  We present a study on the trapping of hard ferromagnetic particles using
alternating magnetic fields, with a focus on planar trap geometries. First, we
realize and characterize a magnetic Paul trap design for millimeter-size
magnets based on a rotating magnetic potential. Employing a physically rotating
platform with two pairs of permanent magnets with opposite poles, we show
stable trapping of hard ferromagnets a centimeter above the trap and
demonstrate that the particle shape plays a critical role in the trapping.
Finally, we propose a chip trap design that will open a path to studies of
gyromagnetic effects with ferromagnetic micro-particles.
