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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]).
The bishop and knight mate is one of the four basic checkmates and occurs when the king works together with a bishop and knight to force the opponent king to the corner of the board. The bishop and knight endgame can be difficult to master: some positions may require up to 34 moves of perfect play before checkmate can be delivered.
There are also positions in which a king and a knight can checkmate a king and a bishop, knight, or rook; or a king and a bishop can checkmate a king with a bishop on the other color of squares or with a knight, but the checkmate cannot be forced if there is no other material on the board (see the diagrams for some examples). [53]
With Delétang's triangle method, White confines the black king into a series of shrinking triangles; the bishop controls the hypotenuse of each triangle, while the knight and king control other squares that prevent the black king's escape. The winning procedure consists of forcing the king to move towards the corner so that the bishop can ...
The fact that the position is a double check is necessary in order for it to be a checkmate, and therefore some authors allow it as a pure mate. [f] In the second diagrammed position, Black has been mated by the knight at e3. [1] Every square in the king's field and the king's square itself are each covered exactly once, with one exception.
The ending of king and bishop versus king is a trivial draw, in that checkmate is not even possible. Likewise for king and knight versus king. Two knights cannot force checkmate against a lone king (see Two knights endgame). While there is a board position that allows two knights to checkmate a lone king, such requires a careless move by the ...
Philidor's mate, also known as Philidor's legacy, is a checkmating pattern that ends in smothered mate. This method involves checking with the knight forcing the king out of the corner of the board, moving the knight away to deliver a double check from the queen and knight, sacrificing the queen to force the rook next to the king, and mating with the knight.
When the moving piece moves to a square from which it threatens to inflict checkmate on the next move, the tactic is called a discovered attack with mate threat. A discovered checkmate itself is also possible. Less often, a move may discover multiple attacks, as in the first diagram where the knight's departure opens two crisscrossing diagonals.