Math Monday: Passing a Cube Through Another Cube
It is an amazing fact that it’s mathematically possible to pass a cube through a hole in another cube of the same size. If you stand a cube up on a corner (with a diagonal vertical) and shine a light down on it, its shadow is a regular hexagon. If you calculate carefully, you’ll find that a square face of the cube can fit inside this hexagon with a bit of room to spare on all sides.