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  2. Wikipedia:Reference desk/Archives/Mathematics/2024 August 6 ...

    en.wikipedia.org/wiki/Wikipedia:Reference_desk/...

    We know from the 1983 work of J. Telesin that king, bishop, and knight can force mate against the lone king on any square n×n board in O(n 2) moves (a clear presentation), provided that the board has a corner of the colour the bishop travels on.

  3. Checkmate pattern - Wikipedia

    en.wikipedia.org/wiki/Checkmate_pattern

    In a two knights endgame, the side with the king and two knights cannot checkmate a bare king by force. This endgame should be a draw if the bare king plays correctly. A mate only occurs if the player with the bare king blunders. In some circumstances, if the side with the bare king instead has a pawn, it is possible to set up this type of ...

  4. Checkmate - Wikipedia

    en.wikipedia.org/wiki/Checkmate

    The two bishops checkmate is the checkmate of a lone king by the opponent's two bishops and king. [b] The superior side is able to drive the lone king into a corner and force mate using the two bishops and king collaboratively. The only stipulation is that the two bishops must move on opposite-colored squares.

  5. Bishop and knight checkmate - Wikipedia

    en.wikipedia.org/wiki/Bishop_and_knight_checkmate

    In chess, the bishop and knight checkmate is the checkmate of a lone king by an opposing king, bishop, and knight.With the stronger side to move, checkmate can be forced in at most thirty-three moves from almost any starting position.

  6. Two knights endgame - Wikipedia

    en.wikipedia.org/wiki/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 force checkmate against a lone king (however, the superior side can force stalemate [1] [2]).

  7. Pure mate - Wikipedia

    en.wikipedia.org/wiki/Pure_mate

    Pure mate is one of a few terms used by composers to describe the properties of a checkmate position; related concepts include economical mate, model mate, and ideal mate. An economical mate is a position such that all of the attacker's pieces [ a ] contribute to the checkmate, with the (optional) exception of the king and the pawns.

  8. Sacrifice (chess) - Wikipedia

    en.wikipedia.org/wiki/Sacrifice_(chess)

    Sacrifices leading to checkmate are typically forcing, and often checks, leaving the opponent with only one or a few options. Avoiding loss The counterpart to the above is saving a lost game. A sacrifice could be made to force stalemate or perpetual check, to create a fortress, or otherwise force a draw, or to avoid even greater loss of material.

  9. Chess puzzle - Wikipedia

    en.wikipedia.org/wiki/Chess_puzzle

    While a chess puzzle is any puzzle involving aspects of chess, a chess problem is an arranged position with a specific task to be fulfilled, such as White mates in n moves. . Chess problems are also known as chess compositions because the positions are specially devised, rather than arising from actual gam