A novel high torque density double stator permanent magnet electric machine is provided. An outer stator is provided which has complex teeth and optionally can have windings every tooth or every other tooth. A rotor is provided having a plurality of magnet receivers, each with a complex topology. Magnets are provided in the rotor which are tangentially magnetized with alternating polarities and a complex topology to increase torque density. An inner stator is provided having a plurality of teeth with complex topologies. Windings are provided around every tooth or every other tooth, alternatively. Air-gaps are provided between the outer stator and the rotor and between the rotor and inner stator. The air-gap between the inner stator and the rotor is smaller than the air-gap between the outer stator and the rotor. A lower current density in certain windings improves thermal response without comprising average torque.