The number of transversals to line segments in R3
Hervé Brönnimann, Hazel Everett, Sylvain Lazard, Frank Sottile, Sue Whitesides
Abstract
We completely describe the structure of the connected components of transversals to a collection of n line segments in R3. We show that n>2 arbitrary line segments in R3 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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