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Find your footing in Tower of Hanoi

Build familiarity through play

The example and rules describe the same game you can play above. An empty tower accepts any disc; an occupied tower accepts only a smaller disc than its top disc. Start a new round when you are ready to try again.

Aim for this result

Begin with the basic rule, then follow the result of your action. Move the complete stack of discs from the left tower to the right tower without placing a larger disc on a smaller one. Keep the goal in mind before your next move.

Start here and follow along

  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.

Making selections and moves

The board gives you the information needed for the next action. Tap the source tower and then its destination. Tap the selected tower again to cancel the selection. Start a new round when you are ready to try again.

An example to follow

Read the position before choosing your next action. Three discs can be transferred in seven legal moves. Four discs need at least fifteen moves.

Where a round can go wrong

Only the top disc can leave a tower. Moving a large disc onto a small disc is rejected. The game area remains available above the explanation.

Answers about the rules and controls

When I start, 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. You can start a new round from the game controls.

During a round, how do the controls work?

Tap the source tower and then its destination. Tap the selected tower again to cancel the selection. No download or player account is required.

Can you show an example?

Three discs can be transferred in seven legal moves. Four discs need at least fifteen moves. Scores here do not represent cash or prizes.

For this game, which mistake should I avoid?

Only the top disc can leave a tower. Moving a large disc onto a small disc is rejected. Scores here do not represent cash or prizes.

During a round, 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. The game is played locally in your browser.

When I start, how many people can play here?

Solo. This is local browser play, not internet matchmaking. You can start a new round from the game controls.

When I start, 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. You can start a new round from the game controls.

Can I move several discs together?

No. One top disc moves at a time. No download or player account is required.

During a round, what does Undo do?

It restores the immediately previous puzzle state and move count. Keep the current game state in view while applying this rule.

For this game, can I use the middle tower?

Yes. It is a temporary holding tower needed to move the stack legally. The controls work with mouse or touch.