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Minimal covers of the Archimedean tilings. I

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Publication:456324
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zbMath1258.51013MaRDI QIDQ456324

Daniel Pellicer, Gordon Ian Williams

Publication date: 24 October 2012

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v19i3p6


zbMATH Keywords

regular coverabstract polytopeArchimedean tilingquotient polytopestring \(C\)-groupuniform tiling


Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Polyhedra and polytopes; regular figures, division of spaces (51M20) Symmetry properties of polytopes (52B15) Infinite automorphism groups (20B27)


Related Items (8)

Stratified operations on maniplexes ⋮ On the topology of infinite regular and chiral maps ⋮ The monodromy group of the \(n\)-pyramid ⋮ Pyramids Over Regular 3-Tori ⋮ Minimal covers of the Archimedean tilings. II. ⋮ Minimal covers of the prisms and antiprisms ⋮ Open problems on \(k\)-orbit polytopes ⋮ Archimedean toroidal maps and their minimal almost regular covers




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