In a chip package, semiconductor dies in a vertical stack of semiconductor dies or chips (which is referred to as a ‘plank stack’) are aligned by positive features that are mechanically coupled to negative features recessed below the surfaces of adjacent semiconductor dies. Moreover, the chip package includes an interposer plate at approximately a right angle to the plank stack, which is electrically coupled to the semiconductor dies along an edge of the plank stack. In particular, electrical pads proximate to a surface of the interposer plate (which are along a stacking direction of the plank stack) are electrically coupled to pads that are proximate to edges of the semiconductor dies by an intervening conductive material, such as solder balls or spring connectors. Note that the chip package may facilitate high-bandwidth communication of signals between the semiconductor dies and the interposer plate.