Gripping gears: two gears mesh with and rotate around each other, with no axles and no frame. Joint work with Will Segerman and Sabetta Matsumoto. Full video at https://youtu.be/ENFXnNtd3xU
Extensor cube in motion! Made by @christianp at the Talking Maths in Public conference today.
In this blog from our archives, @mscroggs talks about @henryseg's book on how 3D printing can help with our understanding of geometry! http://chalkdustmagazine.com/blog/visual-mathematics-3d-printing/
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.
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.
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):
Some new hyperbolic designs, and much more, available in T-shirt form from https://www.neatoshop.com/artist/Henry-Segerman
Mathematician working mostly in three-dimensional geometry and topology, and mathematical artist working mostly in 3D printing and virtual reality.
A Mastodon instance for maths people. The kind of people who make \(\pi z^2 \times a\) jokes.
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