This is a small version of Triple Gear.
In this unusual mechanism three gears mesh together in pairs, and yet they can turn!

If you take three ordinary gears and put them together so that each gear meshes with the other two, then none of the gears can turn because neighbouring gears must turn in opposite directions. Triple gear avoids this problem by having the three "gears" arranged like linked rings - the gears then rotate along skew axes, and the opposite direction rule no longer applies (although see also Oskar van Deventer's Magic Gears for another possible solution).
This is joint work with Saul Schleimer. We were inspired by another of Oskar's designs, his Knotted Gear, which consists of two linked rings that gear with each other, and of course we wondered if it would be possible to do three linked rings!
A note on materials: I have so far printed it in White Strong & Flexible only. It may arrive with the rings slightly fused together, but gently moving them back and forth will loosen them up, and the mechanism gets smoother with use. I'm not sure what effect the polishing process would have on the gearing mechanism, since it would polish the exposed gear teeth but not those which are meshed as it comes out of the printer. So I have disabled the polished material options. If you really want to try it, let me know. I also haven't tested any of the "frosted detail" materials, but I imagine that they should work fine. The "detail" materials require a thicker wall thickness than this model has, so it is not printable in those materials.
A large version of the puzzle is available here.
The goal is to assemble the five identical pieces shown in the first picture into the ring-like structure shown in the others. Each of the five pieces is made from six dodecahedral cells, giving the puzzle its name. It is based on the 120-cell, one of the six regular polytopes in four-dimensional space. When assembled the puzzle is a part of the stereographic projection of the radial projection of the 120-cell to the three-sphere.
Further description here: http://www.segerman.org/30-cell_puzzle.pdf.
This is joint work with Saul Schleimer.
This is the Multidodecahedron. A puzzle that has all the parts from the Megaminx, Pyraminx Crystal, Starminx, Master Pentultimate and Pentultimate and requires you to solve them simultaneously. This puzzle was initially suggested by Carl Hoff, who coined the name Multidodecahedron.
Update: Jury 1st Prize winner at the 2011 International Puzzle Design competition
Two open-ended Superstrings with the correct spin can be merged into a super-symmetrical cube.
The idea for this puzzle emerged when I was designing shapes based on two interlocked tetrahedra. Inspired by ideas from 'string theory' and 'super-symmetry', I began to search for shapes that were both symmetrical and as similar as possible.
Taking the two pieces apart is not too difficult; reassembling them back into a cube can be more challenging. Hold one of the pieces still; move the other piece through the correct sequence of lateral and rotational moves.
This is a 3D printed version of my Ghost Cube, a 3x3x3 mod that solves by shape instead of color, and is meant to be as confusing as possible.
This version has a newly designed core that allows the puzzle to be easily assembled from just the printed parts, without needing to use any screws or springs. The puzzle turns very well, even with nothing but printed parts. The puzzle is a bit tight to assemble, and may "squeak" a bit (due to the print lines) when turned until the parts are broken in, but very quickly turns great!
Read more about this puzzle on the Twisty Puzzles forum.
Comes undyed. This is a difficult puzzle to assemble, for experienced puzzlers only!