Developing fractal curves

Discussion in 'My Shapeways Order Arrived' started by henryseg, Jul 4, 2012.

  1. henryseg
    henryseg Well-Known Member
  2. Wahtah
    Wahtah Well-Known Member
    I love them! Brilliant... That's it really, just saying...
     
  3. ttoinou
    ttoinou New Member
    Last edited: Apr 18, 2013
  4. henryseg
    henryseg Well-Known Member
    Very cool ttoinou!

    As I said in the original post, I also stole the idea from Geoffrey Irving :)

    We wrote a paper together on these things: Developing Fractal Curves. Geoffrey has a different way to generate the surfaces, which looks like it might be similar to yours. He also did the Koch snowflake, there are some renders of it in the paper.
     
  5. ttoinou
    ttoinou New Member
    Thank you for the paper.
    We both use polynomial curves but I don't know if it is the same algorithm..
    And you manage to create thickness (I have to use Blender) AND it gets thinner as the iteration (or z space parameter) increase.
    Doing that would be my next step :p .

    New version :
    <a href=" http://www.shapeways.com/model/857320/developing-koch-square -fractal-with-holes.html" target="_blank"></a>
    [​IMG]

    How many triangles do you have ?
     
    Last edited: Feb 1, 2013
  6. henryseg
    henryseg Well-Known Member
    Hi ttoinou,

    The details about how we thicken things up are in the paper, but there are lots of ways you can do it.

    I made my version with NURBS surfaces, so it can be however many polygons you like. I tend to get near to Shapeways' million polygon limit if I've got a complicated model like this. Geoffrey's version of these uses meshes the whole time, and gets finer detail meshes using something called Loop subdivision, and so he can get arbitrarily detailed meshes as well.
     
  7. CristobalGordo
    CristobalGordo New Member
    Really cool looking things. Seems like they would maybe make good heatsinks (made out of aluminum or copper.)