Geodesic
An Enumeration of the Five Parallelohedra
Canadian mathematical bulletin, Tome 4 (1961) no. 1, pp. 45-47

Voir la notice de l'article provenant de la source Cambridge University Press

A parallelohedron is a convex polyhedron, in real affine three-dimensional space, which can be repeated by translation to fill the whole space without interstices. It has centrally symmetrical faces [4, p. 120] and hence is centrally symmetrical.Let Fi denote the number of faces each having exactly i edges, Vi denote the number of vertices each incident with exactly i edges, E denote the number of edges, n denote the number of sets of parallel edges, F denote the total number of faces, V denote the total number of vertices. 
Moser, William. An Enumeration of the Five Parallelohedra. Canadian mathematical bulletin, Tome 4 (1961) no. 1, pp. 45-47. doi: 10.4153/CMB-1961-007-7
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