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.

5
votes
2answers
245 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
votes
2answers
675 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.
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: ...
10
votes
2answers
724 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 ...
-3
votes
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
votes
1answer
407 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 ...
11
votes
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 ...
8
votes
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
votes
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
votes
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
votes
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 ...
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 ...
39
votes
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, ...
26
votes
2answers
1k 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
votes
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
412 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 ...
6
votes
1answer
800 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
votes
1answer
623 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 "...
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 ...
5
votes
2answers
393 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
469 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. ...
9
votes
2answers
440 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....
12
votes
5answers
9k 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 ...
7
votes
2answers
768 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 ...
2
votes
3answers
756 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 ...
3
votes
2answers
423 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
284 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: ...
-2
votes
1answer
290 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
676 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 ...
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. ...
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 - ...
2
votes
2answers
730 views

How Many Pieces from Both Sides can you Place on a Chess Board Without Attacking a Side?

How many pieces can you organize on a Chess board without one side being attacked by the other? This scoring will be used to prove you have the highest. Piece cost: Pawn - 1 Knight - 3 Bishop - 3 ...
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 ...
6
votes
3answers
450 views

How Many Speedy Knights on a Chess Board?

Similar to How Many Knights on a Chess Board? however speedy knights move the way the knight moves, then the way the knight moves AGAIN. However they cannot backtrack to their starting position. How ...
20
votes
3answers
3k views

The separation of chess pieces

Is it possible to order a complete set of chess pieces of the same color (8 Pawns, 2 Knights, 2 Bishops, 2 Rook, Queen and King) in such a way that none of them attack each other? If so, how?
4
votes
1answer
609 views

How many squares can standard chess pieces control?

How many squares can you control with only one set of chess pieces of the same color? (8 Pawns, 2 Knights, 2 Bishops, 2 Rook, Queen and King) Edit: Pieces cannot attack (control) the square they are ...
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?
2
votes
1answer
637 views

How many Amazons on chessboard?

Queen is combination of Bishop and Rook and Amazon is combination of queen and knight. The question is how many Amazons can place on a standard chessboard that non of them attack each other without ...
5
votes
2answers
390 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 ...
4
votes
2answers
996 views

How Many Queens to Threat Themselves?

How many queens can be placed in a standard $8*8$ chessboard to threat each of them exactly once by other queens?
5
votes
1answer
919 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 ...
3
votes
1answer
251 views

Non-Diagonal Pointing Problem

You can see the rules for pointing problem at this article. It has been clarified that there is no solution to this question. But, what if we remove the diagonal rule? is there any solution?
3
votes
1answer
440 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 ...
5
votes
3answers
956 views

Most moveable chess position

What would be a chess position, where a player (white or black) has a maximum possible number of different moves to make? There are two options: 1. The position must be possible to obtain in a ...
5
votes
1answer
462 views

Optimal strategy against a random opponent

Imagine a very big number (2N) of people, who do not know each other, and play the following game: Players are divided into two equal groups: A and B. In each group players are numbered from 1 ...
7
votes
2answers
2k views

How many Queens and Knights does it take to cover a chessboard?

Given an 8x8 chessboard, your goal is to "cover" each space on the board. A space is "covered" if there is a piece on it, or if a piece on the board can be moved to that space in one move. If you ...
10
votes
1answer
661 views

Find the color of the chess pieces

The colors of the pieces in the diagram is unknown. The diagram can be obtained from a real game. One needs to find the color of each piece: Black or White. I do not know the full solution. ...
9
votes
1answer
747 views

Is there a retrograde analysis puzzle like “Point on the incorrectly drawn chess piece”?

Does anybody know a nice chess puzzle, where the question states: Exactly one piece is drawn incorrectly on this diagram; another piece must be drawn on its position. Find the incorrectly drawn ...
8
votes
1answer
2k views

What is the position in chess with the longest string of moves before mate?

In chess puzzles, the objective of the puzzle is usually to checkmate the opponent using some form of novel strategy or tactic. For example, the following puzzle (from here): has white to play and ...
11
votes
4answers
699 views

Are there any puzzle/solitaire games based on chess?

First, I apologise for asking a question that's not strictly in the right Q&A format; I'm hoping there are quality answers anyway. Are there any puzzle or solitaire games based on chess? By this ...