 A regular complex polyhedron, "p"{"n"1}"q"{"n"2}"r" or , has faces, edges, and vertex figures.A complex regular polyhedron "p"{"n"1}"q"{"n"2}"r" requires both "g"1 = order("p"["n"1]"q") and "g"2 = order("q"["n"2]"r") be finite.Given "g" = order("p"["n"1]"q"["n"2]"r"), the number of vertices is "g"/"g"2, and the number of faces is "g"/"g"1.