If you are good enough, is it possible for this game to go on forever? Heidi Burgiel, a mathematician at the Geometry Center in Minneapolis, showed that a certain sequence of tetrominos would, despite a player’s best efforts, result in their losing the game. Her theorem proves that if the player encounters alternating Z pieces, then whatever they do to rotate and stack them, the game will be lost after placement of at most 69,600 pieces.

