Two Knights Endgame
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Two Knights Endgame
The two knights endgame is a chess endgame with a king and two knights versus a king. In contrast to a king and two bishops (on opposite-colored squares), or a bishop and a knight, a king and two knights cannot checkmate against a lone king (however, the superior side can force stalemate). Although there are checkmate positions, a king and two knights cannot them against proper, relatively easy defense. Paradoxically, although the king and two knights cannot checkmate of the lone king, there are positions in which the king and two knights can force checkmate against a king and some additional material. The extra material of the defending side provides moves that prevent the defending king from being stalemated. The winning chances with two knights are insignificant except against a few pawns. These positions were studied extensively by A. A. Troitsky, who discovered the Troitsky line, a line on or behind which the defending side's pawn must be securely blockaded for the attac ...
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Chess Kll45
Chess is a board game for two players, called White and Black, each controlling an army of chess pieces in their color, with the objective to checkmate the opponent's king. It is sometimes called international chess or Western chess to distinguish it from related games, such as xiangqi (Chinese chess) and shogi (Japanese chess). The recorded history of chess goes back at least to the emergence of a similar game, chaturanga, in seventh-century India. The rules of chess as we know them today emerged in Europe at the end of the 15th century, with standardization and universal acceptance by the end of the 19th century. Today, chess is one of the world's most popular games, played by millions of people worldwide. Chess is an abstract strategy game that involves no hidden information and no use of dice or cards. It is played on a chessboard with 64 squares arranged in an eight-by-eight grid. At the start, each player controls sixteen pieces: one king, one queen, two rooks, two bi ...
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Fork (chess)
In chess, a fork is a tactic in which a piece multiple enemy pieces simultaneously. The attacker usually aims to capture one of the forked pieces. The defender often cannot counter every threat. A fork is most effective when it is forcing, such as when the king is put in check. A fork is a type of . Terminology A fork is an example of a . The type of fork is named after the type of forking piece. For example, a fork by a knight is a knight fork. The attacked pieces are ''forked''. If the King is one of the attacked pieces, the term ''absolute fork'' is sometimes used. A fork not involving the enemy king is in contrast a ''relative fork''. A fork of the king and queen, the highest material-gaining fork possible, is sometimes called a ''royal fork''. A fork of the enemy king, queen, and one (or both) rooks is sometimes called a ''grand fork''. A knight fork of the enemy king, queen, and possibly other pieces is sometimes called a ''family fork'' or ''family check''. Strategy ...
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Endgame Tablebase
An endgame tablebase is a computerized database that contains precalculated exhaustive analysis of chess endgame positions. It is typically used by a computer chess engine during play, or by a human or computer that is retrospectively analysing a game that has already been played. The tablebase contains the game-theoretical value (win, loss, or draw) in each possible position, and how many moves it would take to achieve that result with perfect play. Thus, the tablebase acts as an oracle, always providing the optimal moves. Typically the database records each possible position with certain pieces remaining on the board, and the best moves with White to move and with Black to move. Tablebases are generated by retrograde analysis, working backward from a checkmated position. By 2005, all chess positions with up to six pieces, including the two kings, had been solved. By August 2012, tablebases had solved chess for almost every position with up to seven pieces, but the positio ...
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