Method and apparatus for simulating m-dimension connection networks in and n-dimension network where m is less than n

摘要

In accordance with the invention, each element or mode in the n-dimensional connection pattern is assigned a unique binary number or address by numbering the elements. Next, the individual binary digits of the address associated with each element are assigned to the different dimensions of the connection pattern of m dimension according to a fixed rule. Each set of binary digits that is so assigned to a dimension is then treated as the address of the node in that dimension in a gray code space; and the nodes that are its nearest neighbors in that dimension are those nodes that bear the Gray code values immediately before it and immediately after it in the Gray code sequence. Data are then routed to the nearest neighbor in one direction in a dimension by forwarding them from one node to the node bearing the next succeeding (or preceding) Gray code address and a node can be conditioned to receive such data by having it look for data from the node with the next preceding (or succeeding) address.