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Extending a flexible unit-bar framework to a rigid one

✍ Scribed by Hiroshi Maehara


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
494 KB
Volume
108
Category
Article
ISSN
0012-365X

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✦ Synopsis


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 that a previous result on a framework in R* [for any real algebraic number r > 0, there is a rigid unit-bar framework in R* having two vertices with distance r apart] extends to any dimension.


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