期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
Translational and Rotational Lattice Prototiles on a Lattice
摘要/Abstract
摘要：
首先介绍了格阵中可平移铺砌元（Translational Lattice Prototile简记为TLP）和可旋转铺砌元（Rotational Lattice Prototile简记为RLP）的概念；然后通过对平行四边形各边最近点的研究，由保持格阵不变的仿射变换得到了所有平行四边形的TLP；给出无水平和竖直边的格点三角形是RLP的充分必要条件为其生成四边形无新格点，而且是TLP.
Abstract：
Two definitions are given: translational lattice prototiles(TLP) and rotational lattice pro-totiles(RLP). Then the nearest point of each side of the parallelogram are discussed. By lattice-preserving affine transformations, all parallelogram TLP are obtained, and give the result that a lattice triangle without horizontal or vertical sides to be an RLP if and only if its generating parallelogram.have not new points and is a TLP.