3D rendering of starting position
3D rendering of starting position

Millennium 3D chess is a three-dimensional chess variant created by William L. d'Agostino in 2001 which employs three vertically stacked 8×8 boards, with each player controlling a standard set of chess pieces.[1][2] The inventor describes his objective as "extending the traditional chess game into a multilevel environment without distorting the basic game."[3]

Rules

Millennium 3D Chess rules extend the traditional (two-dimensional) chess game into a multi-level environment.

For notation purposes, the three board levels are denoted 1, 2 (the middle board), and 3. Moves are recorded in the same manner as chess, using algebraic notation, with the only difference that each square is prefaced by its level number. The white and black armies begin, in standard formation, on boards 1 and 3 respectively.

All pieces can always move as normal while staying on the same board. Additionally, every piece is able to move between boards. Each piece's additional permitted movement in the third dimension is extended from its conventional 2D movement as follows:


a8
b8
c8
d8
e8
f8
g8
h8
a7
b7
c7
d7
e7
f7
g7
h7
a6
b6
c6
d6
e6
f6
g6
h6
a5
b5
c5
d5
e5
f5
g5
h5
a4
b4
c4
d4
e4
f4
g4
h4
a3
b3
c3
d3
e3
f3
g3
h3
a2
b2
c2
d2
e2
f2
g2
h2
a1
b1
c1
d1
e1
f1
g1
h1
1
a8
b8
c8
d8
e8
f8
g8
h8
a7
b7
c7
d7
e7
f7
g7
h7
a6
b6
c6
d6
e6
f6
g6
h6
a5
b5
c5
d5
e5
f5
g5
h5
a4
b4
c4
d4
e4
f4
g4
h4
a3
b3
c3
d3
e3
f3
g3
h3
a2
b2
c2
d2
e2
f2
g2
h2
a1
b1
c1
d1
e1
f1
g1
h1
2
a8
b8
c8
d8
e8
f8
g8
h8
a7
b7
c7
d7
e7
f7
g7
h7
a6
b6
c6
d6
e6
f6
g6
h6
a5
b5
c5
d5
e5
f5
g5
h5
a4
b4
c4
d4
e4
f4
g4
h4
a3
b3
c3
d3
e3
f3
g3
h3
a2
b2
c2
d2
e2
f2
g2
h2
a1
b1
c1
d1
e1
f1
g1
h1
3
Initial setup


a8
b8
c8
d8
e8
f8
g8
h8
a7
b7
c7
d7
e7
f7
g7
h7
a6
b6
c6
d6
e6
f6
g6
h6
a5
b5
c5
d5
e5
f5
g5
h5
a4
b4
c4
d4
e4
f4
g4
h4
a3
b3
c3
d3
e3
f3
g3
h3
a2
b2
c2
d2
e2
f2
g2
h2
a1
b1
c1
d1
e1
f1
g1
h1
1
a8
b8
c8
d8
e8
f8
g8
h8
a7
b7
c7
d7
e7
f7
g7
h7
a6
b6
c6
d6
e6
f6
g6
h6
a5
b5
c5
d5
e5
f5
g5
h5
a4
b4
c4
d4
e4
f4
g4
h4
a3
b3
c3
d3
e3
f3
g3
h3
a2
b2
c2
d2
e2
f2
g2
h2
a1
b1
c1
d1
e1
f1
g1
h1
2
a8
b8
c8
d8
e8
f8
g8
h8
a7
b7
c7
d7
e7
f7
g7
h7
a6
b6
c6
d6
e6
f6
g6
h6
a5
b5
c5
d5
e5
f5
g5
h5
a4
b4
c4
d4
e4
f4
g4
h4
a3
b3
c3
d3
e3
f3
g3
h3
a2
b2
c2
d2
e2
f2
g2
h2
a1
b1
c1
d1
e1
f1
g1
h1
3
Movement of the rook and knight


a8
b8
c8
d8
e8
f8
g8
h8
a7
b7
c7
d7
e7
f7
g7
h7
a6
b6
c6
d6
e6
f6
g6
h6
a5
b5
c5
d5
e5
f5
g5
h5
a4
b4
c4
d4
e4
f4
g4
h4
a3
b3
c3
d3
e3
f3
g3
h3
a2
b2
c2
d2
e2
f2
g2
h2
a1
b1
c1
d1
e1
f1
g1
h1
1
a8
b8
c8
d8
e8
f8
g8
h8
a7
b7
c7
d7
e7
f7
g7
h7
a6
b6
c6
d6
e6
f6
g6
h6
a5
b5
c5
d5
e5
f5
g5
h5
a4
b4
c4
d4
e4
f4
g4
h4
a3
b3
c3
d3
e3
f3
g3
h3
a2
b2
c2
d2
e2
f2
g2
h2
a1
b1
c1
d1
e1
f1
g1
h1
2
a8
b8
c8
d8
e8
f8
g8
h8
a7
b7
c7
d7
e7
f7
g7
h7
a6
b6
c6
d6
e6
f6
g6
h6
a5
b5
c5
d5
e5
f5
g5
h5
a4
b4
c4
d4
e4
f4
g4
h4
a3
b3
c3
d3
e3
f3
g3
h3
a2
b2
c2
d2
e2
f2
g2
h2
a1
b1
c1
d1
e1
f1
g1
h1
3
Movement of the bishop and queen


a8
b8
c8
d8
e8
f8
g8
h8
a7
b7
c7
d7
e7
f7
g7
h7
a6
b6
c6
d6
e6
f6
g6
h6
a5
b5
c5
d5
e5
f5
g5
h5
a4
b4
c4
d4
e4
f4
g4
h4
a3
b3
c3
d3
e3
f3
g3
h3
a2
b2
c2
d2
e2
f2
g2
h2
a1
b1
c1
d1
e1
f1
g1
h1
1
a8
b8
c8
d8
e8
f8
g8
h8
a7
b7
c7
d7
e7
f7
g7
h7
a6
b6
c6
d6
e6
f6
g6
h6
a5
b5
c5
d5
e5
f5
g5
h5
a4
b4
c4
d4
e4
f4
g4
h4
a3
b3
c3
d3
e3
f3
g3
h3
a2
b2
c2
d2
e2
f2
g2
h2
a1
b1
c1
d1
e1
f1
g1
h1
2
a8
b8
c8
d8
e8
f8
g8
h8
a7
b7
c7
d7
e7
f7
g7
h7
a6
b6
c6
d6
e6
f6
g6
h6
a5
b5
c5
d5
e5
f5
g5
h5
a4
b4
c4
d4
e4
f4
g4
h4
a3
b3
c3
d3
e3
f3
g3
h3
a2
b2
c2
d2
e2
f2
g2
h2
a1
b1
c1
d1
e1
f1
g1
h1
3
Movement of the pawn and king. Squares marked × are capturing moves for the pawns.

Example game

George Davis vs. William d'Agostino, corr. 2006:
1. ♘2g3 ♝2b7 2. ♗3e3 ♞3c6 3. ♘2b3 ♝2g7 4. ♘2a5 ♛1b6 5. ♘3c5 ♛×1b2 6. ♘×3b7 ♛3b4 7. ♘3c5 ♛3e1+ 8. ♕2e1 ♛3c3+ 9. ♔2f1 ♛×1a1 10. ♕2c1 ♝2a6+ 11. 2e2 ♛×1a2 12. ♘2c7 ♜2h7 13. ♘1e7+ ♚2e8 14. ♘1c6 ♜1c8 15. ♘×3c7 ♜×1c2 16. ♕2c7 ♛2b1+ 17. ♔1g1 ♞3e5 18. ♕1d7+ ♚2f8 19. ♗2f4 ♛2d1 20. ♗×3e5 ♛3e1+ 21. ♔2g1 ♛×3e5 22. ♕2e7+ ♚1g7 23. ♕×3d7 ♝2d4+ 24. 2e3 ♜2c1+ 25. ♔1g1 ♛3g3+ 26. 2g2 ♜2f1+ 27. ♘×2f1 ♝3e3+ 28. 2f2 ♛×2f2# 0–1

References

  1. ^ Pritchard (2007), p. 227
  2. ^ Smith, L. Lynn (Summer 2003). Handscomb, Kerry (ed.). "Space Chess for the Millennium". Abstract Games. No. 14. Carpe Diem Publishing. pp. 20–21. ISSN 1492-0492.
  3. ^ d'Agostino, William L. "Millennium 3‑D Chess". webspace.webring.com. Retrieved 15 August 2018.

Bibliography