55.2k views
5 votes
!!QUICKLY!!

The Tower of Hanoi is traditionally seen with three
pegs. How would adding more pegs affect the
minimum number of moves required to solve forn
disks? Why is this the case?

User Josh Fell
by
4.5k points

2 Answers

3 votes

Answer:

As the number of pegs added increases, the number of moves required decreases.

The extra pegs allow for more places to move disks, reducing the number of intermediate stacking steps.

An example would be three disks with four pegs. This requires 5 moves to solve, instead of 7.

Explanation:

User Mohamed Fadl
by
4.4k points
6 votes

Answer:

As the number of pegs added increases, the number of moves required decreases.

The extra pegs allow for more places to move disks, reducing the number of intermediate stacking steps.

An example would be three disks with four pegs. This requires 5 moves to solve, instead of 7.

Explanation:

User Tereno
by
5.2k points