• Login
    View Item 
    •   DSpace Home
    • Student Scholarship
    • Mathematics Department
    • Senior Theses
    • 2014-2015
    • View Item
    •   DSpace Home
    • Student Scholarship
    • Mathematics Department
    • Senior Theses
    • 2014-2015
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    The Fibonacci Sequence Through a Different Lens

    Thumbnail
    View/Open
    Main Article (612.2Kb)
    Date
    2015
    Author
    Thomas, Eric
    Metadata
     Show full item record
    Subjects
    Fibonacci Sequence; Geometry
    Abstract
    While Fibonacci numbers have been the subject of numerous works over hundreds of years, the sequence presents still more opportunities for discovery. This paper introduces a new way of perceiving this well established sequence by looking at Fibonacci relationships in terms of a specific geometric construction based on Fibonacci numbers. We first find that the properties of these shapes imply several Fibonacci relationships by themselves. Moreover, we begin to explore a general form of this construction based on Fibonacci numbers which yields additional Fibonacci relationships, confirms previous observations, and offers more conclusions about Fibonacci numbers for further research. As we work through conclusions previously reached by others, we find that there is yet another path to our known destination, which suggests other related trails for further expansion of our understanding of this enduring sequence.
    Collections
    • 2014-2015

    Browse

    All of DSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

    My Account

    LoginRegister

    Carthage College © 2015-2022
    Contact Us | Send Feedback
    DSpace Express is a service operated by 
    Atmire NV