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Journal Articles Discrete and Computational Geometry Year : 2011

Lines Pinning Lines

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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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Dates and versions

inria-00518028 , version 1 (16-09-2010)


  • HAL Id : inria-00518028 , version 1


Boris Aronov, Otfried Cheong, Xavier Goaoc, Rote Günter. Lines Pinning Lines. Discrete and Computational Geometry, 2011. ⟨inria-00518028⟩
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