Space Checkers

From BoardGameGeek:

Space Checkers adapts traditional checkers to the 3rd dimension. Instead of 12 men on an 8x8 square, each side has 8 men on a 4x4x4 cube. The adaptation is straight-forward: Black sets up near the south lower edge and can only move north and up; Red sets up near the north upper edge and can only move south and down. Captures and crowning are 3D analogs to the 2D case. Rather than having 4 large levels, the board is split into 4 towers of 2x2 portions. This allows one to more easily reach the pieces at the interiors of each level, without interfering with the visualization of the complete cube.