The secret of Grandmaster play is to make use of the hidden 65th square on the chess board. I'm sure you've all had the experience of having a piece come at you, apparently out of nowhere, to take one of your army. That piece came from the 65th square.
I can't show you the square, because it's not on the usual 8x8 grid system, but I can show you that it is there. Watch...
Take a 8x8 chessboard (64 squares, right?), and divide it up in a special way:
5 3 | |||
8 |
3 5 |
|
|
3 5 |
These can be rearranged to make a rectangle.
5 3 5 | ||
5 |
5 |
|
8 5 |
But of course, the 5x13 rectangle has 65 squares. I'm not sure which one is the extra square...
(Post inspired by Ivor Annetts, but puzzle devised by Sam Loyd, I believe.)