The knight is the only piece on the board that may jump over other pieces. This gives it a degree of flexibility that makes it a powerful piece.

Since obstructions are not a bar to movement the knight's path of movement has never been well defined.

The knight can be thought of as moving one square along any rank or file and then at an angle. The knight's movement can also be viewed as an 'L' laid out at any horizontal or vertical angle.

Note that the squares to where the knight can move are all of the opposite colored squares two steps away from his starting square. This may help you visualize the knights range of influence on the board.