 They are also self-dual.In general, a regular complex polytope is represented by Coxeter as "p"{"z"1}"q"{z2}"r"{z3}"s"… or Coxeter diagram …, having symmetry "p"["z"1]"q"["z"2]"r"["z"3]"s"… or ….There are infinite families of regular complex polytopes that occur in all dimensions, generalizing the hypercubes and cross polytopes in real space.