The Genus-C⁴ Regular Map {4,6}

This regular map has six square faces, four 6-valent vertices, and 12 edges.

Its rotational symmetry group has order 48.

Its Petrie polygons have three edges, its holes have four edges, its 2nd-order Petrie polygons have six edges, and its 3rd-order holes have 2 edges.

Its Petrie dual is S¹{3,6}_(2,2)

The Genus-C4 Regular Map {4,6}