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Lines Pinning Lines

Identifieur interne : 002492 ( Main/Exploration ); précédent : 002491; suivant : 002493

Lines Pinning Lines

Auteurs : Boris Aronov [États-Unis] ; Otfried Cheong [Corée du Sud] ; Xavier Goaoc [France] ; Rote Günter

Source :

RBID : Hal:inria-00518028

Abstract

A line L is a transversal to a family F of convex polytopes in R^3 if it intersects every member of F. If, in addition, L is an isolated point of the space of line transversals to F, we say that F is a pinning of L. We show that any minimal pinning of a line by polytopes in R^3 such that no face of a polytope is coplanar with the line has size at most eight. If in addition the polytopes are pairwise disjoint, then it has size at most six.

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Affiliations:


Links toward previous steps (curation, corpus...)


Le document en format XML

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