## A Convulted Chess Positioning

Decision and strategy, simulations and probability models, card and board games, ...
elendiastarman
Posts: 410
Joined: Sat Dec 22, 2007 8:15 pm

### A Convulted Chess Positioning

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
Posts: 58
Joined: Tue Sep 30, 2008 3:13 pm
Location: South Korea

### Re: A Convulted Chess Positioning

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
Math and Programming are complements

mart0258
Posts: 2
Joined: Sun Jan 11, 2009 3:21 pm

### Re: A Convulted Chess Positioning

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.

elendiastarman
Posts: 410
Joined: Sat Dec 22, 2007 8:15 pm

### Re: A Convulted Chess Positioning

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
Posts: 4
Joined: Fri Feb 15, 2013 3:32 pm

### Re: A Convulted Chess Positioning

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.