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On the Generic Rigidity of Bar-Frameworks

โœ Scribed by Tiong-Seng Tay

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
121 KB
Volume
23
Category
Article
ISSN
0196-8858

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โœฆ Synopsis

In this paper we prove the equivalence of some conjectures on the generic rigidity bar frameworks in 3-space.

๐Ÿ“œ SIMILAR VOLUMES

Extending a flexible unit-bar framework
Extending a flexible unit-bar framework to a rigid one
โœ Hiroshi Maehara ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 494 KB

We prove that (1) a flexible unit-bar framework G in R" can always be extended to a rigid unit-bar framework in R", and (2) G is 'congruent' to a subgraph of a rigid unit-bar framework in R" if and only if the Euclidean distances between joints of G are all algebraic numbers. Meanwhile, it is proved