HIGHER-ORDER RIGIDITY - WHAT IS THE PROPER DEFINITION

被引：46

作者：

CONNELLY, R ^{[1
]}

SERVATIUS, H ^{[1
]}

机构：

[1] MIT, DIV APPL MATH, CAMBRIDGE, MA 02139 USA

来源：

DISCRETE & COMPUTATIONAL GEOMETRY | 1994年 / 11卷 / 02期

关键词：

D O I：

10.1007/BF02574003

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We show that there is a bar-and-joint framework G(p) which has a configuration p in the plane such that the component of p in the space of all planar configurations of G has a cusp at p. At the cusp point, the mechanism G(p) turns out to be third-order rigid in the sense that every third-order flex must have a trivial first-order component. The existence of a third-order rigid framework that is not rigid calls into question the whole notion of higher-order rigidity.

引用

页码：193 / 200

页数：8

共 11 条

[1] RIGIDITY OF GRAPHS .2. [J].