but not vertically. The queen combines the moves of the rook and the bishop, and thus can move any number of steps in any orthogonal direction (identical to Gliński's rook). Other hexagonal variants The first published hexagonal chess variant was the commercial game Hexagonia, invented in 1864 by John Jaques & Son. The board has 127 cells; each side has 1 king, 2 cannons, 4 knights and 8 pawns. The winning objective is not checkmate, but rather to safely bring one's king to the central board cell. Siegmund Wellisch published a three-player Wellisch's hexagonal chess variant in 1912. The board is a regular hexagon with sides of length 6, which consists of 91 cells; however, it is oriented horizontally. Each side has eight pawns, three knights, two rooks, one queen, and one king. There are no bishops. The pawn moves and attacks one step in one of two orthogonally forward directions; there is no initial double-step, nor en passant capture. The king moves one step in any orthogonal direction. The knight jumps one step in any diagonal direction, and is thus colour-bound. The rook moves any number of steps in one of six orthogonal directions. The queen combines the moves of a rook and a knight. Castling involves the king and a rook simply swapping places. McCooey also developed a variant called Mini Hexchess, which uses a vertically oriented regular hexagon with sides of length 4, which consists of 37 hexes. Each player has a king, a knight, a bishop, a rook, and five pawns. Mathewson's hexagonal chess uses nine McCooey's pawns, which are set up at b1, c2, d2, e3, f4, g3, h2, i2, and k1 (for White; Black's are mirrored). For everything else it is identical to Gliński's. REX chess was invented in 1997 by Arnaldo Rodrigues D'Almeida. It is played on a horizontally oriented rectangular-shaped board, which consists of 85 hexes. Kings move one step in any orthogonal direction, pawns move and attack one step orthogonally forward (two directions); all other pieces behave as in Gliński's. Setup is similar to de Vasa's, except that each side has 15 pawns, ten on the second rank and five on the third. In 1998 Derick Peterson invented Grand Hexachess. This variant uses a regular hexagon with sides of length 7, which consists of 127 hexes; the board is oriented horizontally, with each player's pieces on opposite sides. Pawns then have