On a space-filling polyhedron of Aste et al.

被引：4

作者：

OKeeffe, M

机构：

[1] Department of Chemistry, Arizona State University, Tempe, AZ

来源：

PHILOSOPHICAL MAGAZINE LETTERS | 1997年 / 76卷 / 06期

关键词：

D O I：

10.1080/095008397178850

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A 16-face polyhedron described by Aste, Boost and Rivier (1996 Phys. Rev. E, 53), is shown to fill space with four polyhedra meeting at each vertex and three meeting at each edge. Coordinates of the vertices in the resulting periodic structure are given for the conformation with equal edges and maximum volume.

引用

收藏

页码：423 / 426

页数：4

相关论文

共 10 条

[1] From one cell to the whole froth: A dynamical map [J].

Aste, T ;

Boose, D ;

Rivier, N .

PHYSICAL REVIEW E, 1996, 53 (06) :6181-6191

[2]

MARVIN JW, 1939, SCIENCE, V83, P188

[3]

OKEEFE M, 1996, CRYSTAL STRUCTURES, V1

[4] Coordination sequences for lattices [J].

OKeeffe, M .

ZEITSCHRIFT FUR KRISTALLOGRAPHIE, 1995, 210 (12) :905-908

[5] BOND-VALENCE PARAMETERS FOR ANION ANION BONDS IN SOLIDS [J].

OKEEFFE, M ;

BRESE, NE .

ACTA CRYSTALLOGRAPHICA SECTION B-STRUCTURAL SCIENCE, 1992, 48 :152-154

[6] DENSE AND RARE 4-CONNECTED NETS [J].

OKEEFFE, M .

ZEITSCHRIFT FUR KRISTALLOGRAPHIE, 1991, 196 (1-4) :21-37

[7] THE MOST POPULOUS OF ALL CRYSTAL-STRUCTURE TYPES - THE TETRAGONAL BAAL4 STRUCTURE [J].

PEARSON, WB .

JOURNAL OF SOLID STATE CHEMISTRY, 1985, 56 (03) :278-287

[8] THE STRUCTURE OF MONODISPERSE FOAM [J].

WEAIRE, D ;

PHELAN, R .

PHILOSOPHICAL MAGAZINE LETTERS, 1994, 70 (05) :345-350

[9]

Weaire D., 1997, KELVIN PROBLEM

[10] SPACE-FILLING POLYHEDRON - ITS RELATION TO AGGREGATES OF SOAP BUBBLES PLANT CELLS AND METAL CRYSTALLITES [J].

WILLIAMS, RE .

SCIENCE, 1968, 161 (3838) :276-&