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Quarto is a board game for two players invented by Swiss mathematician Blaise Müller
It is played on a 4×4 board. There are 16 unique pieces, each of which is either:
*tall or short;
*red or blue (or a different pair of colors, e.g. light- or dark-stained wood);
*square or circular;
*hollow-top or solid-top.
Players take turns choosing a piece which the other player must then place on the board. A player wins by placing a piece on the board which forms a horizontal, vertical, or diagonal row of four pieces, all of which have a common attribute (all short, all circular, etc.).
Quarto is distinctive in that there is only one set of common pieces, rather than a set for one player and a different set for the other. It is therefore an impartial game.