 This topological torus is also often called the Clifford torus.In fact, "S"3 is filled out by a family of nested tori in this manner (with two degenerate circles), a fact which is important in the study of "S"3 as a fiber bundle over "S"2 (the Hopf bundle).The surface described above, given the relative topology from R3, is homeomorphic to a topological torus as long as it does not intersect its own axis.