Geodesic
Metrics in Three-Dimensional Lattices
Journal for geometry and graphics, Tome 12 (2008) no. 2, pp. 133-14.

Voir la notice de l'article provenant de la source Heldermann Verlag

We find formulas for metrics on three-dimensional point lattices which count the number of steps required connect a given lattice point to the origin. Such formulas are previously known for the simple cubic lattice and the face-centered cubic lattice. We provide analogous formulas for the simple hexagonal lattice and the body-centered cubic lattice.
Classification : 52C07
Mots-clés : Point lattices, metrics 
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     title = {Metrics in {Three-Dimensional} {Lattices}},
     journal = {Journal for geometry and graphics},
     pages = {133--14},
     publisher = {mathdoc},
     volume = {12},
     number = {2},
     year = {2008},
     url = {http://geodesic.mathdoc.fr/item/JGG_2008_12_2_JGG_2008_12_2_a1/}
}
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C. Mann; B. McCarty; J. McLoud-Mann; R. Ranalli; N. Smith . Metrics in Three-Dimensional Lattices. Journal for geometry and graphics, Tome 12 (2008) no. 2, pp. 133-14. http://geodesic.mathdoc.fr/item/JGG_2008_12_2_JGG_2008_12_2_a1/