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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.

28
votes
4answers
11k views

How many chess pieces does it take to “cover” all spaces on a chessboard?

Given an 8x8 chessboard, your goal is to "cover" each space on the board with the fewest possible number of pieces. A space is "covered" if there is a piece on it, or if a piece on the board can be ...
15
votes
0answers
647 views

Peaceful Encampments

This math puzzle is due to Donald Knuth (as far as I know; maybe he got it from someone else) circa 2014. Consider a plain represented by the unit square. On this plain we want to “peacefully ...
29
votes
5answers
3k views

Switch The Knights

On a small $ 4 \times 3$ chessboard, the top row is filled with black knights and the bottom row with white knights. On each move, you may move one knight (as it moves in chess) to an unoccupied ...
8
votes
2answers
391 views

The Torn Score Sheet

I found half of a chess score sheet lying on one of the tables at the recent tournament I attended. It was ripped in half at the middle so only White's moves were visible. I was wondering if it would ...
20
votes
2answers
1k views

Desegregate the Knights

You are given a 3 by 3 chessboard with a knight on each corner, where the knights in the top row are black and in the bottom row are white. On each turn, you may move a knight of either color (the ...
28
votes
1answer
3k views

How many queens can be on a chessboard without attacking each other?

What is the maximum number of queens that can be placed on a standard 8x8 chessboard such that no one of them is capable of attacking any of the others in a single move?
9
votes
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. ...
8
votes
2answers
734 views

Reconstructing A Chess Game #2

My 5yo pupil, Magnus, is playing his first chess tournament. Although I missed his first game, @Elder helped me reconstruct this important first win from the few clues I could collect. Alas, the ...
6
votes
2answers
1k views

Find the shortest chess game with 18 queens? [closed]

From the *starting position of a chessboard, you need to move the pieces to end up with 18 Queens following the chess rules at all times (this includes white moves first). The solution is the series ...
16
votes
3answers
875 views

Checkmate all the kings #1

The purpose of this puzzle is to find the minimum number of moves to checkmate all the kings. RULES You are playing as White and you can make as many moves as you want before Black's turn....
1
vote
2answers
2k views

How Many Knights on a Chess Board?

How many knights can you fit on a chess board without any being threatened?
40
votes
7answers
6k views

How many Chess Pieces are needed to control every square on the board? No Piece Restriction

You may use as many pieces as you like. Pieces do not control the square they occupy. Accepted Answer goes to the person that has the least score. Piece cost: Pawn - 1 Knight - 3 Bishop - 3 Rook - ...
37
votes
6answers
2k views

Chess Fortnight is finally over!

(Note: the backstory here may or may not be entirely fictitious.) The fortnightly chess theme is finally over! I couldn't stand it. It was chaos! Pieces moving around in all the wrong ways... I was ...
24
votes
4answers
1k views

Introducing: FootChess!

Imagine if your chess pieces got bored of their little war games, and decided to play something a bit different. The rules are like Chess except as follows: There is a Ball piece that starts in ...
15
votes
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: ...
41
votes
1answer
3k views

Crippled King Crossing a Canyon

A chess king has been injured in battle against an evil wizard, and can no longer move northeast or southwest. This king is on the North rim of a canyon, and must flee to safety on the South rim. ...
17
votes
4answers
1k views

Copycat Chess (Part 3/3)

After finishing the mating move in the second game, Li Chai looked at the mandarin and asked: What do you say now? Kao Tse answered: It's not much of an achievement if you take my mating piece. ...
16
votes
2answers
974 views

Copycat Chess (Part 2/3)

The mandarin stared bewildered on the chess board after Li Chai finished his winning move: But it didn't last for long. He grabbed his queen and repeated Li Chais last move while announcing: What ...
18
votes
1answer
1k views

Copycat Chess (Part 1/3)

This puzzle series is based on a chess story from the year 1934. It is also the first entry for the new fortnightly topic challenge. Li Chai was known as the best chess player in all villages in the ...
15
votes
3answers
421 views

Reconstructing A Chess Game #1

My young pupil, Magnus, just played his first chess tournament! I went for a coffee at the beginning of his first game ; he was White against a boy slightly older than him, maybe a 6yo, so he was a ...
12
votes
5answers
4k views

How many Chess Pieces are needed to control every square on the board?

You may only use pieces in the original set, and all your pieces must be the same color. The king is not allowed. Pawns do not get promoted. Pieces do not control the square they occupy. Accepted ...
12
votes
3answers
2k views

The knight's game

Alice and Bob play the following game on a standard $8\times8$ chessboard. In the very beginning, Alice picks a square on the chessboard and places a knight on this square. Then Bob and Alice ...
11
votes
4answers
1k views

Get 6 pawns in file A or H

This is somehow inspired by my other chess related question: Possible pawn combinations How can you get 6 pawns (white or black) on a chessboard on the files A or H using legal moves? Start with a ...
9
votes
2answers
438 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
1answer
892 views

On 8x8 board, a knight is on the second square of the last row. Only moving upwards, how many routes to the top?

In chess, a knight moves in L-shaped jumps consisting of two square along a row or column plus one square at a right angle. It can only move upwards. How many routes can it take to any square on the ...
15
votes
4answers
1k views

Discrete Peaceful Encampments: 9 queens on a chessboard

Here's a discrete variation of yesterday's puzzle Peaceful Encampments. You have 8 white queens and 8 black queens. Place all these pieces onto a normal 8x8 chessboard in such a way that no white ...
8
votes
2answers
494 views

Checkmate all the kings #2

Following the rules created by Lord of dark in this puzzle, the idea is to find the minimum number of consecutive white moves to checkmate all the black kings (in this case just 1). You cannot make a ...
7
votes
3answers
300 views

Fabi and Mag played chess again

Fabi and Mag love chess, and I love to watch them playing together. I am not such a strong player myself, but I am an excellent spectator! The three of us were having a nice evening around a chess ...
3
votes
1answer
257 views

Can the rook pass every square just once?

I had a math teacher in high school who gave us a puzzle to solve. We had to draw a chessboard with one piece that could only move in straight paths. Diagonal movement was forbidden. The goal was to ...
23
votes
2answers
773 views

Slightly Odd Sudoku

Someone I find very trustworthy continues to insist that this is a valid Sudoku board. It's been a while since I've played, but surely there's a couple of things off here, right? Alright, so that ...
21
votes
5answers
4k views

Why isn't this chess puzzle trivial?

This chess puzzle has become popular in the last few days: But doesn't the white king just need to wander to where the cross is, then move the white pawn forward, then the black bishop takes it and ...
21
votes
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 ...
46
votes
2answers
2k views

A 16 Clue Sudoku Puzzle (but the kings can't be in check)

An entry in the 19th fortnightly challenge... Above is a 9x9 "chess" board with some pieces already laid out, your goal is to fill the board completely, following standard Sudoku rules (i.e. every ...
32
votes
1answer
8k views

Can a chess player promote all pawns to queens?

In standard chess rules, a pawn is promoted if it reaches the far side of the board. Usually, the pawn's owner chooses to promote it to a queen. Is it possible for one player to eventually promote ...
29
votes
5answers
3k views

“Murder!”, said the knight

It is the middle of a moonless night when the people of Birmingham are awakened by a scream coming from the streets. Someone has been murdered, they soon hear, but no body was found. Everyone gathers ...
28
votes
1answer
1k views

Conway's Game of Knights

You have 1 chess piece: The Knight The board: Conway's Game of Life Your goal: Survive Basically, you control a standard chess Knight. You are only allowed to move to cells considered "live" (...
26
votes
3answers
3k views

How did four chessmen disappear?

I was visiting two friends yesterday and found them sitting at a chess table. After a glance at the board, I thought I had interrupted them when they were installing the starting position and I said: ...
20
votes
4answers
3k views

The Knight and the Maze

Shown below is a grid of blue and yellow squares with a knight in the upper left hand corner and green square in the lower right hand corner. Your task is to guide the knight from its starting ...
18
votes
2answers
2k views

Fairy Chess #1- The Mastermind

(Fairy chess is a general term for any kind of chess variant with pieces that aren't used in the normal game) (Inspired by The Black Prowler (chess)) In this variant, white has their entire army ...
27
votes
2answers
2k views

Knights on a Torus

An 8×8 chessboard is in the shape of a torus. (This means that the board "wraps around" - you can go left from a2 and come out on h2, for instance. It also works vertically - you can go up from f8 and ...
20
votes
2answers
2k views

A Warped Chess Maze

A chess maze is a kind of chess puzzle where: Only one side moves (and that side usually only has one piece). That side must capture a piece with every move. The goal is to capture all of ...
20
votes
6answers
835 views

Fit the most chess pieces on a board with these rules

Fit the most pieces on a chess board. You are only allowed to place Rooks, Knights and Bishops. The number of rooks, knights and bishops must be approximately equal (specifically, the number of rooks,...
19
votes
1answer
905 views

The Black Prowler (chess)

The Prowler is a powerful piece in an alternative version of chess. In the standard board depicted below, we have an initial setup of white pieces and just one black prowler. The special rules are ...
17
votes
1answer
1k views

Megan mated by a king move

"Been playing some chess with my husband recently", my friend Megan began, as we sat with our drinks in Coffee Monarchy. "How'd you get on?" I asked. "Didn't get off to a good start, I'm afraid. In ...
9
votes
3answers
641 views

Reconstruct a game of Loser Chess

In loser chess, the rules are the same as in classical chess but for the following points: The king behaves just as any normal piece and can be captured. There is no check, no checkmate, and the king ...
8
votes
3answers
872 views

Possible pawn combinations

This may seem simple, but I have a problem calculating it. It may be because it's Monday morning. How may possible valid combinations of one color pawn (white or black, your choice) positions are ...
33
votes
3answers
5k views

Mate in one with NO PIECES?

The following pictures depict chess positions one move before white checkmated black: The problem is, I seemed to have completely lost which pieces each letter/number represents. All I know is that ...
30
votes
5answers
3k views

Biggest army on a chessboard

Reminder: Everybody knows that we can place 8 queens in a chessboard without threatening each other (see here). Same reasoning can be applied for knights, bishops, rooks and kings. Giving ...
26
votes
7answers
8k views

Two Knights, two Bishops, two Rooks and two Kings on a 4x4 chessboard

Place two Knights, two Rooks, two Bishops and two Kings on a 4x4 chessboard, so that: 1) The Kings are not attacked at all. 2) All other pieces are attacked exactly once. Ignore color, so every ...
12
votes
2answers
644 views

Highest number of mates

In chess, what position has the highest number of checkmates in 1 move for a given side? You can have as many of each piece as you want, except for the king (you get exactly one). Bishops can be same ...