一种离散菱形点阵的探索;可能的工程或物理相关性(修订版)
综合物理
2008-08-19 v1
摘要
本文描述了一种特定的离散菱形点阵,它由四个对称交织的立方八面体点阵构成,因其展现的高度对称性而引人关注。四个组成性的立方八面体点阵用四种颜色表示,复合点阵被称为四色菱形点阵。四色点阵的每个点都可以用一个仅包含正非零整数(计数数)的整数四元组来索引。本文解释了离散菱形点阵与离散笛卡尔点阵之间的关系。文中指出了该点阵及计数数四元组坐标系的一些有趣方面。
引用
@article{arxiv.0808.2242,
title = {An Exploration of a Discrete Rhombohedral Lattice; of Possible Engineering or Physical Relevance (Revised Version)},
author = {Jim McGovern},
journal= {arXiv preprint arXiv:0808.2242},
year = {2008}
}
备注
Revised (as presented) version of a paper included in the electronic proceedings of the International Mathematica Symposium, Maastricht, The Netherlands, June 20-24th 2008, containing some significant changes