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A Convulted Chess Positioning

Posted: Mon Jan 12, 2009 3:02 am
by elendiastarman
Is it possible to position all chess pieces on the board such that all pieces defend at least one piece and attack at least one piece?

Re: A Convulted Chess Positioning

Posted: Sat Jan 17, 2009 11:30 pm
by uws8505
Do you mean
8 pawns, 2 rooks, 2 bishops, 2 knights, 1 queen and 1 king
or two sets of the above(black and white)?

Anyway, it is easily seen that it is impossible to defend an attack by a knight because it can jump over others. But I can't see anything else :?

Re: A Convulted Chess Positioning

Posted: Sun Jan 18, 2009 1:35 am
by mart0258
If a piece defends another piece, it provides support against incoming attackers - if the target gets taken, the defender can immediately capture the attacking piece. Blocking a line of attack doesn't count as defense.

Obviously, there's a constraint on pawns and kings, if you need a "legal" layout.

Re: A Convulted Chess Positioning

Posted: Sun Jan 18, 2009 2:59 am
by elendiastarman
mart0258 is right. As for the kings, they could simply attack a piece other than a queen. Whether or not they could actually take the piece doesn't matter. As for pawns, how so?

Re: A Convulted Chess Positioning

Posted: Wed Feb 27, 2013 3:54 pm
by richyfourtytwo
If you want a position that can actually be reached by legal play from the ordinary start position and still contains all 32 pieces it is not possible to place them in the requested way. The reasoning:

If all 32 pieces are still in play that means no capturing has taken place. Hence the pawns in the a and h columns are still in those columns. Pawns in these columns can only attack/defend one square, so they can't attack one piece and defend another at the same time.