Pyramids Over Regular 3-Tori

DOI10.1137/17M1111954zbMath1384.52010MaRDI QIDQ4602854

Daniel Pellicer, Gordon Ian Williams

Publication date: 7 February 2018

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

flagabstract polytoperegular polytopemaniplexreflexible map

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Symmetry properties of polytopes (52B15) Group actions on combinatorial structures (05E18)

Related Items (1)

Stratified operations on maniplexes

Uses Software

• GAP

Cites Work

• Maniplexes. I: Maps, polytopes, symmetry and operators
• The monodromy group of the \(n\)-pyramid
• Finite polytopes have finite regular covers
• Minimal covers of the Archimedean tilings. I
• Minimal covers of the prisms and antiprisms
• The monodromy group of a truncated simplex
• Representing the sporadic Archimedean polyhedra as abstract polytopes
• Products of abstract polytopes
• Minimal covers of the Archimedean tilings. II.
• Symmetry type graphs of polytopes and maniplexes
• Monodromy Groups and Self-Invariance
• Lectures on Polytopes
• Convex Polytopes
• Abstract Regular Polytopes
• The tomotope
• Mixing and monodromy of abstract polytopes
• Petrie Schemes
• Proofs from THE BOOK
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