The Cell Structures of Certain Lattices*
نویسندگان
چکیده
The most important lattices in Euclidean space of dimension n ≤ 8 are the lattices A n (n ≥ 2 ), D n (n ≥ 4 ), E n (n = 6 , 7 , 8 ) and their duals. In this paper we determine the cell structures of all these lattices and their Voronoi and Delaunay polytopes in a uniform manner. The results for E6 ∗ and E7 ∗ simplify recent work of Worley, and also provide what may be new space-filling polytopes in dimensions 6 and 7.
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تاریخ انتشار 1991