Geodesic
Infinite Faces of a Perfect Voronoi Polyhedron
Matematičeskie zametki, Tome 75 (2004) no. 2, pp. 261-268

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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). 
@article{MZM_2004_75_2_a8,
     author = {S. S. Ryshkov},
     title = {Infinite {Faces} of a {Perfect} {Voronoi} {Polyhedron}},
     journal = {Matemati\v{c}eskie zametki},
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     number = {2},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2004_75_2_a8/}
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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/