A three dimensional multilayer circuit (600) includes a plurality of crossbar arrays (512) made up of intersecting crossbar segments (410, 420) and programmable crosspoint devices (514) interposed between the intersecting crossbar segments (410, 420). Shift pins (505, 510) are used to shift connection domains (430) of the intersecting crossbar segments (410, 420) between stacked crossbar arrays (512) such that the programmable crosspoint devices (514) are uniquely addressed. The shift pins (505, 510) make electrical connections between crossbar arrays (512) by passing vertically between crossbar segments (410, 510) in the first crossbar array (512) and crossbar segments in a second crossbar array. A method for transforming multilayer circuits is also described.