Recognition of flat orbifolds and the classification of tilings in R3

被引：10

作者：

Delgado-Friedrichs, O ^{[1
]}

机构：

[1] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany

来源：

DISCRETE & COMPUTATIONAL GEOMETRY | 2001年 / 26卷 / 04期

关键词：

D O I：

10.1007/s00454-001-0022-2

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We discuss criteria for an orbifold to carry a flat geometry, i.e., one which is modelled on euclidean geometry, and show how these: lead to a practical flatness test in the three-dimensional case. This has immediate applications in combinatorial tiling theory, namely in the classification of three-dimensional periodic tilings up to equivariant equivalence, and in the material sciences.

引用

页码：549 / 571

页数：23

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