How to decide whether two convex octahedra are affinely equivalent using their natural developments only

zbMath1497.52017arXiv2203.05305MaRDI QIDQ5098800

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Publication date: 31 August 2022

Full work available at URL: https://arxiv.org/abs/2203.05305

zbMATH Keywords

affine transformationoctahedronCayley-Menger determinantnatural developmentspatial shape of a polyhedron

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25)

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On the existence of two affine-equivalent frameworks with prescribed edge lengths in Euclidean \(d \)-space ⋮ Recognition of affine-equivalent polyhedra by their natural developments

Cites Work

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• Rigidity of certain polyhedra in \(\mathbf R^3\)
• Algebraic methods for solution of polyhedra
• A Menger Redux: Embedding Metric Spaces Isometrically in Euclidean Space