Comment Re:five-dimensionally connecting the cores (Score 1) 66
It's the same topology as the state space of a Rubik's cube.
a 1D torus is simply a ring. Imagine a simple ring made from eight points. Translate that ring to the side a bit, and spin 360 degrees in steps of 45 degrees. That gives you a 2D torus. Now once again move that torus off to one side, and spin it again with the same number of iterations. That's a 3D torus. Another tasty way of visualisation would be a ring of donuts sitting on the sides stacked top to bottom in a closed circle. Every node then has six neighbors. Every additional dimension adds two neighbors, until you have 10 connections for each node. Obviously, you need some means of getting data in and out, so that gives you the data connections.