  We embed neighborhood geometries of graphs on surfaces as point-circle
configurations. We give examples coming from regular maps on surfaces with
maximum number of automorphisms for their genus and survey geometric
realization of pentagonal geometries coming from Moore graphs. An infinite
family of point-circle $v_4$ configurations on $p$-gonal surfaces with two
$p$-gonal morphisms is given. The image of these configuration on the sphere
under the two $p$-gonal morphisms is also described.
