All Questions
Tagged with checkerboard construction
9 questions
18
votes
1
answer
2k
views
Place some or all of the White Chess pieces on a chessboard in such a way that none of them can legally move
Place some or all of the White Chess pieces on a standard chessboard in such a way that no piece can legally move.
If you use two bishops they must be on different colored squares.
No pawn can be on ...
- 21.4k
1
vote
1
answer
169
views
Place the given chess pieces on the given chessboards so that no piece attacks another
Beginner puzzles
These puzzles are intended to be suitable for people who are new to puzzle solving.
Clarification: Both experienced solvers and new solvers are welcome to post solutions to these ...
- 21.4k
5
votes
1
answer
584
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Where should the chess pieces be placed in 4x4, 6x6 and 9x9 chessboards?
Here are 3 related chess problems. The color of the pieces is not important. Unlike a legal chess game there are no limits to the number of pieces of each type in these puzzles.
Puzzle 1: On a 4x4 ...
- 21.4k
7
votes
3
answers
3k
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How can 4 chess queens attack all empty squares on a 6x6 chessboard without attacking each other?
How can 4 chess queens be placed on a 6x6 chessboard so that every empty square is attacked by at least one queen AND no queen attacks another queen.
Clarification: Although I did not mention it in ...
- 21.4k
6
votes
2
answers
449
views
Pawns and a chessboard with no three aligned
This little problem crossed my mind and appeared to be not quite trivial.
How can you place P pawns on a chessboard with the constraint that no pawn is exactly midway between two other pawns?
Sure ...
- 31.4k
14
votes
4
answers
2k
views
The Game of Golden Squares
On a magic chessboard of infinite size, the squares are either wooden or golden. If 4 or more of its 8 neighbors (a king's move away) are golden, a wooden square becomes golden the next day. Golden ...
- 6,976
32
votes
5
answers
5k
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How can 3 queens control the white squares?
It is well known that there is no way of arranging 4 queens on a checker board in such a way that every square is occupied or threatened.
Now consider a slight variation where we only need to cover ...
- 10.4k
5
votes
4
answers
467
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Most Captures Chess
In Most Captures Chess puzzle, you will need to provide a legal game where it is Blacks to play and where they have the most different ways to capture a White piece.
For instance, the next game allows ...
- 6,518
5
votes
3
answers
366
views
A tribute to "Most ways to uncheck the king"
Today, we had the great privilege to see @Paul Panzer's answer being ticked at @thesilican's absorbing puzzle.
I here propose a variant of his puzzle where it's not mandatory to use a legal chess game....
- 6,518