Transversals to line segments in R3

We completely describe the structure of the connected components of transversals to a collection of n arbitrary line segments in R3 . We show that n 3 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.

• Type: Conference
• Year: 2003
• Where: CCCG
• Authors: Hervé Brönnimann, Hazel Everett, Sylvain Lazard, Frank Sottile, Sue Whitesides
• Keywords: Arbitrary Line Segments, CCCG 2003, CCCG 2007, Connected Components, Line Segments