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Aperiodic tilings of the hyperbolic plane by convex polygons
Authors:G A Margulis  S Mozes
Institution:(1) Department of Mathematics, Yale University, 06520 New Haven, CT, USA;(2) Institute of Mathematics, The Hebrew University of Jerusalem, Givat Ram, 91904 Jerusalem, Israel
Abstract:Several aperiodic hyperbolic tiling systems consisting of a single convex tile are constructed. Research partially supported by GIF grant no. G-454.213.06.95 and SFB 343 Bielefeld. The work of the first author was supported in part by NSF grant DMS-9424613. The work of the second author was supported in part by a grant of the Israel Academy of Sciences, and by the Edmund Landau Center for Research in Mathematical Analysis supported by the Minerva Foundation (Federal Republic of Germany).
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