Implementation of multi-stage switching networks

Multi-stage switching networks may be constructed and expanded from small to very large networks that are contained within a compact physical volume. This is accomplished by replication of a pre-selected network module containing switches by a rotating, folding and squaring process that substantially reduces the length of connections between switches. This geometry allows very large networks by inductively combining smaller networks into larger networks. In networks constructed with this geometry, the length of the longest connections between switches is proportional to the square root of the number of ports provided by the network.