A 3-dimensional version of the Hilbert space filling curve. As shown in the photos, if printed in one of the "Strong & Flexible" plastics, it can b...

A smaller version of Triple Gear is available here. A baseplate and axle for using a motor to move the triple gear is available here. Also see 15 c...

A self-referential tessellation of the sphere.This is a little delicate as the lines are 1.5mm thick, but it seems sturdy enough.

This steampunk style knotted cog was procedurally generated using 3-dimensional spherical geometry, then stereographically projected into our (most...

A ruled parametric surface based on the Archimedean spiral.

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...

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 octa...

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 s...

Rectangular tube version. One arc's worth of fibers, from pole to pole.

Produced using SeifertView (http://www.win.tue.nl/~vanwijk/seifertview/)The figure 8 knot is the simplest knot after the trefoil and the unknot, an...

A self-referential tessellation of the torus.

A small chunk of diamond atomic structure.

The usual version of a Möbius strip has as its single boundary curve an unknotted loop. An unknotted loop can be deformed into a circle, with the ...

This is a graph embedded in 3-dimensional space as a subset of the cubic lattice. The graph has a fractal structure, analogous to the fractal struc...

This is a graph embedded in 3-dimensional space as a subset of the cubic lattice. The graph has a fractal structure, formed by a process of repeate...

Pipes of constant radius around the curves.

Self referential cube.

The 120-cell is one of the six regular 4-dimensional polytopes. This is the result of taking the edges of the polytope, radially projecting them on...

This design is based on an idea originally due to Geoffrey Irving (http://naml.us/~irving/).

This shows (a somewhat idealised version of) the path of a juggling club as it is thrown from one hand to the other. See http://shpws.me/a4k3 and h...

The usual version of a Möbius strip has as its single boundary curve an unknotted loop. An unknotted loop can be deformed into a circle, with the ...

This is made by gluing two copies of the Round Möbius Strip along their boundaries. A Klein bottle in 3-dimensional space has to intersect itself,...

This steampunk style knotted cog was procedurally generated using 3-dimensional spherical geometry, then stereographically projected into our (most...

This is a baseplate and axle for the Triple gear (full size version). The axle has a 5mm diameter hole in the bottom, for fitting onto a motor.

This steampunk style knotted cog was procedurally generated using 3-dimensional spherical geometry, then stereographically projected into our (most...

A version of http://www.segerman.org/autologlyphs/dodecahedron_photo.jpgprojected onto a sphere and embossed.

This is made by gluing two copies of the Round Möbius Strip along their boundaries. A Klein bottle in 3-dimensional space has to intersect itself,...

This is a graph embedded in 3-dimensional space as a subset of the cubic lattice. The graph has a fractal structure, formed by a process of repeate...

Rectangular tube version. Two great circles of fibers, together with four more circles that connect the fibers together.