InforLorV4, Hal, Corpus, bibRecord, 005500

Lines Pinning Lines

Identifieur interne : 005500 ( Hal/Corpus ); précédent : 005499; suivant : 005501

Lines Pinning Lines

Auteurs : Boris Aronov ; Otfried Cheong ; Xavier Goaoc ; Rote Günter

Source :

Discrete and Computational Geometry [ 0179-5376 ] ; 2011.

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.

Url:

https://hal.inria.fr/inria-00518028

Links to Exploration step

Hal:inria-00518028

Le document en format XML

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Lines Pinning Lines

Lines Pinning Lines

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