Abstract: A forging press includes a die set having a stationary die, a movable die in facing-but-spaced-apart relation to the stationary die along a press axis and defining a workpiece volume therebetween, and an exterior constraint extending circumferentially around the workpiece volume. The movable die has a base level region lying generally in a workpiece plane perpendicular to the press axis, and three rotationally symmetric segments raised above the base level region. Each of the segments forms an angular segment of a disk having an included segment angle and that is angularly separated from the other segments. A press mechanism includes a axial drive operable to move the movable die in a direction parallel to the press axis, and an indexing drive operable to rotate the movable die about the press axis by an indexing rotational angle.