Knights
What is the maximum number of chess knights that you can place on a chess board so that none of them can attack each other in one move?
HintThere's something very peculiar about the movement of knights!
Hide
Answer
The thing with the movement of the knight is that it always lands on the opposite color, so if you place all the knights on the same color none will attack each other. Hence you can put 32 knights and none will be able to attack another one.
Hide
Comments
Mhalun 
Apr 27, 2003
| Please give me your suggestions and comments |
quisitor
Apr 29, 2003
| why not 64 white (or 64 black) knights on every square? |
(user deleted)
Apr 29, 2003
| Never realized that! Awesome teaser! |
(user deleted)
Apr 29, 2003
| quisitor asks an interesting question, but I suppose it is assumed that the knights can attack each other even if they are of the same color. Otherwise trivial answers like "knights could stack one on top of another" or "in a 10x10 board, 100 knights, all of different shades of yellow" abound. Hmm... more interesting is can you prove that that is the maximum number? And as a challenge can you find the minimum number of knights that can be placed on a chess board such that every square is either attacked or occupied by a knight? (use standard rules - you know what I mean - no shades of yellow). |
kghugs
May 15, 2003
| this is a boring joke. i don't even get the joke. |
puzzled_puzzler
May 22, 2003
| Its not sopposed to be a joke. You probably have the wrong site. |
(user deleted)
May 22, 2003
| The solution is 14. I will leave the three placements as an exercise for the reader. |
krishnan  
Jun 12, 2003
| I think the answer to Anonymous' question is 12 and not 14 as claimed by him. I have a solution with me but I don't want to give it away. |
Back to Top
| |
|
