Inspired by my first "Inclusions" model, it is in fact very similar to a Sierpinski pyramid (somewhere between level 4 and 5).
Instead of being made by removing matter from a solid tetrahedron, it is made by adding edges to a wireframed tetrahedron.
Thus is is more 3D print friendly (no small sections supporting weight).
This one has its larger edges measuring 7.5 cm.
Read this post: http://www.shapeways.com/forum/index.php?t=msg&th=2120&start=0