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One way of making it even more fluid would be to say that each piece is divided into its directional components. Rook is made up of right-moving rook, left-moving rook, forward-moving rook, and backward moving-rook, any part of which could break out and combine with say, a narrow left forward knight (the knight could be divided into 8 components). Now that would lead to some very strange and fun combinations of new pieces.