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The Tower of Hanoi is a classic puzzle that has fascinated enthusiasts of logic games for years. The article outlines the history of this enigma along with its applications in various fields like computer science and psychology. It delves into how the puzzle can be solved using simple rules and numerous algorithmic approaches. The author points out the main principles governing the movement of disks and presents both iterative and recursive methods for solving the puzzle. It is worth noting that the Tower of Hanoi problem not only enhances logical thinking skills but can also serve as a fundamental algorithm for learning programming in various languages.