All Questions
Tagged with chess recreational-mathematics
7 questions
9
votes
0
answers
355
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The $n$ queens problem with no three on a line
The $n$ queens problem asks if we can place $n$ queens on an $n\times n$ chessboard such that no two queens attack one another. For example, when $n=8$, here are two solutions (images taken from ...
- 667
5
votes
1
answer
1k
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How many consecutive forced moves are possible in chess?
The question concerns chess. I call a move forced if, in a given position, is the unique move consistent with the rules of the game. I wonder what is the largest integer $n$ such that there exists a ...
- 4,459
11
votes
2
answers
1k
views
Algebraic properties of graph of chess pieces
For the purpose of this question, a chess piece is the King, Queen, Rook, Bishop or Knight of the game of chess. To a chess piece is attached a graph which represents the legal moves it can make on an ...
- 10.9k
8
votes
1
answer
487
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Knight's tour problem
It is known that on an infinite board, if all squares of the form $(ki,kj)$ are removed, $k$ even, $i,j\in\mathbf{Z}$, then there is no knight's tour due to unbalanced black and white squares.
My ...
- 909
19
votes
1
answer
1k
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Knight's tours in higher dimensions
I wonder if Knight's Tours have been explored in higher dimensions,
using the following definition of a knight move.
In dimension $d=2$, the knight moves left/right and forward/back
one step and two ...
- 151k
22
votes
5
answers
3k
views
Irreversible chess
Suppose we play a chess-variant, where any finite number of pieces are allowed, and the board is as large as we wish, but only two kings in total. And there is no 50 move-rule, no castling and no ...
- 223
11
votes
1
answer
2k
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Is the space of solutions to the Queens Domination Problem connected?
A configuration of queens on an 8 by 8 chessboard (or n by n if you like) is a queen domination if every square on the board lies in the same row, column, or diagonal as at least one of the queens. ...
- 2,218