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The triangle mate involves a queen, supported by a rook on the same file two squares away, delivering checkmate to a king that is either at the edge of the board or whose escape is blocked by a piece; the queen, rook, and king together form a triangular shape, hence the name of the mating pattern.
Some such variants, like Capablanca chess (10×8) or chess on a really big board (16×16), preserve the castling movement of the rooks, meaning that the king moves a different distance along the back rank. In a few variants, most notably Wildebeest chess (11×10), the player may choose to move the king any distance and move the rook accordingly.
The diagram shows an example checkmate position. The white king is threatened by the black queen; the empty square to which the king could move is also threatened; and the king cannot capture the queen, because it would then be in check by the rook.
A back-rank checkmate is a checkmate delivered by a rook or queen along a back rank (that is, the row on which the pieces [not pawns] stand at the start of the game) in which the mated king is unable to move up the board because the king is blocked by friendly pieces (usually pawns) on the second rank. [45]
The rook cannot jump over pieces. The rook may capture an enemy piece by moving to the square on which the enemy piece stands, removing it from play. The rook also participates with the king in a special move called castling, wherein it is transferred to the square crossed by the king after the king is shifted two squares toward the rook.
It may move to any adjoining square; it may also perform, in tandem with the rook, a special move called castling. If a player's king is threatened with capture, it is said to be in check, and the player must remove the threat of capture immediately. If this cannot be done, the king is said to be in checkmate, resulting in a loss for that ...
Back rank checkmate – checkmate delivered by a rook or queen along a back rank (that is, the row on which the pieces (not pawns) stand at the start of the game) in which the mated king is unable to move up the board because the king is blocked by friendly pieces (usually pawns) on the second rank (Burgess 2009:16).
Scholar's mate is sometimes referred to as the four-move checkmate, although there are other ways for checkmate to occur in four moves.