All Questions
Tagged with mathematics knights
9
questions
11
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When can legions of knights on an infinite chessboard checkmate a lone king?
On an infinite (perhaps only in one direction?) chessboard, what kind of configuration of (possibly a very large number of) knights could checkmate a lone king? I'm really thinking of an infinite-in-...
- 335
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3
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How many moves does it take a knight to move 1 square forward?
How many moves does it take a knight to move 1 square forward?
For example, if I wanted to move a knight from e5 to e4 what is the minimum number of moves it would take?
- 229
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Knight Moves Around the Board [duplicate]
It is well known that a lone knight can move all around the board covering each square once and only once. Is this possible when the lone knight starts only on certain squares ? How many unique ...
- 399
10
votes
2
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Maximum number of knights populating a chess board so that no knights are attacking one another
The 8 queen's puzzle is a well-known puzzle involving placing 8 queens on a chessboard so that no queen attacks another queen. It is more or less obvious that 8 is the maximum number of queens that ...
- 7,998
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Arrange 5 non-attacking knights on a 5x5 toroidal board
The celebrated British mathematician and lover of public transport, Simon Norton, passed in 2019. He was the subject of a wonderful biography. He was not a particular fan of chess, but here is a tiny ...
- 13.1k
2
votes
2
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How many different knight's tours are there?
How many solutions does the Knight’s Tour puzzle have when the knight first moves from square a1, through all squares (on each square once), and return back to a1? Please give some solutions. Also, ...
- 543
-4
votes
1
answer
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What is the total number of KNN vs K checkmate positions?
What is the total number of KNN vs. K checkmate positions? Assume that White is checkmating.
Firstly the Black king must be mated on a corner. It is impossible to do it on the edge. The calculations ...
- 17.7k
4
votes
3
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Knights necessary to mate king on large finite board
How many knights would be necessary to mate opponent's king on large finite boards, like a billion times a billion squares?
Are they fast enough to surround the opponent's king in a constant number of ...
- 3,286
4
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4
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Longest path for knight
Suppose the knight is on square X and he wants to get to square Y, and in order to do that he has to move N moves. how big could N be?
Could that be solved using a mathematical equation? Say Nf3 ...
- 5,784