Ball-Polyhedra

Details Ball-Polyhedra Ball-Polyhedra

2011-10-19

arxiv.org/abs/1110.4329v1

Discrete Comput. Geom. 38 (2007), no. 2, 201-230

Mathematics

Metric Geometry

30 pages, 8 figures

Scientific paper

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.

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