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What squares a knight threatens
One of the eight squares of the opposite color that lie on the perimeter of the 5×5 square centered on the knight


What squares a knight can move to on the next turn should it move two ranks right and one file up (assuming next position has 8 valid squares)
All same colored squares as knight’s current square
One
Three up, one right
Tall knight up and right
Two
Three up, three right
Third along upper right diagonal from knight
Three
Two up
Four
Two up, four right
Five
Current square
Six
Four right
Seven
One down, one right
First square to bottom right
Eight
One down, three right
Wide knight down and right

Trick for remembering 2 of the 8 squares a knight can move to on the next turn should it move two ranks right and one file up (assuming next position has 8 valid squares)
The two squares of the same color as the knight’s current square touching both the third and fourth squares of the opposite color diagonal starting from the square to the right of the knight’s current position

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