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Chess & Math - 4

Written by Administrator

Tuesday, 26 April 2011

If you like chess and/or Math and/or puzzles, here is a brain-teaser for you:

Imagine a 3X3 chess board with three White pawns on the first rank and three Black pawns on the last. White goes first. The player who can't make a move loses; the one who promotes a pawn wins. Who has a winning strategy in this game?

Related reading:
Chess & Math-1
Chess & Math-2
Chess & Math-3

Comments (6)

	1. Written by This e-mail address is being protected from spam bots, you need JavaScript enabled to view it on 14:08 26 àïðåëÿ 2011 ã.
	No one it's always a draw

	2. Written by This e-mail address is being protected from spam bots, you need JavaScript enabled to view it on 14:10 26 àïðåëÿ 2011 ã.
	No one No one. It ends in a stalemate.

	3. Written by This e-mail address is being protected from spam bots, you need JavaScript enabled to view it on 17:50 26 àïðåëÿ 2011 ã.
	Black Wins Black wins everytime if play right. No matter what movement was made by white.

	4. Written by This e-mail address is being protected from spam bots, you need JavaScript enabled to view it on 18:39 26 àïðåëÿ 2011 ã.
	Mr Black wins, white loses. If white advances a side pawn: - Black takes it. - White must take back to prevent promotion. - Black advances the other side. - White cannot make a move anymore, so loses. If white advances the middle pawn: - Black takes it. - White must take back to prevent promotion. - Black advances the other pawn and wins. http://eman.click-foto.net

	5. Written by This e-mail address is being protected from spam bots, you need JavaScript enabled to view it on 18:55 26 àïðåëÿ 2011 ã.
	Mr White cann not break through. Black wins.

	6. Written by This e-mail address is being protected from spam bots, you need JavaScript enabled to view it on 19:02 26 àïðåëÿ 2011 ã.
	Mr Black wins. White has two choices: a2 or b2 (c2 is the same as a3 by symmetry). If a2, Black takes. White must take back or face promotion on the next move. But if bxa2, Black plays c2, winning. If b2, Black takes, say axb2. White must recapture or face promotion. If White takes back with the a pawn, c2 wins. If White takes back with the c pawn, c2 results in a promotion.

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