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14.382 Articles in journals published by the UPC
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Spherical Circle-Coverings and Geodesics Domes

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Tarnai, Tibor
Wenninger, Magnus J.
Document typeArticle
Defense date1990
PublisherUniversité 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
Cet article constitue une recherche des méthodes de construction de polyèdres <( droits )) et (( gauches )) inscrits dans une sphère, bornés par des pentagones et des hexagones, avec un nombre minimal de types defaces et de longueurs d’arêtes. On y examine aussi la construction de dômes géodésiques par voie de recouvrement de la sphère à I’aide de cercles égaux et inégaux, respectivement. Des modèles polyédriques des recouvrements de la sphère par des cercles illustrent les résultats.
 
This paper investigates how to construct “straight” and “skew” polyhedra inscribed into a sphere, bounded by pentagons and hexagons, with minimum numbers offacetypesand edgeengths. It also examines how to construct geodesic domes by means of covering thesphere with equaland non-equal circles, respectively. The results are illustrated by polyhedron models of the spherical circle-coverings.
CitationTarnai, Tibor; Wenninger, Magnus J.. "Spherical Circle-Coverings and Geodesics Domes". Structural Topology, 1990, núm. 16 
URIhttp://hdl.handle.net/2099/1054
ISSN0226-9171
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