Lines Pinning Lines

نویسندگان

  • Boris Aronov
  • Otfried Cheong
  • Xavier Goaoc
  • Günter Rote
چکیده

A line ` is a transversal to a family F of convex polytopes in R if it intersects every member of F . If, in addition, ` is an isolated point of the space of line transversals to F , we say that F is a pinning of `. We show that any minimal pinning of a line by polytopes in R 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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عنوان ژورنال:
  • Discrete & Computational Geometry

دوره 45  شماره 

صفحات  -

تاریخ انتشار 2011