Combinatorial choreography

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

    Abstract

    Together with the workshop participants, we investigate various ways to express combinatorial structures through persons and/or physical objects in motion. For instance, the six permutations of three elements can be presented by three persons in a dance. Each person represents an element. They stand next to each other, and, five times, two appropriately selected neighbors swap places. Each swap can be artistically executed. Alternatively, the three persons can hold three physical objects to represent the three elements, and they exchange objects to present the six permutations. This is a discovery workshop, where I will guide you through some of the combinatorial structures that I have investigated. Even simple combinatorial structures give rise to interesting mathematical questions when trying to present them through persons and physical objects. The design of a choreography can lead to surprising insights. There will also be room to work on designing your own choreography for a combinatorial structure of your choice. Finally, we reflect on possible applications in education.
    Original languageEnglish
    Title of host publicationProceedings of Bridges Towson: Mathematics, Music, Art, Architecture, Culture (15th Annual Bridges Conference, Towson MD, USA, July 25-29, 2012)
    EditorsR. Bosch, D. McKenna, R. Sarhangi
    PublisherTessellations Publishing
    Pages607-612
    ISBN (Print)978-1-938664-00-7
    Publication statusPublished - 2012
    Event15th Annual Bridges Conference (Bridges 2012), July 25-29, 2012, Towson, MD, USA - Towson University, Towson, MD, United States
    Duration: 25 Jul 201229 Jul 2012
    http://bridgesmathart.org/past-conferences/bridges-2012/

    Conference

    Conference15th Annual Bridges Conference (Bridges 2012), July 25-29, 2012, Towson, MD, USA
    Abbreviated titleBridges 2012
    Country/TerritoryUnited States
    CityTowson, MD
    Period25/07/1229/07/12
    Other"Mathematics, Music, Art, Architecture, Culture"
    Internet address

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