Bibliographic Details
| Title: |
Lines Pinning Lines. |
| Authors: |
Aronov, Boris1 aronov@poly.edu, Cheong, Otfried2 otfried@kaist.edu, Goaoc, Xavier3 goaoc@loria.fr, Rote, Günter4 rote@inf.fu-berlin.de |
| Source: |
Discrete & Computational Geometry. Mar2011, Vol. 45 Issue 2, p230-260. 31p. |
| Subjects: |
Convex polytopes, Line geometry, Polytopes, Orthogonal polynomials, Convex geometry |
| Abstract: |
line ℓ is a transversal to a family F of convex polytopes in ℝ 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 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. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
