The number of transversals to line segments in R^3 Institutional Repository Document

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.

authors

• Sottile, Frank

author list (cited authors)

• Brnnimann, H., Everett, H., Lazard, S., Sottile, F., & Whitesides, S.

complete list of authors

• Brönnimann, Hervé||Everett, Hazel||Lazard, Sylvain||Sottile, Frank||Whitesides, Sue

Book Title

• arXiv

publication date

• June 2003

keywords

• Cs.cg
• Math.mg

Digital Object Identifier (DOI)

• 10.48550/arxiv.math/0306401