Dodecahedron in two parts with a Icosahedron inside
Cube in two parts with a octahedron inside
Octahedron in two parts with a cube Inside
Icosahedron in two parts with a dodecahedron inside
Tetrahedron in two parts with a tetrahedron inside
Dodecahedron in two parts with a cube inside (no duals)
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Platonic Solids
Dodecahedron
Tetrahedron
Cube
Octahedron
Icosahedron