A common route for such a build relies on appropriately shaped 3D printed frame parts, with some kind of clear plastic for the 12 faces, and LED strips stuck to the inside of each of the 30 edges.

Mathematicians have spent more than 2,000 years dissecting the structure of the five Platonic solids—the tetrahedron, cube, octahedron, icosahedron, and dodecahedron—but there’s still a lot we don’t ...