Classification of tight regular polyhedra

DOI10.1007/s10801-015-0649-3zbMath1366.52013arXiv1408.6703OpenAlexW3100794965MaRDI QIDQ289046

Daniel Pellicer, Gabe Cunningham

Publication date: 27 May 2016

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.6703

zbMATH Keywords

abstract regular polytopeflat polyhedronflat polytopetight polyhedrontight polytope

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Symmetry properties of polytopes (52B15) Polyhedral manifolds (52B70) Group actions on combinatorial structures (05E18)

Related Items (6)

Finite 3-orbit polyhedra in ordinary space. I ⋮ On regular polytopes of 2-power order ⋮ Tight chiral polyhedra ⋮ Tight chiral polytopes ⋮ Existence of regular 3-polytopes of order \(2^n\) ⋮ Vertex-faithful regular polyhedra

Uses Software

• GAP

Cites Work

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• The smallest regular polytopes of given rank
• An atlas of small regular abstract polytopes
• Minimal equivelar polytopes
• Roots of unity and nullity modulo $n$
• Abstract Regular Polytopes
• Tight orientably-regular polytopes

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