Polytopes with Centrally Symmetric Faces
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 1206-1213

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

If a convex polytope P is centrally symmetric, and has the property that all its faces (of every dimension) are centrally symmetric, then P is called a zonotope. Zonotopes have many interesting properties which have been investigated by Coxeter and other authors (see (4, §2.8 and §13.8) and (5) which contains a useful bibliography). In particular, it is known (5, §3) that a zonotope is completely characterized by the fact that all its two-dimensional faces are centrally symmetric.
Shephard, G. C. Polytopes with Centrally Symmetric Faces. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 1206-1213. doi: 10.4153/CJM-1967-109-3
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