Rigidity of ball-polyhedra in Euclidean 3-space

Authors:
Károly Bezdek;Márton Naszódi
Affiliations:
Department of Mathematics and Statistics, University of Calgary, Calgary, AB, Canada;Department of Mathematics and Statistics, University of Calgary, Calgary, AB, Canada
Venue:
European Journal of Combinatorics
Year:
2006

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Abstract

In this paper we introduce ball-polyhedra as finite intersections of congruent balls in Euclidean 3-space. We define their duals and study their face-lattices. Our main result is an analogue of Cauchy's rigidity theorem.