Geodesic
Infinite Faces of a Perfect Voronoi Polyhedron
Matematičeskie zametki, Tome 75 (2004) no. 2, pp. 261-268 
S. S. Ryshkov. Infinite Faces of a Perfect Voronoi Polyhedron. Matematičeskie zametki, Tome 75 (2004) no. 2, pp. 261-268. http://geodesic.mathdoc.fr/item/MZM_2004_75_2_a8/
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     author = {S. S. Ryshkov},
     title = {Infinite {Faces} of a {Perfect} {Voronoi} {Polyhedron}},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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).

[1] Ryshkov S. S., Baranovskii E. P., “Klassicheskie metody teorii reshetchatykh upakovok”, UMN, 34:4 (208) (1979), 3–63 | MR | Zbl

[2] Voronoi G. F., “Issledovaniya o primitivnykh paralelloedrakh”, Sobr. soch., 2, Izd-vo AN USSR, Kiev, 1952, 239–368; J. Reine Angew. Math., 134 (1908), 198–287 ; 136 (1909), 67–179 | Zbl