Non-Euclidean visibility problems
Abstract
Description
We consider the analog of visibility problems in hyperbolic plane (represented by Poincaré 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
14 pages, 1 figure
14 pages, 1 figure