A torus interconnect is a switch-less network topology for connecting processing nodes in a parallel computer system.
The animation illustrates how a two dimension torus is generated from a rectangle by connecting its two pairs of opposite edges.
The above ruleset shows that each higher dimension adds another pair of nearest neighbor connections to each node.
Fujitsu's K computer and the PRIMEHPC FX10 use a proprietary three-dimensional torus 3D mesh interconnect called Tofu.
[2] Sandeep Palur and Dr. Ioan Raicu from Illinois Institute of Technology conducted experiments to simulate 3D torus performance.