We can look at the stellated cuboctahedron in two different ways:

The stellated cuboctahedron is simply the cube intersected with the octahedron! We can do this because the cube and the octahedron have a very special relationship with each other: They are duals. Cube: 6 faces, 8 vertices, 12 edges Octahedron: 8 faces, 6 vertices, 12 edges They share many of the same properties -- They also share the same polyhedra when they are truncated.  To see this, go back and take another look at the Cubocta Family.

The 5 Platonic Solids: 1 - 2 - 3 - 4 - 5
The 13 Semi-Regular Platonic Solids: 1 - 2 - 3 - 4 - 5 - 6 - 7 - 8 - 9 - 10 - 11 - 12 - 13
More With Platonic Solids: 1 - 2 - 3 - 4

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