A method of manufacturing a three-dimensional object operates a platen configured to facilitate the release of objects produced by a three-dimensional object printer. The method includes moving a first plate and a second plate to form a platen, the first plate having a plurality of parallel members and the second plate having a plurality of parallel members, the first plate and the second plate being moved to interlock the plurality of parallel members of the first plate with the plurality of parallel members of the second plate to form the platen, at least one of the first plate and the second plate being independently movable. At least one of the first plate and second plate is moved to release a three-dimensional object formed by the printer from the platen.