English

Non-Euclidean visibility problems

Number Theory 2007-05-23 v1 Metric Geometry

Abstract

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

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Cite

@article{arxiv.math/0607699,
  title  = {Non-Euclidean visibility problems},
  author = {Fernando Chamizo},
  journal= {arXiv preprint arXiv:math/0607699},
  year   = {2007}
}

Comments

14 pages, 1 figure