Metrics in three-dimensional lattices

Authors

C. Mann, University of Texas at Tyler
B. McCarty, University of Texas at Tyler
J. McLoud-Mann, University of Texas at Tyler
R. Ranalli, University of Texas at Tyler
N. Smith, University of Texas at Tyler

Abstract

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

Recommended Citation

Mann, C., McCarty, B., McLoud-Mann, J., Ranalli, R., & Smith, N. (2008). Metrics in three-dimensional lattices. Journal for Geometry and Graphics, 12 (2), 133-140. Retrieved from https://digitalcommons.memphis.edu/facpubs/5112