Metrics in three-dimensional lattices


In this article 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. © 2008 Heldermann Verlag.

Publication Title

Journal for Geometry and Graphics

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