A 24-cell
The vertices of the 24-cell, that is one of the six regular polytopes in dimension 4, are the centres of the faces of dimension 2 of a hypercube, here represented with a Schlegel diagram. In the figure, we see the cuboctahedron whose vertices coicide with 12 vertices of the 24-cell, and one of the octahedra that form the 24-cell.
© matematita
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24-cell (4D geometry)
