Systems and methods for folding a single instruction multiple data (SIMD) array include a newly defined processing element group (PEG) that allows interconnection of PEGs by abutment without requiring a row or column weave pattern. The interconnected PEGs form a SIMD array that is effectively folded at its center along the North-South axis, and may also be folded along the East-West axis. The folding of the array provides for north and south boundaries to be co-located and for east and west boundaries to be co-located. The co-location allows wrap-around connections to be done with a propagation distance reduced effectively to zero.