Counting domains in {p,q} tessellations |
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| Affiliation: | Departamento de Matemática Universidade Estadual de Maringá 87020-900 - Maringá - PR, Brazil;Universidade Estadual de Campinas Instituto de Matemática, IMECC 13083-970 - Campinas - SP, Brazil;Universidade Estadual de Campinas Faculdade de Engenharia Elétrica, FEECC 13083-970 - Campinas - SP, Brazil |
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| Abstract: | For any given regular {p,q} tessellation in the hyperbolic plane, we compute the number of vertices and tiles to be found as we distance from a given point, enabling a complete characterization of the asymptotic behavior. |
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