Metrics in Three-Dimensional Lattices

被引：0
|
作者：
Mann, C. [1 ]
McCarty, B. [1 ]
McLoud-Mann, J. [1 ]
Ranalli, R. [1 ]
Smith, N. [1 ]
机构：
[1] Univ Texas Tyler, 3900 Univ Blvd, Tyler, TX 75799 USA
来源：
JOURNAL FOR GEOMETRY AND GRAPHICS | 2008年 / 12卷 / 02期
关键词：
point lattices; metrics;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：133 / 140
页数：8
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