The comments below are valid for a knight on an open board with no obstructions. The situation in an actual game could, of course, affect the knight’s routes.
- It will always require an uneven amount of moves to reach a square that is the opposite color to the knight’s square. Similarly, an even amount of moves is required to reach a same-color square.
- A square one open space away from the knight on the same diagonal, is surprisingly hard to reach. It requires 4 moves.
- A knight on a central square can reach almost any same-color square in just 2 moves.
- A square right next to a knight, horizontally or vertically, requires 3 moves to reach.
- Except when a knight is in a corner or right on the edge of the board, it can reach any opposite color square within 3 moves.
- Except when a knight is in a corner, it can reach any same-color square within 4 moves.
- The knight’s ability to maneuver is severely limited in or very near the corners of the board.
- A knight placed one square diagonally away from a corner square, require 4 moves to reach that corner.
- A knight in the a corner requires 6 moves to reach the other corner on the same diagonal.