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As this page shows the Knight's move on both square and hexagonal boards, it is worth noting how differently it plays on the two boards. As an elemental leaper it cannot 'lose the move' on a square (or square-based 3d) board - that is, it can only get to cells of a different colour in an odd number of moves, or the same colour in an even number of moves. On a hexagonal board it can return to its starting square in 3 moves as well as in 2, or an orthogonally adjacent on in 2 as well as in 3!