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Self-dual regular 4-polytopes and their Petrie-Coxeter-polyhedra

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Publication:1105835
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DOI10.1007/BF03322401zbMath0649.52005MaRDI QIDQ1105835

Peter McMullen, Egon Schulte

Publication date: 1987

Published in: Results in Mathematics (Search for Journal in Brave)


zbMATH Keywords

tesselationsPetrie-Coxeter polyhedraself-dual regular 4-incidence polytopes


Mathematics Subject Classification ID

Polytopes and polyhedra (52Bxx)


Related Items

Constructing infinite families of regular incidence (quasi-)polytopes ⋮ Some infinite families of finite incidence-polytopes ⋮ Regular polytopes from twisted Coxeter groups and unitary reflexion groups ⋮ Chiral polyhedra in 3-dimensional geometries and from a Petrie-Coxeter construction ⋮ Constructions for regular polytopes



Cites Work

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  • Reguläre Inzidenzkomplexe. II
  • On Coxeter's regular skew polyhedra
  • Infinite series of combinatorially regular polyhedra in three-space
  • Regular polytopes from twisted Coxeter groups
  • Equivelar polyhedral manifolds in \(E^ 3\).
  • Reguläre Inzidenzkomplexe. I
  • Amalgamation of Regular Incidence-Polytopes
  • Combinatorially regular polytopes
  • Regular Skew Polyhedra in Three and Four Dimension, and their Topological Analogues
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