Revision history [back]
 | 1 | initial version |
If by "visualize" you mean "give a geometric realization of" then I think that the answer should be "no" as I rather suspect that there are high-dimensional combinatorial polytopes that have no geometric realization. Even for three-dimensional polytopes the realization problem is involved - there are several layout algorithms for planar graphs. (There is at least one such implemented in sage - see:
http --- fix --- doc.sagemath.org/html/en/reference/plotting/sage/graphs/graph_plot.html
). On the other hand, if you want to see the face poset in a graphical way, this is much easier. For example see this post:
https --- fix --- sheaves.github.io/Subgroup-Lattice/
and pay attention to the "plot" method of a Poset.
| | 2 | No.2 Revision |
If by "visualize" you mean "give a geometric realization of" then I think that the answer should be "no" as I rather suspect that there are high-dimensional combinatorial polytopes that have no geometric realization. Even for three-dimensional polytopes the realization problem is involved delicate - there are even several layout algorithms for planar graphs. (There is at least one such implemented in sage - see:
http --- fix --- doc.sagemath.org/html/en/reference/plotting/sage/graphs/graph_plot.html
). On the other hand, if you want to see the face poset in a graphical way, this is much easier. For example see this post:
https --- fix --- sheaves.github.io/Subgroup-Lattice/
and pay attention to the "plot" method of a Poset.
