System and method for implementing a multistage network using a two-dimensional array of tiles

A system for implementing a multistage network, comprising:

• a first tile comprising a processor, a first top brick operatively connected to the processor, a first bottom brick, and a first intermediate brick;
• a second tile comprising a second intermediate brick and a second bottom brick;
• a first plurality of connections operatively connecting the first top brick with the second intermediate brick and the first intermediate brick with the second bottom brick using a passthrough on an intermediate tile between the first tile and the second tile, wherein the first tile, the intermediate tile, and the second tile are positioned in a row of a two-dimensional array;
• and
• a third tile comprising a cache operatively connected to a third bottom brick, wherein the second tile and the third tile are positioned in a column of the two-dimensional array,
• wherein the first bottom brick, the second bottom brick, and the third bottom brick are different bricks, and are associated with a bottom layer of the multistage network linking the processor and the cache, and
• wherein the first intermediate brick and the second intermediate brick are associated with an intermediate layer of the multistage network.