Lines Pinning Lines
Identifieur interne : 003058 ( Main/Exploration ); précédent : 003057; suivant : 003059Lines Pinning Lines
Auteurs : Boris Aronov [États-Unis] ; Otfried Cheong [Corée du Sud, États-Unis] ; Xavier Goaoc [France] ; Günter Rote [Allemagne]Source :
- Discrete & Computational Geometry [ 0179-5376 ] ; 2011-03-01.
English descriptors
Abstract
Abstract: A line ℓ is a transversal to a family F of convex polytopes in ℝ3 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 ℝ3 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:
DOI: 10.1007/s00454-010-9288-6
Affiliations:
- Allemagne, Corée du Sud, France, États-Unis
- Berlin, Grand Est, Lorraine (région), État de New York
- Berlin, Nancy
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Le document en format XML
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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 ℝ3 such that no face of a polytope is coplanar with the line has size at most eight. 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