The set of nondegenerate flexible polyhedra of a prescribed combinatorial structure is not always algebraic

DOI10.1134/S0037446615040011zbMath1327.52037arXiv1508.03960MaRDI QIDQ748465

Victor Alexandrov

Publication date: 29 October 2015

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.03960

zbMATH Keywords

algebraic setdihedral angleflexible polyhedronbricard octahedron

Mathematics Subject Classification ID

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

Cites Work

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• The Dehn invariants of the Bricard octahedra
• Zur Einzigkeit der Bricardschen Oktaeder. (Uniqueness of the Bricard octahedra)
• Description of the combinatorial structure of algorithmically 1-parametric polyhedra of spherical type
• Sabitov polynomials for volumes of polyhedra in four dimensions
• Octaedres articules de Bricard
• Algebraic methods for solution of polyhedra
• Convex Polyhedra

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