July 14, 2009

  • Mathematics and Narrative, continued:

    For Galois on Bastille Day
     
    Elements
    of Finite Geometry


    Some fans of the alchemy in
    Katherine Neville’s novel
    The Eight and in Dan Brown’s
       novel Angels & Demons may
      enjoy the following analogy–

    http://www.log24.com/log/pix09A/090714-Lattices.jpg

    Note that the alchemical structure
    at left, suited more to narrative
    than to mathematics, nevertheless
     is mirrored within the pure
    mathematics at right.

    Related material
    on Galois and geometry:

    Geometries of the group PSL(2, 11)

    by Francis Buekenhout, Philippe Cara, and Koen Vanmeerbeek. Geom. Dedicata, 83 (1-3): 169–206, 2000–

    http://www.log24.com/log/pix09A/090714-Intro.jpg

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