[trevortheblack]

> 21. In two dimensions, there are infinitely many regular polygons. In three dimensions, there are five Platonic solids. In four dimensions, there are six platonic polychora. In all higher dimensions than four, there are only ever three regular polytopes. (Maths 1001, Richard Elwes)

This implies that Platonic Solids are the 3D analogue of the 2D regular polygon. This is not the case.

The Platonic Solids are merely all of the convex solid regular polyhedra. When the caveats are removed there are (at least) 48 regular polyhedra: https://www.youtube.com/watch?v=_hjRvZYkAgA