Decomposing Regular Polyhedra

Geometry Level 4

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


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