Isohedral simple tilings:: binodal and by tiles with ≤16 faces

被引：35

作者：

Delgado-Friedrichs, O ^{[1
]}

O'Keeffe, M ^{[1
]}

机构：

[1] Arizona State Univ, Dept Chem, Tempe, AZ 85287 USA

来源：

ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES | 2005年 / 61卷

关键词：

D O I：

10.1107/S0108767305009578

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

All isohedral simple tilings of 3D Euclidian space by tiles with <= 16 faces have been determined. There are no such tilings by polyhedra with less than 14 faces. For simple polyhedra with 14, 15 and 16 faces, there are respectively 10, 65 and 434 that fill space and a total of 23, 136 and 710 distinct tilings. The tilings by 14-face polyhedra are described in detail as are binodal ( vertex 2-transitive) isohedral simple tilings.

引用

页码：358 / 362

页数：5

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