Lines Pinning Lines
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.
- Publisher
- SPRINGER
- Issue Date
- 2011-03
- Language
- English
- Article Type
- Article
- Keywords
HELLY-TYPE; TRANSVERSALS; THEOREMS; BALLS
- Citation
DISCRETE COMPUTATIONAL GEOMETRY, v.45, no.2, pp.230 - 260
- ISSN
- 0179-5376
- Appears in Collection
- CS-Journal Papers(저널논문)
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