Transversals to Line Segments in Three-Dimensional Space
Written with H. Everett, S. Lazard, F. Sottile, and S. Whitesides.
-
Journal version (submitted).
-
Version appeared at CCCG'03.
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.
Related publications
- On the number
of lines tangent to four polyhedra, with Olivier Devillers,
Vida Dujmovic, Hazel Everett, Marc Glisse, Xavier Goaoc, Sylvain Lazard,
Hyong-Suk Na, and Sue Whitesides. CCCG'02.
- On the number of lines tangent to
arbitrary polytopes in R3,
with O. Devillers, V. Dujmovic, H. Everett, M. Glisse, X. Goaoc, S.
Lazard, H.-S. Na, and S. Whitesides. SoCG'04.
- On the number
of lines tangent to four polyhedra, with Olivier Devillers,
Sylvain Lazard, Frank Sottile, and Sue Whitesides. CCCG'04.
Copyright © 2002, Hervé Brönnimann, hbr@poly.edu