Locally projective regular polytopes

DOI10.1016/0097-3165(94)90033-7zbMath0792.52005OpenAlexW1988328510MaRDI QIDQ1317448

Peter McMullen

Publication date: 28 July 1994

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(94)90033-7

zbMATH Keywords

symmetry groupabstract regular polytopescombinatorially regular polytopeslocally projective regular polytopesminimal sectionsuniversal polytopes

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Symmetry properties of polytopes (52B15)

Related Items (6)

Locally projective polytopes of type \(\{4,3,\dots,3,p\}\) ⋮ Regular polytopes of nearly full rank ⋮ Twisted Groups and Locally Toroidal Regular Polytopes ⋮ An exploration of locally projective polytopes ⋮ Quotients of a universal locally projective polytope of type \(\{5,3,5\}\) ⋮ Realizations of regular polytopes. III

Cites Work

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• Dissecting orthoschemes into orthoschemes
• Regular polytopes from twisted Coxeter groups and unitary reflexion groups
• Hermitian forms and locally toroidal regular polytopes
• Reguläre Inzidenzkomplexe. II
• Regular polytopes from twisted Coxeter groups
• Realizations of regular polytopes
• Regular polytopes of type \{4,4,3\} and \{4,4,4\}
• Ten toroids and fifty-seven hemi-dodecahedra
• Higher toroidal regular polytopes
• Combinatorially regular polytopes

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