A novel line fractal pied de poule (houndstooth)

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    In earlier work we proposed a fractal pied de poule inspired by Cantor's dust, building on a mathematical analyis of the classical pied de poule pattern. Now we propose another fractal pied de poule implemented as a single line. Instead of blocks which get fragmented into smaller and smaller blocks, we begin with a single continuous line which is expanded by adding more and more nested zigzags. Although the former approach takes a two-dimensional starting point and the latter a one-dimensional starting point, the resulting fractal dimensions are comparable (also depending on the type of the original pied de poule being fractalised). We calculate the fractal dimension and develop a fashion item based on the new pattern, to be shown at Bridges.
    Original languageEnglish
    Title of host publicationProceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture, Baltimore, MD, USA, July 29 - August 1, 2015
    EditorsK. Delp, C.S. Kaplan, D. McKenna, R. Sarhangi
    Place of PublicationPhoenix
    PublisherTessellations Publishing
    Number of pages8
    ISBN (Print)978-1-938664-15-1
    Publication statusPublished - 2015
    EventBridges 2015, July 29-August 1 2015, Baltimore, MD, USA - University of Baltimore, Baltimore, MD, United States
    Duration: 29 Jul 20151 Aug 2015

    Publication series

    NameProceedings of Bridges: Mathematics, Music, Art, Architecture, Culture
    ISSN (Print)1099-6702


    ConferenceBridges 2015, July 29-August 1 2015, Baltimore, MD, USA
    Country/TerritoryUnited States
    CityBaltimore, MD
    Other"Mathematics, Music, Art, Architecture, Culture"
    Internet address

    Bibliographical note

    author = {Loe M.G. Feijs and Marina Toeters},
    title = {A Novel Line Fractal Pied de Poule (Houndstooth)
    pages = {223--230},
    booktitle = {Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture},
    year = {2015},
    editor = {Kelly Delp, Craig S. Kaplan, Douglas McKenna and Reza Sarhangi},
    isbn = {978-1-938664-15-1},
    issn = {1099-6702},
    publisher = {Tessellations Publishing},
    address = {Phoenix, Arizona},

    note = {Available online at \url{http://archive.bridgesmathart.org/2015/bridges2015-223.html}}


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