On flexible polyhedral surfaces

DOI10.1134/S0081543815010125zbMath1357.52021MaRDI QIDQ492216

Mikhail Shtogrin

Publication date: 20 August 2015

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

pyramidCauchy theoremquadranglepolyhedral surface

Mathematics Subject Classification ID

Rigidity and flexibility of structures (aspects of discrete geometry) (52C25)

Related Items (5)

Flexible polyhedra and their volumes ⋮ Volume polynomials for polyhedra combinatorially isometric to \(n\)-prisms in the cases \(n=5,6,7\) ⋮ The spectrum of the Laplacian in a domain bounded by a flexible polyhedron in \(\mathbb{R}^d\) does not always remain unaltered during the flex ⋮ The Moscow Mathematical Society and metric geometry: from Peterson to contemporary research ⋮ A sufficient condition for a polyhedron to be rigid

Cites Work

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• Bending of a piecewise developable surface
• The rigidity of certain cabled frameworks and the second-order rigidity of arbitrary triangulated convex surfaces
• A counterexample to the rigidity conjecture for polyhedra
• A new example of a flexible polyhedron
• Algebraic methods for solution of polyhedra
• An attack on rigidity. I, II
• Rigidity of zonohedra
• On rigidity of polyhedral spheres with even-angle faces
• Rigidity of a quadrillage of the pretzel
• Rigidity of a quadrillage of the torus
• A flexible disk with a handle

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