Tiling space by platonic solids, I

被引：29

作者：

Friedrichs, OD ^{[1
]}

Huson, DH ^{[1
]}

机构：

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

来源：

DISCRETE & COMPUTATIONAL GEOMETRY | 1999年 / 21卷 / 02期

关键词：

D O I：

10.1007/PL00009423

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

There exist precisely 914, 58, and 46 equivariant types of tile-transitive tilings of three-dimensional euclidean space by topological cubes, octahedra, and tetrahedra, that fall into 11, 3, and 9 topological families, respectively. Representatives are described for all topological families. A general method for obtaining results of this kind is introduced.

引用

页码：299 / 315

页数：17

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