Predavatelj: Daniel Pellicer

A regular map is a map such that is automorphism group acts transitively in the triples of incident vertex, edge and face. We consider the Archimedean tessellations of the Euclidean plane as maps and we look for the smallest regular map that covers these objects. These covers are known to exist, and they must be quotients of some regular tessellation of the hyperbolic plane. In this talk I will show the defining relations of some of these covers and its geometric interpretation.