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. https://henryseg.github.io/Cannon-Thurston

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! https://youtu.be/j8wx6Gol5YQ

This is cool - building towers and other structures from tennis balls:

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.

https://henryseg.github.io/Cannon-Thurston/

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

Try it for yourself at http://www.michaelwoodard.net/hypVR-Ray/, it even works on phones!

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. https://youtu.be/ivHG4AOkhYA

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. http://math.okstate.edu/people/segerman/veering.html

Wacław Szpakowski's stuff was so so good. Made a MeFi post about it.

https://www.metafilter.com/178755/Space-filling-curves-the-hard-way

Marble Marcher (https://codeparade.itch.io/marblemarcher) 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.

This looks like a relevant place to start on doing this for knots. https://en.m.wikipedia.org/wiki/Knot_(mathematics)#Framed_knot

Get a load of this font, Futuracha (Behance):

https://www.behance.net/gallery/5786587/Futuracha-the-font-free-download

Some new hyperbolic designs, and much more, available in T-shirt form from https://www.neatoshop.com/artist/Henry-Segerman

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. https://wiki.mcneel.com/visualizingmathematics#webinarvisualizing_mathematics_in_rhinoceros

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! https://www.mathjobs.org/jobs/jobs/11969

Mathematician working mostly in three-dimensional geometry and topology, and mathematical artist working mostly in 3D printing and virtual reality.

Joined Apr 2017