Questions tagged [chess]

A puzzle related to chess. Questions about chess which aren't puzzles are off-topic and should be asked on Chess Stack Exchange.

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28
votes
1answer
2k views

Trapping The Knight

A knight is placed on an infinitely large chess board with no edges. It can only visit each square once. What is the smallest number of moves it can make that would cause it to become trapped?
7
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2answers
541 views

Create an impossible knight transformation

Some examples: Desegregate the Knights and Switch The Knights You must give two 8x8 chess board positions that have any number of black and white knights. Both boards must have the same number of ...
22
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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 ...
30
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5answers
4k 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 ...
10
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2answers
548 views

Trapping pieces on an infinite chessboard

Alice and Bob are playing an unusual game of chess. We begin with a piece on a square of an infinite chessboard. On each of her turns, Alice moves the piece. On each of his turns, Bob destroys a ...
4
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1answer
128 views

Pawn-free squares

The chessboard below contains two pawns. How many squares (of any size) does not contain a pawn?
14
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1answer
1k views

A chic party puzzler

(Based on this puzzle by Gamow. The answer there might give you a hint (so don't look yet!)) At a fancy party in Café la Tour, everybody is friends with exactly 14 of the other people present. ...
7
votes
1answer
607 views

Queens on a Board with Two Players

Alice and Bob decide to play a game. Alice goes first. They will take turns placing queens on a chessboard such that the queen is not threatened by any other queen on the board. Both players play ...
12
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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 ...
17
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2answers
1k views

Shortest forced mate if black has no pieces

Assume that black starts with just the king on e8 and white has all her pieces in the normal opening positions. What is the shortest forced mate for white?
6
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1answer
683 views

3D Chess Cube - Queen Puzzle

The basis of this puzzle, is based on a common 2D chess puzzle, where you try to fit 8 queens on a chessboard without the queens being able to attack each other. Extend this concept into a 3D cube (...
10
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1answer
1k views

Fastest Checkmates

I'm not very good at all at chess, but was thinking about some interesting chess variations and thought of this question. It is well known that the fastest (i.e. fewest moves required) checkmate is ...
47
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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 ...
10
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3answers
1k views

Chess Game of Life

A bishop and a rook, of opposing colors, start on opposite corners on the same side of a chessboard, oriented as in the following picture: They then proceed to play a game of cat-and-mouse. Rules ...
23
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1answer
837 views

The Knight of Words

You need to turn the following 6x6 square into a word square (i.e. so that the 1st row and 1st column both contain the same six-letter word, as do the 2nd row and 2nd column, etc.) by swapping each ...
15
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1answer
725 views

A Game of ChessTron

The rules of ChessTron are as follows. Alice picks a chess piece (not the queen, as it is considered too powerful), and places it in the corner of a standard 8x8 chessboard. Bob picks a chess piece (...
10
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5answers
1k views

Knight on the keyboard

You are given a QWERTY keyboard, and are allowed to choose where you wish to start. You are only able type in the same way a knight is able to move on a chessboard (but in this case, on the keyboard). ...
26
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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
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1answer
819 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 ....
3
votes
3answers
473 views

Two knights jousting on a chessboard

Two knights (black and white, the latter going first) start on opposing corners of a chessboard, moving across it in the usual manner, attempting to capture each other: the knight who first lands on ...
6
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1answer
733 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
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2answers
253 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
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2answers
771 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
778 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 ...
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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 ...
5
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1answer
412 views

From Kings to Knights

In From knights to kings and From Knights to Kings on a rectangle we tried to help knights be next to their friends after they were promoted to kings. What happens if we have kings who are deposed and ...
12
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1answer
1k views

Two rooks for Bobby Fischer

Bobby Fischer liked to play the following game on a standard $8\times8$ chessboard: In his first step, Bobby placed a white rook and a black rook somewhere on the chessboard (on two different ...
9
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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....
16
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2answers
2k views

Houdini versus the chess masters

As we all know, Houdini is very good at coming out on top against improbable odds! And oh boy are the odds improbable. For his next great performance, he claims he can play simultaneous chess games ...
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 ...
22
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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 ...
42
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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, ...
27
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2answers
4k views

Can you solve my Chess Sudoku puzzles?

Rules Normal Sudoku rules apply except that instead of 9s you must place chess pieces. A puzzle can mix chess pieces, and in principle any piece may be used - although the rest of the constraints ...
13
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4answers
2k views

Save d'alar'cop by Helping Him Defuse The Bomb Placed By An Assassin

d'alar'cop was busy solving puzzles and making riddles at his home. He heard a knocking on the door. He got up and reached the door to answer the knocking. Once he opened the door, no one was there. ...
9
votes
1answer
421 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 ...
7
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1answer
866 views

Chess Game with Highest Scoring

Only one side has to have the score, the other can end with just a king for all I care. What game ends with the highest piece scoring? A trivial answer would be 38, using fools mate (or scholars mate)...
9
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1answer
637 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 "...
7
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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 ...
5
votes
2answers
419 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
votes
3answers
480 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. ...
11
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2answers
456 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....
13
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5answers
11k 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 ...
10
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2answers
1k 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 ...
3
votes
3answers
824 views

Weakest chess piece that can checkmate the opposite king alone

In regular chess no piece can checkmate the opposite king alone (i.e. without the help of his allied king). But a Maharajah can. Is there a piece weaker than the Maharajah, of course invented, that ...
4
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2answers
463 views

Equal Chess Control With One Color

Using only the one colour set; Is it possible to setup a chess board where every square on the board is only controlled once. Occupying a square does not mean controlling it. If it is possible, with ...
3
votes
1answer
308 views

Equal Chess Control

Is it possible to setup a chess board where every square on the board is only controlled once. Occupying a square does not mean controlling it. If it is possible, with how little pieces? Piece Cost: ...
-1
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1answer
318 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,...
3
votes
1answer
718 views

Can more than 24 knights of each color be placed on a chessboard without any pieces attacking opposite color?

The maximal number of knights of a single color that can be placed on a chessboard without any knight being one knights-move away from any other is 32; such a position may easily be achieved by ...

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