A sculpture of the Klein Quartic

A sculpture of the Klein Quartic

My first successful Shapeways print came in the mail today, and I think it turned out really nice!  Here are some quick pics from my phone.

It is based on the main figure from Klein's original paper (see p320):
http://library.msri.org/books/Book35/files/klein.pdf

The dual {7,3} and {3,7} tilings are raised to different heights to bring them into relief, and it's easy to see all 336 symmetry triangles.

For more about this object, see:
http://math.ucr.edu/home/baez/klein.html, by John Baez 
http://library.msri.org/books/Book35/contents.html





Comments

  1. Henry SegermanFebruary 1, 2013 at 4:17 PM

    I like how you've dealt with the problem of needing non-zero thickness in the connections between tiles.

    ReplyDelete
  2. John CookFebruary 1, 2013 at 4:22 PM

    Very cool.

    ReplyDelete
  3. Scott VorthmannFebruary 1, 2013 at 4:41 PM

    congrats on your first physical manifestation!

    ReplyDelete
  4. Scott VorthmannFebruary 1, 2013 at 5:34 PM

    Can I order one? What is your store on shapeways?

    ReplyDelete
  5. Melinda GreenFebruary 1, 2013 at 5:55 PM

    Gorgeous, Roice!
    How large is it and what did it cost to print?

    ReplyDelete
  6. Roice NelsonFebruary 1, 2013 at 9:34 PM

    I just opened a shop here with this first model:
    http://www.shapeways.com/shops/roice3

    The model is there with no upcharge.  With current shapeways pricing, it looks like it starts at $58 for their "white and flexible".  I ordered it in "Alumide", which was a bit more at $109, but I love the result.  It's light but has a metallic look.

    Thanks so much for all the positive feedback!

    ReplyDelete
  7. Roice NelsonFebruary 1, 2013 at 11:51 PM

    Melinda Green, I forgot to mention, it is about 9 inches in diameter.

    ReplyDelete
  8. Eduard BaumannFebruary 2, 2013 at 2:42 AM

    Very very nice! Congrats!

    ReplyDelete

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