A displacement device comprises a stator comprising non-parallel stator-x and stator-y elongated traces. The device comprises a moveable stage comprising a first magnet array comprising first magnetization segments linearly elongated in a stage-x direction and having magnetization directions generally orthogonal to the stage-x direction. The first magnet array comprises a first pair of adjacent first magnetization segments comprising two first magnetization segments adjacent to one another in a stage-y direction non-parallel to the stage-x direction. Each first magnetization segment in the first pair has a corresponding magnetization direction oriented at a corresponding angle αn about a corresponding stage-x axis as measured from a positive stage-z direction that is generally orthogonal to both the stator-x and stator-y directions. The corresponding angle αn is one of 45°+n90° where n is any integer. Each first magnetization segment in the first pair has a different magnetization direction.