//polymake.org/ 2026-09-18T08:06:32+00:00 //polymake.org/ //polymake.org/lib/exe/fetch.php/favicon.ico text/html 2019-05-21T10:49:03+00:00 Anonymous (anonymous@undisclosed.example.com) //polymake.org/doku.php/documentation/common?rev=1558435743&do=diff application common This artificial application gathers functionality shared by many “real” applications. While most users can probably do without looking into this, you may find some useful functions here. Objects PermBase PolyDB::Client PolyDB::Collection PolyDB::Cursor Visual::Container Visual::Object jreality()povray() Functions <a id="ceil"></a><a id="denominator"></a><a id="div"></a><a id="div_exact"></a><a id="ext_gcd"></a><a id="fac"></a><a id="floor"></a><a id="gcd"></a><a id="get_va… text/html 2019-05-21T10:49:03+00:00 Anonymous (anonymous@undisclosed.example.com) //polymake.org/doku.php/documentation/core?rev=1558435743&do=diff application core Core functionality available in all applications. Objects Core::BigObject Core::RuleChain get_scheduleSchema saveprescribe_property_types Functions Basic These functions are part of the core user interface. They are available in both scripting and interactive modes. ---------- <a id="application"></a> application(String name)nameApplication<a id="disable_rules"></a><a id="include"></a><a id="load"></a><a id="load_data"></a><a id="prefer"></a><a id="prefer_now"></a><a id="… text/html 2019-05-21T10:49:03+00:00 Anonymous (anonymous@undisclosed.example.com) //polymake.org/doku.php/documentation/fan?rev=1558435743&do=diff application fan This application deals with polyhedral fans. You can define a fan, e.g. via its RAYS and MAXIMAL_CONES and compute several properties like HASSE_DIAGRAM and F_VECTOR. imports from: commongraphpolytope uses: groupidealtopaz Objects DisjointStackyFan HyperplaneArrangement HYPERPLANESCHAMBER_DECOMPOSITIONPlanarNet PolyhedralComplex PolyhedralFanPolytopeConePolyhedralFan INPUT_RAYSINPUT_CONESRAYSLINEALITY_SPACESubdivisionOfPoints SubdivisionOfVectorsPointConfigurationVectorConfigu… text/html 2019-05-21T10:49:03+00:00 Anonymous (anonymous@undisclosed.example.com) //polymake.org/doku.php/documentation/fulton?rev=1558435743&do=diff application fulton This application deals with normal toric varieties as discussed in the famous book William Fulton: Introduction to toric varieties. imports from: commonfangraphidealpolytope uses: grouptopaz Objects CyclicQuotient NormalToricVariety RationalDivisorClassGroup N_RAYSDIMTDivisor TVersalComponent CyclicQuotient Functions Combinatorics Combinatorial functions. ---------- <a id="polytope_of_divisor_class"></a><a id="lower_lattice_points"></a><a id="cf2rational"></a><a id="rat… text/html 2019-05-21T10:49:03+00:00 Anonymous (anonymous@undisclosed.example.com) //polymake.org/doku.php/documentation/graph?rev=1558435743&do=diff application graph The application graph deals with directed and undirected graphs. They can be defined abstractly as a set of nodes and EDGES or as part of a larger structure for instance as the vertex-edge graph of a polytope. imports from: common Objects GeometricGraph Graph PartiallyOrderedSet PhylogeneticTree Visual::Graph Visual::Lattice Functions Combinatorics <a id="all_spanningtrees"></a><a id="complement_graph"></a><a id="connectivity"></a><a id="eigenvalues_laplacian"></a><a id="f… text/html 2019-05-21T10:49:03+00:00 Anonymous (anonymous@undisclosed.example.com) //polymake.org/doku.php/documentation/group?rev=1558435743&do=diff application group The application group provides basic functionality for working with permutation groups. An object of type Group records the abstract properties of the groups that do not depend on any particular representation, such as ORDER, CHARACTER_TABLE and CONJUGACY_CLASS_SIZES. Moreover, it can contain several subobjects of type <a id="are_in_same_orbit"></a><a id="orbit"></a><a id="orbit_permlib"></a><a id="orbit_representatives"></a><a id="orbits_in_orbit_order"></a><a id="orbits_o… text/html 2019-05-21T10:49:03+00:00 Anonymous (anonymous@undisclosed.example.com) //polymake.org/doku.php/documentation/ideal?rev=1558435743&do=diff application ideal This application allows to define ideals and enables other applications to use these. For example we can compute the tropical variety of an ideal via gfan in the application 'tropical'. Using this application with the bundled extension Singular adds a lot more commutative algebra power.<a id="bracket_ideal_pluecker"></a><a id="pluecker_ideal"></a><a id="load_singular_library"></a><a id="singular_eval"></a><a id="singular_get_var"></a><a id="slack_ideal_non_saturated"></a><a i… text/html 2019-05-21T10:49:03+00:00 Anonymous (anonymous@undisclosed.example.com) //polymake.org/doku.php/documentation/index?rev=1558435743&do=diff Index applications commoncorefanfultongraphgroupidealmatroidpolytopetopaztropical Index of all things NameApplicationObject classCategory_4ti2Circuits(Matrix A)matroidFunctionsCombinatoricsABSTRACT_OBJECTIVEpolytopeproperty of LinearProgramno categoryAccurateFloatcommonProperty_typesBasic TypesActiongroupObjectsno categoryaction<action_type>(Any g, Any O)groupFunctionsUtilitiesaction_from_generators(Array<Array<Int>> gens, Group action)groupFunctions text/html 2019-05-21T10:49:03+00:00 Anonymous (anonymous@undisclosed.example.com) //polymake.org/doku.php/documentation/matroid?rev=1558435743&do=diff application matroid Matroids encode the concept of “(in)dependence” in an abstract way. You can define matroids via vector configurations or graphs, do basic conversions between different descriptions and perform basic operations such as deletions and contractions.<a id="check_transversality"></a><a id="is_nested_matroid"></a><a id="_4ti2circuits"></a><a id="contraction"></a><a id="deletion"></a><a id="direct_sum"></a><a id="dual"></a><a id="free_extension"></a><a id="higgs_lift"></a><a id="i… text/html 2019-05-21T10:49:03+00:00 Anonymous (anonymous@undisclosed.example.com) //polymake.org/doku.php/documentation/polytope?rev=1558435743&do=diff application polytope This is the historically first application, and the largest one. It deals with convex pointed polyhedra. It allows to define a polyhedron either as a convex hull of a point set, an intersection of halfspaces, or as an incidence matrix without any embedding. Then you can ask for a plenty of its (especially combinatorial) properties, construct new polyhedra by modifying it, or study the behavior of the objective functions. There is a wide range of visualization methods f… text/html 2019-06-28T12:46:56+00:00 Anonymous (anonymous@undisclosed.example.com) //polymake.org/doku.php/documentation/start?rev=1561726016&do=diff polymake Reference Documentation Welcome to the polymake reference documentation for branch release/4.15. Here you can find the documentation of all objects and functions polymake has to offer. For download and installation instructions, visit the downloads page. For tutorials on usage and comprehensive examples please refer to the text/html 2019-05-21T10:49:03+00:00 Anonymous (anonymous@undisclosed.example.com) //polymake.org/doku.php/documentation/topaz?rev=1558435743&do=diff application topaz The TOPology Application Zoo deals with abstract simplicial complexes. A complex is given as a list of facets. You can ask for its global properties (manifold recognition, homology groups, etc.), explore the local vertex environment (stars, links, etc.), and make a lot of constructions. The visualization means are constrained, as they are mostly based on the <a id="find_facet_vertex_permutations"></a><a id="isomorphic"></a><a id="pl_homeomorphic"></a><a id="alexander_dual"… text/html 2019-05-21T10:49:03+00:00 Anonymous (anonymous@undisclosed.example.com) //polymake.org/doku.php/documentation/tropical?rev=1558435743&do=diff application tropical This application concentrates on tropical hypersurfaces and tropical polytopes. It provides the functionality for the computation of basic properties. Visualization and various constructions are possible. imports from: commongraph uses: fangroupidealmatroidpolytopetopaz Objects CovectorLattice Curve Cycle VERTICESLINEALITY_SPACEnPROJECTIVE_VERTICESthomogHypersurface MONOMIALSLinesInCubic lines_in_cubic.........visualize_in_surfaceMatroidRingCycle NESTED_PRESENTATIONSNESTE…