There are multiple solutions to this one, so before you start busting your brain, try moving things around according to your own set of rules. It beats just shuffling the piece around randomly.
US Version
As a general plan of attack, start by traveling around the perimeter of the board, and once you feel the time is right, head toward the center of the board.
UK Version
As a general plan of attack, start by travelling around the perimeter of the board and, once you feel the time is right, head in towards the centre of the board.
By the way, this is the last hint for this puzzle. Hint 3 is just trivia.
US Version
This puzzle, a variant on the knight's tour, is a classic...but the depth and elegance of its solution have kept it fresh for generations.
UK Version
This is an example of a knight's tour puzzle. These puzzles are classics, but the depth and elegance of their solutions have kept them fresh for generations.