Earth and Moon once were a single body.
There are several ways of developing the surface of a polyhedron into a single connected sheet. There are also several ways of dissecting into multiple flakes. Then, is there a way to dissect the surface of a polyhedron into multiple developments of smaller polyhedra?
Here is an example.
1. Build a cube from this development.
2. Dissect the surface along the white lines.
3. You will get two developments. A large cubic Earth and a small Moon!!!
See www2.chem.nagoya-u.ac.jp/theochem/wiki/wiki.cgi/matto?pag... for more examples.
Getting multiple developments from single polyhedron is a very hard puzzle. Try it!