DVONN VS HEX

DVONN is a two-player strategy board game in which the objective is to accumulate pieces in stacks. It was released in 2001 by Kris Burm as the fourth game of the GIPF Project. DVONN won the 2002 International Gamers Award and the Games magazine Game of the Year Award in 2003. DVONN is played on a board with 49 spaces. The board has a hexagonal layout 5 hexes wide. One player has 23 black pieces to play, the other player has 23 white pieces. There are also 3 neutral red pieces, called DVONN pieces. The object of the game is to control more pieces than your opponent at the end of the game. The game starts with an empty board and proceeds in two phases. During the first phase, the players place their pieces on the board, starting with the three red DVONN pieces. Pieces can be placed on any unoccupied space. White starts, and the players alternate. So Black is the first to place a piece of his own color. The first phase ends when all pieces are placed on the board, filling it completely. The second phase involves the building of stacks of pieces (a single piece is also considered a stack) by moving stacks onto other stacks. A stack is controlled by a player if his color is on top. A stack is immobile if it is surrounded by 6 neighboring stacks. The white player has the first move in this phase. Any mobile stack of height n (with n > 0) can be moved (in a straight line) in any one of the 6 directions by exactly n spaces by the player controlling it, if it lands on another stack. Jumping over empty spaces is allowed, as long as the tower does not land on an empty space. Single DVONN pieces cannot be moved, but they can be once they are part of a stack. After each move, all stacks that are not connected via a chain of neighboring stacks to any stack containing a DVONN piece are removed from the board.

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Hex is a two player abstract strategy board game in which players attempt to connect opposite sides of a hexagonal board. Hex was invented by mathematician and poet Piet Hein in 1942 and independently by John Nash in 1948. It is traditionally played on an 11×11 rhombus board, although 13×13 and 19×19 boards are also popular. Each player is assigned a pair of opposite sides of the board which they must try to connect by taking turns placing a stone of their color onto any empty space. Once placed, the stones are unable to be moved or removed. A player wins when they successfully connect their sides together through a chain of adjacent stones. Draws are impossible in Hex due to the topology of the game board. The game has deep strategy, sharp tactics and a profound mathematical underpinning related to the Brouwer fixed-point theorem. The game was first marketed as a board game in Denmark under the name Con-tac-tix, and Parker Brothers marketed a version of it in 1952 called Hex; they are no longer in production. Hex can also be played with paper and pencil on hexagonally ruled graph paper. Hex-related research is current in the areas of topology, graph and matroid theory, combinatorics, game theory and artificial intelligence.

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