Brain Teasers
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?
Hint
There's something very peculiar about the movement of knights!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 Hint Show Hint Hide Answer Show Answer
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Please give me your suggestions and comments
why not 64 white (or 64 black) knights on every square?
Apr 29, 2003
Never realized that! Awesome teaser!
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).
this is a boring joke. i don't even get the joke.
Its not sopposed to be a joke. You probably have the wrong site.
May 22, 2003
The solution is 14. I will leave the three placements as an exercise for the reader.
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.
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