Here are two designs on the same theme, based on an idea originally due to Geoffrey Irving (who is involved in 3D printing, but isn't on Shapeways as far as I know). The idea is to show how the fractal curve is generated, by illustrating the iterative process as the curve gets more and more crinkly as a surface.

Shapeways pages:
Developing dragon curve
Developing Hilbert curve

Videos:
Developing dragon curve
Developing Hilbert curve

• Attachment: developing_dragon_curve3_small.jpg
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• Attachment: developing_dragon_curve_front_and_back_small.jpg
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• Attachment: developing_hilbert_curve7_small.jpg
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• Attachment: developing_hilbert_curve_front_and_back_small.jpg
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I like theses fractals so I made myself one :
www.shapeways.com/model/857223/developing-koch-snowflake-fra ctal-with-holes.html

.
Thank you for the idea I stole anyway .

[Updated on: Thu, 18 April 2013 14:54 UTC]

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 .

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 ?

[Updated on: Fri, 01 February 2013 15:28 UTC]