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.

My video on non-euclidean ray-marching virtual reality (joint work with Roice Nelson and Michael Woodard) was one of four winners of the NSF's "We Are Mathematics" competition!

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.

Just remembered that I ordered @henryseg's book yonks ago and hadn't checked my pigeon hole since. Getting stuck in now!

Here’s a video on simulating a non-euclidean space in virtual reality with ray marching. This project is joint work with Michael Woodard and Roice Nelson.

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.

Marble Marcher ( game of guiding a marble across a dynamically changing fractal surface.

I don't think I have the GPU power to run this properly myself, but it looks intriguing. The key is to use the recursive structure of the fractal to make a data structure that can handle the interactions between the marble and the fractal surface quickly enough to run in realtime.


I'll be giving an online webinar on my work, and how to make stereographic projection light sculptures in Rhinoceros (the 3D software I use), November 19, 2018, 8:00AM-10:00AM PST.

The Institute for Computational and Experimental Research in Mathematics at Brown University has six post doctoral positions available for our Illustrating Mathematics Fall 2019 semester program. Please apply if you are a recent PhD with an interest in mathematical illustration!

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

‪This time I automated the squares layout and associated html/css with python, so it will be much easier to update in the future!‬

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