Hopeless love and other lattice walks

T. Verhoeff, Koos Verhoeff

    Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

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    The Hopeless Love theme arose from observations about chess bishops and their walks on the chessboard. In chess, there are two types of bishops: one confined to the white squares and the other to the black squares. If two bishops of opposite type fall in love, then they can walk around each other, coming very close together, but they can never meet. Their love is hopeless. In this article, we explore the generalization of bishop walks to the 3D chessboard and define when their paths are considered a hopeless love. This has led to several mathematical sculptures. A fictitious 3D chess piece that walks in directions of the main diagonals of the cube we call a rhomber. Again, hopeless love is in the picture, and has resulted in a mathematical sculpture.
    Originele taal-2Engels
    TitelProceedings of Bridges 2017
    SubtitelMathematics, Art, Music, Architecture, Education, Culture
    RedacteurenDavid Swart, Carlo H. Séquin, Kristóf Fenyvesi
    Plaats van productiePhoenix, Arizona, USA
    UitgeverijTessellations Publishing
    Pagina's197-204
    Aantal pagina's8
    ISBN van geprinte versie978-1-938664-22-9
    StatusGepubliceerd - jul. 2017
    EvenementBridges 2017 : Mathematics, Arts, Music, Architecture, Education, Culture - University of Waterloo, Waterloo, Canada
    Duur: 27 jul. 201731 jul. 2017
    Congresnummer: 20
    http://bridgesmathart.org/bridges-2017/
    http://bridgesmathart.org/past-conferences/bridges-2017/
    http://bridgesmathart.org/past-conferences/bridges-2017

    Publicatie series

    NaamBridges Conference Proceedings
    UitgeverijTessellations Publishing
    ISSN van geprinte versie1099-6702

    Congres

    CongresBridges 2017 : Mathematics, Arts, Music, Architecture, Education, Culture
    Verkorte titelBridges Waterloo 2017
    Land/RegioCanada
    StadWaterloo
    Periode27/07/1731/07/17
    Internet adres

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