Tower of Hanoi blog

Solutions, the algorithm, the math, and the history of the Tower of Hanoi. Start with how to solve the Tower of Hanoi, then go deeper. Prefer to just play? Jump in below.

• The Tower of Hanoi Algorithm: Recursive and Iterative Solutions Explained

  The Tower of Hanoi algorithm explained: the recursive solution with pseudocode, the iterative method, time complexity, and why it always takes 2^n - 1 moves.

• Tower of Hanoi in Python: A Recursive Solution with Code

  Tower of Hanoi in Python explained line by line. A clean recursive solution with full code and output, an iterative version, and how to count the moves.

• How to Solve the Tower of Hanoi: A Step-by-Step Guide

  Learn how to solve the Tower of Hanoi step by step. The rules, the recursive pattern that solves any number of disks, and a full 3-disk walkthrough with every move.

• What the Tower of Hanoi Teaches: Recursion and Problem-Solving

  Why the Tower of Hanoi matters: how it teaches recursion, problem decomposition, and planning, plus its real uses in computer science, math, and psychology.

• The Tower of Hanoi Formula: How Many Moves Does It Take? (2^n - 1)

  The Tower of Hanoi formula is 2^n - 1. Here's how many moves each disk count takes, why the formula works, and the famous 64-disk calculation of 585 billion years.

• The Legend and History of the Tower of Hanoi

  The history of the Tower of Hanoi: invented by Edouard Lucas in 1883, the legend of the Tower of Brahma and its 64 golden disks, and why the world is safe for now.

• Tower of Hanoi Variations: 4-Peg, Cyclic, Bicolor and More

  Tower of Hanoi variations explained: the 4-peg Reve's puzzle and Frame-Stewart algorithm, cyclic Hanoi, bicolor and magnetic versions, and the linear three-peg variant.

• Tower of Hanoi: 3, 4 and 5 Disk Solutions, Move by Move

  Complete move-by-move Tower of Hanoi solutions for 3 disks (7 moves), 4 disks (15 moves), and 5 disks (31 moves), with the pattern that connects them all.

• Tower of Hanoi for Kids: A Simple Beginner's Guide

  Tower of Hanoi for kids made simple. Easy rules, a 3-disk walkthrough children can follow, what it teaches, and tips for parents and teachers to introduce it.