Tower of Hanoi
--- quest: true --- [[File:]]
[Tower of Hanoi](https://play.fancade.com/5EBB62523C0B03D5) by Spolarium is an adaptation of the math puzzle of the same name.
Gameplay
The gameplay features disks, and 3 pegs. The goals is to get all blocks to the last peg (chequerboarded for convenience) in a pyramid structure from biggest to smallest as fast as possible. Click a peg to dislodge a disk, and click the next peg where you wish to place the disk. Here are the rules:
- You can only move one disk at a time
- You take either the only disk on a peg, or the top disk of a stack, and move it onto the top of another stack, or onto an empty peg.
- You may not place a disk on top of a smaller disk.
Solution
The following is an iterative solution. From left to right, we will call the pegs A, B and C.
For any n disks, the minimum amount of moves to make to solve the puzzle is (2^n)-1.
For an even amount of disks, the following is done:
- Make a legal move from A to B in any direction.
- Make a legal move from A to C in any direction.
- Make a legal move from B to C in any direction.
Repeat this until the puzzle is solved.
For an odd amount of disks, the following is done:
- Make a legal move from A to C in any direction.
- Make a legal move from A to B in any direction.
- Make a legal move from B to C in any direction.
Repeat this until the puzzle is solved.