MerryArcade

Tower of Hanoi

Puzzle · 16 plays

Tower of Hanoi

Move the whole tower, one disc at a time — never big on small.

About Tower of Hanoi

The mathematician's puzzle from 1883, still the cleanest brain-teaser ever built. Shift the entire tower of discs to the right-hand peg, moving one disc at a time and never placing a larger disc on a smaller one. Three discs take seven moves; each extra disc doubles the job. Climb from three discs to eight and feel your brain learn the pattern. Free to play in your browser — no download, no sign-up.

Category
Puzzle
Released
September 2026
Last updated
Sep 18, 2026
Platforms
Browser (desktop, mobile, tablet)
Controls
Tap or click
Developer
MerryArcade Originals

How to Play

Tap a peg to pick up its top disc, tap another to drop it. A disc may never sit on a smaller disc. Rebuild the whole tower on the right peg in as few moves as possible.

Tips & Strategy

The recursive insight: to move a tower of N, move the top N-1 out of the way, shift the big base disc, then bring the N-1 back on top of it.

First move matters: with an odd number of discs, move the small disc to the target peg; with an even number, to the spare peg. Get it wrong and perfection is gone.

A slick shortcut: move the smallest disc every second turn, always cycling it in the same direction. The in-between moves are then forced.

The minimum is 2ⁿ−1 moves — 7, 15, 31, 63… Matching it on five discs from memory is a genuine feat.

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