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Non-Euclidean visibility problems

Fernando Chamizo

math.NTarXiv:math/0607699

Abstract

We consider the analog of visibility problems in hyperbolic plane (represented by Poincaré half-plane model H), replacing the standard lattice Z× Z by the orbit z=i under the full modular group z. We prove a visibility criterion and study orchard problem and the cardinality of visible points in large circles

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