Tower of Hanoi in Different Connectivities

Author(s)

Luyang ZouFollow

Department, Center, or Institute

Mathematics

Presentation Format

Department Organized Oral Session

Presentation Type

On-campus research

Description

This summer we explored a specific variation of the Tower of Hanoi puzzle: the disks can only move to an adjacent peg. In this way the game can be simplified to a loosely connected graph. We examined graphs on a single line, having connectivity 2 and bipartite using inductive proof and path-finding programs combined. We came to descriptions of shortest path solutions.

Department Organized Oral Session Title

Mathematics Summer Research Experiences

Moderator/Professor

Liz Bouzarth, Mathematics

Session Number

1

Start Date and Time

4-9-2019 9:45 AM

Location

Riley Hall 107

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Apr 9th, 9:45 AM

Tower of Hanoi in Different Connectivities

Riley Hall 107

This summer we explored a specific variation of the Tower of Hanoi puzzle: the disks can only move to an adjacent peg. In this way the game can be simplified to a loosely connected graph. We examined graphs on a single line, having connectivity 2 and bipartite using inductive proof and path-finding programs combined. We came to descriptions of shortest path solutions.