354.--AN AMAZING DILEMMA.

From Amusements in Mathematics by Henry Ernest Dudeney.

Mr Black left his king on his queen's knight's 7th, and no matter what piece White chooses for his pawn, Black cannot be checkmated. As we said, the Black king takes no notice of checks and never moves. White may queen his pawn, capture the Black rook, and bring his three pieces up to the attack, but mate is quite impossible. The Black king cannot be left on any other square without a checkmate being possible.

The late Sam Loyd first pointed out the peculiarity on which this puzzle is based.

355.--CHECKMATE!

Remove the White pawn from B 6th to K 4th and place a Black pawn on Black's KB 2nd. Now, White plays P to K 5th, check, and Black must play P to B 4th. Then White plays P takes P _en passant_, checkmate. This was therefore White's last move, and leaves the position given. It is the only possible solution.

Read and discuss in amphi

A place to think
Built for depth, not dopamine. Come thinkwith us
explore the betaDither Right Arrow
FIND US
amphi.
354.--AN AMAZING DILEMMA.: Amusements in Mathematics by Henry Ernest Dudeney | amphi