  On a geometrical view, the conception of map geometries are introduced, which
is a nice model of the Smarandache geometries, also new kind of and more
general intrinsic geometry of surface. Results convinced one that map
geometries are Smarandache geometries and their enumertion are obtained. Open
problems related combinatorial maps with the Riemann geometry and Smarandache
geometries are also presented in this paper.
