Knight's Tour

The Knight's Tour is a classic chess problem where the goal is for a knight to visit every square on a chessboard exactly once, moving according to its L-shaped pattern (two squares in one direction and one perpendicular). The challenge lies in finding a sequence of moves that covers all 64 squares without repeating any. This problem has intrigued mathematicians and computer scientists as it involves concepts of pathfinding, logical reasoning, and combinatorics. Solutions can be found through algorithms or systematic trial, and the tour can be closed (ending on a square that is a knight's move from the starting position) or open.