being the central and widest rank. That is, the territories of First (top right player) and Last (top left player) span ranks a through i, and that of Middle (bottom player) occupies the three ranks k, l, m. The numbered "columns" are the rows that run from top left to bottom right from the viewpoint of Middle. They are given the numbers 1 to 13 from right to left, with 7 being the central and longest column. That is, First occupies columns 1 to 3, while the territories of Middle and Last span columns 5 through 13. The Pleasure Garden is thus cell 7g; the corners are at 1a, 1g, 7a, 7m, 13g, 13m; and at setup the three kings occupy 1d, 10m, and 10d; and the three knights 3e, 9k, and 9e. Movement on a hexagonal board Because each cell of a sannin shogi board is a hexagon rather than a rectangle as in other shogi variants, the pieces will necessarily move differently. Instead of four faces with adjacent squares and four corners, for eight directions total, there are six each for a total of twelve. However, except for castling and the promoted king, which is reminiscent of the queen of Western chess (indeed, it moves like the queen in Gliński's hexagonal chess), the pieces are fair analogues of their standard-shōgi counterparts. Except when castling, all pieces move in straight lines. These may be step moves, where a piece moves to the nearest cell in a particular direction, or ranging moves, where a piece may continue in a particular direction as long as it does not pass through an occupied cell. There are two kinds of paths along which pieces move: Passing through one of the faces of the starting cell to one of the six adjacent cells, or through this adjacent cell to continue straight in that direction. These six contiguous paths are called orthogonals in this article. They are equivalent to the four orthogonal directions on a rectangular board. Passing through one of the corners of the starting cell and between two adjacent cells to reach one of the six cells just beyond, or continuing in a straight line in that direction, alternatingly passing through and passing between the cells. These six skipping paths are called diagonals in this article. They are equivalent to the four diagonal directions on a rectangular board. A piece may travel along