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?
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asked May 26, 2021 at 5:54
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1 Answer
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3
The answer is
yes
and here's why:
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1$\begingroup$ That is correct! In fact this is the only solution I found and it is pretty. $\endgroup$ Commented May 26, 2021 at 6:11
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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!
:-)$\endgroup$– msh210Commented May 26, 2021 at 14:59 -
$\begingroup$ they are white to Deusovi... $\endgroup$ Commented May 26, 2021 at 15:15