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David Paulowich wrote on 2007-06-05 UTCExcellent ★★★★★

Fergus Duniho illustrates the 12 directions of movement on a hexagon board and inteprets them for Shogi pieces on his Hex Shogi page. In Hex Shogi 81 he copies the traditional Shogi setup to a 'tilted rectangle' made up of 81 hexagons. A few weeks ago I was looking at Duniho's game and thinking that it could be also played on a square board, with a little mathematical magic.

It should be possible to use Ralph Betza's work to accomplish this task. Start with a traditional Shogi board and pieces. Replace the Rooks with 'Rectahex Rooks' and the Bishops with 'Rectahex Bishops'. Looks like the Shogi Knight can be replaced by a Rectahex Knight, restricted to four forward Bison moves. In the final analysis, pieces are completely defined by their movement rules - the geometry of the board is merely a convenient aid to play. But I am not seriously recommending that anyone try to play a game of Rectahex Shogi 81.


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