How to Complete Knight's Tour

Run the interactive board to walk through the complete steps using the Warnsdorff's Rule. Choose your board size and watch the algorithm do its thing

Demo Controls

Move: 0

Understanding the Solution

The Knight's Tour puzzle can be solved using various algorithms. The demo above shows one possible solution for each board size. Here are some key points to understand:

  • The knight always moves in an L-shape: 2 squares in one direction, then 1 square perpendicular to that.
  • The goal is to visit every square on the board exactly once.
  • The solution demonstrated uses a heuristic approach called Warnsdorff's rule, which chooses the next move based on the square with the fewest onward moves.
  • Different starting positions may lead to different solutions.
  • Not all starting positions will lead to a complete tour, especially on smaller boards.
  • There are other algorithms that can also solve the Knight's Tour problem, each with its own advantages and limitations.

Practice and experiment with different starting positions to improve your understanding and strategy!