# Decomposing Regular Polyhedra

**Geometry**Level pending

For which regular polyhedra can you partition the vertices of the Polyhedra into some sets of 4 vertices such that each for each set of the 4 vertices, if we join every vertex to every other, we get a regular tetrahedron.

**(A)**: Icosahedron

**(B)**: Regular Tetrahedron

**(C)**: Cube

**(D)**: Dodecahedron

**(E)**: Octahedron