Connect Four (also known as Four Up, Plot Four, Find Four, Captain's Mistress, Four in a Row, Drop Four, and Gravitrips in the Soviet Union) is a two-...
Connect Four (also known as Four Up, Plot Four, Find Four, Captain's Mistress, Four in a Row, Drop Four, and Gravitrips in the Soviet Union) is a two-player connection board game, in which the players choose a color and then take turns dropping colored discs into a seven-column, six-row vertically suspended grid. The pieces fall straight down, occupying the lowest available space within the column. The objective of the game is to be the first to form a horizontal, vertical, or diagonal line of four of one's own discs. Connect Four is a solved game. The first player can always win by playing the right moves.
The game was first sold under the Connect Four trademark by Milton Bradley in February 1974.
Connect Four is a two-player game with perfect information for both sides. This term describes games where one player at a time plays, players have all the information about moves that have taken place and all moves that can take place, for a given game state. Connect Four also belongs to the classification of an adversarial, zero-sum game, since a player's advantage is an opponent's disadvantage.
One measure of complexity of the Connect Four game is the number of possible games board positions. For classic Connect Four played on 6 high, 7 wide grid, there are 4,531,985,219,092 positions for all game boards populated with 0 to 42 pieces.
The game was first solved by James Dow Allen (October 1, 1988), and independently by Victor Allis (October 16, 1988).
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QUARTO
Quarto is a board game for two players invented by Swiss mathematician Blaise Müller. It is published and copyrighted by Gigamic.
The game is playe...
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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