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Transversals to Line Segments in R^3

Abstract : 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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https://hal.inria.fr/inria-00071719
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Submitted on : Tuesday, May 23, 2006 - 6:36:10 PM
Last modification on : Friday, February 4, 2022 - 3:30:40 AM
Long-term archiving on: : Sunday, April 4, 2010 - 10:34:56 PM

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  • HAL Id : inria-00071719, version 1

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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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