The number of transversals to line segments in R^3
<|reference_start|>The number of transversals to line segments in R^3: We completely describe the structure of the connected components of transversals to a collection of n line segments in R^3. We show that n>2 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.<|reference_end|>
@article{brönnimann2003the,
    title={The number of transversals to line segments in R^3},
    author={Herv'e Br"onnimann, Hazel Everett, Sylvain Lazard, Frank Sottile,
  and Sue Whitesides},
    journal={Discrete and Computational Geometry, Volume 34, Number 3, (2005),
  381--390.},
    year={2003},
    archivePrefix={arXiv},
    eprint={math/0306401},
    primaryClass={math.MG cs.CG}
}