Opened 12 months ago
Last modified 5 weeks ago
#27728 new enhancement
Non-rational polytopes: Examples and constructor
| Reported by: | jipilab | Owned by: | |
|---|---|---|---|
| Priority: | major | Milestone: | |
| Component: | geometry | Keywords: | polytopes, non-rational |
| Cc: | Winfried, jipilab, gh-sebasguts, mkoeppe, vdelecroix | Merged in: | |
| Authors: | Jean-Philippe Labbé | Reviewers: | |
| Report Upstream: | N/A | Work issues: | |
| Branch: | Commit: | ||
| Dependencies: | #25097,#29065 | Stopgaps: |
Description
Having #25097 at hand, we can now look at more complicated constructions of polytopes.
Perles and Grünbaum gave examples using Gale diagrams, see Section 5.4 of Convex polytopes of Grünbaum and Section 7 of Lectures on Polytopes of Ziegler.
Perles configuration and the projective construction of sqrt(2) (see Exercise 4 in §5.4) give several nice examples of non-rational polytopes.
This ticket provides these polytopes and explain the construction in a tutorial.
Change History (3)
comment:1 Changed 12 months ago by
- Dependencies set to #25097
comment:2 Changed 10 months ago by
- Milestone sage-8.8 deleted
comment:3 Changed 5 weeks ago by
- Dependencies changed from #25097 to #25097,#29065
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