Non-Euclidean visibility problems

  • Fernando Chamizo
Regular Articles

DOI: 10.1007/BF02829784

Cite this article as:
Chamizo, F. Proc. Indian Acad. Sci. (Math. Sci.) (2006) 116: 147. doi:10.1007/BF02829784

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 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.

Keywords

Modular grouphyperbolic planePoincaré half-plane model

Copyright information

© Indian Academy of Sciences 2006

Authors and Affiliations

  • Fernando Chamizo
    • 1
  1. 1.Departamento de Matemáticas, Facultad de CienciasUniversidad Autónoma de MadridMadridSpain