Truncations of simple polytopes and applications

DOI10.1134/S0081543815040070zbMath1351.51019OpenAlexW2274050586MaRDI QIDQ281002

Nikolai Erokhovets, Victor M. Buchstaber

Publication date: 10 May 2016

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543815040070

zbMATH Keywords

polytopestruncations

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Möbius geometries (51B10)

Related Items (12)

LS-category of moment-angle manifolds and higher order Massey products ⋮ Construction of fullerenes and Pogorelov polytopes with 5-, 6- and one 7-gonal face ⋮ The flag polynomial of the Minkowski sum of simplices ⋮ Mould calculus, polyhedral cones, and characters of combinatorial Hopf algebras. ⋮ About the partitions of a truncated icosahedron for parquet-hedra ⋮ Cohomological rigidity of manifolds defined by 3-dimensional polytopes ⋮ The Moscow Mathematical Society and metric geometry: from Peterson to contemporary research ⋮ Theory of families of polytopes: fullerenes and Pogorelov polytopes ⋮ Three-dimensional right-angled polytopes of finite volume in the Lobachevsky space: combinatorics and constructions ⋮ Constructions of families of three-dimensional polytopes, characteristic patches of fullerenes, and Pogorelov polytopes ⋮ Cohomological rigidity of families of manifolds associated with ideal right-angled hyperbolic 3-polytopes ⋮ Toric objects associated with the dodecahedron

Cites Work

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• Gal's conjecture for nestohedra corresponding to complete bipartite graphs
• Fullerenes and disk-fullerenes
• Convex Polytopes
• Combinatorial 2-truncated Cubes and Applications
• Combinatorics of flag simplicial 3-polytopes

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