The video wherein David Bachman, Saul Schleimer and I finally explain what these cohomology fractals are: https://youtu.be/fhBPhie1Tm0
A zoom through a selection of cohomology fractals. With David Bachman and Saul Schleimer, music by Vi Hart. https://youtu.be/-g1wNbC9AxI
Big update to https://henryseg.github.io/cohomology_fractals - we now have all of the manifolds in the orientable SnapPy census up to 7 tetrahedra, and sliders to make linear combinations of cohomology classes (try m129). With David Bachman and Saul Schleimer.
If you're around the Oxford area on January 30th, I'll be giving a public lecture at 5pm, details: http://maths.ox.ac.uk/node/34486
Braiding gears. Three gears are linked in a chain, but you can “braid” them, rearranging how they connect to each other. Full video at https://youtu.be/Lh7yAbw0H24
Today at lunch, I've learned about the Trash Compaction problem: Can you push objects on a grid into the compact shape of a rectangle if you're only allowed to push all objects from one side simultaneously. Akitaya, Aloupis, Löffler, and Rounds showed that the problem is NP-complete.
The fun variant of this problem talks about pushing around coconuts with a giant coconut pusher... Here are some neat slides: http://www.staff.science.uu.nl/~loffl001/publications/slides/trash_compaction.pdf
New paper on the arXiv today with Saul Schleimer, "From veering triangulations to link spaces and back again" https://arxiv.org/abs/1911.00006
Quasiperiodic bobbin lace patterns: https://arxiv.org/abs/1910.07935, Veronika Irvine, Therese Biedl, and Craig S. Kaplan, via https://twitter.com/bit_player/status/1185356703065354240 — aperiodic tilings in fiber arts.
The attached image is a photo of lace (not an illustration), braided into an Ammann–Beenker tiling pattern.
A variant of gripping gears adds “pass-through” holes so that a solid object can pass through the connection between the gears. Joint work with Will Segerman and Sabetta Matsumoto. Full video: https://youtu.be/RBZG8M8_a8Y
In which we show that the knots K13n592 and K15n41127 (pictured) both have stick number 10. These are the first non-torus knots with more than 9 crossings for which the exact stick number is known.
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
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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