Regular polyhedra of index two. II.

DOI10.1007/s13366-011-0022-1zbMath1237.52009arXiv1011.3034OpenAlexW2950003083MaRDI QIDQ717835

Anthony M. Cutler

Publication date: 7 October 2011

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.3034

zbMATH Keywords

regular polyhedronabstract polytopesregular maps on surfacesface-transitivityKepler-Poinsot polyhedraArchimedean polyhedraface shapenon-Petrie duality

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Symmetry properties of polytopes (52B15)

Related Items (7)

Realising equivelar toroids of type \(\{4,4\}\) ⋮ Wythoffian skeletal polyhedra in ordinary space. I ⋮ Icosahedral skeletal polyhedra realizing Petrie relatives of Gordan's regular map ⋮ Finite 3-orbit polyhedra in ordinary space. I ⋮ Open problems on \(k\)-orbit polytopes ⋮ Regular polyhedra of index two. I. ⋮ Polygonal Complexes and Graphs for Crystallographic Groups

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