Transversals to Line Segments in Three-Dimensional Space

Authors

H Bronnimann
H Everett
S. Lazard
Frank Sottile, University of Massachusetts - AmherstFollow
S. Whitesides

Publication Date

2003

Journal or Book Title

Discrete and Computational Geometry

Abstract

We completely describe the structure of the connected components of transversals to a collection of n line segments in R3. We show that n > 3 arbitrary line segments in R3 admit 0, 1, . . . , n or infinitely many line transversals. In the latter case, the transversals form up to n connected components.

Comments

This is a pre-published version harvested from ArXiv.org. The published version can be found at http://www.springerlink.com/content/l740870l27122231/

Pages

381-390

Volume

34

Issue

3

Recommended Citation

Bronnimann, H; Everett, H; Lazard, S.; Sottile, Frank; and Whitesides, S., "Transversals to Line Segments in Three-Dimensional Space" (2003). Discrete and Computational Geometry. 133.
Retrieved from https://scholarworks.umass.edu/math_faculty_pubs/133