First Advisor

Andrew Wilson

Date of Award

2-26-2021

Document Type

Thesis

Degree Name

Bachelor of Science (B.S.) in Computer Science and University Honors

Department

Computer Science

Language

English

Subjects

Group theory, Rubik's Cube

DOI

10.15760/honors.1001

Abstract

In my thesis, I describe the work done to implement several Group Theory concepts in the context of the Rubik’s cube. A simulation of the cube was constructed using Processing-Java and with help from a YouTube series done by TheCodingTrain. I reflect on the struggles and difficulties that came with creating this program along with the inspiration behind the project. The concepts that are currently implemented at this time are: Identity, Associativity, Order, and Inverses. The functionality of the cube is described as it moves like a regular cube but has extra keypresses that demonstrate the concepts listed. Each concept is looked at in the scope of Group Theory and how it can be visualized by this simulation. Each implemented concept is then explained in the context of the Rubik's cube. The code is accessible on GitHub at https://github.com/asokamoto/GroupTheoryCube.

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Persistent Identifier

https://archives.pdx.edu/ds/psu/35160

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