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Mat. Zametki, 2004, Volume 75, Issue 2, Pages 261–268 (Mi mz32)  

Infinite Faces of a Perfect Voronoi Polyhedron

S. S. Ryshkov

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: Infinite faces of perfect Voronoi polyhedra are studied. The result substantially varies depending on whether the perfect Voronoi polyhedron is considered as the closed or nonclosed convex hull of the set of Voronoi points (see Theorem 1 in Sec. 5 and Theorem 2 in Sec. 7).

DOI: https://doi.org/10.4213/mzm32

Full text: PDF file (183 kB)
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English version:
Mathematical Notes, 2004, 75:2, 236–242

Bibliographic databases:

UDC: 514.17
Received: 28.05.2002

Citation: S. S. Ryshkov, “Infinite Faces of a Perfect Voronoi Polyhedron”, Mat. Zametki, 75:2 (2004), 261–268; Math. Notes, 75:2 (2004), 236–242

Citation in format AMSBIB
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