The number of transversals to line segments in R^3

Details The number of transversals to line segments in R^3 The number of transversals to line segments in R^3

2003-06-27

arxiv.org/abs/math/0306401v1

Discrete and Computational Geometry, Volume 34, Number 3, (2005), 381--390.

Mathematics

Metric Geometry

9 pages, 7.eps pictures in color, abstract to apper in CCCG03

Scientific paper

We completely describe the structure of the connected components of
transversals to a collection of n line segments in R^3. We show that n>2
arbitrary line segments in R^3 admit 0, 1, ..., n or infinitely many line
transversals. In the latter case, the transversals form up to n connected
components.

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