A Convulted Chess Positioning

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elendiastarman
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A Convulted Chess Positioning

Post by elendiastarman » Mon Jan 12, 2009 3:02 am

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?
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uws8505
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Re: A Convulted Chess Positioning

Post by uws8505 » Sat Jan 17, 2009 11:30 pm

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 :?
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mart0258
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Re: A Convulted Chess Positioning

Post by mart0258 » Sun Jan 18, 2009 1:35 am

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.

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elendiastarman
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Re: A Convulted Chess Positioning

Post by elendiastarman » Sun Jan 18, 2009 2:59 am

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?
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richyfourtytwo
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Re: A Convulted Chess Positioning

Post by richyfourtytwo » Wed Feb 27, 2013 3:54 pm

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.
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