The number of transversals to line segments in R^3
Hervé Brönnimann, Hazel Everett, Sylvain Lazard, Frank Sottile, Sue H. Whitesides · arXiv (Cornell University) · 2003
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.