Abstract: An augmented De Bruijn multiprocessor network. Multiple microprocessors having a constant number of I/O ports are connected according to a network technique which yields a machine of predetermined degree. A modified binary De Bruijn graph of degree four, DG(2,k), is used as the basis for the preferred implementation. An augmentation technique supplements the basic De Bruijn topology with a 2D-mesh in a first set of steps and with a 3D-mesh in a second set of steps. The resulting machine topology contains substantially all of the problem-solving techniques important in multiprocessing, while maintaining a machine of constant degree.