## 3-Colors Tower of Hanoi

Professor John Mason of the Open University alerted me to the fact that the 3-color Tower of Hanoi puzzle is solvable if the goal is to affect a derangement of stacks of disks of the same color. The only restriction for a move is that a bigger disk can't be placed on top of a smaller one.

(To work out the puzzle, drag the disks from one peg to another. Drop it there.)

What if applet does not run? |

The puzzle is indeed solvable. You should not try it, though, if your patience is lacking. Time permitting I'll add an animated solution.

Stuart Anderson came up with a recursive algorithm for automatic solution of the puzzle. You can see how it works either Slow or Fast

- Tower of Hanoi
- Tower of Hanoi, the Hard Way
- Bicolor Towers of Hanoi
- 3-Colors Tower of Hanoi
- 3-Colors Tower of Hanoi (Algorithm)
- Hanoing
- Sierpinski Gasket and Tower of Hanoi

|Activities| |Contact| |Front page| |Contents| |Games|

Copyright © 1996-2018 Alexander Bogomolny67566403