A small chunk of diamond atomic structure.

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...

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...

Pipes of constant radius around the curves.

Self referential cube.

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...

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

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

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...

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 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. Her...

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 model is both the Half of a 120-cell and Half of a 600-cell together in the same space, showing how they are dual to each other.

This is a collection of common example surfaces from classes in multivariable calculus. Much larger versions of these surfaces are available here. ...

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...

The 120-cell is one of the six regular 4-dimensional polytopes, the 4-dimensional analogues of the 3-dimensional polyhedra. This is the result of t...

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

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

This was generated by Mathematica using the following code: f[u_, v_] := {u, v, u^2 - v^2}; scale = 40; radius = 0.75; numPoints = 24; gridSteps =...

This is the trefoil knot, printed out in a shape that will smoothly roll across the table!