On the existence of two affine-equivalent frameworks with prescribed edge lengths in Euclidean \(d \)-space

DOI10.1134/s0037446623060022arXiv2306.13859MaRDI QIDQ6179761

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Publication date: 18 December 2023

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

Full work available at URL: https://arxiv.org/abs/2306.13859

zbMATH Keywords

graphsubstitution tilingsCayley-Menger determinantbar-and-joint frameworkCauchy rigidity theoremaffine-equivalent frameworksEuclidean \(d \)-space

Mathematics Subject Classification ID

General theory of distance geometry (51K05) Combinatorial complexity of geometric structures (52C45)

Cites Work

• Recognition of affine-equivalent polyhedra by their natural developments
• Model Theory
• Frameworks, Tensegrities, and Symmetry
• How to decide whether two convex octahedra are affinely equivalent using their natural developments only
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