Maximally symmetric polyhedral realizations of Dyck's regular map

DOI10.1112/S0025579300013474zbMath0633.52004MaRDI QIDQ3771132

Ulrich Brehm

Publication date: 1987

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

symmetrypolyhedraDyck's regular mapPlatonic solid

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Polytopes and polyhedra (52Bxx)

Related Items (9)

Regular maps of high density ⋮ 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 ⋮ Regular polyhedra with hidden symmetries ⋮ Non-existence of polyhedral immersions of triangulated surfaces in \(\mathbb R^3\) ⋮ Polyhedral surfaces in wedge products ⋮ Vertex-transitive polyhedra of higher genus. I ⋮ Isomorphism-free lexicographic enumeration of triangulated surfaces and 3-manifolds

Cites Work

• Polyhedral 2-manifolds in \(E^ 3\) with unusually large genus
• Geometric realizations for Dyck's regular map on a surface of genus 3
• On Coxeter's regular skew polyhedra
• A Polyhedral Realization of Felix Klein's Map {3, 7}₈ on a Riemann Surface of Genus 3

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