Theoretically, the two-phase laminated configurations should have even much higher magnetoelectric (ME) effects-however, prior experimental studies have failed to find such an enhancement. Here, the authors report the unleashing of the potential of the (2-1) connectivity configuration: a piezofiber (one-dimension connectivity) layer laminated between two high-permeability magnetostrictive FeBSiC alloy ones (two-dimension connectivity) has near-ideal ME coupling. Very high ME effects of up to 22 V/cm Oe (4x10(-7) s/m) at 1 Hz-an order of magnitude higher than the giant ones-have been found. (c) 2006 American Institute of Physics.