Algorithmic solution of the problem of isometric realization for two-dimensional polyhedral metrics

DOI10.1070/IM2002v066n02ABEH000382zbMath1076.51513OpenAlexW2136678505MaRDI QIDQ4804399

Idzhad Kh. Sabitov

Publication date: 2002

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im2002v066n02abeh000382

zbMATH Keywords

volumetrianglealgorithmpolynomialcombinatorial structuredihedral anglesisometric realizationorientable polyhedron

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) (n)-dimensional polytopes (52B11) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25) Length, area and volume in real or complex geometry (51M25) Immersions in differential topology (57R42)

Related Items (6)

The Moscow Mathematical Society and metric geometry: from Peterson to contemporary research ⋮ The Dehn invariants of the Bricard octahedra ⋮ On a class of inflexible polyhedra ⋮ A method for solving the problem of isometric realization of developments ⋮ A sufficient condition for a polyhedron to be rigid ⋮ Rigidity and polynomial invariants of convex polytopes

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