A cellular automaton for pied-de-poule (houndstooth)

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    Abstract

    We report on the generation of a specific type of pied-de-poule pattern (houndstooth) using a dedicated cellular automaton. The generator is a one-dimensional automaton such that the development features a so-called puppytooth pattern. In order to make this possible we had to introduce a system of five colors. The desired pattern appears as a Gestalt under an obvious forgetful mapping, viewing darker colors as black and lighter colors as white. It is possible to extend the automaton, which offers a rich playground for various types of semi-random, yet pied-de-poule like behaviors. The pattern was used to weave fabric; we show the fabric and several realized garments.
    Original languageEnglish
    Title of host publicationProceedings of Bridges 2017, 22-31 July 2017, Waterloo, Ontario
    Subtitle of host publicationMathematics, Art, Music, Architecture, Education, Culture
    EditorsDavid Swart, Carlo H. Séquin, Kristóf Fenyvesi
    Place of Publications.l.
    PublisherTessellations Publishing
    Pages403-406
    ISBN (Electronic)978-1-938664-22-9
    ISBN (Print)978-1-938664-22-9
    Publication statusPublished - 27 Jul 2017
    EventBridges 2017 : Mathematics, Arts, Music, Architecture, Education, Culture - University of Waterloo, Waterloo, Canada
    Duration: 27 Jul 201731 Jul 2017
    Conference number: 20
    http://bridgesmathart.org/bridges-2017/
    http://bridgesmathart.org/past-conferences/bridges-2017/
    http://bridgesmathart.org/past-conferences/bridges-2017

    Conference

    ConferenceBridges 2017 : Mathematics, Arts, Music, Architecture, Education, Culture
    Abbreviated titleBridges Waterloo 2017
    Country/TerritoryCanada
    CityWaterloo
    Period27/07/1731/07/17
    Internet address

    Keywords

    • Generative art, fashion patterns, weaving, houndstooth

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