• Login
    View Item 
    •   Home
    • Student Scholarship
    • Honors Theses
    • View Item
    •   Home
    • Student Scholarship
    • Honors Theses
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of SSDRCommunitiesPublication DateAuthorsTitlesSubjectsThis CollectionPublication DateAuthorsTitlesSubjects

    My Account

    LoginRegister

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    Investigation Of Plane Symmetry In Lattice Designs

    • CSV
    • RefMan
    • EndNote
    • BibTex
    • RefWorks
    Thumbnail
    Name:
    Sheridan_Katyana.pdf
    Size:
    1.743Mb
    Format:
    PDF
    Download
    Title
    Investigation Of Plane Symmetry In Lattice Designs
    Author
    Sheridan, Katyana
    Date
    December 2016
    Subject
    abstract algebra
    crystallography
    frieze groups
    lattice designs
    plane symmetry
    wallpaper groups
    
    Metadata
    Show full item record
    URI
    http://hdl.handle.net/20.500.13013/628
    Abstract
    The purpose of this research project is to analyze the scholarly article The Plane Symmetry Groups: Their Recognition and Notation by Doris Schattschneider. In this article, Schattschneider discusses an application of abstract algebra which is useful in art as well as crystallography: frieze groups and wallpaper groups. I was interested in pursuing this topic because it combines mathematics with its applications, particularly with my own interest in chemistry. The article provides a compiled resource of terminology and rules of these groups, but not one which was easily accessible to undergraduate students. In my research, I elaborated on the descriptions of certain types of periodic patterns to add to the accessibility, and analyzed a few designs to prove their classification based on the rules from Schattschneider's article. I found that this resource provided a good source of rules for which mathematical proofs could be based, and proved the classification of two different periodic plane designs.
    Advisor
    Poitevin, Pedro
    Department
    Mathematics
    Degree
    Bachelor of Science (BS)
    Collections
    Mathematics Honors Theses
    Honors Theses

    entitlement

     
    DSpace software (copyright © 2002 - 2023)  DuraSpace
    Quick Guide | Contact Us
    Open Repository is a service operated by 
    Atmire NV
     

    Export search results

    The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

    By default, clicking on the export buttons will result in a download of the allowed maximum amount of items.

    To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

    After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.