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Mathematical Understandings Of A Rubik's Cube
McManus, Erin McManus, Erin
McManus, Erin
McManus, Erin
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Abstract
Many people are familiar with the 3x3x3 Rubik’s Cube as a puzzle or a toy. But, what most people do not realize is that the cube is a great physical visual of a group. The goal of this paper is to discuss the Rubik’s Cube as a group and dive into a specific subgroup of the cube. Through this discussion, we will also explore homomorphisms in the slice group. This paper will also give insight on permutations, commutators, and conjugates in terms of the cube, as well as “God’s number”.
Title
Mathematical Understandings Of A Rubik's Cube
Date
2018-01-01
Subject
Rubik's Cube
Group Theory
permutations
God's number
slice group
Group Theory
permutations
God's number
slice group
Material type
Collections
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McManus__20Erin.pdf
Adobe PDF, 1.46 MB
Abstract
Many people are familiar with the 3x3x3 Rubik’s Cube as a puzzle or a toy. But, what most people do not realize is that the cube is a great physical visual of a group. The goal of this paper is to discuss the Rubik’s Cube as a group and dive into a specific subgroup of the cube. Through this discussion, we will also explore homomorphisms in the slice group. This paper will also give insight on permutations, commutators, and conjugates in terms of the cube, as well as “God’s number”.
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Location
Advisor
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Course
Department
Mathematics
Degree
Bachelor of Science (BS)