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The 4-cube has 8 facets:

sage: P = polytopes.n_cube(4) 
sage: P.f_vector()
(1, 16, 32, 24, 8, 1)

And plot of a projection into 3-d:

sage: P.plot()

I don't think the 120 cell is implemented. The 16-cell is polytopes.cross_polytope(4)