Geodesic
Partitioning of Euclidean spaces into $L$-polytopes of some perfect lattices
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Discrete geometry and topology, Tome 196 (1991), pp. 27-46.

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@article{TM_1991_196_a2,
     author = {E. P. Baranovskii},
     title = {Partitioning of {Euclidean} spaces into $L$-polytopes of some perfect lattices},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {27--46},
     publisher = {mathdoc},
     volume = {196},
     year = {1991},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_1991_196_a2/}
}
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E. P. Baranovskii. Partitioning of Euclidean spaces into $L$-polytopes of some perfect lattices. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Discrete geometry and topology, Tome 196 (1991), pp. 27-46. http://geodesic.mathdoc.fr/item/TM_1991_196_a2/