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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0 answers
31 views

Last chess game

Your grandfather left you a laptop, but it is locked with a password. The only clue he left was his last chess game. ...
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 - ...
15 votes
5 answers
5k 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 ...
6 votes
3 answers
701 views

Why did she choose O6G?

He gave her 8 choices. 7 lead to death, one lets her continue. O6A O6B I6C U6D I6E I6F O6G O6H Of course, he knew she had no idea. He turned the hour glass and gave her 5 items from his suitcase....
7 votes
2 answers
518 views

One vs many. Can white force a draw?

On an infinite chessboard there's a single white king and N black kings. The nearest black king must be K moves away from the white king. Given N, white dictates the value of (finite) K, then black ...
13 votes
5 answers
2k views

General attacking chessboard squares

This is a general version of this beautiful puzzle. Place any number of standard chess pieces on a 8x8 chessboard, such that there is at least 1 empty square attacked by exactly 1 piece, at least 1 ...
12 votes
1 answer
502 views

Attacking chessboard squares with 6 pieces

Place 6 white pieces (a king, a queen, a rook, a bishop, a knight and a pawn) on 6 different squares of a regular 8x8 chessboard so that there is at least one empty square attacked by exactly one ...
26 votes
6 answers
4k views

Find a chess position that can occur twice but not thrice in a single game

For purposes of this puzzle, a chess position consists of an arrangement of pieces on the board, as well as the side to move. No other information about the game state is included. The objective of ...
13 votes
2 answers
3k views

What's the most distant chess position?

It's well known that the combinatorial explosion means that there are many, many, possible chess games. And yet most games are decided within 100 moves, and Wikipedia says that the longest tournament ...
6 votes
0 answers
225 views

Mate-in-25 tsumeshogi

This is apparently the first shogi-related question on this site! Yay! Anyway, this is a mate-in-25 tsumeshogi. Sente (the player with the pieces pointing up) is to move and by an uninterrupted series ...
0 votes
1 answer
382 views

Rooks covering Dark Squares on a Chessboard

How many rooks are required such that all dark squares on the chessboard are covered by at least one rook.
5 votes
1 answer
2k views

Hidden Message: The Army Message

A soldier of the International Army received a message which shows 2 pictures of a finished chess game (shown below) with the text; The White Army stood still, while the Black Army dashed. What is the ...
5 votes
1 answer
621 views

How to beat level 24 in Chessformer?

This is Level 24 in Chessformer: This is pretty easy to do at first, as long as you don't click the restart button (which I did by complete accident when I had some good progress on this level): ...
4 votes
3 answers
262 views

What is the longest single-branch chess sequence?

A chess position's n-score is defined as: NaN if it's impossible for the position to be played for another n half-moves (assume that the game ends in a draw as soon as the same position is repeated 3 ...
5 votes
1 answer
238 views

Decent Knights - Chess

In Naughty knights it’s asked to prove that it’s impossible to fit more than 32 knights such that no knight attacking other. Can you find the minimum number of knights, filling the table in a way that ...
5 votes
1 answer
560 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 ...
0 votes
1 answer
121 views

Chess with gravity #2: Keys, Locks, and Lava

Previous Puzzle If you're having trouble understanding the key/lock thing, watch this until 9:30 which might be a better explanation of what I'm trying to say General Rules: In this puzzle, you ...
1 vote
2 answers
2k views

Chess, but with gravity? #1

Based off of this puzzle and this Youtube video Rules: You control the pieces labeled kn (knight), b (bishop), and ...
9 votes
3 answers
846 views

Three-player chess on a 7x7 board

This is chess between three players. Short rules: Black moves first, then blue, then red. The move order is the same regardless of whether any of the players are in check. Normal chess rules ...
12 votes
1 answer
2k views

A check is a win

Consider a normal game of chess with one change. As soon as you put the opposing king in check you have won. If both players play optimally, how long is the game?
9 votes
1 answer
3k views

Two-Move Chess Game

Consider a standard game of chess. We make the following modification: on a turn, if a player makes a move which neither captures a piece nor puts their opponent’s king in check, then they may make a ...
10 votes
2 answers
1k views

Retrograde Analysis Problem Inspired by Various Chess Memes

Standard Retrograde Analysis conventions are used. In addition, the following rules also apply: White must begin the game with 1. d4 and 2. Bf4 If capturing en passant is legal then it is mandatory. ...
7 votes
2 answers
471 views

The Not So Knights Challenge

You have been imprisoned by your super duper cliché evil king named Tim Goldsteen for sneezing during his birthday party. Apparently he’s that evil. Anyhow, you found out Tim’s secret that he enjoys ...
3 votes
1 answer
448 views

Escape the labyrinth

Devise a concrete winning plan for White. The title will help. En passant is not possible. FEN: 7k/8/6p1/3p1pPp/p1pPp1p1/PpPpPpPp/1P1B1P1B/3NRKQN w - - 0 1 Hint: Hint 2:
7 votes
2 answers
517 views

An Atomic Proof Game

One day, I heard two of my friends were playing an online game of chess. I went to spectate, and this was the position: However, I looked at the move list, and realized White's sixth move had just ...
25 votes
1 answer
3k views

Chess with jumping

Puzzle Statement: Consider the game of chess, but with a slight modification of the rules as follows: all heavy pieces (i.e., the queens and rooks) are allowed to jump as far across the board as they ...
2 votes
2 answers
208 views

Chess 960 and Castling #2

For how many Chess 960 starting position you can play into a position such that the game requires castling? Again for "standard" chess, this is impossible(§): You must let a bishop out, but ...
24 votes
1 answer
1k 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 encamp” ...
1 vote
2 answers
1k views

16 queens puzzle

Can you place 8 white queens and 8 black queens on an 8x8 grid, such that no two queens of the same colour occupy the same row, column or diagonal?
3 votes
2 answers
118 views

Chess 960 and Castling #1

You are given a Chess960 starting position, but you don't know it is actually the starting position (the knights and maybe other pieces moved around). For which of the Chess960 starting positions you ...
7 votes
1 answer
4k views

Find this Mate in 1

This position was from one of my online games on Chess.com. I had the white pieces and was very close to victory. However, I couldn't find the mate in 1 as stockfish did. Where on earth was the mate ...
12 votes
1 answer
2k views

Poison ivy chess: Can the king get to safety?

The king is on a chessboard filled with poison ivy bushes. Can the king get to safety? Details: The king is initially located at the top left-hand corner square of the chessboard. The finite ...
6 votes
2 answers
332 views

The Faerie Army is coming!

Well, we're all in trouble, yet again. The fabled Faerie Army has come to take over our dimension. This is the battlefield: However, their soldiers don't work quite like ours... Their pawns move as ...
6 votes
1 answer
273 views

Permuting officers during a Chess960 game

There are... let me see... ah yes 960 different possible starting positions in Chess960. Suppose the players never move a pawn, or make a capture, but simply move their officers so that eventually ...
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?
4 votes
1 answer
305 views

Moving a knight to a new square each turn: who wins?

Alice and Bob are playing a game. Alice starts by placing a knight on the chessboard. Then they take turns moving the knight to a new square (standard chess rules apply: the knight moves in an "L&...
19 votes
2 answers
432 views

Queens of the Square Sudoku Table

. 6 . | 8 . 3 | . 7 . . . 1 | . . . | . 6 9 7 . . | . . . | . . 5 ---------+---------+-------- . . . | 9 . . | . 1 . . . . | . . . | . . 4 . . 5 | . 1 . | . ...
23 votes
1 answer
2k views

Monte Carlo Chess

This is an entry to the 17th fortnightly topic challenge. Chess is an interesting game, but is so unrealistic. In real life, you couldn't tell order your knight to attack an enemy bishop and expect ...
5 votes
5 answers
497 views

Chess Construction Challenge #4-Excelsior!

It’s been awhile since the last one, so cheers for round four! Given that: It’s White to selfmate themselves in exactly 5 moves, i.e. after White’s fifth move, Black’s only legal move(s) will ...
24 votes
7 answers
1k 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,...
5 votes
1 answer
410 views

Gravity Chess - Slipping Through the Cracks

Chess Mate Attack is a mobile puzzle game released earlier this year. Each of its 90 (at time of writing) levels follows the same basic principles: Play takes place on an $m×n$ chessboard, whose ...
5 votes
2 answers
538 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 ...
16 votes
2 answers
1k views

Scholar's mate with queen excluder

The queen excluder is a type of barrier used in beehives which lets through small worker bees but not the larger queen bee. Extending this simple but powerful concept into the chess world, let's ...
17 votes
5 answers
4k views

5 chess pieces dominating a 5x5 grid

This is a puzzle based on work by Rodolfo Kurchan. Can you place a pawn, a knight, a bishop, a rook and a king on a 5x5 chess grid, such that every empty cell is attacked by at least one piece? Note ...
31 votes
4 answers
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: ...
6 votes
1 answer
332 views

Three free moves, three more moves, mate

This morning, at the coffee corner in our office, I met a colleague who mentioned he'd be joining a chess club. So I asked him: "And, how was your first evening at the chess club?" "Well, it was a ...
5 votes
3 answers
403 views

Black to move. Find all possible #-1

In the middle of researching a new chess AI by pitting bots against each other, the researchers notice the below position just before Black wins on the next move. They are confounded for a minute ...
11 votes
1 answer
310 views

A look at the rooks

Let's book a look and figure out the rooks from the mooks. Which ones are the original kings' rooks? This was composed by Boris M. Klementjew and published in Shakhmatnaya Kompozitsiya 15, page 60, ...
8 votes
1 answer
1k views

How many moves to reach this position?

I was recently introduced to this lovely mate in 1 puzzle. It’s best when shown on a physical chess board. But what is the smallest number of moves it would take to reach this position?
11 votes
1 answer
608 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 ...

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