An interconnection subsystem for interconnecting a predetermined maximum number of nodes, the predetermined maximum number of nodes being other than a power of two each node having a predetermined maximum number of connections, said predetermined maximum number of connections being greater than two and less than one less than the number of nodes, for transferring information, the nodes' respective connections being interconnected by communication links in the form of a polygonal topology in which a subset of the nodes are connected in a ring having a plurality of sides corresponding to the number of nodes in said subset, and others of said nodes are connected to at least some of the nodes in the ring.