Three-torus


The three-dimensional torus, or triple torus, is defined as the Cartesian product of three circles,
In contrast, the usual torus is the Cartesian product of two circles only.
The triple torus is a three-dimensional compact manifold with no boundary. It can be obtained by "gluing" the three pairs of opposite faces of a cube, where being "glued" can be intuitively understood to mean that when a particle moving in the interior of the cube reaches a point on a face, it goes through it and appears to come forth from the corresponding point on the opposite face.