Added an option to view the edges of the tetrahedra in our Cannon-Thurston map explorer. This should make it easier to (eventually) explain a bit how the images are generated.

GPUs are amazing. I generated these images at a full resolution of 12,288 x 24,576, each one taking a couple of minutes. My old python code would have taken most of a month to generate each of these!

There's still work to do, but our Cannon-Thurston map explorer web app is already lots of fun to play around with. You can rotate the view with WASD and move with the arrow keys. The controls tab has lots of other options: different triangulations, colouring choices, etc. With Saul Schleimer and David Bachman.

This won't make much sense unless you're a three-manifold topologist. But in case you are, Saul Schleimer and I made a census of the first 87047 transverse veering structures, together with some analysis, and two styles of pictures of the first 5699 of them.

Edmund Harris and I built a MathMechs extensor diamond lattice inside of a Curvahedra Schwarz D surface.

I updated my website to link to a few new things. There’s also a new page collecting together my virtual reality projects.

Working on the video for our extensor™ construction kit - accidentally producing music!

Our extensor™ construction kit is now available to purchase from!

This animation shows one of the key principles of the extensor system: the extending motion can “turn corners” to make larger expanding structures.

Our extensors mechanism construction kit is almost ready to ship! It will be available from This animation shows one of the basic principles - you can "unwrap" a standard scissor linkage around its axis of symmetry to make "branched" scissor linkages.

Animated version of my Geared Jitterbug (joint work with @sabetta) I learned how to make this kind of animation in Rhino/Grasshopper at Construct3d conference over the weekend, with some help from Edmund Harriss.

We finally have a name for this expanding mechanism! Now I'm working on the rest of the box design, the instructions booklet and the website.

The configuration with the biggest expansion factor is probably diamond structure.

It can be put together to make various geometric structures, such as the dodecahedron.

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