This page is read only. You can view the source, but not change it. Ask your administrator if you think this is wrong. ====== polymake User Guide ====== Welcome to the user guide! Here you will find tutorials for various computation tasks as well as technical information about polymake's inner workings. ===== First Steps ===== * [[intro_tutorial|Introduction Tutorial]]: Please read this first. * Further general information about how polymake works * [[.tutorials:perl_intro|Using Perl within polymake]] * [[shell|The polymake interactive shell]] * [[.tutorials:properties|Objects and Properties]] * If you plan on writing an **polymake extension**, you can find a user guide [[.extend:extensions|here]]. ===== Tutorials ===== ==== Application Tutorials ==== These are introductory tutorials for the applications on the different mathematical topics you can use ''polymake'' for. * [[.tutorials:apps_fan|fan]] for fans * [[.tutorials:apps_fulton|fulton]] for toric varieties * [[.tutorials:apps_graph|graph]] for graphs * [[.tutorials:apps_group|group]] for groups and their actions on polymake objects * [[.tutorials:apps_matroid|matroid]] for matroids * [[.tutorials:apps_polytope|polytope]] for polyhedra * [[.tutorials:apps_topaz|topaz]] for topology * [[.tutorials:apps_tropical|tropical]] for tropical geometry ==== More Specific Computations ==== === Geometry of polyhedra === * [[.tutorials:coordinates|Coordinates for Polyhedra]] * [[.tutorials:polytope_semantics|Polytope Semantics]] * [[.tutorials:transformations|Polytopes and Linear Maps]] === Optimization === * [[.tutorials:optimization|polymake and Optimization]] by Sebastian Pokutta and Marc E. Pfetsch * Integer Linear Programming tutorials: * [[.tutorials:ilp_and_hilbertbases|ILP and Hilbert bases]] * [[.tutorials:matching_polytopes|Matching polytopes]] * [[.tutorials:caratheodory|A Counter-example to an integer analogue to Caratheodory's Theorem]] * [[.tutorials:polymakeilp|Convex hulls and Lattice Points]] === Visualization === * [[.tutorials:visual_tutorial|Basic visualization tutorial]] * [[.tutorials:pdf|Embed interactive visualizations in PDF files]] === Miscellaneous === * [[.tutorials:regular_subdivisions|Regular Subdivisions]] * [[.tutorials:lattice_polytopes_tutorial|Lattice polytopes in polymake]] * [[.tutorials:face_lattice_tutorial|Face Lattices (of Polytopes)]] * [[.tutorials:pcom|Polyhedral complexes]] * [[.tutorials:voronoi|Voronoi diagrams]] * [[.tutorials:random|Random constructions]] * [[.tutorials:polynomials_tutorial|Computing with polynomials]] * [[.tutorials:aut_of_graphs|Automorphisms of graphs]] * [[.tutorials:chain_complex_homology|General chain complexes and their homology]] * [[.tutorials:persistent_homology|Persistent Homology]] * {{tutorial:flowtest.pdf|1-flowing matroids (pdf)}} by [[https://research-repository.uwa.edu.au/en/persons/gordon-royle|Gordon F. Royle]] * [[.tutorials:mega2013|Wronski Polynomial Systems with polymake and Singular (Mega2013 submission)]] * [[.tutorials:patchwork|Patchworking real tropical hypersurfaces]] ===== Technical Guides ===== * [[.tutorials:data|Save and load data in polymake]] * [[.tutorials:tarballs|Save and load an array of polytopes]] * [[.tutorials:time|Measure execution time]] * [[.tutorials:legacy|If you have not used polymake in a very long time]] ==== Configuration and tweaking ==== * [[install:configure|Configuring polymake for a group of users]] * [[.howto:shell_custom|Customizing the polymake interactive shell]] * [[user_guide:howto:interface_config| Configure interfaces to other software]] * [[user_guide:howto:jupyter|Using polymake with jupyter]] ==== Advanced Users ==== Learn how to extend polymake. * [[.howto:scripting|Scripting]] for "power users" * [[.extend:clients|Writing C++ clients]] * [[.howto:matrix_classes|Dealing with matrices and vectors]] * [[:callable|Using the Callable Library]] * [[.extend:rulefiles|Writing rule files]] * [[.extend:unit_tests|Writing unit tests]] * [[.extend:extensions|Writing and using extensions]] * [[.extend:upgrade_rules|Dealing with data model changes]] Details on selected topics, also linked from general pages above. * [[.extend:rules|Production rules]] * [[.extend:help_formatting|Formatting help blocks]] * [[.extend:permutations|Permutations]] * [[.extend:polymorphic|Polymorphic functions]] * [[.extend:cpp_type_binding|Property type binding to C++ classes]] ===== Developers Corner ===== * [[dev_corner:start|Guides for developers]] user_guide/start.txt Last modified: 2024/02/03 09:59by weis