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Hex (or Polygon or Nash) is probably simplest abstract board game developed in 20th century. The object of the game is to make an uninterrupted connection of your pieces from one end of your board to the other before your opponent can. Look for example on one game from championship where horizontal player connected left and right side and won game.
Hex was created in 1942 by the Danish inventor Piet Hein, and independently by the American mathematician John Nash in 1948.