Packable hyperbolic surfaces with symmetries

DOI10.4153/S0008439522000133OpenAlexW4211245511WikidataQ115481667 ScholiaQ115481667MaRDI QIDQ5882699

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Publication date: 17 March 2023

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.12028

zbMATH Keywords

circle packingpacking densityhyperbolic surface

Mathematics Subject Classification ID

Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Combinatorial aspects of packing and covering (05B40)

Uses Software

• GAP
• CirclePack

Cites Work

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• Horoball packings and their densities by generalized simplicial density function in the hyperbolic space
• Three techniques for obtaining algebraic circle packings
• Noncompact surfaces are packable
• Fundamental domains for planar discontinuous groups and uniform tilings
• Arithmetic triangle groups
• An algorithm for classification of fundamental polygons for a plane discontinuous group
• Densest packing of equal spheres in hyperbolic space
• Symmetries of Riemann surfaces with large automorphism group
• Horoball packings to the totally asymptotic regular simplex in the hyperbolic \(n\)-space
• Foundations of Hyperbolic Manifolds
• Packing of spheres in spaces of constant curvature
• The set of circle packing points in the Teichmüller space of a surface of finite conformal type is dense
• Ball packings in spaces of constant curvature and the simplicial density function
• Realisation of groups as automorphism groups in permutational categories
• Über die dichteste Kugelpackung im hyperbolischen Raum

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