Tower of Hanoi
Move all disks from the first tower to the last tower. Only one disk can be moved at a time, and no larger disk can be placed on a smaller disk.
Configuration
• Move one disk at a time
• Only the top disk can be moved
• No larger disk on smaller disk
About Tower of Hanoi
The Tower of Hanoi is a classic mathematical puzzle invented by French mathematician Édouard Lucas in 1883.
Move all disks from the first tower to the last tower
Minimum moves = 2ⁿ - 1
where n is the number of disks
Features
- Interactive disk movement
- 1-8 disks support
- Move counter
- Undo functionality
- Optimal solution display
- Auto-solve animation
- Visual feedback
- Completion detection
Minimum Moves
Tips
- Start with 3 disks to learn
- Plan moves ahead
- Use the middle tower strategically
- Undo if you make a mistake
- Try to match optimal moves
- Watch auto-solve to learn patterns
Mathematical Properties
Key Facts:
Recursive Solution: The puzzle can be solved using recursion
Exponential Growth: Moves double with each additional disk (plus 1)
Binary Connection: Related to binary counting and Gray code
64 Disks Legend: Would take 585 billion years to complete!
Applications
- Teaching recursion in computer science
- Algorithm complexity demonstration
- Problem-solving skills development
- Mathematical thinking exercises
- Backup rotation strategies (computing)
- Psychological research on planning
- Educational puzzles and games
- Brain training and cognitive exercises
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