Bishop Holds the Diagonal to the Queening Square
Black to play and draw
PlayDown to a bishop against a knight and a passed pawn, the defender holds by pure geometry. Your bishop sits on the diagonal that leads to the pawn's promotion square, and from there it cannot be evicted.
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Bishop Holds the Diagonal to the Queening Square
Hold the draw against perfect play
Waking the engine…
The theory
A single bishop can hold against a knight and a passed pawn, and the method is one of the most reliable fortresses in the endgame.
Own the diagonal. Place the bishop on the diagonal that runs into the pawn's queening square. It guards both the square in front of the pawn and the promotion square at once.
Shuffle, do not panic. When the bishop is attacked, glide it along the diagonal or find another line that still controls the key square. The attacker cannot make progress.
The last resort. The bishop can always be traded for the pawn, reaching king and knight versus king, a dead draw. In this drill, hold the line and the half point is yours.