Ball-Polyhedra

Authors:
Karoly Bezdek;Zsolt Langi;Marton Naszodi;Peter Papez
Affiliations:
Department of Mathematics and Statistics, University of Calgary, 2500 University Drive NW, Calgary, Alberta, Canada T2N 1N4;Department of Mathematics and Statistics, University of Calgary, 2500 University Drive NW, Calgary, Alberta, Canada T2N 1N4;Department of Mathematics and Statistics, University of Calgary, 2500 University Drive NW, Calgary, Alberta, Canada T2N 1N4;Department of Mathematics and Statistics, University of Calgary, 2500 University Drive NW, Calgary, Alberta, Canada T2N 1N4
Venue:
Discrete & Computational Geometry
Year:
2007

Citing 0
Cited 3

From the Kneser-Poulsen conjecture to ball-polyhedra

European Journal of Combinatorics
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The 2-center problem in three dimensions

Proceedings of the twenty-sixth annual symposium on Computational geometry

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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.