Equivelar polyhedral manifolds in \(E^ 3\).

DOI10.1007/BF02760539zbMath0497.52004OpenAlexW1974252254MaRDI QIDQ1170776

S. Singh

Publication date: 1982

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02760539

zbMATH Keywords

polyhedral modelsregular polyhedraregular tessellationequivelar polyhedral surfaces

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Polytopes and polyhedra (52Bxx)

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Cites Work

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• Polyhedral 2-manifolds in \(E^ 3\) with unusually large genus
• A combinatorial condition for the existence of polyhedral 2-manifolds
• Hamilton-Flächen auf Prismen
• Nonconvex vertices of polyhedral 2-manifolds
• Facets and nonfacets of convex polytopes
• Hamiltonian circuits in some maps on the torus
• Polyhedral realization in \(R^ 3\) of triangulations of the torus and 2- manifolds in cyclic 4-polytopes
• Pseudopolyhedrons
• Combinatorially regular polytopes
• Regular Skew Polyhedra in Three and Four Dimension, and their Topological Analogues

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