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 po

DOI10.26493/2590-9770.1186.258zbMath1431.52024OpenAlexW2887743389MaRDI QIDQ5198006

Michael Cuntz, Jürgen Bokowski

Publication date: 2 October 2019

Published in: The Art of Discrete and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.26493/2590-9770.1186.258

zbMATH Keywords

regular mappolyhedral manifoldHurwitz surface

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Polyhedral manifolds (52B70)

Related Items (5)

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 ⋮ A Kepler-Poinsot-type polyhedron of the genus 7 Hurwitz surface ⋮ Hole operations on Hurwitz maps ⋮ Regular Leonardo polyhedra: Mathematics and art

Uses Software

• Blender

Cites Work

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• Convex-faced combinatorially regular polyhedra of small genus
• A geometric realization without self-intersections does exist for Dyck's regular map
• Regular polyhedra with hidden symmetries
• Computational synthetic geometry
• Determination of all regular maps of small genus
• Automorphismen von polyedrischen Graphen
• A Polyhedral Realization of Felix Klein's Map {3, 7}₈ on a Riemann Surface of Genus 3
• Maximally symmetric polyhedral realizations of Dyck's regular map
• Realization of Regular Maps of Large Genus
• On a Curve of Genus 7

This page was built for publication: 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 po