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Reports (Research Report) Year : 2003

Transversals to Line Segments in R^3

Sylvain Lazard
Frank Sottile
  • Function : Author
Sue Whitesides
  • Function : Author


We completely describe the structure of the connected components of transversals to a collection of n line segments in R^3. We show that n3 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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Dates and versions

inria-00071719 , version 1 (23-05-2006)


  • HAL Id : inria-00071719 , version 1


Hervé Brönnimann, Hazel Everett, Sylvain Lazard, Frank Sottile, Sue Whitesides. Transversals to Line Segments in R^3. [Research Report] RR-4864, INRIA. 2003. ⟨inria-00071719⟩
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