Abstract
The rigidity theorems of Alexandrov (1950) and Stoker (1968) are classical results in the theory of convex polyhedra. We prove analogues of them for ball-polyhedra, which are intersections of finitely many congruent balls in Euclidean 3-space.
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Bezdek, K. (2013). Globally Rigid Ball-Polyhedra in Euclidean 3-Space. In: Gavrilova, M.L., Tan, C.J.K., Kalantari, B. (eds) Transactions on Computational Science XX. Lecture Notes in Computer Science, vol 8110. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-41905-8_10
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DOI: https://doi.org/10.1007/978-3-642-41905-8_10
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-41904-1
Online ISBN: 978-3-642-41905-8
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