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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]). Although there are checkmate positions, a king and two knights cannot force them against proper, relatively easy defense. [3]
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.
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 ...
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]
Combinations with insufficient material to checkmate include: king versus king; king and bishop versus king; king and knight versus king; king and bishop versus king and bishop with the bishops on the same color. Mutual agreement – a player may offer a draw to their opponent at any stage of a game. If the opponent accepts, the game is a draw.
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 chess endgame with a king and a pawn versus a king is one of the most important and fundamental endgames, other than the basic checkmates. [1] It is an important endgame for chess players to master, since most other endgames have the potential of reducing to this type of endgame via exchanges of pieces.
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 ...