About Tower of Hanoi

The Tower of Hanoi is one of mathematics' most elegant problems: move all discs from one peg to another using a third peg, never placing a larger disc on a smaller one. The problem was invented by French mathematician Édouard Lucas in 1883, and the minimum solution requires exactly 2ⁿ - 1 moves for n discs — a number that grows exponentially. The three-disc puzzle requires 7 moves; the four-disc version requires 15; the 64-disc legendary Tower of Brahma would require over 18 quintillion moves. This game teaches the mathematical concept of recursive decomposition: any n-disc solution breaks down into three sub-problems that each recursively solve a smaller version of the original challenge.