Musings on 3D Chess

5.   Conclusion

5.1.   Premise Summary

• Premise 1: Chessboard notation is (file)(rank)(level), where files are lettered a, b, c, etc., ranks are numbered 1, 2, 3, etc., and levels are lettered A, B, C, etc.
• Premise 2: The chessboard consists of multiple 2D boards arranged vertically, forming a grid of cells. Portions of the grid may be unusable.
• Premise 3: 2D boards are offset 0 or 1 unit for each increase in level in either the X direction, the Y direction, or both the X and Y directions.
• Premise 4: The chessboard uses cells of two colors.
• Premise 5: Vertically, the chessboard cell colors may be varying or constant.
• Premise 6: 3D piece moves are a superset of 2D piece moves.
• Premise 7: Use the standard 32 chess pieces.
• Premise 8: Pieces who use straight line moves travel through alternating color cells or cells of the same color.
• Premise 9: Straight line moves out of the XY plane parallel the chessboard's corner axis.
• Premise 10: Each of the two segments of a Knight move are normal Rook moves for the chessboard.
• Premise 11: Restrict the board to 64 usable squares.