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Reconfigurability of processor arrays is important due to two reasons (1) to efficiently execute different algorithms and (2) to isolate faulty processors. An array processor that is reconfigurable by the user any number of times to yield a different topology or to isolate faults is envisaged in this paper. The system has a host or controller that broadcasts a command to the interconnect to configure itself into a particular fashion. The interconnect uses static-RAM programming technology and can be programmed to different configurations by sending a different set of bits to the configuration random access memory (RAM) in the interconnect. We present three designs reconfigurable into array, ring, mesh, or Illiac mesh topologies. The first design provides no redundancy or fault tolerance. The second design is capable of graceful degradation by bypassing faulty elements. The third design is capable of graceful degradation by rerouting. The details of the interconnect and the configuration RAM contents for typical configurations are illustrated. It is seen that reconfigurable interconnect results in a highly reconfigurable or polymorphic computer.