ribbon graph 0 sigma_0 = (0,2,3)(1,5,4) alpha_0 = (0,3)(1,4)(2,5) phi_0 = (0,2,1,5)(3)(4) Aut(G_0) = C2 edge-face adjacency matrix [1 1 2] [1 0 0] [0 1 0] -------------------------------------------------------------------------------- ribbon graph 1 sigma_1 = (0,4,5)(1,3,2) alpha_1 = (0,3)(1,4)(2,5) phi_1 = (0,1)(2,4)(3,5) Aut(G_1) = S3 edge-face adjacency matrix [1 1 0] [0 1 1] [1 0 1] --------------------------------------------------------------------------------