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Metalwork  Projects  The Towers of HanoiThere are two different models shown here. The first is basic and suitable for the classroom as it is made of Acrylic mainly. The second is more like a model you might put in your living room and competent Lathe skills are necessary. The project is pretty easy to make, however drilling Acrylic as always can be problematic if not done correctly. The shapes shown here are squares but of course any regular shape will do. Care also needs to be taken when tapping and threading as if not the pillars may not be vertical afterwards. The LegendIn Vietnam there is a temple which contains a large room with three timeworn posts in it surrounded by 64 golden disks. The Monks of Hanoi have been moving these disks, in accordance with the rules of the puzzle, since the beginning of time. When the last move of the puzzle is completed, the world will end. If the legend were true, and if the priests were able to move disks at a rate of one per second, using the smallest number of moves, it would take roughly 600 billion years to complete the puzzle. (So no need to worry just yet then ! ). With 64 disks it would take 18,446,744,073,709,551,615 moves to finish the puzzle. The Rules of the PuzzleThe objective of the puzzle is to move the entire stack of disks to another Pillar, obeying the following rules:
A challenge is to see how few moves you take to complete the puzzle. The more disks you have the more likely a mistake, sadly. The MathsDepending on the number of disks you use, there is a minimum to the amount of moves you can complete the puzzle in. The mathematical formula is 2^{n}  1, where n is the number of disks you use. Here are a few examples : 3 Disks => 2^{3}  1 = (2 x 2 x 2)  1 = 7 You may notice that adding 1 disk to the puzzle means doubling the number of moves and still needing 1 more move ! Parts List  The Towers of Hanoi IParts 7 to 10 are 4 optional disks that can be manufactured by the better students.
Student HandoutZip FilesDownload All : Solidworks Part, Solidworks Drawing, PDF of Drawing and 3D images for The Towers of Hanoi I Parts List  The Towers of Hanoi II
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Student HandoutZip FilesDownload All : Solidworks Part, Solidworks Drawing, PDF of Drawing and 3D images for The Towers of Hanoi II 


