Millennium 3D Chess Millennium 3D Chess 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. The inventor describes his objective as "extending the traditional chess game into a multilevel environment without distorting the basic game." Millenium 3D Chess retains almost all the rules of standard chess, with additions made for the extra dimension. 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
Chess and is provably less than 10, with a game-tree complexity of approximately 10. The game-tree complexity of chess was first calculated by Claude Shannon as 10, a number known as the Shannon number. Typically an average position has thirty to forty possible moves, but there may be as few as zero (in the case of checkmate or stalemate) or (in a constructed position) as many as 218. Chess has inspired many combinatorial puzzles, such as the knight's tour and the eight queens puzzle. The idea of creating a chess-playing machine dates to the 18th century; around 1769, the chess-playing automaton