In Galaxis, both players attempt to locate four missing spaceships. The game is played on a grid and mediated by a computer. Each turn, a player may enter a set of coordinates on the grid. The computer will tell him whether he has found one of the ships. If not, it will tell him how many spaceships are on the same line (horizontal, vertical or diagonal) as the coordinates. Using pegs, the player can register his results.

Both players have their own results board, which are placed back-to-back, so they cannot see eachother's results. First player to locate all four ships wins the game.

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