Lines tagent to four unit spheres with coplanar centres

Megyesi, Gabor (2001) Lines tagent to four unit spheres with coplanar centres. Discrete and Computational Geometry, 26 (4). pp. 493-497. ISSN 1432-0444

PDF Lines_tagent.pdf Restricted to Repository staff only Download (45kB)

Abstract

We prove that there are at most eight lines tangent to four unit spheres in \R3 if the centres of the spheres are coplanar, but not collinear. This bound is sharp.

Item Type:	Article
Subjects:	MSC 2010, the AMS's Mathematics Subject Classification > 51 Geometry (See also algebraic geometry) MSC 2010, the AMS's Mathematics Subject Classification > 53 Differential geometry
Depositing User:	Ms Lucy van Russelt
Date Deposited:	17 Aug 2006
Last Modified:	20 Oct 2017 14:12
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/540

Actions (login required)

View Item