At work in the aftermath of the Halloween snow storm, one of my colleagues brought in his son because school was closed.  I joined a math discussion between the boy and my boss Steve Heller on the subject of ways to think about products of the form (x + a) (x – a). Afterwards, Steve happened to mention that it was possible to inscribe a tetrahedron inside a cube, and a cube inside a dodecahedron.
The dodecahedron sounds difficult, but I decided to build a tetrahedron inside a cube.  The tetrahedron is cut out of a manilla folder, and the cube is made from a sheet protector.

Tetrahedron inscribed in a cube
Tetrahedron inscribed in a cube

Leave a Reply

Your email address will not be published. Required fields are marked *