Master the classic Tower of Hanoi puzzle game online. Learn recursive algorithms, solve mathematical puzzles step-by-step, and discover the ancient wisdom from India through interactive gameplay.
Select "Learn Mode" to watch the solution or "Play Mode" to solve the Tower of Hanoi puzzle yourself
Start with 3 disks and gradually challenge yourself with more complex Tower of Hanoi problems
Learn the three fundamental Tower of Hanoi rules and movement constraints
Discover recursive thinking and divide-and-conquer strategies behind the solution
We recommend starting with Learn Mode to observe the complete Tower of Hanoi solution process. Understanding the basic strategy before entering Play Mode will help you master recursive thinking through practice.
Each operation can only move one disk. Multiple disks cannot be moved simultaneously.
Only the disk at the top of each rod can be moved. Disks underneath must wait until the disks above them are moved away.
When moving disks, you cannot place a larger disk on top of a smaller one. The order must always be maintained with larger disks below smaller ones.
Move all disks from the source rod to the target rod while maintaining the same stacking order (largest disk at bottom, smallest at top).
The Tower of Hanoi, also known as the Towers of Hanoi or Lucas' Tower, is a mathematical puzzle that originated from an ancient Indian legend. According to the tale, in the great temple of Benares, there stands a brass plate with three diamond needles.
When the Hindu god Brahma created the world, he placed 64 golden disks on one of the needles, arranged from largest at the bottom to smallest at the top. Day and night, monks work tirelessly to move these disks according to the immutable laws of Brahma.
Legend says that when all 64 disks are moved from Brahma's needle to another, the world will end in a thunderclap, and the temple, along with all creation, will crumble to dust.
If the monks moved one disk per second, completing the 64-disk Tower of Hanoi would take approximately 584 billion years! This demonstrates the incredible power of exponential growth in mathematical puzzles.
The minimum number of moves for n disks is 2ⁿ - 1.
Use the recursive strategy: move 9 disks to auxiliary rod, move the largest disk to target, then move 9 disks to target. Our learning mode demonstrates the complete 10-disk solution step by step.
Yes! Tower of Hanoi is one of the best examples for understanding recursive algorithms and divide-and-conquer strategies. It demonstrates how complex problems can be broken down into simpler subproblems.
Any language with recursion support works well. Python and JavaScript are popular for beginners due to clean syntax. Our tutorial includes examples in multiple programming languages.
Yes! While recursion is more intuitive, iterative solutions using stacks are possible and can be more memory-efficient for large numbers of disks.
The time complexity is O(2ⁿ) where n is the number of disks. This exponential growth demonstrates why the legendary 64-disk version would take billions of years to complete.
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