The number of transversals to line segments in R^3
Metric Geometry
2010-03-29 v1 Computational Geometry
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 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.
Cite
@article{arxiv.math/0306401,
title = {The number of transversals to line segments in R^3},
author = {Hervé Brönnimann and Hazel Everett and Sylvain Lazard and Frank Sottile and Sue Whitesides},
journal= {arXiv preprint arXiv:math/0306401},
year = {2010}
}
Comments
9 pages, 7.eps pictures in color, abstract to apper in CCCG03