Diana Davis’s Beautiful Pentagons: https://blogs.scientificamerican.com/roots-of-unity/diana-davis-beautiful-pentagons/
I briefly mentioned her regular-pentagon billiards-trajectory art in https://mathstodon.xyz/@11011110/101530712079779913 but now Evelyn Lamb has a much more detailed column on her and her work.
Amazing video: how to cheat at a Battleships-like game in Zelda Wind Waker. Featuring a tool developed by speed runners that uses knowledge of the pseudo-random number generator in the game, probability distributions, and deliberately losing the first game. https://youtu.be/1hs451PfFzQ
A not-entirely-successful prototype of a 3D sliding block puzzle system - Rook cubes: https://youtu.be/ln_AQkjjYDc
What happens when half a cellular automaton runs Conway's Game of Life and the other half runs a rolling version of Rule 30 pushing chaos across the border? https://www.youtube.com/watch?v=IK7nBOLYzdE, via https://news.ycombinator.com/item?id=22723884
I wish I could see a larger scale of time and space to get an idea of how far the effects penetrate. If the boundary emitted gliders at a constant rate they'd collide far away in a form of ballistic annihilation but the boundary junk and glider-collision junk makes it more complicated.
A variant of the classic 15-puzzle, where the puzzle is coiled around a cylinder. Unlike the original, this version is solvable because of the extra connection between the first and sixteenth squares of the frame. YouTube: https://youtu.be/rfAEgxNEOrQ
Oskar van Deventer is an amazingly prolific puzzle designer - he designed this sliding puzzle based on a strategy I suggested: How can four squares slide all around each other without coming apart? https://www.youtube.com/watch?v=G_RlsIe3-qk
The new 14-sided dice from the Dice Lab also works pretty well as a spinning top! Full video: https://youtu.be/0KnRtZgvKIw
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
We made lots of pretty figures!
Mathematician working mostly in three-dimensional geometry and topology, and mathematical artist working mostly in 3D printing and virtual reality.
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