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Rigidity and flexibility of virtual polytopes

โœ Scribed by G. Panina


Book ID
111487708
Publisher
SP Versita
Year
2003
Tongue
English
Weight
408 KB
Volume
1
Category
Article
ISSN
1895-1074

No coin nor oath required. For personal study only.

โœฆ Synopsis


All 3-dimensional convex polytopes are known to be rigid. Still their Minkowski diยฌerences (virtual polytopes) can be ยฎexible with any nite freedom degree. We derive some suยฏcient rigidity conditions for virtual polytopes and present some examples of ยฎexible ones. For example, Bricard's rst and second ยฎexible octahedra can be supplied by the structure of a virtual polytope.


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