Everybody and his uncle knows about the old problem of placing 5 queens on the board so that every square is either occupied or attacked. Too easy. There are 12 distinct basic solutions, 92 in all.
But how about doing the same with just 4 queens and a knight ? Can you place 4 queens and a knight so that every square on the board is either occupied or attacked ?
There is only one basic solution.(scroll down for solution-but only after you have tried this for 10 minutes on your chessboard)
Can you place 4 queens and a knight so that every square on the board is either occupied or attacked ?
Yes, you can, as seen in the diagram above. Although there are several solutions to this kind of problem when given 4 queens and any other piece (king, queen, rook, bishop, pawn), this is the only known arrangement with a knight.
Everybody and his uncle knows about the old problem of placing 5 queens on the board so that every square is
either occupied or attacked. Too easy. There are 12 distinct basic solutions, 92 in all.
But how about doing the same with just 4 queens and a knight ?
Can you place 4 queens and a knight so that every square on the board is either occupied or attacked ?
There is only one basic solution.(scroll down for solution-but only after you have tried this for 10 minutes on your chessboard)
Can you place 4 queens and a knight so that every square on the board is either occupied or attacked ?
Yes, you can, as seen in the diagram above.
Although there are several solutions to this kind of problem when given 4 queens
and any other piece (king, queen, rook, bishop, pawn),
this is the only known arrangement with a knight.