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plotting 5,8,16,24,120 and 600-cells

How would one go about plotting these shapes in sage? I think it's using polytopes. but I haven't found ones for 16-cell and 120-cell.

Also is this correct?

5-cell = n_simplex(4)

8-cell = n_cube(4)

24-cell = twenty_four_cell

600-cell = six_hundred_cell