Reguläre Inzidenzkomplexe. II

zbMath0518.51011MaRDI QIDQ1053990

Egon Schulte

Publication date: 1983

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

Coxeter groups with linear diagramregular incidence complexregular incidence polytopes

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Polyhedra and polytopes; regular figures, division of spaces (51M20) Combinatorial aspects of finite geometries (05B25)

Related Items (31)

Chirality and projective linear groups ⋮ Chiral polytopes from hyperbolic honeycombs ⋮ On a class of abstract polytopes constructed from binary codes ⋮ Highly symmetric hypertopes ⋮ Regular polytopes from twisted Coxeter groups ⋮ Self-dual regular 4-polytopes and their Petrie-Coxeter-polyhedra ⋮ Symmetric graphs from polytopes of high rank ⋮ An exploration of locally spherical regular hypertopes ⋮ Polytopes of high rank for the alternating groups ⋮ Some infinite families of finite incidence-polytopes ⋮ Regular polytopes from twisted Coxeter groups and unitary reflexion groups ⋮ Hermitian forms and locally toroidal regular polytopes ⋮ Twisted Groups and Locally Toroidal Regular Polytopes ⋮ Regular 4-polytopes from the Livingstone graph of Janko's first group ⋮ Cube-like incidence complexes and their groups ⋮ On the Schläfli symbol of chiral extensions of polytopes ⋮ Regular polytopes of type \{4,4,3\} and \{4,4,4\} ⋮ Polyhedron complexes with simply transitive group actions and their realizations ⋮ Two-orbit polyhedra from groups ⋮ Hypergraph polytopes ⋮ Constructions for regular polytopes ⋮ Regular polygonal complexes in space, I ⋮ Polytopes related to the Picard group ⋮ Generating Combinatorial Complexes of Polyhedral Type ⋮ Automorphism groups of 3-orbit polyhedra ⋮ On arranging regular incidence-complexes as faces of higher-dimensional ones ⋮ Polygonal Complexes and Graphs for Crystallographic Groups ⋮ Locally projective regular polytopes ⋮ Regular incidence-polytopes with Euclidean or toroidal faces and vertex- figures ⋮ Realizations of regular apeirotopes ⋮ Incidence-polytopes of type \(\{ 6,3,3\}\)

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