forkable squares

I created a map of forkable squares around the king. So if a queen, for example, was on any of the red squares, a knight could fork the king and queen. The only safe squares are diagonals 2 and 4 away. This is useful under time pressure when trying to avoid an opponent's knight.
I was surprised when I made the map how many squares are a fork risk.
Clearly the knight can only fork a king if the knight starts on the same color as the king, so keeping the king on the opposite color as the knight also works. For this reason when a knight checks my king, I try to escape to a square of the same color my king was on before. But since the knight covers squares of the opposite color, this is often a difficult. So knowing moving 2 diagonal away from a key piece is also safe is useful.

Thanks for this!