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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]
While the other basic checkmates [a] can be forced in O moves on an n × n board, Telesin's method gives an O(n 2) bound for a bishop and knight checkmate, though it has not been proven whether this is optimal. [9] [10]
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.
An unexpected result from empirical computer studies is that the princess (a bishop-knight compound) and empress (a rook-knight compound) have almost exactly the same value, even though the lone rook is two pawns stronger than the lone bishop. The empress is about 50 centipawns weaker than the queen, and the princess 75 centipawns weaker than ...
The Traxler Counterattack, also known as the Wilkes-Barre Variation, is a chess opening that begins with the moves: . 1. e4 e5 2. Nf3 Nc6 3. Bc4 Nf6 4. Ng5 Bc5!?. The opening is a variation of the Two Knights Defense [1] [2] where White has chosen the offensive line 4.Ng5, immediately attacking the f7-square with the knight and bishop, and Black has replied 4...Bc5, counterattacking the f2-square.
1.e4 e5 2.Nf3 Nc6 3.Bc4 Nf6 4.Ng5 d5 5.exd5 Nxd5 6.Nxf7: ECO: C57: Origin: Polerio vs. Domenico, Rome c. 1610: Named after: Italian dish ("Fegatelli" is pork liver sliced up, wrapped in fat netting and cooked over a fire; likewise Black's king is wrapped in White's mating net [1]) Parent: Two Knights Defense: Synonym(s) Fegatello Attack
More rarely, Boden's Mate can occur, for example, (a) where a White bishop on g6 delivers mate to a Black king on e8, which is hemmed in by a White bishop on a3, and its own queen on d8 and knight on d7 or (b) where a bishop on h6 delivers mate to a Black king on f8, which is hemmed in by a White bishop on c4, and its own queen on e8 and bishop ...
In chess, a smothered mate is a checkmate delivered by a knight in which the mated king is unable to move because it is completely surrounded (or smothered) by its own pieces, which a knight can jump over. The mate is usually seen in a corner of the board, since only three pieces are needed to surround the king there, less than anywhere else ...