Escher and Coxeter - a Mathematical Conversation - Professor Sarah Hart

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  • Опубліковано 9 чер 2024
  • The artist M.C. Eschers work often used ingenious tilings of the plane with interlocking figures such as fish and birds. Although these tilings could in principle extend forever, Escher could not show this on a finite picture. But a diagram from a paper by the mathematician Donald Coxeter presented one solution to this conundrum. We will look at the mathematics of this diagram and how Escher used it. We will also see how Coxeter produced mathematical research based on aspects of Escher's work.
    The transcript and downloadable versions of the lecture are available from the Gresham College website: www.gresham.ac.uk/lectures-an...
    Gresham College has been giving free public lectures since 1597. This tradition continues today with all of our five or so public lectures a week being made available for free download from our website. There are currently over 2,000 lectures free to access or download from the website.
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КОМЕНТАРІ • 14

  • @chasr1843
    @chasr1843 5 років тому +2

    I can't even remember seeing a lecture this good. Just outstanding! Dr. Hart, you are a Great. Please bring her back Gresham College.

  • @Maxander2001
    @Maxander2001 7 років тому +1

    Thanks, great lecture by Professor Hart! GEB showed me some of the lovely work of Escher for the first time. :)

  • @Maxpete4s
    @Maxpete4s 5 років тому +1

    Wonderful presentation. Thank you very much

  • @z4k4z
    @z4k4z 7 років тому

    Captivating lecture. Thank you.

  • @satanreincarnated666
    @satanreincarnated666 6 років тому

    Very nicely explained. Thank you very much..

  • @SyntakticSugar
    @SyntakticSugar 7 років тому

    Fantastic lecutre; thank you :)

  • @hansolo2121
    @hansolo2121 3 роки тому

    Esher never said he was 'coxetering'. Such a British thing to assume a thing like that. It was actually the other way around. Coxeter was 'eshering'. Esher was making his brilliant own art gathering inspiration from many mathematicians. On his own terms. Like great artists do. He searched for inspiration and then elaborated on it. And by doing so he on his turn inspired many others. Esher inspired both artists, mathematicians and culture. What a brilliant and truly unique man he was!

    • @sirknight4981
      @sirknight4981 Рік тому +1

      It's not just some assumption she made, Coxeter said it himself (see the documentary here on UA-cam called "The Man Who Saved Geometry" to hear it from the late old man's own mouth)! Are you calling him a liar?
      Besides, Escher was a genius but so was Coxeter. Escher wasn't a professional mathematician, he needed help from Coxeter sometimes and thankfully he got it. Don't discount the influence he got as well as gave just because he was a great man.