Convex-faced combinatorially regular polyhedra of small genus

DOI10.3390/sym4010001zbMath1351.52014OpenAlexW2022215252MaRDI QIDQ350575

Egon Schulte, Jörg M. Wills

Publication date: 9 December 2016

Published in: Symmetry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/sym4010001

zbMATH Keywords

Riemann surfacesregular mapsautomorphism groupsregular polyhedraplatonic solidspolyhedral embeddings

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Symmetry properties of polytopes (52B15) Polyhedral manifolds (52B70)

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Hurwitz's regular map <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mfenced><mml:mn>3</mml:mn><mml:mn>7</mml:mn></mml:mfenced></mml:math> of genus <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mn>7</mml:mn></mml:math>: A polyhedral realization ⋮ Realizations of lattice quotients of Petrie-Coxeter polyhedra ⋮ On polyhedral realizations of Hurwitz's regular map {3, 7}_18 of genus 7 with geometric symmetries ⋮ Icosahedral skeletal polyhedra realizing Petrie relatives of Gordan's regular map ⋮ Vertex-transitive polyhedra of higher genus. I

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