Non-Euclidean visibility problems
- Cite this article as:
- Chamizo, F. Proc. Indian Acad. Sci. (Math. Sci.) (2006) 116: 147. doi:10.1007/BF02829784
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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 orbitz = i under the full modular group SL2(ℤ). We prove a visibility criterion and study orchard problem and the cardinality of visible points in large circles.