Symmetries of 3-polytopes with fixed edge length

DOI10.33048/semi.2020.17.110zbMath1454.52011arXiv1808.09495OpenAlexW3117571523MaRDI QIDQ2212701

Egor Aleksandrovich Morozov

Publication date: 24 November 2020

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.09495

zbMATH Keywords

isometrypolytopecircle patternedge-length preserving combinatorial symmetry

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Symmetry properties of polytopes (52B15)

Related Items (2)

Capturing polytopal symmetries by coloring the edge-graph ⋮ Recognition of affine-equivalent polyhedra by their natural developments

Cites Work

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• A unique representation of polyhedral types. Centering via Möbius transformations
• Some applications of the formula for the volume of an octahedron
• Automorphismen von polyedrischen Graphen
• A Variational Principle for Cyclic Polygons with Prescribed Edge Lengths
• Variational principles for circle patterns and Koebe’s theorem
• Proofs from THE BOOK

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