Bridges Jyväskylä 2016 Art Exhibition: Ideal Plane of a Cube

    Tutkimustuotos: Taiteellinen julkaisu ja ICT-julkaisuExhibitionArt in coproductionvertaisarvioitu

    Abstrakti

    According to classic geometry, parallel lines do not meet. In projective geometry however, parallel lines are thought of as meeting at an 'ideal point'. In perspective drawing these points are called vanishing points, and in 3-dimensional space they lie on an 'ideal plane'.

    The sequence of four models depict a cube in a projective setting, and show how the ideal plane, and the vanishing points on it, can be brought into view. In the final stage, the three ideal points are positioned around the center of the model, and the center of the original cube is at infinity. This transition corresponds to the rotation of a 4-dimensional polytope called the 24-cell, and the subsequent change in appearance of its projections in Euclidean 3-space.
    AlkuperäiskieliEnglanti
    TilaJulkaistu - 2016
    OKM-julkaisutyyppiF2 Julkaistut taideteosten osatoteutukset
    TapahtumaBridges Finland: Mathematics, Music, Art, Architecture, Education, Culture - University of Jyväskylä, Jyväskylä, Suomi
    Kesto: 9 elokuuta 201613 elokuuta 2016
    http://bridgesmathart.org/bridges-2016/

    Sormenjälki

    Sukella tutkimusaiheisiin 'Bridges Jyväskylä 2016 Art Exhibition: Ideal Plane of a Cube'. Ne muodostavat yhdessä ainutlaatuisen sormenjäljen.

    Siteeraa tätä