If one were to create a Towers of Hanoi puzzle with four towers instead of three, with rules changed appropriately, it should be possible to create a recursive solution for the puzzle where one of the constraints is that at some point during the solution all of the disks must reside on each of the four towers.

Question

Quizplus · Accepted Answer

The recursive solution for the Towers of Hanoi puzzle with four towers would involve moving the disks between three of the towers in a similar manner as the traditional three-tower version. However, at a certain point, all of the disks would need to be moved onto the fourth tower before continuing with the standard recursive algorithm. This is a valid and solvable variation of the puzzle.

If One Were to Create a Towers of Hanoi Puzzle