Infinitesimally Flexible Skeleta of Cross-Polytopes and Second-Hypersimplices

被引：0
|
作者：
Borcea, Ciprian S. [1 ]
机构：
[1] Rider Univ, Dept Math, Lawrenceville, NJ 08648 USA
来源：
JOURNAL FOR GEOMETRY AND GRAPHICS | 2008年 / 12卷 / 01期
关键词：
linkage; rigidity; infinitesimal flexibility; cross-polytope; second-hypersimplex;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the infinitesimal flexibility of frameworks is R-d with graphs corresponding to the 1-skeleton of a cross-polytope, respectively second-hypersimplex, of dimension d. Both represent generalizations of the classical case of the octahedron: the former in the regular sense, resulting in 'overbraced' linkages for d >= 4, and the latter in the sense of minimally rigid graphs.
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页码：1 / 10
页数：10
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