Tower of Hanoi Puzzle

A classic puzzle of strategy and logic. Move all disks from the first tower to the last tower following the rules.

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0
Moves
31
Minimum Moves
00:00
Time
Game started. Move disks

About the Puzzle

How to Play

  1. The goal is to move all disks from the first tower (left) to the last tower (right).
  2. Only one disk can be moved at a time.
  3. Each move consists of taking the upper disk from one of the stacks and placing it on top of another stack.
  4. No disk may be placed on top of a smaller disk.

Strategy Tips

  • Start by moving the smallest disks to create space for larger ones.
  • Try to build a pattern of moves that can be repeated.
  • The minimum number of moves required is 2^n - 1, where n is the number of disks.
  • For an even number of disks, make your first move to the middle peg.
  • For an odd number of disks, make your first move to the destination peg.

Mathematical Background

The Tower of Hanoi is a classic example of a recursive algorithm. The solution can be expressed recursively:

To move n disks from source to destination using auxiliary:

  1. Move n-1 disks from source to auxiliary
  2. Move the nth disk from source to destination
  3. Move the n-1 disks from auxiliary to destination

This puzzle demonstrates important concepts in computer science like recursion and algorithm analysis.

The minimum number of moves required to solve the puzzle is 2n - 1, where n is the number of disks.