Aperiodic tilings of the hyperbolic plane by convex polygons
It is proved that for every \(n\geq 3\) there exists an aperiodic tiling system whose set of tiles consists of a single convex hyperbolic \(n\)-gon. Also another criterion is presented for showing that a given tiling system cannot tessellate a compact quotient of \(H^2\).
scientific article; zbMATH DE number 1239670
scientific article