Just in time for #StarWarsDay, a new 3D printed puzzle. Use the 4th (dimension) to solve it!
Mathemalchemy: a collaboration between 24 mathematicians and mathematical artists, to create an installation celebrating the beauty and creativity of mathematics. Video: https://youtu.be/8QQywzbGAU8 More details at mathemalchemy.org
Call for papers on "The Art of Mathematical Illustration"! Edmund Harriss and I are guest editors for this special issue of The Journal of Mathematics and the Arts. The deadline for submissions is June 1st 2021. https://think.taylorandfrancis.com/special_issues/art-mathematical-illustration/
You, a tech startup with millions in angel finance: made an app to turn handwritten maths into TeX.
Me, just the worst kind of smart alec: convinced a pen #plotter to turn TeX into handwritten maths
For some reason, I just like watching Lloyd's algorithm (https://en.wikipedia.org/wiki/Lloyd%27s_algorithm) in animated form.
This sculpture (designed by Chaim Goodman-Strauss) has something to do with it!
My latest puzzle (a belated Christmas present to myself) is the Hanayama Twist. I'm very pleased with it: an elegant symmetric two-piece design, solid feel in the hand, and a solution that is surprisingly complicated but not tediously long. My only complaint is that the solution is very linear, with almost no ways to go wrong if you keep moving on from things you've already done. Anyway here's a map I drew to help me, also used as an example of an implicit graph in my graph algorithms lectures.
Think of a number, and keep a running total starting at 0. Each turn, add your number on to the total. Then, if the old total was a multiple of your number, add one to your number. Otherwise, subtract 1.
The game ends when your number is 1.
Which starting numbers eventually get to 1? In the video, it looks like starting at 4 doesn't, but starting at 2 does.
My new sequence, https://oeis.org/A338807, lists the numbers that eventually reach 1. I'd love to know if there's a pattern!
Complete classification of tetrahedra whose angles are all rational multoples of \(\pi\): https://threadreaderapp.com/thread/1333670741590503425.html, via https://aperiodical.com/2020/12/aperiodical-news-roundup-november-2020/
The original paper is "Space vectors forming rational angles", https://arxiv.org/abs/2011.14232, by Kiran S. Kedlaya, Alexander Kolpakov, Bjorn Poonen, and Michael Rubinstein
I've got a new sequence in the OEIS. It's to do with a really simple number game I made up. Here's a video explaining the rules
An animation for Craig Kaplan’s #SwirledSeries art project, with Saul Schleimer. Here we fly through a cohomology fractal that happens to contain a checkerboard. You can explore it at https://henryseg.github.io/cohomology_fractals (Open controls, go to the "cool examples" census, and choose "t12047".)
Mathematician working mostly in three-dimensional geometry and topology, and mathematical artist working mostly in 3D printing and virtual reality.
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