#29186 closed enhancement (fixed)
Add simplicity and simpliciality to polyhedra
| Reported by: | gh-kliem | Owned by: | |
|---|---|---|---|
| Priority: | major | Milestone: | sage-9.1 |
| Component: | geometry | Keywords: | simplicity, simpliciality, polytopes |
| Cc: | jipilab, gh-LaisRast | Merged in: | |
| Authors: | Jonathan Kliem | Reviewers: | Jean-Philippe Labbé |
| Report Upstream: | N/A | Work issues: | |
| Branch: | 573dbfc (Commits, GitHub, GitLab) | Commit: | 573dbfc89f7b67015c6779e986159dcddf894c87 |
| Dependencies: | Stopgaps: |
Status badges
Description
In #27086 we have implemented simplicity and simpliciality for combinatorial polyhedra. We expose this methods in Polyhedron_base.
The methods return the largest k such that the polytope is k-simple/simplicial. In case of unbounded polyhedra a NotImplementedError is raised.
A polytope is k-simplicial if every k-face is a simplex. It is k-simple if its dual/polar is k-simplicial.
Change History (9)
comment:1 Changed 3 years ago by
- Branch set to public/29186
- Commit set to 34068512da0d10e02d27c32812d868517aba3a35
- Status changed from new to needs_review
comment:2 Changed 3 years ago by
- Reviewers set to Jean-Philippe Labbé
- Status changed from needs_review to needs_work
Some comments:
- Return the largest `k` such that the polytope is `k`-simple. - - Return the dimension in case of a simplex. - - A polytope `P` is `k`-simple, if every `(d-1-k)`-face - is contained in exactly `k+1` facets of `P` for `1 <= k <= d-1`. - - Equivalently it is `k`-simple if the polar/dual polytope is `k`-simplicial. + Return the largest integer `k` such that the polytope is `k`-simple. + + A polytope `P` is `k`-simple, if every `(d-1-k)`-face + is contained in exactly `k+1` facets of `P` for `1 <= k <= d-1`. + Equivalently it is `k`-simple if the polar/dual polytope is `k`-simplicial. + If `self` is a simplex, it returns its dimension.
similarly:
- Return the largest `k` such that the polytope is `k`-simplicial. - - Return the dimension in case of a simplex. - - A polytope is `k`-simplicial, if every `k`-face is a simplex. + Return the largest interger `k` such that the polytope is `k`-simplicial. + + A polytope is `k`-simplicial, if every `k`-face is a simplex. + If `self` is a simplex, returns its dimension.
Once this is fixed and the bots gives a green light, you can set this on positive review on my behalf.
comment:3 Changed 3 years ago by
- Branch changed from public/29186 to public/29186-reb
- Commit changed from 34068512da0d10e02d27c32812d868517aba3a35 to 297c6869b2a25f1508c5923d71ba6a2cbbf608f7
- Status changed from needs_work to needs_review
comment:4 Changed 2 years ago by
- Milestone changed from sage-9.1 to sage-9.2
Batch modifying tickets that will likely not be ready for 9.1, based on a review of the ticket title, branch/review status, and last modification date.
comment:5 Changed 2 years ago by
- Status changed from needs_review to needs_work
Small things:
+ is contained in exactly `k+1` facets of `P` for `1 <= k <= d-1`.
You can use \leq there.
Otherwise, looks good, once this is done you can put this on positive review on my behalf.
comment:6 Changed 2 years ago by
- Branch changed from public/29186-reb to public/29186-reb2
- Commit changed from 297c6869b2a25f1508c5923d71ba6a2cbbf608f7 to 573dbfc89f7b67015c6779e986159dcddf894c87
comment:7 Changed 2 years ago by
- Status changed from needs_work to positive_review
comment:8 Changed 2 years ago by
- Branch changed from public/29186-reb2 to 573dbfc89f7b67015c6779e986159dcddf894c87
- Resolution set to fixed
- Status changed from positive_review to closed
comment:9 Changed 2 years ago by
- Milestone changed from sage-9.2 to sage-9.1
New commits:
added simplicity and simpliciality to polyhedra