-1
$\begingroup$

You should see a standard chessboard - it is printed on paper. How many ways can you cut it up (around the squares) such that each piece has twice as many squares of one colour than of the other colour?

Chessboard

$\endgroup$
4
  • $\begingroup$ Usually, puzzles like this remove a corner of the chessboard so you're dealing with 63. $\endgroup$
    – corsiKa
    Commented Oct 13, 2014 at 0:01
  • $\begingroup$ @corsiKa the idea of this particular puzzle was for one to figure out why it's impossible $\endgroup$
    – d'alar'cop
    Commented Oct 13, 2014 at 0:02
  • $\begingroup$ @rand -5 :O how pathetic ppl are. $\endgroup$
    – d'alar'cop
    Commented Apr 3, 2015 at 9:56
  • $\begingroup$ Indeed. I've gotta wonder what is wrong with this question that 6 people have downvoted it. But downvoting is a bit of a taboo subject IME... $\endgroup$ Commented Apr 3, 2015 at 16:13

1 Answer 1

9
$\begingroup$

A piece that has $k$ squares of one color and $2k$ squares of the other color has $3k$ squares. It is a multiple of $3$. You cannot split $64$ squares in any number of parts that all have multiples of $3$ squares.

So the answer is: there is no way.

$\endgroup$
0

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.