The Tower of Hanoi is a classic mathematical puzzle that consists of three rods and a series of disks of different sizes. The game starts with all the disks stacked in descending order on one rod (largest at the bottom, smallest at the top). The objective is to move all the disks to another rod, following these rules:
Only one disk can be moved at a time.
A larger disk cannot be placed on top of a smaller disk.
Disks can only be placed on one of the three rods.
This game is often used to teach recursion in computer science, as the optimal solution follows a pattern that breaks down into smaller subproblems. The number of moves required to solve the puzzle optimally is 2n−12n−1, where n is the number of disks.
The Tower of Hanoi is not just a fun and challenging puzzle but also a great exercise in logic, problem-solving, and strategic thinking!