Chess 'n' Checkers Puzzles

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Knight in a Square
Knight in a Square
by The Grabarchuk Family
If the knight moves normally, which cell could the knight never reach? Note, in chess, a knight moves two squares in one direction and then one square in a perpendicular direction.
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The 7 Knights Problem
The 7 Knights Problem
after Martin Gardner
It is easy to place 7 chess knights on a 3x3 board. But it becomes a little bit different when there is a rule to move the knight after you place it on the board, don't you say?
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The Four Queens
The Four Queens
after Martin Gardner
Development of the chess queen theme. This time it's in the little shift that no queen can attack another - simply let 'em live in peace on a small chessboard.
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Six Knights
Six Knights
by Henry E. Dudeney
Foxes and Geese is another popular version of this chess black and white knights exchange puzzle that has to be completed in fewest possible moves.
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The Two Queen Question
The Two Queen Question
A minimax problem: find the maximum and the minimum number of attacked vacant cells of a standard chessboard when there are only two chess queens on it.
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The Knight's Tour 2
The Knight's Tour 2
by Martin Gardner
A chess knight wants to travel around a 6x6 board making the longest possible tour without self-crossings of his route. Can you help him to do it?
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Three Queens
Three Queens
by Martin Gardner
Is it possible to place three chess queens on a single non-standard board so that all vacant cells are attacked? How many ways to do this can you find?
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The Knight's Tour
The Knight's Tour
after Martin Gardner
Make a knight's tour on a small chess board visiting every cell only once and then returning to the initial cell. You may start from any cell of the board.
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Unattacked Cells
Unattacked Cells
after Martin Gardner
Do you believe five chess queens placed on a 5x5 board create a unique pattern when a maximum number of unattacked vacant cells is left?
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Four Knights
Four Knights
by Paulo Guarini di Forli
Find the shortest possible way to change the knights - two black knights with two white ones. Of course, just the chess knight's moves are allowed.
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Last Updated: October 24, 2012 top
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