MECHANISMS OF THE ICOSAHEDRAL COMPOUND OF TEN TETRAHEDRA

被引：0

作者：

S.D. Guest

机构：

来源：

Periodica Mathematica Hungarica | 2000年 / 39卷 / 1-3期

关键词：

Resultant Structure; Symmetry Operation; Regular Tetrahedron; Icosahedral Symmetry; Regular Dodecahedron;

D O I：

10.1023/A:1004863511981

中图分类号：

学科分类号：

摘要：

Ten regular tetrahedra can be arranged in such a way that their vertices are coincident with the vertices of a regular dodecahedron and that two tetrahedra meet at each vertex of the dodecahedron. If the resultant structure is considered as a bar-and-joint structure, there will be 60 bars, lying along the edges of the tetrahedra, and 20 joints at the vertices of the dodecahedra; six bars meet at each joint. Although the structure more than satisfies Maxwell's rule, it is known to admit finite mechanisms.

引用

页码：213 / 223

页数：10