Transversals to Line Segments in Three-Dimensional Space

@article{Brnnimann2005TransversalsTL,
  title={Transversals to Line Segments in Three-Dimensional Space},
  author={Herv{\'e} Br{\"o}nnimann and Hazel Everett and Sylvain Lazard and Frank Sottile and Sue Whitesides},
  journal={Discrete & Computational Geometry},
  year={2005},
  volume={34},
  pages={381-390}
}
We completely describe the structure of the connected comp onents of transversals to a collection ofn line segments inR. We show that n > 3 arbitrary line segments in R 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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