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### Hasse diagram of different dimensional cells of a polyhedron

I am trying to get a facet poset diagram of a polyhedron. What I want is an adjacency matrix describing the Hasse diagram/poset where vertices are cells, and two vertices are connected by an edge if one of their corresponding cells is contained in the other. So I want a Hasse diagram where the top row consists of a vertex the highest dimensional cell, then the next row consists of cells of one less dimension, and so on until the final row corresponding to vertices.

For instance, I have:

E=polytopes.dodecahedron().face_lattice() I don't know how to extract this kind of information from this. I want to be able to plot the cell poset diagram in some other software to look at it.

 2 None slelievre 16999 ●21 ●151 ●335 http://carva.org/samue...

### Hasse diagram of different dimensional cells of a polyhedron

I am trying to get a facet poset diagram of a polyhedron. polyhedron. What I want is an adjacency matrix describing the Hasse diagram/poset diagram/poset where vertices are cells, and two vertices are connected by an edge edge if one of their corresponding cells is contained in the other. other.

So I want a Hasse diagram where the top row consists of a vertex vertex for the highest dimensional cell, then the next row consists of of cells of one less dimension, and so on until the final row row corresponding to vertices.

For instance, I have:

E = polytopes.dodecahedron().face_lattice()


E=polytopes.dodecahedron().face_lattice() I don't know how to extract this kind of information from this. this.

I want to be able to plot the cell poset diagram in some other software to look at it.