🗼 Tower of Hanoi Game Guide
Master the classic Tower of Hanoi puzzle with our comprehensive guide. Learn the rules, strategies, and mathematical principles behind this timeless brain teaser.
🎯 Game Objective
The goal of Tower of Hanoi is to move all disks from the leftmost tower to the rightmost tower, following specific rules. This ancient puzzle challenges your logical thinking and planning abilities.
📋 Game Rules
🔄 Basic Movement
You can only move one disk at a time from the top of any tower.
📏 Size Restriction
A larger disk cannot be placed on top of a smaller disk.
🎯 Winning Condition
Move all disks from the first tower to the third tower to complete the puzzle.
🎮 How to Play
🖱️ Controls
- Click: Click on a disk to select it (it will glow)
- Click Tower: Click on a tower to move the selected disk there
- Start: Begin a new game with current difficulty
- Reset: Reset the current puzzle to starting position
- Solve: Watch the computer solve the puzzle automatically
🎚️ Difficulty Levels
- Beginner (3 disks): Perfect for learning - 7 moves minimum
- Easy (4 disks): Good practice - 15 moves minimum
- Medium (5 disks): Moderate challenge - 31 moves minimum
- Hard (6 disks): Difficult puzzle - 63 moves minimum
- Expert (7 disks): Very challenging - 127 moves minimum
- Master (8 disks): Ultimate challenge - 255 moves minimum
🧠 Strategies & Tips
📐 Mathematical Pattern
The minimum number of moves required is always 2^n - 1, where n is the number of disks.
🎯 Recursive Thinking
To move n disks: move n-1 disks to auxiliary tower, move largest disk to destination, then move n-1 disks to destination.
🔄 Alternating Strategy
For odd number of disks: move smallest disk clockwise. For even: move smallest disk counter-clockwise.
⚡ Quick Method
Always alternate between moving the smallest disk and making the only legal move between the other two towers.
🧩 Start Small
Master 3-4 disk puzzles before attempting larger ones. Understanding the pattern is key.
📊 Track Progress
Try to beat your best score by reducing the number of moves and completion time.
🧠 Cognitive Benefits
🎯 Logical Reasoning
Develops systematic thinking and logical problem-solving skills through step-by-step planning.
🧩 Spatial Intelligence
Enhances spatial awareness and visualization abilities through 3D tower manipulation.
📋 Planning Skills
Improves forward thinking and strategic planning by requiring multi-step solution paths.
🔄 Pattern Recognition
Strengthens ability to identify and apply recursive patterns and mathematical relationships.
📚 Historical Background
The Tower of Hanoi puzzle was invented by French mathematician Édouard Lucas in 1883. Legend tells of an ancient temple where monks must move 64 golden disks following these same rules - when they finish, the world will end! Fortunately, this would take over 500 billion years to complete.