Geodesic
Combinatorial Properties of Associated Zonotopes
Canadian journal of mathematics, Tome 26 (1974) no. 2, pp. 302-321

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

Let S 1 . . . ,Sr be r line segments, each of non-zero length, in n-dimensional euclidean space Rn . If a polytope Z is defined as the vector (Minkowski) sum(1) Z = S 1 + . . . + Sr ,then the segments Si will be called the components of Z. Since we do not wish to exclude the possibility that some of the components may be parallel, the polytope Z may be written in the form (1) in many different ways. For this reason it is convenient to define a zonotope to be the polytope Z together with some specified set of components {S1 , . . . , Sr }. Figures 1, 2 and 3 show some zonotopes of 1, 2 and 3 dimensions with 4, 5 and 6 components. 
Shephard, G. C. Combinatorial Properties of Associated Zonotopes. Canadian journal of mathematics, Tome 26 (1974) no. 2, pp. 302-321. doi: 10.4153/CJM-1974-032-5
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