http://www.shapeways.com/forum/index.php Shapeways: Bring your creativity to life in 3D http://www.shapeways.com/forum/index.php?t=rview&goto=50796&th=10083#msg_50796
Shapeways pages:
Developing dragon curve
Developing Hilbert curve

Videos:
Developing dragon curve
Developing Hilbert curve





]]> henryseg 2012-07-04T13:05:30-00:00 http://www.shapeways.com/forum/index.php?t=rview&goto=50800&th=10083#msg_50800 Wahtah 2012-07-04T14:17:45-00:00 http://www.shapeways.com/forum/index.php?t=rview&goto=59666&th=10083#msg_59666 www.shapeways.com/model/857223/developing-koch-snowflake-fra ctal-with-holes.html

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Thank you for the idea I stole anyway .]]> ttoinou 2013-01-05T15:12:45-00:00 http://www.shapeways.com/forum/index.php?t=rview&goto=59695&th=10083#msg_59695
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.]]> henryseg 2013-01-06T00:11:40-00:00 http://www.shapeways.com/forum/index.php?t=rview&goto=59711&th=10083#msg_59711 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 .

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


How many triangles do you have ?]]> ttoinou 2013-01-06T10:58:59-00:00 http://www.shapeways.com/forum/index.php?t=rview&goto=59734&th=10083#msg_59734
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.]]> henryseg 2013-01-06T21:46:21-00:00 http://www.shapeways.com/forum/index.php?t=rview&goto=59778&th=10083#msg_59778 CristobalGordo 2013-01-07T16:37:16-00:00