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Conference Papers Year : 2003

Transversals to Line Segments in R3


We completely describe the structure of the connected components of transversals to a collection of $n$ line segments in $\mathbb{R}^3$. We show that $n\geq 3$ arbitrary line segments in $\mathbb{R}^3$ admit $0, 1, \ldots, n$ or infinitely many line transversals. In the latter case, the transversals form up to $n$ connected components.
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inria-00099479 , version 1 (15-12-2009)


  • HAL Id : inria-00099479 , version 1


Hervé Bronnimann, Hazel Everett, Sylvain Lazard, Frank Sottile, Sue Whitesides. Transversals to Line Segments in R3. 15th Canadian Conference on Computational Geometry - CCCG'2003, 2003, Halifax, Canada, 4 p. ⟨inria-00099479⟩
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