Geodesic
Lattice packing and covering of convex bodies
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Classical and modern mathematics in the wake of Boris Nikolaevich Delone, Tome 275 (2011), pp. 240-249

Voir la notice de l'article provenant de la source Math-Net.Ru

The aim of this article is twofold. First, to indicate briefly major problems and developments dealing with lattice packings and coverings of balls and convex bodies. Second, to survey more recent results on uniqueness of lattice packings and coverings of extreme density, on characterization of local minima and maxima of the density and on estimates of the kissing number. Emphasis is on results in general dimensions. 
@article{TM_2011_275_a15,
     author = {Peter M. Gruber},
     title = {Lattice packing and covering of convex bodies},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {240--249},
     publisher = {mathdoc},
     volume = {275},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM_2011_275_a15/}
}
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Peter M. Gruber. Lattice packing and covering of convex bodies. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Classical and modern mathematics in the wake of Boris Nikolaevich Delone, Tome 275 (2011), pp. 240-249. http://geodesic.mathdoc.fr/item/TM_2011_275_a15/