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Know the goal in Tower of Hanoi

Practice beyond the first move

Begin with the basic rule, then follow the result of your action. An empty tower accepts any disc; an occupied tower accepts only a smaller disc than its top disc. Keep the goal in mind before your next move.

Your objective

The example and rules describe the same game you can play above. Move the complete stack of discs from the left tower to the right tower without placing a larger disc on a smaller one. Try the rule on the board, then read the next instruction.

Follow these playing steps

  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

Read the position before choosing your 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.

See the idea in action

Read the position before choosing your next action. Three discs can be transferred in seven legal moves. Four discs need at least fifteen moves. Start a new round when you are ready to try again.

A mistake to avoid

Read the position before choosing your next action. 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.

Game-specific help

On this page, 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. The game is played locally in your browser.

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.

During a round, can you show an example?

Three discs can be transferred in seven legal moves. Four discs need at least fifteen moves. No download or player account is required.

When I start, 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.

When I start, 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 worked example offers another way to follow the rule.

How many people can play here?

Solo. This is local browser play, not internet matchmaking. The game is played locally in your browser.

On this page, 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. The instructions above use these same rules.

On this page, can I move several discs together?

No. One top disc moves at a time. The game is played locally in your browser.

For this game, what does Undo do?

It restores the immediately previous puzzle state and move count. Scores here do not represent cash or prizes.

During a round, can I use the middle tower?

Yes. It is a temporary holding tower needed to move the stack legally. The instructions above use these same rules.