A Mathematica demo I made of wandering around a parameter space of the convex hull of various scalings the vertices of a icosahedron, dodecahedron, and icosidodecahedron.

Given the right parameters, we can recover all Platonic and Catalan solids with full icosahedral symmetry.

Here's a 4-second video showing that little robot at work! ✍️🤖

Painted my flower pot with Truchet tiles. (1 of 7429)

(oeis.org/A368306)

Just this past month, I've been working with Pontus von Brömssen and Bert Dobbelaere on analogous problems for other space-filling polyhedra. Here are all of the ways of placing 4 cells (each 1/12 of a rhombic dodecahedron) of the rhombic pyramidal honeycomb face-to-face.

oeis.org/A385274

We played GoL with wraparound—so I showed them why we call this a torus too!

I'm a faculty member at "Camp Conway" this week and I was asked to give a talk during the morning session.

Of course, every student who goes to Camp Conway should come home knowing a little bit about Conway's Game of Life, so I made Conway's GoL starting with initial conditions of Conway.

Next step: buy a 3D printer and print a puzzle!