This chapter deals with the geometric theory of Kleinian groups and their fundamental domains. It begins with the example of the parabolic tessellation of the hyperbolic plane by means of 2n-gons limited by full geodesic lines (i.e., ideal 2n-gons). Then Dirichlet polyhedra and modular groups are discussed, with Γ(2) and Γ(1) as the main examples.
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