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    Mathematical Understandings Of A Rubik's Cube

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    Title
    Mathematical Understandings Of A Rubik's Cube
    Author
    McManus, Erin
    Date
    2018
    Subject
    Rubik's Cube
    Group Theory
    permutations
    God's number
    slice group
    
    Metadata
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    URI
    http://hdl.handle.net/20.500.13013/658
    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”.
    Advisor
    Crowe, Kathi
    Department
    Mathematics
    Degree
    Bachelor of Science (BS)
    Collections
    Mathematics Honors Theses
    Honors Theses

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