A new Petrie-like construction for abstract polytopes

DOI10.1016/j.jcta.2007.11.008zbMath1148.51005OpenAlexW2053708329MaRDI QIDQ941312

Dimitri Leemans, Michael Ian Hartley

Publication date: 4 September 2008

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2007.11.008

zbMATH Keywords

Petrie dualstring groupregular abstract polytope

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Polyhedra and polytopes; regular figures, division of spaces (51M20)

Related Items

Infinite families of hypertopes from centrally symmetric polytopes, Polytopes of high rank for the alternating groups, Polytopes of high rank for the symmetric groups, Regular 4-polytopes from the Livingstone graph of Janko's first group, An exploration of locally projective polytopes, String C-group representations of alternating groups, On the ranks of string C-group representations for symplectic and orthogonal groups

Cites Work

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• Regular polytopes of full rank
• Regular polyhedra - old and new
• An atlas of small regular abstract polytopes
• On the thin regular geometries of rank four for the Janko group \(J_1\)
• Abstract Regular Polytopes