Two-orbit polyhedra from groups

DOI10.1016/j.ejc.2009.05.007zbMath1186.68502OpenAlexW2057818906MaRDI QIDQ966149

Isabel Hubard

Publication date: 27 April 2010

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

Full work available at URL: https://doi.org/10.1016/j.ejc.2009.05.007

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

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Combinatorially two-orbit convex polytopes, Realizations of lattice quotients of Petrie-Coxeter polyhedra, The interlacing number for alternating semiregular polytopes, Stratified operations on maniplexes, Realising equivelar toroids of type \(\{4,4\}\), Vertex-transitive maps with Schläfli type \(\{3,7\}\), Symmetries of equivelar 4-toroids, Medial symmetry type graphs, Arc‐transitive maps with underlying Rose Window graphs, Semiregular polytopes and amalgamated C-groups, Finite 3-orbit polyhedra in ordinary space. I, The assembly problem for alternating semiregular polytopes, All polytopes are coset geometries: characterizing automorphism groups of \(k\)-orbit abstract polytopes, Equivelar toroids with few flag-orbits, Chiral polyhedra in 3-dimensional geometries and from a Petrie-Coxeter construction, Open problems on \(k\)-orbit polytopes, Flag bicolorings, pseudo-orientations, and double covers of maps, An existence result on two-orbit maniplexes, Map operations and \(k\)-orbit maps, Polyhedra, complexes, nets and symmetry, Automorphism groups of 3-orbit polyhedra, Universal Alternating Semiregular Polytopes, Hereditary Polytopes, Polygonal Complexes and Graphs for Crystallographic Groups, Symmetry type graphs of polytopes and maniplexes, Two-orbit convex polytopes and tilings

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