6
$\begingroup$

I was inspired by this great question: Paint Eight Squares

Given a $5 \times 5$ grid of white squares, can you paint 11 of the squares black so that each white square is orthogonally adjacent to exactly two black squares?

$\endgroup$

1 Answer 1

8
$\begingroup$

The answer is

yes

and here's why:

5x5 grid with some cells colored black

$\endgroup$
3
  • 1
    $\begingroup$ That is correct! In fact this is the only solution I found and it is pretty. $\endgroup$ May 26, 2021 at 6:11
  • 7
    $\begingroup$ Pfft. That's cheating. "can you paint 11 of the squares black so that each white square is orthogonally adjacent to exactly two black squares?" yes, trivially, if none of the squares are white! :-) $\endgroup$
    – msh210
    May 26, 2021 at 14:59
  • $\begingroup$ they are white to Deusovi... $\endgroup$ May 26, 2021 at 15:15

Your Answer

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

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