This is a graph embedded in 3-dimensional space as a subset of an "octahedral lattice", which is related to the tessellation of space using octahedra and tetrahedra. The graph has a fractal structure, formed by a process of repeated substitution. Each vertex at each step of the construction is degree 4, and is replaced at the next step by 6 vertices arranged in an octahedron, with certain choices of edges connecting them to each other. Each edge is replaced at the next step by 2 parallel edges. We begin the construction with the first step being the edges of an octahedron, and this is the result at the fourth step.

The Elf Princess headdress wraps the head and shoulders in swirling, fantasy designs. Accurate fit requires a 3D body scan. Email Contact@ThreeFormFashion.com for details about full service scanning and fitting.

While playing on the math playground, I found this pretty pebble. Suitable as a pendant or bead.
Necklace not (yet) included, you will need a thin flexible cord to make the sharp turn on the inside.

A small chunk of diamond atomic structure.

A fascinating 4-piece puzzle with 2 identical pieces and 2 identical mirror images which interlocks into a tetrahedron. This is the metal version of "Stan's Tetrahedron" at http://www.shapeways.com/model/53194/stan_s_tetrahedron.html It fits nicely out of the box, although the fit is a bit looser than in the plastic (WSF) version of the same puzzle. Update Mar 15 2010: the new version has no holes visible when assembled. Sphere diameter: 12mm.

Only a few copies of this puzzle have been printed.  It is quite expensive and I am not sure if the tolerances in metal are good enough to reproduce it reliably.

Pipes of constant radius around the curves.

Yet another cufflink I made. This one is smaller than the others but still most massive. The cube is 1,5 x 1,5 x 1,5 cm, but it's a cube, so probably a big cufflink. The normal version without twisted layers exists too. I prefer keeping them seperate though. Any combination or spares can be ordered that way.