# Explorations in 4-peg Tower of Hanoi Ben

@inproceedings{Houston2004ExplorationsI4, title={Explorations in 4-peg Tower of Hanoi Ben}, author={Ben Houston and Hassan Masum}, year={2004} }

Finding an optimal solution to the 4-peg version of the classic Tower of Hanoi problem has been an open problem since the 19th century, despite the existence of a presumed-optimal solution. We verify that the presumed-optimal Frame-Stewart algorithm for 4-peg Tower of Hanoi is indeed optimal, for up to 20 discs. We also develop a distributed Tower of Hanoi algorithm, and present 2D and 3D representations of the state transition graphs. Finally, two variants (k-out-of-order and k-at-a-time) and…

## 2 Citations

### Bounded Hanoi

- Computer ScienceAm. Math. Mon.
- 2022

The space complexity of the Tower of Hanoi puzzle, i.e., how many disks need to be accommodated on the pegs involved in the transfer, is considered for the first time.

### What is the least number of moves needed to solve the 4-peg Towers of Hanoi problem?

- Mathematics, Computer ScienceDiscret. Math. Algorithms Appl.
- 2019

It is proved that the solutions to the Tower of Hanoi problem given by Frame and Stewart are minimal and the maximum number of disks that can be moved using formula is [Formula: see text].

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