Hi there,
We are interested in checking whether the 2-skeletons of two distinct polytopes are isomorphic (as posets). We understand that we can get the face_lattice of each of the polytope, but we don't know who to produce a poset which contains the 2-skeleton for each polytope so that we can use the function is_isomorphic for posets?
Thank you in advance, and regards, Guillermo
You can restrict the face_lattice poset by using the subposet method to restrict the poset to elements corresponding to 0-faces, 1-faces and 2-faces as follows: if P is your polytope, you can do:
sage: PP = P.face_lattice()
sage: P2 = PP.subposet(P.faces(0)+P.faces(1)+P.faces(2))
Then, if you do the same with another polytope Q, you can then check:
sage: P2.is_isomorphic(Q2)
Asked: 2015-08-13 09:19:02 +0100
Seen: 360 times
Last updated: Aug 13 '15
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