Questions tagged [chess]

A puzzle related to the game of chess. Questions about chess which aren't puzzles are off-topic but can be asked on Chess Stack Exchange.

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25
votes
4answers
2k views

Black wants to go first!

Billy and Matthew decide to play a game of Chess. They live far away, so they decide to do it online. Matthew wants to play first, but the game randomly gave him the color black (who goes second.) ...
5
votes
1answer
718 views

Find the secret phrase in this encrypted image (Part 4)

Welcome to the final stage of Quark's encrypted image puzzle series. I don't really like reusing old tricks so this puzzle will NOT require steganography tricks. There's not much else I can do to a ....
6
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3answers
452 views

How Many Speedy Knights on a Chess Board?

Similar to How Many Knights on a Chess Board? however speedy knights move the way the knight moves, then the way the knight moves AGAIN. However they cannot backtrack to their starting position. How ...
9
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6answers
2k views

The Bunny's Tour

The Bunny is a new chess piece. It can move in 2 different ways: Diagonally, but only exactly one space (so like a bishop with the limitations of a king). It can also "Bunny-Hop" over another bunny. ...
11
votes
4answers
706 views

Are there any puzzle/solitaire games based on chess?

First, I apologise for asking a question that's not strictly in the right Q&A format; I'm hoping there are quality answers anyway. Are there any puzzle or solitaire games based on chess? By this ...
6
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1answer
703 views

2 bishops versus a lone king

There are 4 pieces on the board, the white and black kings, as well as 2 white bishops (on differently colored squares). The only way a stalemate occurs is if the black king is not in check, but ...
5
votes
2answers
246 views

Brave Knight's Journey in N Dimensions

Queen Shayra does not have the most impressive following, but she intends to expand her influence. If she could settle down at the center of an N Dimensional 3-Cube and build a palace there, she would ...
7
votes
2answers
686 views

Solitaire Chess- Round 2

This is another Solitaire Chess puzzle like this earlier puzzle. Rules: Pieces move as in regular chess Every move must be a capture When there is only 1 piece left, you win.
16
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9answers
4k views

Solitaire Chess

A friend of mine got me Solitaire Chess for Christmas years ago. I set up the board below. Is it possible to solve it? If so, what is the solution? (No programs allowed- Use only your brain.) Rules: ...
11
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2answers
725 views

Musings at a chess tournament

Professor Halfbrain has spent his entire weekend watching the games at the local chess tournament. As usual, every two players played exactly one game against each other. A win yields 1 point, a draw ...
-3
votes
1answer
2k views

Placing n Queens on n x n board

This problem is known as n queens puzzle: How can we distribute n queens on a chess grid of n $\times$ n so that no queen can threaten another. Many solutions are possible for n > 4. To answer this ...
12
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5answers
10k views

How many paths are there through a chess board? [closed]

A pawn is placed on the lower left corner square of a standard 8 by 8 chessboard. A 'move' involves moving the pawn, where possible, either: one square to the right, one square up, or diagonally one ...
8
votes
3answers
3k views

Queen chasing a knight (chess pieces)

There is a player who controls only a queen, while his opponent controls a knight. Both pieces start from opposite corners of the board. The aim is to kill the knight, without having your queen killed....
21
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2answers
2k views

Rook game on chessboard

A rook stands in the lower left corner of an $m\times n$ chessboard. Alice and Bob alternately move the rook (horizontally or vertically, through any number of squares). As the rook moves, it leaves a ...
9
votes
1answer
413 views

Generalisation of tours on chessboards

It's well-known that a knight placed on one square of a chessboard can get to any other square, but a bishop can only reach half the squares from a fixed starting point. Another question on this site ...
16
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2answers
1k views

The Erasmus rook tour

Professor Erasmus has found a special way of moving a rook across a standard $8\times8$ chessboard that he modestly calls the "Professor-Erasmus-rook-tour". The professor claims that in this tour, ...
11
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2answers
1k views

Filling chess pieces in smallest area

You have 2 bishops, 2 rooks and 2 knights (of no colour). Place them in as small a rectangle as possible such that each piece can be captured by atleast 2 other pieces in a single move. Bishops have ...
26
votes
2answers
3k views

How many squares can 4 queens control?

Though there is no strict mathematical proof, it has been shown via brute-force that no arrangement of 4 or fewer queens can control every square on a standard 8x8 chessboard. So, out of the 64 ...
39
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4answers
2k views

Pythagorean Chess: Knishops

In chess, Knights moves to squares a distance $\sqrt5$ away. Bishops move distances $\sqrt2$, $\sqrt8$, $\sqrt{18}$, etc. Both pieces are restricted to non-integer distance moves. Enter the Knishop, ...
9
votes
1answer
627 views

Knights on a Chessboard II

It is well-known (and has been asked here earlier) how many knights can fit on a chessboard without any knights attacking any others. But what if each knight can attack at most one other? Idea from "...
1
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2answers
2k views

How Many Knights on a Chess Board?

How many knights can you fit on a chess board without any being threatened?
5
votes
2answers
394 views

Chess Pawn Capture Game!

Say there's an 8x8 board with the far ends completely occupied by pawns (White: a1 b1 c1 d1 e1 f1 g1 h1, Black: a8 b8 c8 d8 e8 f8 g8 h8). The aim of this game is to capture all but 1 pawn using the ...
8
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3answers
472 views

From Knights to Kings on a rectangle

In From knights to kings, we were asked On a NxN chess board $N^2$ knights are placed (one per cell). Each pair of knights, who control each other (i.e. one move away from each other) are friends. ...
9
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2answers
440 views

From knights to kings

On a NxN chess board $N^2$ knights are placed (one per cell). Each pair of knights, who control each other (i.e. one move away from each other) are friends. One day all knights are promoted to kings....
7
votes
2answers
776 views

How many bishops to walk across the board

N bishops are placed on a standard 8x8 chess board. Each bishop can move normally but after touching or moving over an square, that square is considered marked. A bishop cannot pass over or land on ...
-1
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1answer
303 views

Chessboard Domination - Adjusted Piece Values

No restriction on number of pieces of each type, but all pieces must be the same color. Pieces do not control the square they occupy. The pieces on the chessboard must, through their combined efforts,...
2
votes
2answers
744 views

How Many Pieces from Both Sides can you Place on a Chess Board Without Attacking a Side?

How many pieces can you organize on a Chess board without one side being attacked by the other? This scoring will be used to prove you have the highest. Piece cost: Pawn - 1 Knight - 3 Bishop - 3 ...
4
votes
1answer
616 views

How many squares can standard chess pieces control?

How many squares can you control with only one set of chess pieces of the same color? (8 Pawns, 2 Knights, 2 Bishops, 2 Rook, Queen and King) Edit: Pieces cannot attack (control) the square they are ...
4
votes
2answers
1k views

How Many Queens to Threat Themselves?

How many queens can be placed in a standard $8*8$ chessboard to threat each of them exactly once by other queens?
2
votes
1answer
643 views

How many Amazons on chessboard?

Queen is combination of Bishop and Rook and Amazon is combination of queen and knight. The question is how many Amazons can place on a standard chessboard that non of them attack each other without ...
5
votes
2answers
400 views

How many Queens on a board

Similarly to this question: How many Queens to threaten themselves. What it the maximum number of queens you can place on an 8*8 board such that each queen is attacked precisely twice: with no other ...
3
votes
1answer
251 views

Non-Diagonal Pointing Problem

You can see the rules for pointing problem at this article. It has been clarified that there is no solution to this question. But, what if we remove the diagonal rule? is there any solution?
3
votes
1answer
441 views

How to control the whole board with 8 standard pieces?

How to control the whole board with 8 standard pieces (one king, one queen, two rooks, two knights, two bishops)? P.S. A piece doesn't control a cell simply by staying on it, so another piece must ...
5
votes
3answers
964 views

Most moveable chess position

What would be a chess position, where a player (white or black) has a maximum possible number of different moves to make? There are two options: 1. The position must be possible to obtain in a ...