Questions tagged [chess]

A puzzle related to chess, a two-player board game with white and black pieces of varying ranks.

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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 ...
Xynariz's user avatar
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22 votes
8 answers
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Queens attacking exactly one queen

What is the most number of black and white queens that you can place on a standard 8x8 chess board, such that each queen attacks exactly one opponent queen?
Dmitry Kamenetsky's user avatar
4 votes
1 answer
2k views

How Many Knights on a Chess Board?

How many knights can you fit on a chess board without any being threatened?
warspyking's user avatar
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24 votes
1 answer
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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 encamp” ...
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14 votes
3 answers
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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 ...
deep thought's user avatar
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8 votes
2 answers
972 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 ...
Evargalo's user avatar
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5 votes
1 answer
262 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! ...
MakeHellTal's user avatar
44 votes
8 answers
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 - ...
warspyking's user avatar
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31 votes
5 answers
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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 ...
Mike Earnest's user avatar
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29 votes
2 answers
5k 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?
Xynariz's user avatar
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25 votes
2 answers
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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 ...
Mike Earnest's user avatar
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19 votes
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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 ...
Quuxplusone's user avatar
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18 votes
4 answers
610 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 ...
Evargalo's user avatar
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17 votes
3 answers
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....
Fabich's user avatar
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13 votes
7 answers
974 views

Minimize the longest King chain on a 5x5 binary board

Given a grid filled with numbers, let's define a King chain to be a path on the grid such that the path can be traversed with chess King's moves (moving to one of 8 adjacent cells at a time), the ...
Bubbler's user avatar
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10 votes
6 answers
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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. ...
warspyking's user avatar
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8 votes
2 answers
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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 ...
ajax333221's user avatar
8 votes
2 answers
430 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 ...
Excited Raichu's user avatar
6 votes
2 answers
1k 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!
Dmitry Kamenetsky's user avatar
5 votes
1 answer
364 views

Four queens on public transport

The enlightened but, sadly, fictional country of Switzerland has it all: A strong democracy that resists centralism, a reliable public transport network and its own version of chess. Swiss chess ...
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1 vote
2 answers
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Four pacifist queens

Earlier, I introduced the beautiful game of Swiss chess. These are animated gifs. You may have to click on them to make them move. Unlike the peace-loving Swiss, we are interested in "domination&...
Albert.Lang's user avatar
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46 votes
2 answers
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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, ...
deep thought's user avatar
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42 votes
1 answer
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. ...
Mike Earnest's user avatar
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39 votes
6 answers
3k 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 ...
Deusovi's user avatar
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32 votes
5 answers
5k views

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 ...
Paul Panzer's user avatar
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32 votes
2 answers
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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 ...
Arnaud Mortier's user avatar
27 votes
4 answers
2k 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 ...
Sconibulus's user avatar
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22 votes
3 answers
2k views

Where are the Wazirs?

A wazir is a fairy chess piece that moves like a rook, but can go only one square.                   &...
hexomino's user avatar
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21 votes
1 answer
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 ...
Sleafar's user avatar
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19 votes
3 answers
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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 ...
Anonymous's user avatar
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17 votes
4 answers
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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. ...
Sleafar's user avatar
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17 votes
9 answers
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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: ...
JLee's user avatar
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17 votes
2 answers
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 ...
Sleafar's user avatar
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15 votes
5 answers
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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 ...
warspyking's user avatar
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14 votes
4 answers
2k views

One-sided chess: Can you stalemate yourself?

You sit down to play a game of chess. Your side has the white pieces, arranged in their regular starting positions. One problem: your opponent has left, and has taken all the black pieces! Can you, ...
mathmandan's user avatar
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14 votes
3 answers
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. ...
Jafe's user avatar
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13 votes
3 answers
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 ...
Gamow's user avatar
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13 votes
5 answers
2k views

Chess pieces attacking exactly once

Inspired by this question. Actually the same but in a more generic manner. What is the maximum number of chess pieces of the same type (e.g. kings, bishops, rooks, knights) which can be placed on a ...
trolley813's user avatar
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12 votes
4 answers
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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 ...
Marius's user avatar
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11 votes
2 answers
483 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....
klm123's user avatar
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11 votes
2 answers
841 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 ...
Dr Xorile's user avatar
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11 votes
3 answers
755 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 ...
Dr Xorile's user avatar
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11 votes
2 answers
2k views

How Many Queens to Threaten Themselves?

How many queens can be placed in a standard $8*8$ chessboard to threaten each of them exactly once by other queens?
Rafe's user avatar
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10 votes
3 answers
526 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 ...
Evargalo's user avatar
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10 votes
2 answers
1k views

Chess Bloodshed

This puzzle is the idea of Dmitry Kamenetsky in a comment of my puzzle Devouring Nobility. Find, with the minimum number of moves, a legal game where all pieces are captured except the two kings.
JKHA's user avatar
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10 votes
3 answers
1k views

(Almost) all hands on check

Historical note (skip if you like): In this interesting puzzle @TSLF asks for the "maximum number of black and white pieces that are involved in a checkmate position". Originally, they left ...
loopy walt's user avatar
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9 votes
5 answers
1k views

Chess Construction Challenge #6: The One Move Royale

In chess, it is possible for a piece to have only one legal move. For example, in this position, the Black king can move only to h2. Given that: All 32 pieces are available for use. Construct: A ...
Rewan Demontay's user avatar
9 votes
2 answers
984 views

Queens attacking exactly four queens

Can you place 14 black and 14 white queens on a standard 8x8 chess board, such that each queen attacks exactly 4 opponent queens? Good luck! Here is a related question: Queens attacking exactly one ...
Dmitry Kamenetsky's user avatar
9 votes
1 answer
1k views

On an 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 squares along a row or column plus one square at a right angle. If it can only move up the board, how many routes can it take to reach any ...
wohc notna's user avatar
8 votes
4 answers
448 views

Discrete Peaceful Encampments: Player 3 has entered the game!

Here's a variation of Discrete Peaceful Encampments: 9 queens on a chessboard (which itself is a variation of Peaceful Encampments). You have 4 white queens, 4 black queens, and 4 red queens. Place ...
Quuxplusone's user avatar
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