A switching system formed of a number of nodes interfacing with external network elements and interconnected through a number of independent switches is disclosed. The switches are arranged into a set of primary switches, a set of secondary switches, and a set of tertiary switches and each node connects to a respective primary switch, a respective secondary switch, and a respective tertiary switch. The connection pattern of nodes to switches is selected so that any set of nodes connecting to any primary switch, any set of nodes connecting to any secondary switch, and any set of nodes connecting to any tertiary switch are mutually orthogonal. A distributed control system sets a path from any node to any other node traversing at most two switches. The switching system may serve as a large-scale data-switching center or a geographically distributed network.