Double Spiral

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    (help my city!)

    Conformal mappings are great: it's a very powerful branch of mathematics, which basically says you can deform almost any 2D object and transform it into something else while keeping the shape of objects the same (on a small scale). Hence this picture: you see no holes, no obvious distortion, but this image cannot be real. This trick is inspired by apainting by M.C. Escher: some Dutch mathematicians have found what the transformation is and explained it in (almost) layman terms.

    In this particular case the image is twice repeated. In the parameterization discussed here, this is a (1,2) spiral
    This image was done in The Gimp and transformed with MathMap.

    Matt Cline, Stefan D2, gpessia, and 220 other people added this photo to their favorites.

    View 20 more comments

    1. lynetter 88 months ago | reply

      I love photos like this, they remind me of escher drawings. Thanks too for sharing it under creative commons. I used it in my quote mashup set. Hope this is OK, let me know if not. :-)
      www.flickr.com/photos/lynetter/376632696/in/set-720575941...

    2. Diego Meijido 87 months ago | reply

      your work remember me ESCHER

    3. antonioVi (Antonio Vidigal) 87 months ago | reply

      Outstanding photo, made with open source software. Please consider posting it in:
      Open Source Photography (OSP)

    4. roddh 84 months ago | reply

      wow! wonderful image. beautiful!
      very interesting construction.

    5. mortimer? 83 months ago | reply

      A year ago today! great!!

      --
      Seen on the explore page. (?)

    6. Seb Przd 83 months ago | reply

      Thanks for the heads up mortimer!
      (and if you are not bored with it yet, help my city!)

    7. 24 Hour Humanity 83 months ago | reply

      funny picture :)

    8. mvongrue 82 months ago | reply

      Worth bringing it to the front page again. I did not see it so far. Currently I am thinking what to do with the droste effect....but still awating the right sujet.

      Great shot
      Regards
      Markus

    9. PhotoMasterGreg 81 months ago | reply

      Another great work! I'm glad I found your pix!
      Greg

    10. megbclemens 74 months ago | reply

      Hi, I'm an admin for a group called CCSPreC08, and we'd love to have your photo added to the group. We are a PreCalculus class that is putting together a group of photos with a math theme

    11. `^Ashepsut^` [deleted] 74 months ago | reply

      Bellissima foto. Sarei lieta di poterla ospitare nel neogruppo
      "Girandole e spirali". Se ti va, inviala a: www.flickr.com/groups/in_giro/

    12. C4T4 74 months ago | reply

      Complimenti da Girandole e Spirali!
      Mi farebbe piacere condividere la tua foto nel mio gruppo.
      GIRANDOLE E SPIRALI
      Se vuoi , invia la tua bella immagine e commentane almeno una.

      Compliments from: Windmills & Spirals!
      Please post this beautiful image to the group and comment on 1.


    13. AllieW. 71 months ago | reply

      Just amazing!

    14. isavdmisa2 66 months ago | reply

      bravissimo !

    15. hk_traveller 66 months ago | reply

      Hi, I'm an admin for a group called All Favourite Photos, and we'd love to have this added to the group!

    16. Goreki_ 65 months ago | reply

      Love it
      it's like "Whirlpools" from Escher, I'm a huge fan
      great work

    17. fotodiagramas 64 months ago | reply

      Hi, I'm an admin for a group called Fotografía Matemática, and we'd love to have this added to the group!

    18. katierose95 46 months ago | reply

      How do you do this?!??! it's so cool!!! :D

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