Abstract: Ice pieces are discharged from an ice-making container into a tray disposed therebeneath by the procedure of inverting the container and twisting it in an initial direction of rotation to discharge most of the ice pieces into a first region of the tray, and then twisting the tray in a direction opposite the first direction to discharge residual ice pieces into the tray. The initial direction of twisting occurring during each such procedure is opposite the initial direction of twisting performed during a prior procedure, so that the majority of ice pieces discharged during each procedure falls into a different region of the tray than during a prior procedure. This results in a more uniform distribution of ice pieces in the tray. Instead of twisting the container in two directions during each procedure, it could be twisted in only one direction.