Non-Euclidean visibility problems

Details Non-Euclidean visibility problems Non-Euclidean visibility problems

2006-07-27

arxiv.org/abs/math/0607699v1

Mathematics

Number Theory

14 pages, 1 figure

Scientific paper

We consider the analog of visibility problems in hyperbolic plane
(represented by Poincar\'{e} half-plane model H), replacing the standard
lattice $Z\times Z$ 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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