perplexus.info :: Algorithms : Three of Hanoi

Three of Hanoi (Posted on 2005-07-01)

When solving the Towers of Hanoi puzzle, it's easy to show that on every other turn you must move the smallest disk... can you do this?

Then again, can you also prove that the smallest disk will move cyclically -- for example, from post 1 to post 2 to post 3 to post 1, and so on?

Finally, using that fact, can you provide an iterative (that is, not recursive) algorithm for solving the puzzle?

See The Solution Submitted by Federico Kereki

Rating: 4.5000 (2 votes)

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Question	Arjun	2007-09-08 12:24:04
My solution	Jort Bloem	2006-10-23 23:14:50
One good solution, one so-so solution	e.g.	2005-07-02 14:03:33

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