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

asked 2012-08-13 23:24:22 -0500

anonymous user

Anonymous

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

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answered 2012-08-14 09:04:22 -0500

Volker Braun gravatar image

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)

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Asked: 2012-08-13 23:24:22 -0500

Seen: 111 times

Last updated: Aug 14 '12