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Timeline for Untruncate permutohedron of order 5

Current License: CC BY-SA 4.0

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May 27, 2020 at 20:12 comment added M. Winter Maybe this helps: the 4-dimensional permutahedron is also known as the omnitruncated 4-simplex which belongs to the class of $A_4$-polytopes. Go trough the list of these polytopes, maybe one of these fits your purpose. The omnitruncated one is the "most truncated version" of all of these, so Yes, you can "untruncate" it in some sense.
May 19, 2020 at 17:24 comment added Bipolar Minds @F.C. Oh, I see. So, there is no 4-polytope analogue of the polyhedron of degree 5, s.t. "commutative squares" like {12345,21345,12435,21435} are contracted?
May 19, 2020 at 16:49 comment added F. C. For the next permutohedron, the squares are no longer facets, so one cannot just remove the squares by removing the associated inequalities defining the polytope, as was the case in dimension 3.
May 19, 2020 at 15:38 history asked Bipolar Minds CC BY-SA 4.0