Regular polytopes from twisted Coxeter groups

DOI10.1007/BF01160678zbMath0646.51023MaRDI QIDQ1103871

Peter McMullen, Egon Schulte

Publication date: 1989

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174048

zbMATH Keywords

Coxeter groupsregular 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)

Related Items (16)

Constructing infinite families of regular incidence (quasi-)polytopes ⋮ Manifold structures on abstract regular polytopes ⋮ Chiral polytopes from hyperbolic honeycombs ⋮ On a class of abstract polytopes constructed from binary codes ⋮ Self-dual regular 4-polytopes and their Petrie-Coxeter-polyhedra ⋮ 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 polyhedra related to projective linear groups ⋮ Regular polytopes of type \{4,4,3\} and \{4,4,4\} ⋮ Tightness, torsion, and tubes ⋮ Regular 4‐polytopes related to general orthogonal groups ⋮ Constructions for regular polytopes ⋮ Locally projective regular polytopes ⋮ Realizations of regular apeirotopes

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