Rigidity and flexibility of virtual polytopes

• Autorzy: G. Panina
• Języki publikacji: EN

Abstrakty

EN

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

Słowa kluczowe

EN

Virtual polytope; rigidity; flexion; Bricard's octahedron; MSC (2000); 52C25

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2003
• Tom: 1
• Numer: 2
• Strony: 157-168

Daty

wydano

2003-06-01

online

2003-06-01

Twórcy

autor

G. Panina

• Institute for Informatics and Automation

Bibliografia

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Identyfikatory

DOI

10.2478/BF02476005