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Overprotection Chess. If an attacked piece is more often defended than it is attacked, it gains extra powers. (8x8, Cells: 64) [All Comments] [Add Comment or Rating]

Peter Aronson wrote on Tue, Apr 9, 2002 03:41 PM UTC:

Busy editorial beavers have made the requested edits to this page, all the while whistling the 'Happy Editor' song. Ok, I read the part about having to be attacked to be overprotected, but somehow it didn't sink in. But there's still a lovely paradox here. Consider: <blockquote> White has Pawns on a3, b4 and c3, and a Rook on b1. Black has Pawns on a6, b5 and c6, a Rook on b8, and a Bishop on d6. </blockquote> The white Pawn on b4 is attacked by one piece, and defended by three, so it can move and capture as a Wazir. Which means it attacks the black Pawn on b5. The black Pawn is then attacked by one, and defended by three, so it can now move and capture like a Wazir. But this reduces the white Pawn on b4 from being overprotected by two to being overprotected by one, which means it can no longer capture the black Pawn at b5. But if it can not capture the black Pawn at b5, the black Pawn isn't attacked, and so can't capture the white Pawn which suddenly overprotected by two, which means it can capture the black Pawn. But it can't . . .