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user_guide:tutorials:pcom [2019/01/25 09:38] – ↷ Page moved from user_guide:pcom to user_guide:tutorials:pcom oroehrig | user_guide:tutorials:pcom [2019/02/04 22:55] (current) – external edit 127.0.0.1 | ||
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- | ==== Polyhedral complexes in polymake ==== | + | {{page> |
- | Polyhedral complexes are contained in the application '' | ||
- | < | ||
- | > application " | ||
- | </ | ||
- | To define polyhedral complexes in '' | ||
- | |||
- | < | ||
- | fan > $pc1 = new PolyhedralComplex(POINTS=> | ||
- | </ | ||
- | |||
- | Since some of the input polytopes may be redundant, you should ask for the '' | ||
- | |||
- | < | ||
- | fan > print $pc1-> | ||
- | {0 1 2} | ||
- | {2 3} | ||
- | </ | ||
- | |||
- | {{ user_guide: | ||
- | |||
- | === Triangulations === | ||
- | Triangulations of polytopes form an important special class of polytopal complexes. | ||
- | < | ||
- | fan > $c=cube(3); | ||
- | fan > $triangulation=new PolyhedralComplex(VERTICES=> | ||
- | </ | ||
- | === Voronoi Diagrams and regular subdivisions=== | ||
- | There are seperate tutorials for [[voronoi|Voronoi diagrams]] and [[regular_subdivisions|regluar subdivisions]] of point sets. |