CROSS AND CIRCLE GAME VS QUARTO

Cross and circle is a board game design used for race games played throughout the world. The basic design comprises a circle divided into four equal portions by a cross inscribed inside it like four spokes in a wheel; the classic example of this design is Yut. However, the term "cross and circle game" is also applied to boards that replace the circle with a square, and cruciform boards that collapse the circle onto the cross; all three types are topologically equivalent. Ludo and Parcheesi (both descendants of Pachisi) are examples of frequently played cruciform games. The category may also be expanded to include circular or square boards without a cross which are nevertheless quartered (Zohn Ahl), and boards that have more than four spokes (Aggravation, Trivial Pursuit). The game board for the Aztec game Patolli consists of a collapsed circle without an interior cross and thus has the distinction of being a cross that is a circle (topologically), without being a cross plus circle. Tokens are moved around spaces drawn on the circle and on the cross, with the goal of being the first player to move all tokens all the way around the board. Generally the circle of the cross and circle forms the primary circuit followed by the players' pieces. The function of the cross is more variable; for example, in Yut the cross forms shortcuts to the finish, whereas in Pachisi the four spokes are used as player-specific exits and entrances to the pieces' home. In non-race games (like Coppit and Trivial Pursuit) all paths may be undifferentiated in function.

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Quarto is a board game for two players invented by Swiss mathematician Blaise Müller. It is published and copyrighted by Gigamic. The game is played on a 4×4 board. There are 16 unique pieces to play with, 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; and 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.). A variant rule included in many editions gives a second way to win by placing four matching pieces in a 2×2 square. 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.

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