New video: documenting the build of the Mathemalchemy project at Duke University. The installation will tour the US and internationally, starting at the National Academy of Sciences, January 2022.,

A paper almost a decade in the making, now in the Notices of the American Mathematical Society. In 2012, Marco Paoletti asked me a question about rolling acrobatic apparatus. Answering this led to new designs, one of which was fabricated by Lee Brasuell and is now being performed with.

This is a kind of cover of the dodecahedron: locally the graph is exactly the same as the dodecahedron - here the six-colouring of the edges of this dodecahedron lifts to the lattice in RP^3.

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A sculpture I built with Sabetta Matsumoto and Chaim Goodman-Strauss. This is a lattice in RP^3 made from two set of vertices from the 600-cell. Each edge connects a vertex from one 600-cell to a vertex from the other.

Sliding tiles for an upcoming puzzle. This time I (desktop) 3D printed numerals to glue into indentations on the (Shapeways) 3D printed tiles. Thanks to my brother Will Segerman for the idea to do it this way. Much neater than hand painting!

Derek Muller's latest Veritasium video is simply amazing! In half an hour he accurately explains Cantor, Gödel, and Turing, with beautiful animations. All the more amazing given that his original background is physics

Dodecahedral holonomy maze just in from Shapeways, looks like it works! This one should be much harder to solve than the octahedral versions.

New post: The constructive solid geometry of piecewise-linear functions

Or, how the paper that I thought I was writing fell apart and I rescued it by proving a different but related result.

Working on a dodecahedral holonomy maze design. This will be much harder, with 120 nodes in the maze (up from 24 in the original octahedral version).

If you go around a loop on a curved surface, you come back rotated - this effect is called “holonomy”. The green piece cannot rotate in place; you must use holonomy to dodge its arms around the pegs blocking its way and escape the maze!
Full video:

Just in time for , 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: More details at

If you’d like a little negative curvature with your classic sliding-tile brainteaser: introducing the 15+4 puzzle. YouTube video:

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.

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 to turn TeX into handwritten maths

This sculpture (designed by Chaim Goodman-Strauss) has something to do with it!

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