Chess and Mathematics - 3 - Chess Forums

ynaliyev

Mar 20, 2017

0

#1

White to move and checkmate black king. It is not allowed to use the squares of the files f, g, h and the rectangle with diagonal a8-d7. Find the shortest solution.

It is interesting that the board in the picture can be divided into four equal shapes.

See the previous problem about the division of the board into equal shapes: https://www.chess.com/forum/view/general/chess-and-mathematics-2

You can also try to solve the problem if Black to move and cooperates with White to be checkmated as fast as possible:

Black wants to be checkmated

Of course Black can avoid checkmate by going to e8:

From E. Gik, Chess and Mathematics, Quantum Library (in Russian), vol. 24, 1983.

happyyellowhandball

Mar 21, 2017

0

#2

easy to stalemate...

ynaliyev

Mar 21, 2017

0

#3

@happyyellowhandball

Yes, if Black is to move. But if White is to move, then White wins.

happyyellowhandball

Mar 22, 2017

0

#4

I can't find it, but obviously I has to block the king from the hole...