Meshing the hyperbolic octagon
نویسندگان
چکیده
This short report describes a preliminary study of a method computing meshes of the standard hyperbolic octagon that respects its symmetries. A prototype software was written, using the 2D meshing package of the CGAL library [1, 10] and a software computing hyperbolic triangulations, currently under development [4]. Key-words: Hyperbolic geometry, Poincaré disk, Schwarz triangle, mesh ∗ This work was done while the first author was working as an intern student at INRIA ha l-0 07 64 96 5, v er si on 1 13 D ec 2 01 2 Maillages de l’octogone hyperbolique Résumé : Ce court rapport décrit une étude préliminaire d’une méthode permettant de calculer des maillages de l’octogone hyperbolique qui respecte ses symétries. Un logiciel prototype a été réalisé, utilisant le module de maillages 2D de la bibliothèque CGAL [1, 10] et un logiciel de calcul de triangulations hyperboliques en cours de développememnt [4]. Mots-clés : Géométrie hyperbolique, disque de Poincaré, triangle de Schwarz, maillage ha l-0 07 64 96 5, v er si on 1 13 D ec 2 01 2 Meshing the hyperbolic octagon 3
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