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Tower of Hanoi: how a round works

Build familiarity through play

The board gives you the information needed for the next action. An empty tower accepts any disc; an occupied tower accepts only a smaller disc than its top disc.

Your goal

A careful first move helps you understand the round. Move the complete stack of discs from the left tower to the right tower without placing a larger disc on a smaller one. The game area remains available above the explanation.

The playing sequence

  1. Choose three to eight discs. All discs begin on the left tower.
  2. Select the source tower, then the destination tower. Only the top disc moves.
  3. An empty tower accepts any disc; an occupied tower accepts only a smaller disc than its top disc.
  4. Use Undo to reverse a move. Complete the puzzle when the right tower holds the whole stack.

How to use the controls

A careful first move helps you understand the round. Tap the source tower and then its destination. Tap the selected tower again to cancel the selection. The game area remains available above the explanation.

Put the rules into context

Begin with the basic rule, then follow the result of your action. Three discs can be transferred in seven legal moves. Four discs need at least fifteen moves. The game area remains available above the explanation.

A useful caution

A careful first move helps you understand the round. Only the top disc can leave a tower. Moving a large disc onto a small disc is rejected. Start a new round when you are ready to try again.

A few questions answered

For this game, what is the aim of Tower of Hanoi?

Move the complete stack of discs from the left tower to the right tower without placing a larger disc on a smaller one. Use the labelled controls for your next action.

When I start, how do the controls work?

Tap the source tower and then its destination. Tap the selected tower again to cancel the selection. Use the labelled controls for your next action.

On this page, can you show an example?

Three discs can be transferred in seven legal moves. Four discs need at least fifteen moves. The instructions above use these same rules.

Which mistake should I avoid?

Only the top disc can leave a tower. Moving a large disc onto a small disc is rejected. No download or player account is required.

For this game, what rules and limits are used here?

One puzzle with adjustable disc count from three to eight. Disc counts are settings, not separate game entries. Undo is available; refreshing restarts. Keep the current game state in view while applying this rule.

On this page, how many people can play here?

Solo. This is local browser play, not internet matchmaking. Keep the current game state in view while applying this rule.

What is the minimum number of moves?

For n discs the minimum is 2^n − 1. The board shows the minimum for your selected disc count. Use the labelled controls for your next action.

For this game, can I move several discs together?

No. One top disc moves at a time. You can start a new round from the game controls.

What does Undo do?

It restores the immediately previous puzzle state and move count. The controls work with mouse or touch.

On this page, can I use the middle tower?

Yes. It is a temporary holding tower needed to move the stack legally. Keep the current game state in view while applying this rule.