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Matematicheskie Zametki, 2004, Volume 75, Issue 2, Pages 261–268
DOI: https://doi.org/10.4213/mzm32 (Mi mzm32) 		 
Infinite Faces of a Perfect Voronoi Polyhedron

S. S. Ryshkov

Steklov Mathematical Institute, Russian Academy of Sciences
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DOI: https://doi.org/10.4213/mzm32
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).
Received: 28.05.2002
English version:
Mathematical Notes, 2004, Volume 75, Issue 2, Pages 236–242
DOI: https://doi.org/10.1023/B:MATN.0000015039.90188.61
Bibliographic databases:
UDC: 514.17
Language: Russian
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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