It is represented by Schläfli symbol of {8,3}, having three regular octagons around each vertex.
Within the regular map, octagons of the same color are considered the same face shown in multiple locations.
The 2,0 subscripts show the same color will repeat by moving 2 steps in a straight direction following opposite edges.
This regular map also has a representation as a double covering of a cube, represented by Schläfli symbol {8/2,3}, with 6 octagonal faces, double wrapped {8/2}, with 24 edges, and 16 vertices.
And also is topologically part of sequence of regular tilings with Schläfli symbol {8,n}.