We prove Helly-type theorems for line transversals to disjoint unit balls in Rd . In particular, we show that a family of n 2d disjoint unit balls in Rd has a line transversal if,...
Otfried Cheong, Xavier Goaoc, Andreas Holmsen, Syl...
In this paper we study various predicates concerning line transversals to lines and segments in 3D. We compute the degrees of standard methods of evaluating these predicates. The ...
Hazel Everett, Sylvain Lazard, William J. Lenhart,...