From Farey fractions to the Klein quartic and beyond

DOI10.26493/1855-3974.2046.cb6zbMath1476.30146arXiv1909.08568OpenAlexW3095754817MaRDI QIDQ5156007

James Strudwick, Ioannis Ivrissimtzis, David Singerman

Publication date: 14 October 2021

Published in: Ars Mathematica Contemporanea (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.08568

zbMATH Keywords

Riemann surfacesregular mapsprincipal congruence subgroupsmodular groupKlein quarticFarey tessellation

Mathematics Subject Classification ID

Polyhedra and polytopes; regular figures, division of spaces (51M20) Compact Riemann surfaces and uniformization (30F10) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10)

Related Items (1)

Hexagonal cell graphs of the normalizer with signature $(2, 6, \infty)$

Cites Work

• Petrie polygons, Fibonacci sequences and Farey maps
• A Polyhedral Realization of Felix Klein's Map {3, 7}₈ on a Riemann Surface of Genus 3
• Theory of Maps on Orientable Surfaces
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