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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.

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29
votes
4answers
12k 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 ...
18
votes
1answer
783 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 ...
8
votes
2answers
751 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 ...
2
votes
2answers
2k views

How Many Knights on a Chess Board?

How many knights can you fit on a chess board without any being threatened?
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 ...
18
votes
4answers
470 views

Reconstructing A Chess Game #1

My (very) young pupil, Magnus, is playing 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 ...
8
votes
2answers
398 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 ...
10
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. ...
31
votes
2answers
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?
13
votes
4answers
1k views

No moves at all, not even to put yourself in check

Here, white is stalemated. The king is not in check, but white has no legal moves. Not because any move white makes would put the king in check -- which is how stalemates normally happen -- but ...
6
votes
2answers
2k 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
1k 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....
5
votes
1answer
200 views

Piece-Drop Mate

Find a way to checkmate Black by placing pieces! You must use as little material as you can(in points). You cannot place more pieces than allowed in a regular game of chess! The Position Good luck! ...
42
votes
7answers
7k 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 - ...
38
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 ...
25
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 ...
16
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
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2answers
1k 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 ...
13
votes
3answers
1k views

Crossword gone overboard

This puzzle is part 24 of Gladys' journey across the globe. Each part can be solved independently. Nevertheless, if you are new to the series, feel free to start at the beginning: Introducing Gladys. ...
13
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
526 views

A delve into extraordinary chess problems: Self-Stalemate 2

Following on from a slightly easier puzzle here (this series continues here). This is a puzzle by W. A. Shinkman in 1924: White to play and force Black to stalemate him in nine moves. As a ...
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 ...
12
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 ...
8
votes
1answer
229 views

A delve into extraordinary chess problems: Selfmate 1

[This series continues from a harder puzzle here and continues in this puzzle] Here we have an easier but still interesting selfmate in 5. This is a puzzle by A. Rubin found in The Book of ...
31
votes
2answers
3k views

There is only s̶i̶x̶t̶y one place he can be

This puzzle is not mine, although I don't have any reference as to where it originated from. I discovered it when I was a student, some fifteen years ago. It has been among my favourite chess puzzles ...
9
votes
2answers
449 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
919 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 ...
3
votes
1answer
261 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 ...
16
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
532 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 ...
8
votes
3answers
359 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 ...
6
votes
3answers
1k views

What do chess and wordoku have to do with each other? - Clue Thirty-One

<<---First clue <---Previous clue (?) "Aha! That's it," you exclaim, still holding the papers. "The answer is obviously [redacted]." Having figured out the answer, you start looking over the ...
5
votes
2answers
551 views

Knights covering a 10x10 chess board

What is the minimum number of knights you need to place on a 10x10 chess board, such that every empty cell is attacked by at least one knight? Good luck!
4
votes
3answers
118 views

Piece-drop Mate #2

Piece-Drop Mate #1 Here's a second piece-drop mate, but with a twist. Just like last time, you may only place the maximum number of pieces allowed on the board in a regular game of chess. You're ...
2
votes
2answers
203 views

Magical Knight Moves with Effortless Ease in his Magical Kingdom

Magical Knight knows every Square of his Magical Kingdom. In many respects, he is like any other knight...Literary,Prime, Normal(makes same allowed chess moves). He is people Knight . As he traverses ...
75
votes
3answers
8k views

Can White Castle?

This is the first chess puzzle I composed in the retrograde genre. I originally posted this in a chess dedicated forum. Hope you like it! In the following position, is it possible that White could ...
23
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 ...
23
votes
2answers
806 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 ...
46
votes
2answers
3k views

Can you stop the rambling rook?

This is a chess puzzle someone showed me a long time ago. If you already know this puzzle please give the others a chance to solve it first. This puzzle was originally created by Otto Gallischek and ...
33
votes
2answers
747 views

lolcatz can haz ur infinit cheeseboard

This is a problem on an infinite chessboard with pieces called lolcatz. They can move like queens or knightriders, but have a strange disadvantage... ... you've never heard of knightriders? Well, ...
29
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" (...
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 ...
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: ...