ici la rigidité infinitésimale dans le même sens que pour les charpentes lorsque toutes les arêtes sont desétais. Les étais peuvent s'allonger ou demeurer de longueur constante, mais n'admettent pas de diminution de leur longueur.
 
For a circle (or sphere) packing P in a plane polygonal (or polyhedral) container, we show that P is locally maximally dense if and only if some subpacking has an infinitesimally rigid graph or one of the packing elements slides freely between parallel lines. Infinitesimal rigidity is in the sense of frameworks, in the case where all the edges are struts. Struts are allowed to increase orto fix, but not to decrease, their length.
CitationConnelly, Robert. "Rigid Circle and Sphere Packings. Part I: Finite Packings". Structural Topology, 1988, núm. 14 
URIhttp://hdl.handle.net/2099/1044
ISSN0226-9171
0226-9171
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  • Structural topology - 1988 núm 14 [8]
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