Non-Euclidean visibility problems |
| |
| Authors: | Fernando Chamizo |
| |
| Affiliation: | (1) Departamento de Matemáticas, Facultad de Ciencias, Universidad Autónoma de Madrid, 28049 Madrid, Spain |
| |
| 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 group hyperbolic plane Poincaré half-plane model |
| 本文献已被 SpringerLink 等数据库收录！ |
