THE CLASSIFICATION OF FACE-TRANSITIVE PERIODIC 3-DIMENSIONAL TILINGS

被引：34

作者：

DRESS, AWM

HUSON, DH

MOLNAR, E

机构：

[1] UNIV BIELEFELD,FAK MATH,W-4800 BIELEFELD 1,GERMANY

[2] TECH UNIV BUDAPEST,DEPT GEOMETRY,H-1521 BUDAPEST,HUNGARY

来源：

ACTA CRYSTALLOGRAPHICA SECTION A | 1993年 / 49卷

关键词：

D O I：

10.1107/S010876739300354X

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

It has long been known that there exists an infinite number of types of tile-transitive periodic three-dimensional tilings. Here, it is shown that, by contrast, the number of types of face-transitive periodic three-dimensional tilings is finite. The method of Delaney symbols and the properties of the 219 isomorphism classes of crystallographic space groups are used to find exactly 88 equivariant types that fall into seven topological families.

引用

页码：806 / 817

页数：12

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