Ball-Polyhedra
Metric Geometry
2011-10-20 v1
Abstract
We study two notions. One is that of spindle convexity. A set of circumradius not greater than one is spindle convex if, for any pair of its points, it contains every short circular arc of radius at least one, connecting them. The other objects of study are bodies obtained as intersections of finitely many balls of the same radius, called ball-polyhedra. We find analogues of several results on convex polyhedral sets for ball-polyhedra.
Keywords
Cite
@article{arxiv.1110.4329,
title = {Ball-Polyhedra},
author = {Karoly Bezdek and Zsolt Langi and Marton Naszodi and Peter Papez},
journal= {arXiv preprint arXiv:1110.4329},
year = {2011}
}
Comments
30 pages, 8 figures