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The board is setup as shown in the diagram.
Byzantine Chess is played very much like modern chess, with the following exceptions:
There are three ways to win. Getting the king in checkmate. Stalemate (when your opponent can not move any of their pieces) is also considered a win, although not as desirable as a checkmate. The third way to win is called bare king, and occurs when a player has lost all other pieces. Unless they can bare the other king on their next move (making the game a draw) they have lost.
Here is a brief review of relevant modern chess rules: