Chapter 25, Boards with Three and More Dimensions
Chapter 25 Boards with three and more dimensions [We now move on to true three-dimensional boards. The earliest definite reference to three- dimensional chess appears to be to the oft-quoted Kieseritzky board, and the earliest game of which details survive is Maack’s ‘Raumschach’ of 1907. The multiple-board games of Part 1, such as Alice Chess, may also be classi,ed as 3-D games, though we shall normally restrict the term to games where the boards are stacked one above the other rather than being placed side by side. The most popular 3-D board amongst inventors, and at the same time the most mentally indigestible for the players, consists of eight normal boards mounted in this way. Less demanding on spatial vision, and hence more practical, are games confined to two or three 8x8 boards and games with boards smaller than 8x8. A few multi-dimensional games beckon the intellectually courageous. The rook generalizes immediately to three dimensions. The bishop does not, and three- dimensional games employ two different pieces: a ‘bishop’ which moves in a plane with the normal bishop move, and a new piece, often called a ‘unicorn’, which advances through all three dimensions at once. (Imagine the piece in the middle of a cube. If it is a rook, it moves to the middle of a face of the cube; if a bishop, to the middle of an edge; if a unicorn, to one of the corners.) The queen is sometimes treated as R+B, more usually as R+B+U. When away from the edge, a rook has 6 directions of movement, a bishop 12, a unicorn 8, and a queen 18 or 26.
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