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Computing a Dirichlet domain for a hyperbolic surface

This paper exhibits and analyzes an algorithm that takes a given closed orientable hyperbolic surface and outputs an explicit Dirichlet domain. The input is a fundamental polygon with side pairings. While grounded in topological considerations, the algorithm makes key use of the geometry of the sur...

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Bibliografische Detailangaben
Hauptverfasser: Vincent Despre, Benedikt Kolbe, Hugo Parlier, Monique Teillaud
Format: Artigo
Sprache:Inglês
Veröffentlicht: Carleton University 2025-02-01
Schriftenreihe:Journal of Computational Geometry
Online-Zugang:https://jocg.org/index.php/jocg/article/view/5169
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