Quaquaversal tilings and rotations

被引：27

作者：

Conway, JH ^{[1
]}

Radin, C

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

[2] Univ Texas, Dept Math, Austin, TX 78712 USA

来源：

INVENTIONES MATHEMATICAE | 1998年 / 132卷 / 01期

关键词：

Euclidean Space; Dimensional Euclidean Space; Orthogonal Axis; Triangular Prism; Repeated Rotation;

D O I：

10.1007/s002220050221

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct a hierarchical tiling of 3 dimensional Euclidean space based on a triangular prism, using repeated rotations, about orthogonal axes, by angles 2 pi/m and 2 pi/n. To analyze the structure of the tiling we are led to determine the group G(m, n) generated by such a pair of rotations, for m = n = 3 and for m = 3, n = 4.

引用

页码：179 / 188

页数：10