IMCS/Publications/BASM/Issues/BASM n.2 (33), 2000/

On the classification of tilings on Riemann surfaces of genus two. (English)

Authors: Zamorzaeva Elizaveta


We consider Riemann surfaces of genus 2 with rich metrics, and namely, the three Riemann surfaces admitting regular maps. For groups of conformal automorphisms of these surfaces, the classification of fundamental isohedral tilings is obtained. The tilings are given by the adjacency symbols of the corresponding tilings on the universal covering hyperbolic plane.

Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
str. Academiei 5, MD-2028 Chisinau, Moldova