Isohedral tilings on Riemann surfaces of genus 2

3 Riemann surfaces which possess rich metrics are considered. In previous paper [1] the classification of fundamental isohedral tilings for groups of conformal automorphisms of these surfaces was obtained. Here the classification of fundamental isohedral tilings is obtained for groups of conformal and anticonformal automorphisms of the surfaces. The tilings are given by the adjacency symbols of the corresponding tilings on the universal covering hyperbolic plane.