Index [polymake wiki]

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====== Index ======
===== applications =====
   * [[.:common|common]]
   * [[.:core|core]]
   * [[.:fan|fan]]
   * [[.:fulton|fulton]]
   * [[.:graph|graph]]
   * [[.:group|group]]
   * [[.:ideal|ideal]]
   * [[.:matroid|matroid]]
   * [[.:polytope|polytope]]
   * [[.:topaz|topaz]]
   * [[.:tropical|tropical]]
===== Index of all things =====
<sortable 1>
^Name^Application^Object class^Category^
|**''[[.:matroid#_4ti2Circuits |_4ti2Circuits]]([[.:common#Matrix |Matrix]] A)''**|[[.:matroid|matroid]]|Functions|Combinatorics|
|**''[[.:polytope:LinearProgram#ABSTRACT_OBJECTIVE |ABSTRACT_OBJECTIVE]]''**|[[.:polytope|polytope]]|property of LinearProgram|no category|
|**''[[.:common#AccurateFloat |AccurateFloat]]''**|[[.:common|common]]|Property_types|Basic Types|
|**''[[.:group:Action#Action |Action]]''**|[[.:group|group]]|Objects|no category|
|**''[[.:group#action |action]]<action_type>(Any g, [[.:core:Core_Object |Core::Object]] O)''**|[[.:group|group]]|Functions|Utilities|
|**''[[.:group#action_from_generators |action_from_generators]]([[.:common#Array |Array]]<[[.:common#Array |Array]]<[[.:common#Int |Int]]%%>>%% gens, [[.:group:Group |Group]] action)''**|[[.:group|group]]|Functions|Utilities|
|**''[[.:group#action_inv |action_inv]]<action_type>([[.:common#Array |Array]]<[[.:common#Int |Int]]> p, [[.:core:Core_Object |Core::Object]] O)''**|[[.:group|group]]|Functions|Utilities|
|**''[[.:group#action_to_cyclic_notation |action_to_cyclic_notation]]([[.:group:PermutationAction |PermutationAction]] a)''**|[[.:group|group]]|Functions|Utilities|
|**''[[.:common#Graph |add_edge]]([[.:common#Int |Int]] tail_node, [[.:common#Int |Int]] head_node)''**|[[.:common|common]]|method of Graph|no category|
|**''[[.:tropical#add_morphisms |add_morphisms]]([[.:tropical:Morphism |Morphism]] f, [[.:tropical:Morphism |Morphism]] g)''**|[[.:tropical|tropical]]|Functions|Morphisms|
|**''[[.:common#Graph |add_node]]()''**|[[.:common|common]]|method of Graph|no category|
|**''[[.:graph:Graph#ADJACENCY |ADJACENCY]]''**|[[.:graph|graph]]|property of Graph|no category|
|**''[[.:common#adjacency_matrix |adjacency_matrix]]([[.:common#Graph |Graph]] graph)''**|[[.:common|common]]|Functions|Graph Operations|
|**''[[.:common#Graph |adjacent_nodes]]([[.:common#Int |Int]] node)''**|[[.:common|common]]|method of Graph|no category|
|**''[[.:fulton:NormalToricVariety#AFFINE |AFFINE]]''**|[[.:fulton|fulton]]|property of NormalToricVariety|Algebraic Geometry|
|**''[[.:tropical:Cycle#affine_chart |affine_chart]]([[.:common#Int |Int]] chart)''**|[[.:tropical|tropical]]|method of Cycle|Affine and projective coordinates|
|**''[[.:polytope#affine_float_coords |affine_float_coords]]([[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Coordinate conversions|
|**''[[.:fan:PolyhedralComplex#AFFINE_HULL |AFFINE_HULL]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Geometry|
|**''[[.:polytope:Polytope#AFFINE_HULL |AFFINE_HULL]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope:PointConfiguration#AFFINE_HULL |AFFINE_HULL]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Geometry|
|**''[[.:tropical#affine_linear_space |affine_linear_space]]<Addition>([[.:common#Matrix |Matrix]]<[[.:common#Rational |Rational]]> lineality, [[.:common#Vector |Vector]]<[[.:common#Rational |Rational]]> translate, [[.:common#Integer |Integer]] weight)''**|[[.:tropical|tropical]]|Functions|Creation functions for specific cycles|
|**''[[.:tropical:Morphism#affine_representation |affine_representation]]([[.:common#Int |Int]] domain_chart, [[.:common#Int |Int]] target_chart)''**|[[.:tropical|tropical]]|method of Morphism|Affine and projective coordinates|
|**''[[.:tropical#affine_transform |affine_transform]]([[.:tropical:Cycle |Cycle]]<Addition> C, [[.:common#Matrix |Matrix]]<[[.:common#Rational |Rational]]> M, [[.:common#Vector |Vector]]<[[.:common#Rational |Rational]]> T)''**|[[.:tropical|tropical]]|Functions|Basic polyhedral operations|
|**''[[.:tropical#affine_transform |affine_transform]]([[.:tropical:Cycle |Cycle]]<Addition> C, [[.:tropical:Morphism |Morphism]]<Addition> M)''**|[[.:tropical|tropical]]|Functions|Basic polyhedral operations|
|**''[[.:polytope:AffineLattice#AffineLattice |AffineLattice]]<Scalar>''**|[[.:polytope|polytope]]|Objects|Geometry|
|**''[[.:tropical:Morphism#after |after]]([[.:tropical:Morphism |Morphism]] g)''**|[[.:tropical|tropical]]|method of Morphism|Morphisms|
|**''[[.:matroid#ag23_matroid |ag23_matroid]]()''**|[[.:matroid|matroid]]|Functions|Producing a matroid from scratch|
|**''[[.:matroid#ag32_matroid |ag32_matroid]]()''**|[[.:matroid|matroid]]|Functions|Producing a matroid from scratch|
|**''[[.:matroid#ag32_prime_matroid |ag32_prime_matroid]]()''**|[[.:matroid|matroid]]|Functions|Producing a matroid from scratch|
|**''[[.:topaz#alexander_dual |alexander_dual]]([[.:topaz:SimplicialComplex |SimplicialComplex]] complex)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:common#Graph |all_edges]]([[.:common#Int |Int]] tail_node, [[.:common#Int |Int]] head_node)''**|[[.:common|common]]|method of Graph|no category|
|**''[[.:tropical:LinesInCubic#all_families |all_families]]()''**|[[.:tropical|tropical]]|method of LinesInCubic|Lists of lines|
|**''[[.:group:Action#ALL_GROUP_ELEMENTS |ALL_GROUP_ELEMENTS]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:group#all_group_elements |all_group_elements]]<Scalar>([[.:group:MatrixActionOnVectors |MatrixActionOnVectors]]<Scalar> action)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:group#all_group_elements |all_group_elements]]([[.:group:PermutationAction |PermutationAction]] a)''**|[[.:group|group]]|Functions|Utilities|
|**''[[.:tropical:LinesInCubic#all_isolated |all_isolated]]()''**|[[.:tropical|tropical]]|method of LinesInCubic|Lists of lines|
|**''[[.:common#all_permutations |all_permutations]]([[.:common#Int |Int]] n)''**|[[.:common|common]]|Functions|Combinatorics|
|**''[[.:common#all_rows_or_cols |all_rows_or_cols]]''**|[[.:common|common]]|Property_types|Algebraic Types|
|**''[[.:graph#all_spanningtrees |all_spanningtrees]]([[.:graph:Graph |Graph]] G)''**|[[.:graph|graph]]|Functions|Combinatorics|
|**''[[.:polytope#all_steiner_points |all_steiner_points]]([[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Geometry|
|**''[[.:common#all_subsets_of_k |all_subsets_of_k]](Any c, [[.:common#Int |Int]] k)''**|[[.:common|common]]|Functions|Set Operations|
|**''[[.:fulton:VersalComponent#ALPHA_LATTICE |ALPHA_LATTICE]]''**|[[.:fulton|fulton]]|property of VersalComponent|Combinatorics|
|**''[[.:group#alternating_group |alternating_group]]([[.:common#Int |Int]] d)''**|[[.:group|group]]|Functions|Producing a group|
|**''[[.:fan:SubdivisionOfVectors#ALTSHULER_DET |ALTSHULER_DET]]''**|[[.:fan|fan]]|property of SubdivisionOfVectors|no category|
|**''[[.:polytope:Cone#ALTSHULER_DET |ALTSHULER_DET]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:fan:SubdivisionOfPoints#AMBIENT_DIM |AMBIENT_DIM]]''**|[[.:fan|fan]]|method of SubdivisionOfPoints|Geometry|
|**''[[.:fan:PolyhedralFan#AMBIENT_DIM |AMBIENT_DIM]]()''**|[[.:fan|fan]]|method of PolyhedralFan|Geometry|
|**''[[.:fan:PolyhedralComplex#AMBIENT_DIM |AMBIENT_DIM]]()''**|[[.:fan|fan]]|method of PolyhedralComplex|Geometry|
|**''[[.:tropical:VoronoiDiagram#AMBIENT_DIM |AMBIENT_DIM]]''**|[[.:tropical|tropical]]|property of VoronoiDiagram|no category|
|**''[[.:polytope:Polytope#AMBIENT_DIM |AMBIENT_DIM]]()''**|[[.:polytope|polytope]]|method of Polytope|Geometry|
|**''[[.:polytope:Cone#AMBIENT_DIM |AMBIENT_DIM]]()''**|[[.:polytope|polytope]]|method of Cone|Geometry|
|**''[[.:polytope:PointConfiguration#AMBIENT_DIM |AMBIENT_DIM]]()''**|[[.:polytope|polytope]]|method of PointConfiguration|Geometry|
|**''[[.:polytope#ambient_lattice_normalization |ambient_lattice_normalization]]([[.:polytope:Polytope |Polytope]] p)''**|[[.:polytope|polytope]]|Functions|Transformations|
|**''[[.:fulton:TDivisor#AMPLE |AMPLE]]''**|[[.:fulton|fulton]]|property of TDivisor|Algebraic Geometry|
|**''[[.:common#anti_diag |anti_diag]]([[.:common#Vector |Vector]] d)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:common#anti_diag |anti_diag]]([[.:common#Matrix |Matrix]] m1, [[.:common#Matrix |Matrix]] m2)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:common#Matrix |anti_diagonal]]([[.:common#Int |Int]] i)''**|[[.:common|common]]|method of Matrix|no category|
|**''[[.:core#application |application]]([[.:common#String |String]] name)''**|[[.:core|core]]|Functions|Basic|
|**''[[.:common#Min |apply]]''**|[[.:common|common]]|method of Min|no category|
|**''[[.:common#Max |apply]]''**|[[.:common|common]]|method of Max|no category|
|**''[[.:core:Core_RuleChain#apply |apply]]([[.:core:Core_Object |Core::Object]] o)''**|[[.:core|core]]|method of Core::RuleChain|no category|
|**''[[.:core:Core_Object#apply_rule |apply_rule]]([[.:common#String |String]] pattern)''**|[[.:core|core]]|method of Core::Object|no category|
|**''[[.:common#ApproximateSet |ApproximateSet]]<Element>''**|[[.:common|common]]|Property_types|Set Types|
|**''[[.:core#apropos |apropos]]([[.:common#String |String]] pattern)''**|[[.:core|core]]|Functions|Interactive|
|**''[[.:polytope#archimedean_solid |archimedean_solid]]([[.:common#String |String]] s)''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:group#are_in_same_orbit |are_in_same_orbit]]([[.:group:PermutationAction |PermutationAction]] a, [[.:common#Vector |Vector]] v1, [[.:common#Vector |Vector]] v2)''**|[[.:group|group]]|Functions|Orbits|
|**''[[.:common#are_permuted |are_permuted]]([[.:common#Array |Array]] a, [[.:common#Array |Array]] b)''**|[[.:common|common]]|Functions|Combinatorics|
|**''[[.:common#Array |Array]]<Element>''**|[[.:common|common]]|Property_types|Basic Types|
|**''[[.:tropical:LinesInCubic#array_family_fixed_edge |array_family_fixed_edge]]()''**|[[.:tropical|tropical]]|method of LinesInCubic|Lists of lines|
|**''[[.:tropical:LinesInCubic#array_family_fixed_vertex |array_family_fixed_vertex]]()''**|[[.:tropical|tropical]]|method of LinesInCubic|Lists of lines|
|**''[[.:tropical:LinesInCubic#array_family_moving_edge |array_family_moving_edge]]()''**|[[.:tropical|tropical]]|method of LinesInCubic|Lists of lines|
|**''[[.:tropical:LinesInCubic#array_family_moving_vertex |array_family_moving_vertex]]()''**|[[.:tropical|tropical]]|method of LinesInCubic|Lists of lines|
|**''[[.:tropical:LinesInCubic#array_isolated_edge |array_isolated_edge]]()''**|[[.:tropical|tropical]]|method of LinesInCubic|Lists of lines|
|**''[[.:tropical:LinesInCubic#array_isolated_no_edge |array_isolated_no_edge]]()''**|[[.:tropical|tropical]]|method of LinesInCubic|Lists of lines|
|**''[[.:polytope#associahedron |associahedron]]([[.:common#Int |Int]] d)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:core:Core_Object#attach |attach]]([[.:common#String |String]] name, Any data, [[.:common#String |String]] constructor_args)''**|[[.:core|core]]|method of Core::Object|no category|
|**''[[.:matroid:Matroid#AUTOMORPHISM_GROUP |AUTOMORPHISM_GROUP]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:group#automorphism_group |automorphism_group]]([[.:common#Graph |Graph]] graph)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:group#automorphism_group |automorphism_group]]([[.:common#IncidenceMatrix |IncidenceMatrix]]<[[.:common#NonSymmetric |NonSymmetric]]> m, [[.:common#Bool |Bool]] on_rows)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:graph#automorphisms |automorphisms]]([[.:common#Graph |Graph]] graph)''**|[[.:graph|graph]]|Functions|Comparing|
|**''[[.:graph#automorphisms |automorphisms]]([[.:common#IncidenceMatrix |IncidenceMatrix]]<[[.:common#NonSymmetric |NonSymmetric]]> m)''**|[[.:graph|graph]]|Functions|Comparing|
|**''[[.:graph#automorphisms |automorphisms]]([[.:common#IncidenceMatrix |IncidenceMatrix]]<[[.:common#Symmetric |Symmetric]]> m)''**|[[.:graph|graph]]|Functions|Comparing|
|**''[[.:common#average |average]](ARRAY array)''**|[[.:common|common]]|Functions|Utilities|
|**''[[.:graph:Graph#AVERAGE_DEGREE |AVERAGE_DEGREE]]''**|[[.:graph|graph]]|property of Graph|no category|
|**''[[.:common#Set |back]]()''**|[[.:common|common]]|method of Set|no category|
|**''[[.:polytope:Polytope#BALANCE |BALANCE]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:polytope:Polytope#BALANCED |BALANCED]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:tropical:Cycle#BALANCED_FACES |BALANCED_FACES]]''**|[[.:tropical|tropical]]|property of Cycle|Weights and lattices|
|**''[[.:topaz:SimplicialComplex#BALL |BALL]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Topology|
|**''[[.:topaz#ball |ball]]([[.:common#Int |Int]] d)''**|[[.:topaz|topaz]]|Functions|Producing from scratch|
|**''[[.:polytope#ball_lifting_lp |ball_lifting_lp]]([[.:topaz:GeometricSimplicialComplex |GeometricSimplicialComplex]] c, [[.:common#Int |Int]] facet_index, [[.:common#Rational |Rational]] conv_eps)''**|[[.:polytope|polytope]]|Functions|Optimization|
|**''[[.:common#barycenter |barycenter]]([[.:common#Matrix |Matrix]] A)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:polytope:PointConfiguration#BARYCENTER |BARYCENTER]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Geometry|
|**''[[.:topaz#barycentric_subdivision |barycentric_subdivision]]([[.:topaz:SimplicialComplex |SimplicialComplex]] complex)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:polytope#barycentric_subdivision |barycentric_subdivision]]([[.:polytope:Cone |Cone]] c)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:group:PermutationAction#BASE |BASE]]''**|[[.:group|group]]|property of PermutationAction|no category|
|**''[[.:fulton:TDivisor#BASEPOINT_FREE |BASEPOINT_FREE]]''**|[[.:fulton|fulton]]|property of TDivisor|Algebraic Geometry|
|**''[[.:matroid:Matroid#BASES |BASES]]''**|[[.:matroid|matroid]]|property of Matroid|Axiom systems|
|**''[[.:matroid#bases_from_revlex_encoding |bases_from_revlex_encoding]]([[.:common#String |String]] encoding, [[.:common#Int |Int]] r, [[.:common#Int |Int]] n)''**|[[.:matroid|matroid]]|Functions|Other|
|**''[[.:matroid#bases_to_revlex_encoding |bases_to_revlex_encoding]]([[.:common#Array |Array]]<[[.:common#Set |Set]]> bases, [[.:common#Int |Int]] r, [[.:common#Int |Int]] n)''**|[[.:matroid|matroid]]|Functions|Other|
|**''[[.:graph#BasicDecoration |BasicDecoration]]''**|[[.:graph|graph]]|Property_types|Combinatorics|
|**''[[.:ideal:Groebner#BASIS |BASIS]]''**|[[.:ideal|ideal]]|property of Groebner|Commutative algebra|
|**''[[.:common#basis |basis]]([[.:common#Matrix |Matrix]] A)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:polytope:AffineLattice#BASIS |BASIS]]''**|[[.:polytope|polytope]]|property of AffineLattice|no category|
|**''[[.:polytope:GroebnerBasis#BASIS |BASIS]]''**|[[.:polytope|polytope]]|property of GroebnerBasis|no category|
|**''[[.:common#basis_affine |basis_affine]]([[.:common#Matrix |Matrix]] A)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:common#basis_cols |basis_cols]]([[.:common#Matrix |Matrix]] A)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:common#basis_rows |basis_rows]]([[.:common#Matrix |Matrix]] A)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:tropical:Cycle#BB_VISUAL |BB_VISUAL]]()''**|[[.:tropical|tropical]]|method of Cycle|Visualization|
|**''[[.:tropical:Morphism#before |before]]([[.:tropical:Morphism |Morphism]] g)''**|[[.:tropical|tropical]]|method of Morphism|Morphisms|
|**''[[.:matroid:Matroid#BETA_INVARIANT |BETA_INVARIANT]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:topaz#HomologyGroup |betti_number]]()''**|[[.:topaz|topaz]]|method of HomologyGroup|no category|
|**''[[.:topaz#betti_numbers |betti_numbers]]<Coeff>([[.:topaz#ChainComplex |ChainComplex]] C)''**|[[.:topaz|topaz]]|Functions|Topology|
|**''[[.:topaz#betti_numbers |betti_numbers]]<Coeff>([[.:topaz:SimplicialComplex |SimplicialComplex]] S)''**|[[.:topaz|topaz]]|Functions|Topology|
|**''[[.:graph:Graph#BICONNECTED_COMPONENTS |BICONNECTED_COMPONENTS]]''**|[[.:graph|graph]]|property of Graph|no category|
|**''[[.:polytope#billera_lee |billera_lee]]([[.:common#Vector |Vector]]<[[.:common#Integer |Integer]]> H)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from other objects|
|**''[[.:matroid:Matroid#BINARY |BINARY]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:polytope#binary_markov_graph |binary_markov_graph]]([[.:common#Array |Array]]<[[.:common#Bool |Bool]]> observation)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:polytope#binary_markov_graph |binary_markov_graph]]([[.:common#String |String]] observation)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:matroid:Matroid#BINARY_VECTORS |BINARY_VECTORS]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:common#binomial |binomial]]([[.:common#Int |Int]] n, [[.:common#Int |Int]] k)''**|[[.:common|common]]|Functions|Combinatorics|
|**''[[.:fulton:BinomialIdeal#BINOMIAL_GENERATORS |BINOMIAL_GENERATORS]]''**|[[.:fulton|fulton]]|property of BinomialIdeal|no category|
|**''[[.:fulton:BinomialIdeal#BinomialIdeal |BinomialIdeal]]''**|[[.:fulton|fulton]]|Objects|no category|
|**''[[.:topaz:SimplicialComplex#BIPARTITE |BIPARTITE]]()''**|[[.:topaz|topaz]]|method of SimplicialComplex|Combinatorics|
|**''[[.:graph:Graph#BIPARTITE |BIPARTITE]]''**|[[.:graph|graph]]|property of Graph|no category|
|**''[[.:polytope#bipyramid |bipyramid]]([[.:polytope:Polytope |Polytope]] P, Scalar z, Scalar z_prime)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:polytope#birkhoff |birkhoff]]([[.:common#Int |Int]] n, [[.:common#Bool |Bool]] even)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:topaz#bistellar_simplification |bistellar_simplification]]([[.:topaz:SimplicialComplex |SimplicialComplex]] complex)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:common#Bitset |Bitset]]''**|[[.:common|common]]|Property_types|Set Types|
|**''[[.:polytope:Cone#BITSET_ACTION |BITSET_ACTION]]''**|[[.:polytope|polytope]]|property of Cone|Symmetry|
|**''[[.:polytope#blending |blending]]([[.:polytope:Polytope |Polytope]] P1, [[.:common#Int |Int]] v1, [[.:polytope:Polytope |Polytope]] P2, [[.:common#Int |Int]] v2)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:common#Bool |Bool]]''**|[[.:common|common]]|Property_types|Basic Types|
|**''[[.:graph:Lattice#BOTTOM_NODE |BOTTOM_NODE]]''**|[[.:graph|graph]]|property of Lattice|Combinatorics|
|**''[[.:polytope#bound |bound]]([[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Transformations|
|**''[[.:topaz:SimplicialComplex#BOUNDARY |BOUNDARY]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Combinatorics|
|**''[[.:polytope:Cone#BOUNDARY |BOUNDARY]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:polytope:PointConfiguration#BOUNDARY |BOUNDARY]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Combinatorics|
|**''[[.:polytope:Polytope#BOUNDARY_LATTICE_POINTS |BOUNDARY_LATTICE_POINTS]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in polytopes|
|**''[[.:topaz:SimplicialComplex#boundary_matrix |boundary_matrix]]([[.:common#Int |Int]] d)''**|[[.:topaz|topaz]]|method of SimplicialComplex|Combinatorics|
|**''[[.:topaz#ChainComplex |boundary_matrix]]([[.:common#Int |Int]] d)''**|[[.:topaz|topaz]]|method of ChainComplex|no category|
|**''[[.:topaz#Filtration |boundary_matrix]]([[.:common#Int |Int]] d, [[.:common#Int |Int]] t)''**|[[.:topaz|topaz]]|method of Filtration|no category|
|**''[[.:fan:PolyhedralComplex#BOUNDED |BOUNDED]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Geometry|
|**''[[.:polytope:Polytope#BOUNDED |BOUNDED]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope:PointConfiguration#BOUNDED |BOUNDED]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Geometry|
|**''[[.:polytope:Polytope#BOUNDED_COMPLEX |BOUNDED_COMPLEX]]''**|[[.:polytope|polytope]]|property of Polytope|Unbounded polyhedra|
|**''[[.:polytope:Polytope#BOUNDED_DUAL_GRAPH |BOUNDED_DUAL_GRAPH]]''**|[[.:polytope|polytope]]|method of Polytope|Unbounded polyhedra|
|**''[[.:polytope:Polytope#BOUNDED_FACETS |BOUNDED_FACETS]]()''**|[[.:polytope|polytope]]|method of Polytope|Unbounded polyhedra|
|**''[[.:polytope:Polytope#BOUNDED_GRAPH |BOUNDED_GRAPH]]''**|[[.:polytope|polytope]]|method of Polytope|Unbounded polyhedra|
|**''[[.:polytope:Polytope#BOUNDED_HASSE_DIAGRAM |BOUNDED_HASSE_DIAGRAM]]''**|[[.:polytope|polytope]]|method of Polytope|Unbounded polyhedra|
|**''[[.:polytope:Polytope#BOUNDED_VERTICES |BOUNDED_VERTICES]]()''**|[[.:polytope|polytope]]|method of Polytope|Unbounded polyhedra|
|**''[[.:common#bounding_box |bounding_box]]([[.:common#Matrix |Matrix]] m)''**|[[.:common|common]]|Functions|Utilities|
|**''[[.:graph:GeometricGraph#BOUNDING_BOX |BOUNDING_BOX]]''**|[[.:graph|graph]]|property of GeometricGraph|no category|
|**''[[.:tropical:Cycle#bounding_box |bounding_box]]([[.:common#Int |Int]] chart)''**|[[.:tropical|tropical]]|method of Cycle|Visualization|
|**''[[.:tropical:Cycle#bounding_box_facets |bounding_box_facets]]([[.:common#Int |Int]] offset, [[.:common#Int |Int]] chart)''**|[[.:tropical|tropical]]|method of Cycle|Visualization|
|**''[[.:polytope#bounding_box_facets |bounding_box_facets]](Scalar offset, [[.:common#Matrix |Matrix]] V, Scalar surplus_k, [[.:common#Bool |Bool]] fulldim, [[.:common#Bool |Bool]] make_cube)''**|[[.:polytope|polytope]]|Functions|Visualization|
|**''[[.:polytope#bounding_facets |bounding_facets]]([[.:common#Matrix |Matrix]] H, [[.:common#Matrix |Matrix]] V, Scalar offset, Scalar surplus_k, [[.:common#Bool |Bool]] transform, [[.:common#Bool |Bool]] fulldim, [[.:common#Bool |Bool]] return_nonredundant)''**|[[.:polytope|polytope]]|Functions|Visualization|
|**''[[.:topaz#bs2quotient |bs2quotient]]([[.:polytope:Polytope |Polytope]] P, [[.:topaz:SimplicialComplex |SimplicialComplex]] complex)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:fan#building_set |building_set]]([[.:common#Array |Array]]<[[.:common#Set |Set]]> generators, [[.:common#Int |Int]] n)''**|[[.:fan|fan]]|Functions|Other|
|**''[[.:common#CachedObjectPointer |CachedObjectPointer]]''**|[[.:common|common]]|Property_types|Artificial|
|**''[[.:polytope:Polytope#CANONICAL |CANONICAL]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in cones|
|**''[[.:graph#canonical_form |canonical_form]]([[.:common#Graph |Graph]] g)''**|[[.:graph|graph]]|Functions|Comparing|
|**''[[.:graph#canonical_hash |canonical_hash]]([[.:common#Graph |Graph]] g, [[.:common#Int |Int]] k)''**|[[.:graph|graph]]|Functions|Comparing|
|**''[[.:graph#canonical_hash |canonical_hash]]([[.:common#IncidenceMatrix |IncidenceMatrix]] M, [[.:common#Int |Int]] k)''**|[[.:graph|graph]]|Functions|Comparing|
|**''[[.:topaz#cap_product |cap_product]]([[.:topaz#CycleGroup |CycleGroup]]<E> cocycles, [[.:topaz#CycleGroup |CycleGroup]]<E> cycles)''**|[[.:topaz|topaz]]|Functions|Topology|
|**''[[.:tropical#cartesian_product |cartesian_product]]([[.:tropical:Cycle |Cycle]] cycles)''**|[[.:tropical|tropical]]|Functions|Basic polyhedral operations|
|**''[[.:fulton:TDivisor#CARTIER |CARTIER]]''**|[[.:fulton|fulton]]|property of TDivisor|Algebraic Geometry|
|**''[[.:fulton:TDivisor#CARTIER_DATA |CARTIER_DATA]]''**|[[.:fulton|fulton]]|property of TDivisor|Combinatorics|
|**''[[.:common#cast |cast]]<Target>([[.:core:Core_Object |Core::Object]] object)''**|[[.:common|common]]|Functions|Data Conversion|
|**''[[.:polytope#catalan_solid |catalan_solid]]([[.:common#String |String]] s)''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:matroid:Matroid#CATENARY_G_INVARIANT |CATENARY_G_INVARIANT]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:polytope#cayley_embedding |cayley_embedding]]([[.:polytope:Polytope |Polytope]] P_0, [[.:polytope:Polytope |Polytope]] P_1, Scalar t_0, Scalar t_1)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:polytope#cayley_embedding |cayley_embedding]]([[.:common#Array |Array]]<[[.:polytope:Polytope |Polytope]]> A)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:polytope#cayley_polytope |cayley_polytope]]([[.:common#Array |Array]]<[[.:polytope:Polytope |Polytope]]> P_Array)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:polytope:Polytope#CD_INDEX |CD_INDEX]]()''**|[[.:polytope|polytope]]|method of Polytope|Combinatorics|
|**''[[.:polytope:Polytope#CD_INDEX_COEFFICIENTS |CD_INDEX_COEFFICIENTS]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:common#ceil |ceil]]([[.:common#Rational |Rational]] a)''**|[[.:common|common]]|Functions|Arithmetic|
|**''[[.:fan:SubdivisionOfPoints#cell |cell]]([[.:common#Int |Int]] i)''**|[[.:fan|fan]]|method of SubdivisionOfPoints|Geometry|
|**''[[.:fan:SubdivisionOfVectors#cell |cell]]([[.:common#Int |Int]] i)''**|[[.:fan|fan]]|method of SubdivisionOfVectors|Geometry|
|**''[[.:topaz#Cell |Cell]]''**|[[.:topaz|topaz]]|Property_types|Topology|
|**''[[.:fan:HyperplaneArrangement#CELL_DECOMPOSITION |CELL_DECOMPOSITION]]''**|[[.:fan|fan]]|property of HyperplaneArrangement|Geometry|
|**''[[.:fan#cell_decomposition_brute_force |cell_decomposition_brute_force]]''**|[[.:fan|fan]]|Functions|Geometry|
|**''[[.:polytope#cell_from_subdivision |cell_from_subdivision]]([[.:polytope:Polytope |Polytope]] P, [[.:common#Int |Int]] cell)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:fan:HyperplaneArrangement#CELL_SIGNATURES |CELL_SIGNATURES]]''**|[[.:fan|fan]]|property of HyperplaneArrangement|Combinatorics|
|**''[[.:fan:HyperplaneArrangement#cell_to_signature |cell_to_signature]]''**|[[.:fan|fan]]|method of HyperplaneArrangement|Combinatorics|
|**''[[.:topaz#Filtration |cells]]()''**|[[.:topaz|topaz]]|method of Filtration|no category|
|**''[[.:polytope#cells_from_subdivision |cells_from_subdivision]]([[.:polytope:Polytope |Polytope]]<Scalar> P, [[.:common#Set |Set]]<[[.:common#Int |Int]]> cells)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:polytope#center |center]]([[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Transformations|
|**''[[.:polytope#center_distance |center_distance]]([[.:polytope:Polytope |Polytope]] p)''**|[[.:polytope|polytope]]|Functions|Geometry|
|**''[[.:polytope:Polytope#CENTERED |CENTERED]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope:PointConfiguration#CENTERED |CENTERED]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Geometry|
|**''[[.:polytope:Polytope#CENTERED_ZONOTOPE |CENTERED_ZONOTOPE]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope:Polytope#CENTRALLY_SYMMETRIC |CENTRALLY_SYMMETRIC]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope:Polytope#CENTROID |CENTROID]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:fulton#cf2rational |cf2rational]]([[.:common#Vector |Vector]]<[[.:common#Integer |Integer]]> v)''**|[[.:fulton|fulton]]|Functions|Continued fractions|
|**''[[.:topaz#ChainComplex |ChainComplex]]<MatrixType>''**|[[.:topaz|topaz]]|Property_types|Topology|
|**''[[.:group:Action#CHARACTER |CHARACTER]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:group:Group#CHARACTER_TABLE |CHARACTER_TABLE]]''**|[[.:group|group]]|property of Group|Symmetry|
|**''[[.:graph:Graph#CHARACTERISTIC_POLYNOMIAL |CHARACTERISTIC_POLYNOMIAL]]''**|[[.:graph|graph]]|property of Graph|no category|
|**''[[.:matroid#check_basis_exchange_axiom |check_basis_exchange_axiom]]([[.:common#Array |Array]]<[[.:common#Set |Set]]> B)''**|[[.:matroid|matroid]]|Functions|Other|
|**''[[.:tropical#check_cycle_equality |check_cycle_equality]]([[.:tropical:Cycle |Cycle]]<Addition> X, [[.:tropical:Cycle |Cycle]]<Addition> Y, [[.:common#Bool |Bool]] check_weights)''**|[[.:tropical|tropical]]|Functions|Basic polyhedral operations|
|**''[[.:fan#check_fan |check_fan]]([[.:common#Matrix |Matrix]] rays, [[.:common#IncidenceMatrix |IncidenceMatrix]] cones)''**|[[.:fan|fan]]|Functions|Consistency check|
|**''[[.:fan#check_fan_objects |check_fan_objects]]<Coord>([[.:common#Array |Array]]<[[.:polytope:Cone |Cone]]> cones)''**|[[.:fan|fan]]|Functions|Consistency check|
|**''[[.:matroid#check_flat_axiom |check_flat_axiom]]([[.:common#Array |Array]]<[[.:common#Set |Set]]> F)''**|[[.:matroid|matroid]]|Functions|Other|
|**''[[.:matroid#check_hyperplane_axiom |check_hyperplane_axiom]]([[.:common#Array |Array]]<[[.:common#Set |Set]]> H)''**|[[.:matroid|matroid]]|Functions|Other|
|**''[[.:polytope#check_inc |check_inc]]([[.:common#Matrix |Matrix]] points, [[.:common#Matrix |Matrix]] hyperplanes, [[.:common#String |String]] sign, [[.:common#Bool |Bool]] verbose)''**|[[.:polytope|polytope]]|Functions|Consistency check|
|**''[[.:polytope#check_poly |check_poly]]([[.:common#IncidenceMatrix |IncidenceMatrix]] VIF)''**|[[.:polytope|polytope]]|Functions|Consistency check|
|**''[[.:matroid#check_transversality |check_transversality]]([[.:matroid:Matroid |Matroid]] M)''**|[[.:matroid|matroid]]|Functions|Advanced properties|
|**''[[.:matroid#check_valuated_basis_axioms |check_valuated_basis_axioms]]([[.:common#Array |Array]]<[[.:common#Set |Set]]<[[.:common#Int |Int]]%%>>%% bases, [[.:common#Vector |Vector]]<[[.:common#TropicalNumber |TropicalNumber]]<Addition,Scalar%%>>%% valuation)''**|[[.:matroid|matroid]]|Functions|Other|
|**''[[.:matroid#check_valuated_circuit_axioms |check_valuated_circuit_axioms]]([[.:common#Matrix |Matrix]]<[[.:common#TropicalNumber |TropicalNumber]]<Addition,Scalar%%>>%% M)''**|[[.:matroid|matroid]]|Functions|Other|
|**''[[.:polytope:VectorConfiguration#CHIROTOPE |CHIROTOPE]]''**|[[.:polytope|polytope]]|property of VectorConfiguration|Matroid properties|
|**''[[.:polytope:Polytope#CHIROTOPE |CHIROTOPE]]''**|[[.:polytope|polytope]]|property of Polytope|Matroid properties|
|**''[[.:polytope#chirotope |chirotope]]([[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope#chirotope |chirotope]]([[.:polytope:VectorConfiguration |VectorConfiguration]] P)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope#chirotope |chirotope]]([[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope#chirotope |chirotope]]([[.:polytope:VectorConfiguration |VectorConfiguration]] P)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope#circuit_completions |circuit_completions]]([[.:common#Matrix |Matrix]] L, [[.:common#Matrix |Matrix]] R)''**|[[.:polytope|polytope]]|Functions|Geometry|
|**''[[.:matroid:Matroid#CIRCUITS |CIRCUITS]]''**|[[.:matroid|matroid]]|property of Matroid|Axiom systems|
|**''[[.:polytope:VectorConfiguration#CIRCUITS |CIRCUITS]]''**|[[.:polytope|polytope]]|property of VectorConfiguration|Matroid properties|
|**''[[.:polytope:Polytope#CIRCUITS |CIRCUITS]]''**|[[.:polytope|polytope]]|property of Polytope|Matroid properties|
|**''[[.:polytope#circuits2matrix |circuits2matrix]]([[.:common#Set |Set]]<[[.:common#Pair |Pair]]<[[.:common#Set |Set]]<[[.:common#Int |Int]]>,[[.:common#Set |Set]]<[[.:common#Int |Int]]%%>>%%> co)''**|[[.:polytope|polytope]]|Functions|Combinatorics|
|**''[[.:common#Matrix |clear]]([[.:common#Int |Int]] r, [[.:common#Int |Int]] c)''**|[[.:common|common]]|method of Matrix|no category|
|**''[[.:graph#clip_graph |clip_graph]]([[.:graph:Graph |Graph]] G, [[.:common#Matrix |Matrix]] V, [[.:common#Matrix |Matrix]] BB)''**|[[.:graph|graph]]|Functions|Visualization|
|**''[[.:topaz#clique_complex |clique_complex]]([[.:graph:Graph |Graph]] graph)''**|[[.:topaz|topaz]]|Functions|Producing a simplicial complex from other objects|
|**''[[.:topaz:SimplicialComplex#CLOSED_PSEUDO_MANIFOLD |CLOSED_PSEUDO_MANIFOLD]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Topology|
|**''[[.:tropical#coarse_covectors |coarse_covectors]]([[.:common#Matrix |Matrix]]<[[.:common#TropicalNumber |TropicalNumber]]<Addition,Scalar%%>>%% points, [[.:common#Matrix |Matrix]]<[[.:common#TropicalNumber |TropicalNumber]]<Addition,Scalar%%>>%% generators)''**|[[.:tropical|tropical]]|Functions|Tropical covector decomposition|
|**''[[.:tropical#coarse_covectors_of_scalar_vertices |coarse_covectors_of_scalar_vertices]]([[.:common#Matrix |Matrix]]<Scalar> points, [[.:common#Matrix |Matrix]]<[[.:common#TropicalNumber |TropicalNumber]]<Addition,Scalar%%>>%% generators)''**|[[.:tropical|tropical]]|Functions|Tropical covector decomposition|
|**''[[.:tropical#coarsen |coarsen]]([[.:tropical:Cycle |Cycle]]<Addition> complex, [[.:common#Bool |Bool]] testFan)''**|[[.:tropical|tropical]]|Functions|Basic polyhedral operations|
|**''[[.:polytope#cocircuit_equation_of_ridge |cocircuit_equation_of_ridge]]([[.:polytope:Cone |Cone]] C, [[.:common#Set |Set]] rho)''**|[[.:polytope|polytope]]|Functions|Combinatorics|
|**''[[.:polytope:Cone#COCIRCUIT_EQUATIONS |COCIRCUIT_EQUATIONS]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:polytope:PointConfiguration#COCIRCUIT_EQUATIONS |COCIRCUIT_EQUATIONS]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Combinatorics|
|**''[[.:polytope:QuotientSpace#COCIRCUIT_EQUATIONS |COCIRCUIT_EQUATIONS]]''**|[[.:polytope|polytope]]|property of QuotientSpace|Combinatorics|
|**''[[.:polytope#cocircuit_equations |cocircuit_equations]]([[.:polytope:Cone |Cone]] C, [[.:common#Array |Array]]<[[.:common#Set |Set]]> interior_ridge_simplices, [[.:common#Array |Array]]<[[.:common#Set |Set]]> interior_simplices)''**|[[.:polytope|polytope]]|Functions|Combinatorics|
|**''[[.:polytope#cocircuit_equations_support_reps |cocircuit_equations_support_reps]]([[.:common#Matrix |Matrix]]<Scalar> points, [[.:common#Array |Array]]<[[.:common#Array |Array]]<[[.:common#Int |Int]]%%>>%% gens, [[.:common#Array |Array]]<SetType> rirs, [[.:common#Array |Array]]<SetType> rmis)''**|[[.:polytope|polytope]]|Functions|Symmetry|
|**''[[.:matroid:Matroid#COCIRCUITS |COCIRCUITS]]''**|[[.:matroid|matroid]]|method of Matroid|Axiom systems|
|**''[[.:polytope:VectorConfiguration#COCIRCUITS |COCIRCUITS]]''**|[[.:polytope|polytope]]|property of VectorConfiguration|Matroid properties|
|**''[[.:polytope:Polytope#COCIRCUITS |COCIRCUITS]]''**|[[.:polytope|polytope]]|property of Polytope|Matroid properties|
|**''[[.:polytope:Polytope#COCUBICAL |COCUBICAL]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:polytope:Polytope#COCUBICALITY |COCUBICALITY]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:topaz:SimplicialComplex#COCYCLES |COCYCLES]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Topology|
|**''[[.:polytope#codegree |codegree]]<Scalar>([[.:polytope:Cone |Cone]] P)''**|[[.:polytope|polytope]]|Functions|Combinatorics|
|**''[[.:polytope#codegree |codegree]]<Scalar>([[.:polytope:PointConfiguration |PointConfiguration]] P)''**|[[.:polytope|polytope]]|Functions|Combinatorics|
|**''[[.:tropical:Cycle#CODIMENSION_ONE_POLYTOPES |CODIMENSION_ONE_POLYTOPES]]''**|[[.:tropical|tropical]]|property of Cycle|Combinatorics|
|**''[[.:topaz#CycleGroup |coeff]]()''**|[[.:topaz|topaz]]|method of CycleGroup|no category|
|**''[[.:fulton:TDivisor#COEFFICIENTS |COEFFICIENTS]]''**|[[.:fulton|fulton]]|property of TDivisor|Combinatorics|
|**''[[.:tropical:Hypersurface#COEFFICIENTS |COEFFICIENTS]]''**|[[.:tropical|tropical]]|property of Hypersurface|no category|
|**''[[.:common#UniPolynomial |coefficients_as_vector]]()''**|[[.:common|common]]|method of UniPolynomial|no category|
|**''[[.:common#Polynomial |coefficients_as_vector]]()''**|[[.:common|common]]|method of Polynomial|no category|
|**''[[.:tropical:RationalCurve#COEFFS |COEFFS]]''**|[[.:tropical|tropical]]|property of RationalCurve|Combinatorics|
|**''[[.:polytope#coherency_index |coherency_index]]([[.:polytope:Polytope |Polytope]] p1, [[.:polytope:Polytope |Polytope]] p2, [[.:common#Matrix |Matrix]] points, [[.:common#Vector |Vector]] w1, [[.:common#Vector |Vector]] w2)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope#coherency_index |coherency_index]]([[.:common#Matrix |Matrix]] points, [[.:common#Vector |Vector]] w1, [[.:common#Vector |Vector]] w2)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope#coherency_index |coherency_index]]([[.:polytope:Polytope |Polytope]] p1, [[.:polytope:Polytope |Polytope]] p2)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:topaz:SimplicialComplex#COHOMOLOGY |COHOMOLOGY]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Topology|
|**''[[.:common#Matrix |col]]([[.:common#Int |Int]] i)''**|[[.:common|common]]|method of Matrix|no category|
|**''[[.:common#IncidenceMatrix |col]]([[.:common#Int |Int]] i)''**|[[.:common|common]]|method of IncidenceMatrix|no category|
|**''[[.:group#col_to_row_action |col_to_row_action]]([[.:common#Matrix |Matrix]] M, [[.:common#Array |Array]] of)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:common#Set |collect]](Element e)''**|[[.:common|common]]|method of Set|no category|
|**''[[.:matroid:Matroid#COLOOPS |COLOOPS]]''**|[[.:matroid|matroid]]|method of Matroid|Axiom systems|
|**''[[.:common#Color |Color]]''**|[[.:common|common]]|Property_types|Visualization|
|**''[[.:topaz#colored_ball_from_colored_sphere |colored_ball_from_colored_sphere]]([[.:topaz:SimplicialComplex |SimplicialComplex]] complex)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:topaz:SimplicialComplex#COLORING |COLORING]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|no category|
|**''[[.:topaz:SimplicialComplex#COLORING |COLORING]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Combinatorics|
|**''[[.:common#Matrix |cols]]()''**|[[.:common|common]]|method of Matrix|no category|
|**''[[.:common#IncidenceMatrix |cols]]()''**|[[.:common|common]]|method of IncidenceMatrix|no category|
|**''[[.:common#cols |cols]]''**|[[.:common|common]]|Functions|Data Conversion|
|**''[[.:common#cols |cols]]([[.:common#Matrix |Matrix]] A)''**|[[.:common|common]]|Functions|Data Conversion|
|**''[[.:fan:PolyhedralFan#COMBINATORIAL_DIM |COMBINATORIAL_DIM]]''**|[[.:fan|fan]]|property of PolyhedralFan|Combinatorics|
|**''[[.:polytope:Cone#COMBINATORIAL_DIM |COMBINATORIAL_DIM]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:fan#combinatorial_symmetries |combinatorial_symmetries]]([[.:fan:PolyhedralFan |PolyhedralFan]] f)''**|[[.:fan|fan]]|Functions|Symmetry|
|**''[[.:polytope#combinatorial_symmetries |combinatorial_symmetries]]([[.:polytope:Polytope |Polytope]] p)''**|[[.:polytope|polytope]]|Functions|Symmetry|
|**''[[.:polytope#combinatorial_symmetrized_cocircuit_equations |combinatorial_symmetrized_cocircuit_equations]]([[.:polytope:Cone |Cone]] P, [[.:common#Set |Set]]<[[.:common#Int |Int]]> comps)''**|[[.:polytope|polytope]]|Functions|Symmetry|
|**''[[.:polytope#combinatorial_symmetrized_cocircuit_equations |combinatorial_symmetrized_cocircuit_equations]]([[.:polytope:Cone |Cone]] P, [[.:common#Array |Array]]<SetType> rirs, [[.:common#Array |Array]]<SetType> rmis, [[.:common#Set |Set]]<[[.:common#Int |Int]]> comps)''**|[[.:polytope|polytope]]|Functions|Symmetry|
|**''[[.:fan#common_refinement |common_refinement]]([[.:fan:PolyhedralFan |PolyhedralFan]] f1, [[.:fan:PolyhedralFan |PolyhedralFan]] f2)''**|[[.:fan|fan]]|Functions|Producing a fan|
|**''[[.:polytope#common_refinement |common_refinement]]([[.:common#Matrix |Matrix]] points, [[.:common#IncidenceMatrix |IncidenceMatrix]] sub1, [[.:common#IncidenceMatrix |IncidenceMatrix]] sub2, [[.:common#Int |Int]] dim)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope#common_refinement |common_refinement]]([[.:polytope:Polytope |Polytope]] p1, [[.:polytope:Polytope |Polytope]] p2)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:fan:PolyhedralComplex#COMPACTIFICATION |COMPACTIFICATION]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Combinatorics|
|**''[[.:common#HermiteNormalForm |companion]]()''**|[[.:common|common]]|method of HermiteNormalForm|no category|
|**''[[.:graph#complement_graph |complement_graph]]([[.:graph:Graph |Graph]] G)''**|[[.:graph|graph]]|Functions|Combinatorics|
|**''[[.:fan:PolyhedralFan#COMPLETE |COMPLETE]]''**|[[.:fan|fan]]|property of PolyhedralFan|Combinatorics|
|**''[[.:graph#complete |complete]]([[.:common#Int |Int]] n)''**|[[.:graph|graph]]|Functions|Producing a graph|
|**''[[.:graph#complete_bipartite |complete_bipartite]]([[.:common#Int |Int]] k, [[.:common#Int |Int]] l)''**|[[.:graph|graph]]|Functions|Producing a graph|
|**''[[.:topaz#complex_projective_plane |complex_projective_plane]]()''**|[[.:topaz|topaz]]|Functions|Producing from scratch|
|**''[[.:polytope:Polytope#COMPLEXITY |COMPLEXITY]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:common#compose |compose]]([[.:common:Visual_Object |Visual::Object]] vis_obj ...)''**|[[.:common|common]]|Functions|Visualization|
|**''[[.:common#compose |compose]]([[.:common:Visual_Container |Visual::Container]] vis_container, [[.:common:Visual_Object |Visual::Object]] vis_obj ...)''**|[[.:common|common]]|Functions|Visualization|
|**''[[.:polytope:Polytope#COMPRESSED |COMPRESSED]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in cones|
|**''[[.:common#concat_rows |concat_rows]]([[.:common#Matrix |Matrix]] A)''**|[[.:common|common]]|Functions|Data Conversion|
|**''[[.:fan:PolyhedralFan#cone |cone]]([[.:common#Int |Int]] i)''**|[[.:fan|fan]]|method of PolyhedralFan|Combinatorics|
|**''[[.:topaz#cone |cone]]([[.:topaz:SimplicialComplex |SimplicialComplex]] complex, [[.:common#Int |Int]] k)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:polytope:Cone#Cone |Cone]]<Scalar>''**|[[.:polytope|polytope]]|Objects|no category|
|**''[[.:polytope:Polytope#CONE_AMBIENT_DIM |CONE_AMBIENT_DIM]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope:Cone#CONE_AMBIENT_DIM |CONE_AMBIENT_DIM]]''**|[[.:polytope|polytope]]|property of Cone|Geometry|
|**''[[.:polytope:Polytope#CONE_DIM |CONE_DIM]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope:Cone#CONE_DIM |CONE_DIM]]''**|[[.:polytope|polytope]]|property of Cone|Geometry|
|**''[[.:fan#cone_of_tubing |cone_of_tubing]]([[.:graph:Graph |Graph]] G, [[.:graph:Graph |Graph]] T)''**|[[.:fan|fan]]|Functions|Other|
|**''[[.:fan:PolyhedralFan#cone_representative |cone_representative]]([[.:common#Int |Int]] i)''**|[[.:fan|fan]]|method of PolyhedralFan|Symmetry|
|**''[[.:fan:PolyhedralFan#CONES |CONES]]''**|[[.:fan|fan]]|property of PolyhedralFan|Combinatorics|
|**''[[.:fan#cones_action |cones_action]]([[.:fan:PolyhedralFan |PolyhedralFan]] f, [[.:common#Int |Int]] k)''**|[[.:fan|fan]]|Functions|Symmetry|
|**''[[.:fan:PolyhedralFan#CONES_COMBINATORIAL_DIMS |CONES_COMBINATORIAL_DIMS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Combinatorics|
|**''[[.:fan:PolyhedralFan#CONES_DIMS |CONES_DIMS]]()''**|[[.:fan|fan]]|method of PolyhedralFan|Combinatorics|
|**''[[.:fan:PolyhedralFan#CONES_ORBIT_SIZES |CONES_ORBIT_SIZES]]''**|[[.:fan|fan]]|property of PolyhedralFan|Symmetry|
|**''[[.:fan:PolyhedralFan#CONES_REPS |CONES_REPS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Symmetry|
|**''[[.:polytope#congruent |congruent]]([[.:polytope:Polytope |Polytope]] P1, [[.:polytope:Polytope |Polytope]] P2)''**|[[.:polytope|polytope]]|Functions|Comparing|
|**''[[.:group#conjugacy_class |conjugacy_class]]<Element>([[.:group:Action |Action]] action, Element e)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:group#conjugacy_class |conjugacy_class]]<Scalar>([[.:group:MatrixActionOnVectors |MatrixActionOnVectors]]<Scalar> action, [[.:common#Matrix |Matrix]]<Scalar> e)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:group:Action#CONJUGACY_CLASS_REPRESENTATIVES |CONJUGACY_CLASS_REPRESENTATIVES]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:group:Group#CONJUGACY_CLASS_SIZES |CONJUGACY_CLASS_SIZES]]''**|[[.:group|group]]|property of Group|Symmetry|
|**''[[.:group:Action#CONJUGACY_CLASSES |CONJUGACY_CLASSES]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:topaz:SimplicialComplex#CONNECTED |CONNECTED]]()''**|[[.:topaz|topaz]]|method of SimplicialComplex|Topology|
|**''[[.:graph:Graph#CONNECTED |CONNECTED]]''**|[[.:graph|graph]]|property of Graph|no category|
|**''[[.:matroid:Matroid#CONNECTED |CONNECTED]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:topaz:SimplicialComplex#CONNECTED_COMPONENTS |CONNECTED_COMPONENTS]]()''**|[[.:topaz|topaz]]|method of SimplicialComplex|Combinatorics|
|**''[[.:graph:Graph#CONNECTED_COMPONENTS |CONNECTED_COMPONENTS]]''**|[[.:graph|graph]]|property of Graph|no category|
|**''[[.:matroid:Matroid#CONNECTED_COMPONENTS |CONNECTED_COMPONENTS]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:topaz#connected_sum |connected_sum]]([[.:topaz:SimplicialComplex |SimplicialComplex]] complex1, [[.:topaz:SimplicialComplex |SimplicialComplex]] complex2, [[.:common#Int |Int]] f1, [[.:common#Int |Int]] f2)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:topaz:SimplicialComplex#CONNECTIVITY |CONNECTIVITY]]()''**|[[.:topaz|topaz]]|method of SimplicialComplex|Combinatorics|
|**''[[.:graph:Graph#CONNECTIVITY |CONNECTIVITY]]''**|[[.:graph|graph]]|property of Graph|no category|
|**''[[.:graph#connectivity |connectivity]]([[.:common#Graph |Graph]]<[[.:common#Undirected |Undirected]]> graph)''**|[[.:graph|graph]]|Functions|Combinatorics|
|**''[[.:polytope:Cone#CONNECTIVITY |CONNECTIVITY]]()''**|[[.:polytope|polytope]]|method of Cone|Combinatorics|
|**''[[.:common#UniPolynomial |constant_coefficient]]()''**|[[.:common|common]]|method of UniPolynomial|no category|
|**''[[.:common#Polynomial |constant_coefficient]]()''**|[[.:common|common]]|method of Polynomial|no category|
|**''[[.:polytope:Visual_SchlegelDiagram#CONSTRUCTION |CONSTRUCTION]]()''**|[[.:polytope|polytope]]|method of Visual::SchlegelDiagram|no category|
|**''[[.:common#Container |Container]]''**|[[.:common|common]]|Property_types|Artificial|
|**''[[.:polytope#containing_normal_cone |containing_normal_cone]]([[.:polytope:Cone |Cone]] P, [[.:common#Vector |Vector]] q)''**|[[.:polytope|polytope]]|Functions|Geometry|
|**''[[.:polytope#containing_outer_cone |containing_outer_cone]]([[.:polytope:Polytope |Polytope]] P, [[.:common#Vector |Vector]] q)''**|[[.:polytope|polytope]]|Functions|Geometry|
|**''[[.:common#Set |contains]](Element e)''**|[[.:common|common]]|method of Set|no category|
|**''[[.:polytope:Cone#contains |contains]]([[.:common#Vector |Vector]]<Scalar> v)''**|[[.:polytope|polytope]]|method of Cone|Geometry|
|**''[[.:polytope:Cone#contains_in_interior |contains_in_interior]]([[.:common#Vector |Vector]]<Scalar> v)''**|[[.:polytope|polytope]]|method of Cone|Geometry|
|**''[[.:ideal:Ideal#contains_monomial |contains_monomial]]([[.:common#String |String]] s)''**|[[.:ideal|ideal]]|method of Ideal|no category|
|**''[[.:tropical#contains_point |contains_point]]([[.:tropical:Cycle |Cycle]] A, [[.:common#Vector |Vector]]<[[.:common#Rational |Rational]]> point)''**|[[.:tropical|tropical]]|Functions|Basic polyhedral operations|
|**''[[.:fulton:CyclicQuotient#CONTINUED_FRACTION |CONTINUED_FRACTION]]''**|[[.:fulton|fulton]]|property of CyclicQuotient|Input properties|
|**''[[.:fulton:VersalComponent#CONTINUED_FRACTION |CONTINUED_FRACTION]]''**|[[.:fulton|fulton]]|property of VersalComponent|Combinatorics|
|**''[[.:common#Graph |contract_edge]]([[.:common#Int |Int]] node1, [[.:common#Int |Int]] node2)''**|[[.:common|common]]|method of Graph|no category|
|**''[[.:matroid#contraction |contraction]]([[.:matroid:Matroid |Matroid]] m, [[.:common#Set |Set]]<[[.:common#Int |Int]]> S)''**|[[.:matroid|matroid]]|Functions|Producing a matroid from matroids|
|**''[[.:matroid#contraction |contraction]]([[.:matroid:Matroid |Matroid]] m, [[.:common#Int |Int]] x)''**|[[.:matroid|matroid]]|Functions|Producing a matroid from matroids|
|**''[[.:polytope#contraction |contraction]]([[.:polytope:VectorConfiguration |VectorConfiguration]] C, [[.:common#Int |Int]] v)''**|[[.:polytope|polytope]]|Functions|Combinatorics|
|**''[[.:polytope#conv |conv]]([[.:common#Array |Array]]<[[.:polytope:Polytope |Polytope]]> P_Array)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:common#convert_to |convert_to]]<Target>(//Scalar// s)''**|[[.:common|common]]|Functions|Data Conversion|
|**''[[.:common#convert_to |convert_to]]<Target>([[.:common#Vector |Vector]] v)''**|[[.:common|common]]|Functions|Data Conversion|
|**''[[.:common#convert_to |convert_to]]<Target>([[.:common#Matrix |Matrix]] m)''**|[[.:common|common]]|Functions|Data Conversion|
|**''[[.:common#convert_to |convert_to]]<Target>([[.:common#Polynomial |Polynomial]] m)''**|[[.:common|common]]|Functions|Data Conversion|
|**''[[.:common#convert_to |convert_to]]<Target>([[.:common#UniPolynomial |UniPolynomial]] m)''**|[[.:common|common]]|Functions|Data Conversion|
|**''[[.:polytope#convert_to |convert_to]]<Coord>([[.:polytope:Cone |Cone]] c)''**|[[.:polytope|polytope]]|Functions|Coordinate conversions|
|**''[[.:polytope#convert_to |convert_to]]<Coord>([[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Coordinate conversions|
|**''[[.:fan:SubdivisionOfVectors#CONVEX |CONVEX]]''**|[[.:fan|fan]]|property of SubdivisionOfVectors|Geometry|
|**''[[.:polytope:PointConfiguration#CONVEX |CONVEX]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Geometry|
|**''[[.:polytope:PointConfiguration#CONVEX_HULL |CONVEX_HULL]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Geometry|
|**''[[.:fan:PolyhedralComplex#COORDINATE_ACTION |COORDINATE_ACTION]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:polytope:Polytope#COORDINATE_ACTION |COORDINATE_ACTION]]''**|[[.:polytope|polytope]]|property of Polytope|Symmetry|
|**''[[.:polytope:Cone#COORDINATE_LABELS |COORDINATE_LABELS]]''**|[[.:polytope|polytope]]|property of Cone|Visualization|
|**''[[.:topaz:GeometricSimplicialComplex#COORDINATES |COORDINATES]]''**|[[.:topaz|topaz]]|property of GeometricSimplicialComplex|no category|
|**''[[.:common#Plucker |coordinates]]''**|[[.:common|common]]|method of Plucker|no category|
|**''[[.:graph:GeometricGraph#COORDINATES |COORDINATES]]''**|[[.:graph|graph]]|property of GeometricGraph|no category|
|**''[[.:core:Core_Object#Core::Object |Core::Object]]''**|[[.:core|core]]|Objects|no category|
|**''[[.:core:Core_RuleChain#Core::RuleChain |Core::RuleChain]]''**|[[.:core|core]]|Objects|no category|
|**''[[.:polytope#core_point_algo |core_point_algo]]([[.:polytope:Polytope |Polytope]] p, [[.:common#Rational |Rational]] optLPvalue)''**|[[.:polytope|polytope]]|Functions|Optimization|
|**''[[.:polytope#core_point_algo_Rote |core_point_algo_Rote]]([[.:polytope:Polytope |Polytope]] p, [[.:common#Rational |Rational]] optLPvalue)''**|[[.:polytope|polytope]]|Functions|Optimization|
|**''[[.:matroid:Matroid#COTRANSVERSAL |COTRANSVERSAL]]''**|[[.:matroid|matroid]]|method of Matroid|Advanced properties|
|**''[[.:tropical#count_mn_cones |count_mn_cones]]([[.:common#Int |Int]] n, [[.:common#Int |Int]] k)''**|[[.:tropical|tropical]]|Functions|Moduli of rational curves|
|**''[[.:tropical#count_mn_rays |count_mn_rays]]([[.:common#Int |Int]] n)''**|[[.:tropical|tropical]]|Functions|Moduli of rational curves|
|**''[[.:tropical#CovectorDecoration |CovectorDecoration]]''**|[[.:tropical|tropical]]|Property_types|no category|
|**''[[.:tropical:CovectorLattice#CovectorLattice |CovectorLattice]]''**|[[.:tropical|tropical]]|Objects|Combinatorics|
|**''[[.:tropical:CovectorLattice#COVECTORS |COVECTORS]]''**|[[.:tropical|tropical]]|property of CovectorLattice|Combinatorics|
|**''[[.:tropical#covectors |covectors]]([[.:common#Matrix |Matrix]]<[[.:common#TropicalNumber |TropicalNumber]]<Addition,Scalar%%>>%% points, [[.:common#Matrix |Matrix]]<[[.:common#TropicalNumber |TropicalNumber]]<Addition,Scalar%%>>%% generators)''**|[[.:tropical|tropical]]|Functions|Tropical covector decomposition|
|**''[[.:tropical#covectors_of_scalar_vertices |covectors_of_scalar_vertices]]([[.:common#Matrix |Matrix]]<Scalar> points, [[.:common#Matrix |Matrix]]<[[.:common#TropicalNumber |TropicalNumber]]<Addition,Scalar%%>>%% generators)''**|[[.:tropical|tropical]]|Functions|Tropical covector decomposition|
|**''[[.:topaz#covering_relations |covering_relations]]([[.:graph:Graph |Graph]]<[[.:common#Directed |Directed]]> P)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:polytope#coxeter_group |coxeter_group]]([[.:common#String |String]] type)''**|[[.:polytope|polytope]]|Functions|Producing other objects|
|**''[[.:polytope:Polytope#CP_INDICES |CP_INDICES]]''**|[[.:polytope|polytope]]|property of Polytope|no category|
|**''[[.:fulton:VersalComponent#CQS_MATRIX |CQS_MATRIX]]''**|[[.:fulton|fulton]]|property of VersalComponent|Combinatorics|
|**''[[.:common#cramer |cramer]]([[.:common#Matrix |Matrix]] A, [[.:common#Vector |Vector]] b)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:tropical#cramer |cramer]]([[.:common#Matrix |Matrix]]<[[.:common#TropicalNumber |TropicalNumber]]> matrix)''**|[[.:tropical|tropical]]|Functions|Tropical operations|
|**''[[.:topaz:MorseMatching#CRITICAL_FACE_VECTOR |CRITICAL_FACE_VECTOR]]''**|[[.:topaz|topaz]]|property of MorseMatching|no category|
|**''[[.:topaz:MorseMatching#CRITICAL_FACES |CRITICAL_FACES]]''**|[[.:topaz|topaz]]|property of MorseMatching|no category|
|**''[[.:polytope#cross |cross]]<Scalar>([[.:common#Int |Int]] d, Scalar scale)''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:tropical#cross_variety |cross_variety]]<Addition>([[.:common#Int |Int]] n, [[.:common#Int |Int]] k, [[.:common#Rational |Rational]] h, [[.:common#Integer |Integer]] weight)''**|[[.:tropical|tropical]]|Functions|Creation functions for specific cycles|
|**''[[.:polytope#crosscut_complex |crosscut_complex]]([[.:polytope:Polytope |Polytope]] p)''**|[[.:polytope|polytope]]|Functions|Producing other objects|
|**''[[.:polytope:VoronoiPolyhedron#CRUST_GRAPH |CRUST_GRAPH]]''**|[[.:polytope|polytope]]|property of VoronoiPolyhedron|no category|
|**''[[.:polytope:Polytope#CS_PERMUTATION |CS_PERMUTATION]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope#cs_quotient |cs_quotient]]([[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Quotient spaces|
|**''[[.:polytope#cube |cube]]<Scalar>([[.:common#Int |Int]] d, Scalar x_up, Scalar x_low)''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:topaz#cube_complex |cube_complex]]([[.:common#Array |Array]]<[[.:common#Int |Int]]> x)''**|[[.:topaz|topaz]]|Functions|Producing from scratch|
|**''[[.:group#cube_group |cube_group]]([[.:common#Int |Int]] d)''**|[[.:group|group]]|Functions|Producing a group|
|**''[[.:tropical:LinesInCubic#CUBIC |CUBIC]]''**|[[.:tropical|tropical]]|property of LinesInCubic|Defining properties|
|**''[[.:polytope:Polytope#CUBICAL |CUBICAL]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:polytope:Polytope#CUBICAL_H_VECTOR |CUBICAL_H_VECTOR]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:polytope:Polytope#CUBICALITY |CUBICALITY]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:polytope#cuboctahedron |cuboctahedron]]()''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:tropical:Cycle#CURVE_EDGE_LENGTHS |CURVE_EDGE_LENGTHS]]()''**|[[.:tropical|tropical]]|method of Cycle|Weights and lattices|
|**''[[.:tropical#cutting_functions |cutting_functions]]([[.:tropical:Cycle |Cycle]]<Addition> F, [[.:common#Vector |Vector]]<[[.:common#Integer |Integer]]> weight_aim)''**|[[.:tropical|tropical]]|Functions|Inverse problems|
|**''[[.:tropical:Cycle#Cycle |Cycle]]<Addition>''**|[[.:tropical|tropical]]|Objects|no category|
|**''[[.:graph#cycle_graph |cycle_graph]]([[.:common#Int |Int]] n)''**|[[.:graph|graph]]|Functions|Producing a graph|
|**''[[.:topaz#CycleGroup |CycleGroup]]<Scalar>''**|[[.:topaz|topaz]]|Property_types|Topology|
|**''[[.:topaz:SimplicialComplex#CYCLES |CYCLES]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Topology|
|**''[[.:tropical#cyclic |cyclic]]<Addition>([[.:common#Int |Int]] d, [[.:common#Int |Int]] n)''**|[[.:tropical|tropical]]|Functions|Producing a tropical polytope|
|**''[[.:polytope#cyclic |cyclic]]([[.:common#Int |Int]] d, [[.:common#Int |Int]] n)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:polytope#cyclic_caratheodory |cyclic_caratheodory]]([[.:common#Int |Int]] d, [[.:common#Int |Int]] n)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:group#cyclic_group |cyclic_group]]([[.:common#Int |Int]] d)''**|[[.:group|group]]|Functions|Producing a group|
|**''[[.:fulton:CyclicQuotient#CyclicQuotient |CyclicQuotient]]''**|[[.:fulton|fulton]]|Objects|no category|
|**''[[.:polytope#cylinder_2 |cylinder_2]]()''**|[[.:polytope|polytope]]|Functions|Quotient spaces|
|**''[[.:polytope#davis_manifold |davis_manifold]]()''**|[[.:polytope|polytope]]|Functions|Quotient spaces|
|**''[[.:common#db_aggregate |db_aggregate]]''**|[[.:common|common]]|Functions|no category|
|**''[[.:common#db_count |db_count]](HASH query)''**|[[.:common|common]]|Functions|Database|
|**''[[.:common#db_cursor |db_cursor]](HASH query)''**|[[.:common|common]]|Functions|Database|
|**''[[.:common#db_get_list_col_for_db |db_get_list_col_for_db]]()''**|[[.:common|common]]|Functions|Database|
|**''[[.:common#db_get_list_db |db_get_list_db]]()''**|[[.:common|common]]|Functions|Database|
|**''[[.:common#db_get_list_db_col |db_get_list_db_col]]()''**|[[.:common|common]]|Functions|Database|
|**''[[.:common#db_get_type_information |db_get_type_information]]''**|[[.:common|common]]|Functions|no category|
|**''[[.:common#db_ids |db_ids]](HASH query)''**|[[.:common|common]]|Functions|Database|
|**''[[.:common#db_info |db_info]]()''**|[[.:common|common]]|Functions|Database|
|**''[[.:common#db_insert |db_insert]]([[.:core:Core_Object |Core::Object]] obj)''**|[[.:common|common]]|Functions|Database Write Access|
|**''[[.:common#db_metadata |db_metadata]]([[.:core:Core_Object |Core::Object]] p)''**|[[.:common|common]]|Functions|Database|
|**''[[.:common#db_print_metadata |db_print_metadata]]([[.:core:Core_Object |Core::Object]] p)''**|[[.:common|common]]|Functions|Database|
|**''[[.:common#db_print_searchable_fields |db_print_searchable_fields]]''**|[[.:common|common]]|Functions|no category|
|**''[[.:common#db_query |db_query]](HASH query)''**|[[.:common|common]]|Functions|Database|
|**''[[.:common#db_remove |db_remove]]([[.:common#String |String]] id)''**|[[.:common|common]]|Functions|Database Write Access|
|**''[[.:common#db_searchable_fields |db_searchable_fields]]([[.:common#String |String]] db, [[.:common#String |String]] collection)''**|[[.:common|common]]|Functions|Database|
|**''[[.:common#db_set_type_information |db_set_type_information]]()''**|[[.:common|common]]|Functions|Database Admin|
|**''[[.:common#db_write_collection_info |db_write_collection_info]]()''**|[[.:common|common]]|Functions|Database|
|**''[[.:common#db_write_db_info |db_write_db_info]]([[.:common#String |String]] db)''**|[[.:common|common]]|Functions|Database|
|**''[[.:common#DBCursor |DBCursor]]''**|[[.:common|common]]|Property_types|Database|
|**''[[.:topaz:HyperbolicSurface#DCEL_DATA |DCEL_DATA]]''**|[[.:topaz|topaz]]|property of HyperbolicSurface|no category|
|**''[[.:tropical#decomposition_polytope |decomposition_polytope]]([[.:tropical:Cycle |Cycle]] A)''**|[[.:tropical|tropical]]|Functions|Weight space|
|**''[[.:graph:Lattice#DECORATION |DECORATION]]''**|[[.:graph|graph]]|property of Lattice|Combinatorics|
|**''[[.:common#UniPolynomial |deg]]()''**|[[.:common|common]]|method of UniPolynomial|no category|
|**''[[.:common#Polynomial |deg]]()''**|[[.:common|common]]|method of Polynomial|no category|
|**''[[.:fulton:NormalToricVariety#DEGENERATE |DEGENERATE]]''**|[[.:fulton|fulton]]|property of NormalToricVariety|Algebraic Geometry|
|**''[[.:common#Graph |degree]]([[.:common#Int |Int]] node)''**|[[.:common|common]]|method of Graph|no category|
|**''[[.:tropical:Cycle#DEGREE |DEGREE]]''**|[[.:tropical|tropical]]|property of Cycle|Intersection theory|
|**''[[.:tropical#degree |degree]]([[.:tropical:Cycle |Cycle]] A)''**|[[.:tropical|tropical]]|Functions|Intersection theory|
|**''[[.:group:Action#DEGREE |DEGREE]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:polytope#degree |degree]]<Scalar>([[.:polytope:PointConfiguration |PointConfiguration]] P)''**|[[.:polytope|polytope]]|Functions|Combinatorics|
|**''[[.:polytope:Cone#DEGREE_ONE_GENERATORS |DEGREE_ONE_GENERATORS]]''**|[[.:polytope|polytope]]|property of Cone|Lattice points in cones|
|**''[[.:graph:Graph#DEGREE_SEQUENCE |DEGREE_SEQUENCE]]''**|[[.:graph|graph]]|property of Graph|no category|
|**''[[.:polytope:VoronoiPolyhedron#DELAUNAY_DIAGRAM |DELAUNAY_DIAGRAM]]''**|[[.:polytope|polytope]]|property of VoronoiPolyhedron|no category|
|**''[[.:polytope:VoronoiPolyhedron#DELAUNAY_GRAPH |DELAUNAY_GRAPH]]''**|[[.:polytope|polytope]]|property of VoronoiPolyhedron|no category|
|**''[[.:polytope:VoronoiPolyhedron#DELAUNAY_TRIANGULATION |DELAUNAY_TRIANGULATION]]''**|[[.:polytope|polytope]]|property of VoronoiPolyhedron|no category|
|**''[[.:polytope#delaunay_triangulation |delaunay_triangulation]]([[.:polytope:VoronoiPolyhedron |VoronoiPolyhedron]] V)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:common#Graph |delete_all_edges]]([[.:common#Int |Int]] tail_node, [[.:common#Int |Int]] head_node)''**|[[.:common|common]]|method of Graph|no category|
|**''[[.:common#Graph |delete_edge]]''**|[[.:common|common]]|method of Graph|no category|
|**''[[.:common#Graph |delete_node]]([[.:common#Int |Int]] node)''**|[[.:common|common]]|method of Graph|no category|
|**''[[.:topaz#deletion |deletion]]([[.:topaz:SimplicialComplex |SimplicialComplex]] complex, [[.:common#Set |Set]]<[[.:common#Int |Int]]> face)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:matroid#deletion |deletion]]([[.:matroid:Matroid |Matroid]] m, [[.:common#Set |Set]]<[[.:common#Int |Int]]> S)''**|[[.:matroid|matroid]]|Functions|Producing a matroid from matroids|
|**''[[.:matroid#deletion |deletion]]([[.:matroid:Matroid |Matroid]] m, [[.:common#Int |Int]] x)''**|[[.:matroid|matroid]]|Functions|Producing a matroid from matroids|
|**''[[.:polytope#deletion |deletion]]([[.:polytope:VectorConfiguration |VectorConfiguration]] C, [[.:common#Int |Int]] v)''**|[[.:polytope|polytope]]|Functions|Combinatorics|
|**''[[.:tropical:Cycle#delocalize |delocalize]]()''**|[[.:tropical|tropical]]|method of Cycle|Local computations|
|**''[[.:polytope#delpezzo |delpezzo]]([[.:common#Int |Int]] d, Scalar scale)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:common#denominator |denominator]]([[.:common#Rational |Rational]] a)''**|[[.:common|common]]|Functions|Arithmetic|
|**''[[.:common#denominator |denominator]]([[.:common#RationalFunction |RationalFunction]] f)''**|[[.:common|common]]|Functions|Arithmetic|
|**''[[.:common#denominator |denominator]]([[.:common#PuiseuxFraction |PuiseuxFraction]] f)''**|[[.:common|common]]|Functions|Arithmetic|
|**''[[.:tropical:RationalFunction#DENOMINATOR |DENOMINATOR]]''**|[[.:tropical|tropical]]|property of RationalFunction|Defining morphisms and functions|
|**''[[.:common#dense |dense]]([[.:common#Vector |Vector]] v)''**|[[.:common|common]]|Functions|Data Conversion|
|**''[[.:common#dense |dense]]([[.:common#Matrix |Matrix]] m)''**|[[.:common|common]]|Functions|Data Conversion|
|**''[[.:common#dense |dense]]<Element>([[.:common#SparseVector |SparseVector]]<Element> v)''**|[[.:common|common]]|Functions|Data Conversion|
|**''[[.:common#dense |dense]]<Element>([[.:common#SparseMatrix |SparseMatrix]]<Element> m)''**|[[.:common|common]]|Functions|Data Conversion|
|**''[[.:common#dense |dense]]([[.:common#IncidenceMatrix |IncidenceMatrix]] m)''**|[[.:common|common]]|Functions|Data Conversion|
|**''[[.:common#dense |dense]]([[.:common#Set |Set]] s, [[.:common#Int |Int]] dim)''**|[[.:common|common]]|Functions|Data Conversion|
|**''[[.:ideal:Ideal#DEPTH |DEPTH]]''**|[[.:ideal|ideal]]|property of Ideal|Commutative algebra|
|**''[[.:common#det |det]]([[.:common#Matrix |Matrix]]<//Scalar//> A)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:common#diag |diag]]([[.:common#Vector |Vector]] d)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:common#diag |diag]]([[.:common#Matrix |Matrix]] m1, [[.:common#Matrix |Matrix]] m2)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:common#Matrix |diagonal]]([[.:common#Int |Int]] i)''**|[[.:common|common]]|method of Matrix|no category|
|**''[[.:graph:Graph#DIAMETER |DIAMETER]]''**|[[.:graph|graph]]|property of Graph|no category|
|**''[[.:polytope:Cone#DIAMETER |DIAMETER]]()''**|[[.:polytope|polytope]]|method of Cone|Backward compatibility|
|**''[[.:polytope#dihedral_angle |dihedral_angle]]([[.:common#Vector |Vector]]<Scalar> H1, [[.:common#Vector |Vector]]<Scalar> H2)''**|[[.:polytope|polytope]]|Functions|Geometry|
|**''[[.:polytope:Polytope#DIHEDRAL_ANGLES |DIHEDRAL_ANGLES]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:group#dihedral_group |dihedral_group]]([[.:common#Int |Int]] o)''**|[[.:group|group]]|Functions|Producing a group|
|**''[[.:ideal:Ideal#DIM |DIM]]''**|[[.:ideal|ideal]]|property of Ideal|Commutative algebra|
|**''[[.:fan:SubdivisionOfPoints#DIM |DIM]]''**|[[.:fan|fan]]|method of SubdivisionOfPoints|Geometry|
|**''[[.:fan:PolyhedralFan#dim |dim]]()''**|[[.:fan|fan]]|method of PolyhedralFan|Combinatorics|
|**''[[.:fan:PolyhedralFan#DIM |DIM]]()''**|[[.:fan|fan]]|method of PolyhedralFan|Geometry|
|**''[[.:fan:PolyhedralComplex#DIM |DIM]]()''**|[[.:fan|fan]]|method of PolyhedralComplex|Geometry|
|**''[[.:topaz:SimplicialComplex#dim |dim]]''**|[[.:topaz|topaz]]|method of SimplicialComplex|no category|
|**''[[.:topaz:SimplicialComplex#DIM |DIM]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Combinatorics|
|**''[[.:topaz#ChainComplex |dim]]()''**|[[.:topaz|topaz]]|method of ChainComplex|no category|
|**''[[.:topaz#Filtration |dim]]()''**|[[.:topaz|topaz]]|method of Filtration|no category|
|**''[[.:common#Vector |dim]]()''**|[[.:common|common]]|method of Vector|no category|
|**''[[.:common#Graph |dim]]()''**|[[.:common|common]]|method of Graph|no category|
|**''[[.:tropical:CovectorLattice#dim |dim]]''**|[[.:tropical|tropical]]|method of CovectorLattice|Combinatorics|
|**''[[.:polytope:Polytope#DIM |DIM]]()''**|[[.:polytope|polytope]]|method of Polytope|Geometry|
|**''[[.:polytope:Cone#dim |dim]]()''**|[[.:polytope|polytope]]|method of Cone|Combinatorics|
|**''[[.:polytope:Cone#DIM |DIM]]()''**|[[.:polytope|polytope]]|method of Cone|Geometry|
|**''[[.:polytope:PointConfiguration#DIM |DIM]]()''**|[[.:polytope|polytope]]|method of PointConfiguration|Geometry|
|**''[[.:polytope:QuotientSpace#DIM |DIM]]''**|[[.:polytope|polytope]]|property of QuotientSpace|Combinatorics|
|**''[[.:fulton:VersalComponent#DIMENSION |DIMENSION]]''**|[[.:fulton|fulton]]|property of VersalComponent|Combinatorics|
|**''[[.:graph:Lattice#DIMS |DIMS]]''**|[[.:graph|graph]]|property of Lattice|Combinatorics|
|**''[[.:matroid#direct_sum |direct_sum]]([[.:matroid:Matroid |Matroid]] m_1, [[.:matroid:Matroid |Matroid]] m_2)''**|[[.:matroid|matroid]]|Functions|Producing a matroid from matroids|
|**''[[.:common#Directed |Directed]]''**|[[.:common|common]]|Property_types|Artificial|
|**''[[.:polytope:LinearProgram#DIRECTED_BOUNDED_GRAPH |DIRECTED_BOUNDED_GRAPH]]''**|[[.:polytope|polytope]]|property of LinearProgram|no category|
|**''[[.:polytope:Visual_Polytope#DIRECTED_GRAPH |DIRECTED_GRAPH]]([[.:polytope:LinearProgram |LinearProgram]] lp)''**|[[.:polytope|polytope]]|method of Visual::Polytope|no category|
|**''[[.:polytope:Visual_PolytopeGraph#DIRECTED_GRAPH |DIRECTED_GRAPH]]([[.:polytope:LinearProgram |LinearProgram]] lp)''**|[[.:polytope|polytope]]|method of Visual::PolytopeGraph|no category|
|**''[[.:polytope:Visual_SchlegelDiagram#DIRECTED_GRAPH |DIRECTED_GRAPH]]([[.:polytope:LinearProgram |LinearProgram]] lp)''**|[[.:polytope|polytope]]|method of Visual::SchlegelDiagram|no category|
|**''[[.:polytope:LinearProgram#DIRECTED_GRAPH |DIRECTED_GRAPH]]''**|[[.:polytope|polytope]]|property of LinearProgram|no category|
|**''[[.:common#DirectedMulti |DirectedMulti]]''**|[[.:common|common]]|Property_types|Artificial|
|**''[[.:core:Core_Object#disable_rules |disable_rules]]([[.:common#String |String]] pattern)''**|[[.:core|core]]|method of Core::Object|no category|
|**''[[.:core#disable_rules |disable_rules]]([[.:common#String |String]] pattern)''**|[[.:core|core]]|Functions|Basic|
|**''[[.:topaz#disjoint_union |disjoint_union]]([[.:topaz:SimplicialComplex |SimplicialComplex]] complex1, [[.:topaz:SimplicialComplex |SimplicialComplex]] complex2)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:common#distance_matrix |distance_matrix]]([[.:common#Matrix |Matrix]] S, CODE d)''**|[[.:common|common]]|Functions|Utilities|
|**''[[.:common#Div |Div]]<Scalar>''**|[[.:common|common]]|Property_types|Arithmetic|
|**''[[.:common#div |div]](//Scalar// a, //Scalar// b)''**|[[.:common|common]]|Functions|Arithmetic|
|**''[[.:common#Matrix |div_exact]]([[.:common#Int |Int]] a)''**|[[.:common|common]]|method of Matrix|no category|
|**''[[.:common#Vector |div_exact]]([[.:common#Int |Int]] a)''**|[[.:common|common]]|method of Vector|no category|
|**''[[.:common#div_exact |div_exact]]([[.:common#Integer |Integer]] a, [[.:common#Integer |Integer]] b)''**|[[.:common|common]]|Functions|Arithmetic|
|**''[[.:ideal:Groebner#division |division]]''**|[[.:ideal|ideal]]|method of Groebner|no category|
|**''[[.:fulton:NormalToricVariety#DIVISOR |DIVISOR]]''**|[[.:fulton|fulton]]|property of NormalToricVariety|Algebraic Geometry|
|**''[[.:tropical#divisor |divisor]]([[.:tropical:Cycle |Cycle]] C, [[.:tropical:RationalFunction |RationalFunction]] F)''**|[[.:tropical|tropical]]|Functions|Divisor computation|
|**''[[.:tropical#divisor_nr |divisor_nr]]([[.:tropical:Cycle |Cycle]] C, [[.:tropical:RationalFunction |RationalFunction]] F)''**|[[.:tropical|tropical]]|Functions|Divisor computation|
|**''[[.:polytope#dodecahedron |dodecahedron]]()''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:tropical:Morphism#DOMAIN |DOMAIN]]''**|[[.:tropical|tropical]]|property of Morphism|Defining morphisms and functions|
|**''[[.:tropical:RationalFunction#DOMAIN |DOMAIN]]''**|[[.:tropical|tropical]]|property of RationalFunction|Defining morphisms and functions|
|**''[[.:group:Action#DOMAIN_NAME |DOMAIN_NAME]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:tropical:Polytope#DOME |DOME]]''**|[[.:tropical|tropical]]|property of Polytope|Geometry|
|**''[[.:tropical:Hypersurface#DOME |DOME]]''**|[[.:tropical|tropical]]|property of Hypersurface|no category|
|**''[[.:core:Core_Object#dont_save |dont_save]]''**|[[.:core|core]]|method of Core::Object|no category|
|**''[[.:matroid:Matroid#DUAL |DUAL]]''**|[[.:matroid|matroid]]|property of Matroid|Duality|
|**''[[.:matroid#dual |dual]]([[.:matroid:Matroid |Matroid]] m)''**|[[.:matroid|matroid]]|Functions|Producing a matroid from matroids|
|**''[[.:matroid#dual |dual]]([[.:matroid:ValuatedMatroid |ValuatedMatroid]]<Addition,Scalar> M)''**|[[.:matroid|matroid]]|Functions|Producing a matroid from matroids|
|**''[[.:tropical#dual_addition_version |dual_addition_version]]([[.:tropical:Polytope |Polytope]]<Addition,Scalar> polytope, [[.:common#Bool |Bool]] strong_conversion)''**|[[.:tropical|tropical]]|Functions|Conversion of tropical addition|
|**''[[.:tropical#dual_addition_version |dual_addition_version]]([[.:common#TropicalNumber |TropicalNumber]]<Addition,Scalar> number, [[.:common#Bool |Bool]] strong_conversion)''**|[[.:tropical|tropical]]|Functions|Conversion of tropical addition|
|**''[[.:tropical#dual_addition_version |dual_addition_version]]([[.:common#Vector |Vector]]<[[.:common#TropicalNumber |TropicalNumber]]<Addition,Scalar%%>>%% vector, [[.:common#Bool |Bool]] strong_conversion)''**|[[.:tropical|tropical]]|Functions|Conversion of tropical addition|
|**''[[.:tropical#dual_addition_version |dual_addition_version]]([[.:common#Matrix |Matrix]]<[[.:common#TropicalNumber |TropicalNumber]]<Addition,Scalar%%>>%% matrix, [[.:common#Bool |Bool]] strong_conversion)''**|[[.:tropical|tropical]]|Functions|Conversion of tropical addition|
|**''[[.:tropical#dual_addition_version |dual_addition_version]]([[.:common#Polynomial |Polynomial]]<[[.:common#TropicalNumber |TropicalNumber]]<Addition,Scalar%%>>%% polynomial, [[.:common#Bool |Bool]] strong_conversion)''**|[[.:tropical|tropical]]|Functions|Conversion of tropical addition|
|**''[[.:tropical#dual_addition_version |dual_addition_version]]([[.:tropical:Cycle |Cycle]]<Addition> cycle, [[.:common#Bool |Bool]] strong_conversion)''**|[[.:tropical|tropical]]|Functions|Conversion of tropical addition|
|**''[[.:tropical#dual_addition_version |dual_addition_version]]([[.:tropical:MatroidRingCycle |MatroidRingCycle]]<Addition> M)''**|[[.:tropical|tropical]]|Functions|Conversion of tropical addition|
|**''[[.:topaz:SimplicialComplex#DUAL_BIPARTITE |DUAL_BIPARTITE]]()''**|[[.:topaz|topaz]]|method of SimplicialComplex|Combinatorics|
|**''[[.:polytope:Polytope#DUAL_BOUNDED_H_VECTOR |DUAL_BOUNDED_H_VECTOR]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:topaz:SimplicialComplex#DUAL_CONNECTED |DUAL_CONNECTED]]()''**|[[.:topaz|topaz]]|method of SimplicialComplex|Topology|
|**''[[.:topaz:SimplicialComplex#DUAL_CONNECTED_COMPONENTS |DUAL_CONNECTED_COMPONENTS]]()''**|[[.:topaz|topaz]]|method of SimplicialComplex|Combinatorics|
|**''[[.:topaz:SimplicialComplex#DUAL_CONNECTIVITY |DUAL_CONNECTIVITY]]()''**|[[.:topaz|topaz]]|method of SimplicialComplex|Combinatorics|
|**''[[.:polytope:Cone#DUAL_CONNECTIVITY |DUAL_CONNECTIVITY]]()''**|[[.:polytope|polytope]]|method of Cone|Combinatorics|
|**''[[.:fulton:CyclicQuotient#DUAL_CONTINUED_FRACTION |DUAL_CONTINUED_FRACTION]]''**|[[.:fulton|fulton]]|property of CyclicQuotient|Input properties|
|**''[[.:polytope:Cone#DUAL_DIAMETER |DUAL_DIAMETER]]()''**|[[.:polytope|polytope]]|method of Cone|Backward compatibility|
|**''[[.:polytope:Cone#DUAL_EVEN |DUAL_EVEN]]()''**|[[.:polytope|polytope]]|method of Cone|Combinatorics|
|**''[[.:graph:Lattice#dual_faces |dual_faces]]()''**|[[.:graph|graph]]|method of Lattice|Combinatorics|
|**''[[.:fan:PolyhedralFan#DUAL_GRAPH |DUAL_GRAPH]]''**|[[.:fan|fan]]|property of PolyhedralFan|Combinatorics|
|**''[[.:topaz:SimplicialComplex#DUAL_GRAPH |DUAL_GRAPH]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Combinatorics|
|**''[[.:polytope:Polytope#DUAL_GRAPH |DUAL_GRAPH]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:polytope:Cone#DUAL_GRAPH |DUAL_GRAPH]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:topaz:SimplicialComplex#DUAL_GRAPH_SIGNATURE |DUAL_GRAPH_SIGNATURE]]()''**|[[.:topaz|topaz]]|method of SimplicialComplex|Combinatorics|
|**''[[.:polytope:Cone#DUAL_GRAPH_SIGNATURE |DUAL_GRAPH_SIGNATURE]]()''**|[[.:polytope|polytope]]|method of Cone|Topology|
|**''[[.:polytope:Polytope#DUAL_H_VECTOR |DUAL_H_VECTOR]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:polytope#dual_linear_program |dual_linear_program]]([[.:polytope:Polytope |Polytope]] P, [[.:common#Bool |Bool]] maximize)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:topaz:SimplicialComplex#DUAL_MAX_CLIQUES |DUAL_MAX_CLIQUES]]()''**|[[.:topaz|topaz]]|method of SimplicialComplex|Combinatorics|
|**''[[.:tropical:Hypersurface#DUAL_SUBDIVISION |DUAL_SUBDIVISION]]''**|[[.:tropical|tropical]]|property of Hypersurface|Combinatorics|
|**''[[.:tropical:Hypersurface#dual_subdivision |dual_subdivision]]()''**|[[.:tropical|tropical]]|method of Hypersurface|Combinatorics|
|**''[[.:fan:PlanarNet#DUAL_TREE |DUAL_TREE]]''**|[[.:fan|fan]]|property of PlanarNet|Combinatorics|
|**''[[.:polytope:Cone#DUAL_TRIANGLE_FREE |DUAL_TRIANGLE_FREE]]()''**|[[.:polytope|polytope]]|method of Cone|Backward compatibility|
|**''[[.:topaz#dualOutitudes |dualOutitudes]]([[.:common#Array |Array]]<[[.:common#Array |Array]]<[[.:common#Int |Int]]%%>>%% dcel_data)''**|[[.:topaz|topaz]]|Functions|Other|
|**''[[.:polytope#dwarfed_cube |dwarfed_cube]]([[.:common#Int |Int]] d)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:polytope#dwarfed_product_polygons |dwarfed_product_polygons]]([[.:common#Int |Int]] d, [[.:common#Int |Int]] s)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:common#EdgeHashMap |edge]]([[.:common#Int |Int]] from, [[.:common#Int |Int]] to)''**|[[.:common|common]]|method of EdgeHashMap|no category|
|**''[[.:common#Graph |edge]]([[.:common#Int |Int]] tail_node, [[.:common#Int |Int]] head_node)''**|[[.:common|common]]|method of Graph|no category|
|**''[[.:common#EdgeMap |edge]]([[.:common#Int |Int]] from, [[.:common#Int |Int]] to)''**|[[.:common|common]]|method of EdgeMap|no category|
|**''[[.:polytope:Polytope#EDGE_COLORS |EDGE_COLORS]]''**|[[.:polytope|polytope]]|property of Polytope|no category|
|**''[[.:polytope:Visual_PolytopeGraph#EDGE_COLORS |EDGE_COLORS]]()''**|[[.:polytope|polytope]]|method of Visual::PolytopeGraph|no category|
|**''[[.:topaz#edge_contraction |edge_contraction]]([[.:topaz:SimplicialComplex |SimplicialComplex]] complex)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:polytope:Polytope#EDGE_DIRECTIONS |EDGE_DIRECTIONS]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope:Polytope#EDGE_DIRECTIONS |EDGE_DIRECTIONS]]''**|[[.:polytope|polytope]]|property of Polytope|no category|
|**''[[.:common#Graph |edge_exists]]([[.:common#Int |Int]] tail_node, [[.:common#Int |Int]] head_node)''**|[[.:common|common]]|method of Graph|no category|
|**''[[.:graph#edge_lengths |edge_lengths]]([[.:common#Graph |Graph]]<[[.:common#Directed |Directed]]> G, [[.:common#Matrix |Matrix]] coords)''**|[[.:graph|graph]]|Functions|Other|
|**''[[.:polytope:Polytope#EDGE_LENGTHS |EDGE_LENGTHS]]''**|[[.:polytope|polytope]]|property of Polytope|no category|
|**''[[.:polytope#edge_middle |edge_middle]]([[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:polytope:Polytope#EDGE_ORIENTABLE |EDGE_ORIENTABLE]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:polytope#edge_orientable |edge_orientable]]([[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Other|
|**''[[.:polytope:Polytope#EDGE_ORIENTATION |EDGE_ORIENTATION]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:topaz:SimplicialComplex#EDGE_WEIGHTS |EDGE_WEIGHTS]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|no category|
|**''[[.:common#EdgeHashMap |EdgeHashMap]]<Dir, Element>''**|[[.:common|common]]|Property_types|Graph Types|
|**''[[.:common#EdgeIterator |EdgeIterator]]''**|[[.:common|common]]|Property_types|Artificial|
|**''[[.:common#EdgeList |EdgeList]]''**|[[.:common|common]]|Property_types|Artificial|
|**''[[.:common#EdgeMap |EdgeMap]]<Dir, Element>''**|[[.:common|common]]|Property_types|Graph Types|
|**''[[.:common#Graph |edges]]()''**|[[.:common|common]]|method of Graph|no category|
|**''[[.:common#edges |edges]]([[.:common#Graph |Graph]] graph)''**|[[.:common|common]]|Functions|Graph Operations|
|**''[[.:graph:Graph#EDGES |EDGES]]()''**|[[.:graph|graph]]|method of Graph|Combinatorics|
|**''[[.:fulton:TDivisor#EFFECTIVE |EFFECTIVE]]''**|[[.:fulton|fulton]]|property of TDivisor|Algebraic Geometry|
|**''[[.:fulton:NormalToricVariety#EFFECTIVE_CONE |EFFECTIVE_CONE]]''**|[[.:fulton|fulton]]|property of NormalToricVariety|Algebraic Geometry|
|**''[[.:polytope:Polytope#EHRHART_POLYNOMIAL |EHRHART_POLYNOMIAL]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in cones|
|**''[[.:polytope:Polytope#EHRHART_POLYNOMIAL_COEFF |EHRHART_POLYNOMIAL_COEFF]]()''**|[[.:polytope|polytope]]|method of Polytope|Lattice points in cones|
|**''[[.:polytope:Polytope#EHRHART_QUASI_POLYNOMIAL |EHRHART_QUASI_POLYNOMIAL]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in cones|
|**''[[.:common#eigenvalues |eigenvalues]]([[.:common#Matrix |Matrix]]<[[.:common#Float |Float]]> A)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:graph:Graph#EIGENVALUES_LAPLACIAN |EIGENVALUES_LAPLACIAN]]''**|[[.:graph|graph]]|property of Graph|no category|
|**''[[.:graph#eigenvalues_laplacian |eigenvalues_laplacian]]([[.:graph:Graph |Graph]] G)''**|[[.:graph|graph]]|Functions|Combinatorics|
|**''[[.:graph#eigenvalues_laplacian |eigenvalues_laplacian]]([[.:graph:Graph |Graph]] G)''**|[[.:graph|graph]]|Functions|Combinatorics|
|**''[[.:common#Matrix |elem]]([[.:common#Int |Int]] r, [[.:common#Int |Int]] c)''**|[[.:common|common]]|method of Matrix|no category|
|**''[[.:common#IncidenceMatrix |elem]]([[.:common#Int |Int]] r, [[.:common#Int |Int]] c)''**|[[.:common|common]]|method of IncidenceMatrix|no category|
|**''[[.:common#eliminate_denominators |eliminate_denominators]]([[.:common#Vector |Vector]] v)''**|[[.:common|common]]|Functions|Lattice Tools|
|**''[[.:common#eliminate_denominators_entire |eliminate_denominators_entire]]([[.:common#Matrix |Matrix]] v)''**|[[.:common|common]]|Functions|Lattice Tools|
|**''[[.:common#eliminate_denominators_entire_affine |eliminate_denominators_entire_affine]]([[.:common#Matrix |Matrix]] v)''**|[[.:common|common]]|Functions|Lattice Tools|
|**''[[.:common#eliminate_denominators_in_rows |eliminate_denominators_in_rows]]([[.:common#Matrix |Matrix]] M)''**|[[.:common|common]]|Functions|Lattice Tools|
|**''[[.:common#Polynomial |embed]]([[.:common#Int |Int]] nvars)''**|[[.:common|common]]|method of Polynomial|no category|
|**''[[.:tropical#empty_cycle |empty_cycle]]<Addition>([[.:common#Int |Int]] ambient_dim)''**|[[.:tropical|tropical]]|Functions|Creation functions for specific cycles|
|**''[[.:tropical:Polytope#ENVELOPE |ENVELOPE]]''**|[[.:tropical|tropical]]|property of Polytope|Geometry|
|**''[[.:polytope:Cone#EPSILON |EPSILON]]''**|[[.:polytope|polytope]]|property of Cone|Geometry|
|**''[[.:common#equal_bases |equal_bases]]([[.:common#Matrix |Matrix]] M1, [[.:common#Matrix |Matrix]] M2)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:polytope#equal_polyhedra |equal_polyhedra]]([[.:polytope:Polytope |Polytope]] P1, [[.:polytope:Polytope |Polytope]] P2)''**|[[.:polytope|polytope]]|Functions|Comparing|
|**''[[.:polytope:Polytope#EQUATIONS |EQUATIONS]]''**|[[.:polytope|polytope]]|property of Polytope|Input property|
|**''[[.:polytope:Cone#EQUATIONS |EQUATIONS]]''**|[[.:polytope|polytope]]|property of Cone|Input property|
|**''[[.:group:Action#EQUATIONS_GENERATORS |EQUATIONS_GENERATORS]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:common#EdgeHashMap |erase]]([[.:common#Int |Int]] from, [[.:common#Int |Int]] to)''**|[[.:common|common]]|method of EdgeHashMap|no category|
|**''[[.:common#FacetList |erase]]([[.:common#Set |Set]] f)''**|[[.:common|common]]|method of FacetList|no category|
|**''[[.:common#FacetList |eraseSubsets]]([[.:common#Set |Set]] s)''**|[[.:common|common]]|method of FacetList|no category|
|**''[[.:common#FacetList |eraseSupersets]]([[.:common#Set |Set]] s)''**|[[.:common|common]]|method of FacetList|no category|
|**''[[.:polytope:Cone#ESSENTIALLY_GENERIC |ESSENTIALLY_GENERIC]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:topaz:SimplicialComplex#EULER_CHARACTERISTIC |EULER_CHARACTERISTIC]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Topology|
|**''[[.:common#UniPolynomial |evaluate]](Coefficient x, Exponent exp)''**|[[.:common|common]]|method of UniPolynomial|no category|
|**''[[.:common#evaluate |evaluate]]([[.:common#PuiseuxFraction |PuiseuxFraction]] f, //Coefficient// x, [[.:common#Int |Int]] exp)''**|[[.:common|common]]|Functions|no category|
|**''[[.:common#evaluate |evaluate]]([[.:common#Matrix |Matrix]] m, Coefficient x, [[.:common#Int |Int]] exp)''**|[[.:common|common]]|Functions|no category|
|**''[[.:common#evaluate |evaluate]]([[.:common#Vector |Vector]] v, Coefficient x, [[.:common#Int |Int]] exp)''**|[[.:common|common]]|Functions|no category|
|**''[[.:common#UniPolynomial |evaluate_float]]([[.:common#Float |Float]] x)''**|[[.:common|common]]|method of UniPolynomial|no category|
|**''[[.:common#evaluate_float |evaluate_float]]([[.:common#PuiseuxFraction |PuiseuxFraction]] f, [[.:common#Float |Float]] x)''**|[[.:common|common]]|Functions|no category|
|**''[[.:common#evaluate_float |evaluate_float]]([[.:common#Matrix |Matrix]] m, [[.:common#Float |Float]] x)''**|[[.:common|common]]|Functions|no category|
|**''[[.:common#evaluate_float |evaluate_float]]([[.:common#Vector |Vector]] v, [[.:common#Float |Float]] x)''**|[[.:common|common]]|Functions|no category|
|**''[[.:tropical#evaluation_map |evaluation_map]]<Addition>([[.:common#Int |Int]] n, [[.:common#Matrix |Matrix]]<[[.:common#Rational |Rational]]> Delta, [[.:common#Int |Int]] i)''**|[[.:tropical|tropical]]|Functions|Moduli of rational curves|
|**''[[.:tropical#evaluation_map |evaluation_map]]<Addition>([[.:common#Int |Int]] n, [[.:common#Int |Int]] r, [[.:common#Int |Int]] d, [[.:common#Int |Int]] i)''**|[[.:tropical|tropical]]|Functions|Moduli of rational curves|
|**''[[.:polytope:Cone#EVEN |EVEN]]()''**|[[.:polytope|polytope]]|method of Cone|Combinatorics|
|**''[[.:polytope:Cone#EXCESS_FACET_DEGREE |EXCESS_FACET_DEGREE]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:polytope:Cone#EXCESS_RAY_DEGREE |EXCESS_RAY_DEGREE]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:polytope:Polytope#EXCESS_VERTEX_DEGREE |EXCESS_VERTEX_DEGREE]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:core#exit |exit]]''**|[[.:core|core]]|Functions|Interactive|
|**''[[.:group:Action#EXPLICIT_ORBIT_REPRESENTATIVE_MATRIX |EXPLICIT_ORBIT_REPRESENTATIVE_MATRIX]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:group:Action#EXPLICIT_ORBIT_REPRESENTATIVES |EXPLICIT_ORBIT_REPRESENTATIVES]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:polytope#explicit_zonotope |explicit_zonotope]]([[.:common#Matrix |Matrix]] zones)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:core#export_configured |export_configured]]([[.:common#String |String]] filename)''**|[[.:core|core]]|Functions|Interactive|
|**''[[.:common#ext_gcd |ext_gcd]](//Scalar// a, //Scalar// b)''**|[[.:common|common]]|Functions|Arithmetic|
|**''[[.:core#extend_application |extend_application]]([[.:common#String |String]] extension, [[.:common#String |String]] app_name)''**|[[.:core|core]]|Functions|Interactive|
|**''[[.:common#ExtGCD |ExtGCD]]<Scalar>''**|[[.:common|common]]|Property_types|Arithmetic|
|**''[[.:fan:PolyhedralFan#F2_VECTOR |F2_VECTOR]]''**|[[.:fan|fan]]|property of PolyhedralFan|Combinatorics|
|**''[[.:topaz:SimplicialComplex#F2_VECTOR |F2_VECTOR]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Combinatorics|
|**''[[.:polytope:Polytope#F2_VECTOR |F2_VECTOR]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:polytope:Cone#F2_VECTOR |F2_VECTOR]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:matroid#f8_matroid |f8_matroid]]()''**|[[.:matroid|matroid]]|Functions|Producing a matroid from scratch|
|**''[[.:fan:PolyhedralFan#F_VECTOR |F_VECTOR]]''**|[[.:fan|fan]]|property of PolyhedralFan|Combinatorics|
|**''[[.:topaz:SimplicialComplex#F_VECTOR |F_VECTOR]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Combinatorics|
|**''[[.:matroid:Matroid#F_VECTOR |F_VECTOR]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:polytope:Polytope#F_VECTOR |F_VECTOR]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:polytope:Cone#F_VECTOR |F_VECTOR]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:polytope:QuotientSpace#F_VECTOR |F_VECTOR]]''**|[[.:polytope|polytope]]|property of QuotientSpace|Combinatorics|
|**''[[.:common#fac |fac]]([[.:common#Int |Int]] n)''**|[[.:common|common]]|Functions|Arithmetic|
|**''[[.:graph#BasicDecoration |face]]()''**|[[.:graph|graph]]|method of BasicDecoration|no category|
|**''[[.:polytope#face |face]]([[.:polytope:Cone |Cone]] P, [[.:common#Set |Set]] S)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:fan#face_fan |face_fan]]<Coord>([[.:polytope:Polytope |Polytope]] p, [[.:common#Vector |Vector]] v)''**|[[.:fan|fan]]|Functions|Producing a fan|
|**''[[.:fan#face_fan |face_fan]]<Coord>([[.:polytope:Polytope |Polytope]] p)''**|[[.:fan|fan]]|Functions|Producing a fan|
|**''[[.:polytope:QuotientSpace#FACE_ORBITS |FACE_ORBITS]]''**|[[.:polytope|polytope]]|property of QuotientSpace|Combinatorics|
|**''[[.:polytope#face_pair |face_pair]]([[.:polytope:Cone |Cone]] P, [[.:common#Set |Set]] S)''**|[[.:polytope|polytope]]|Functions|Other|
|**''[[.:polytope:Polytope#FACE_SIMPLICITY |FACE_SIMPLICITY]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:topaz:Visual_SimplicialComplex#FACES |FACES]]([[.:common#String |String]] PROPERTY_NAME)''**|[[.:topaz|topaz]]|method of Visual::SimplicialComplex|no category|
|**''[[.:topaz:Visual_SimplicialComplexLattice#FACES |FACES]]([[.:common#Array |Array]]<[[.:common#Set |Set]]> faces)''**|[[.:topaz|topaz]]|method of Visual::SimplicialComplexLattice|no category|
|**''[[.:topaz#CycleGroup |faces]]()''**|[[.:topaz|topaz]]|method of CycleGroup|no category|
|**''[[.:graph:Lattice#FACES |FACES]]''**|[[.:graph|graph]]|property of Lattice|Combinatorics|
|**''[[.:polytope:QuotientSpace#FACES |FACES]]''**|[[.:polytope|polytope]]|property of QuotientSpace|Combinatorics|
|**''[[.:polytope:Cone#faces_of_dim |faces_of_dim]]([[.:polytope:Cone |Cone]] c)''**|[[.:polytope|polytope]]|method of Cone|Combinatorics|
|**''[[.:polytope:PointConfiguration#faces_of_dim |faces_of_dim]]([[.:polytope:PointConfiguration |PointConfiguration]] p)''**|[[.:polytope|polytope]]|method of PointConfiguration|Combinatorics|
|**''[[.:polytope:SchlegelDiagram#FACET |FACET]]''**|[[.:polytope|polytope]]|property of SchlegelDiagram|no category|
|**''[[.:polytope#facet |facet]]([[.:polytope:Cone |Cone]] P, [[.:common#Int |Int]] facet)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:polytope:Cone#FACET_DEGREES |FACET_DEGREES]]()''**|[[.:polytope|polytope]]|method of Cone|Combinatorics|
|**''[[.:polytope:Polytope#FACET_LABELS |FACET_LABELS]]''**|[[.:polytope|polytope]]|property of Polytope|Visualization|
|**''[[.:polytope:Cone#FACET_LABELS |FACET_LABELS]]''**|[[.:polytope|polytope]]|property of Cone|Visualization|
|**''[[.:tropical:Cycle#facet_normal |facet_normal]]([[.:common#Int |Int]] i, [[.:common#Int |Int]] j)''**|[[.:tropical|tropical]]|method of Cycle|Combinatorics|
|**''[[.:fan:PolyhedralFan#FACET_NORMALS |FACET_NORMALS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Geometry|
|**''[[.:group:Group#FACET_NORMALS_ACTION |FACET_NORMALS_ACTION]]''**|[[.:group|group]]|property of Group|Symmetry|
|**''[[.:tropical:Cycle#FACET_NORMALS_BY_PAIRS |FACET_NORMALS_BY_PAIRS]]''**|[[.:tropical|tropical]]|property of Cycle|Combinatorics|
|**''[[.:polytope:SchlegelDiagram#FACET_POINT |FACET_POINT]]''**|[[.:polytope|polytope]]|property of SchlegelDiagram|no category|
|**''[[.:polytope:Polytope#FACET_POINT_LATTICE_DISTANCES |FACET_POINT_LATTICE_DISTANCES]]([[.:common#Vector |Vector]]<[[.:common#Rational |Rational]]> v)''**|[[.:polytope|polytope]]|method of Polytope|Lattice points in cones|
|**''[[.:polytope:Cone#FACET_SIZES |FACET_SIZES]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:polytope#facet_to_infinity |facet_to_infinity]]([[.:polytope:Polytope |Polytope]] P, [[.:common#Int |Int]] i)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:polytope:Cone#FACET_TRIANGULATIONS |FACET_TRIANGULATIONS]]''**|[[.:polytope|polytope]]|property of Cone|no category|
|**''[[.:polytope:PointConfiguration#FACET_TRIANGULATIONS |FACET_TRIANGULATIONS]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Triangulation and volume|
|**''[[.:polytope:Polytope#FACET_VERTEX_LATTICE_DISTANCES |FACET_VERTEX_LATTICE_DISTANCES]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in cones|
|**''[[.:polytope:Polytope#FACET_WIDTH |FACET_WIDTH]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in cones|
|**''[[.:polytope:Polytope#FACET_WIDTHS |FACET_WIDTHS]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in cones|
|**''[[.:common#FacetList |FacetList]]''**|[[.:common|common]]|Property_types|Set Types|
|**''[[.:topaz:SimplicialComplex#FACETS |FACETS]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Combinatorics|
|**''[[.:polytope:Cone#FACETS |FACETS]]''**|[[.:polytope|polytope]]|property of Cone|Geometry|
|**''[[.:group:Group#FACETS_ACTION |FACETS_ACTION]]''**|[[.:group|group]]|property of Group|Symmetry|
|**''[[.:group:Action#FACETS_GENERATORS |FACETS_GENERATORS]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:polytope:Cone#FACETS_THRU_INPUT_RAYS |FACETS_THRU_INPUT_RAYS]]''**|[[.:polytope|polytope]]|property of Cone|Geometry|
|**''[[.:polytope:Polytope#FACETS_THRU_POINTS |FACETS_THRU_POINTS]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope:Cone#FACETS_THRU_RAYS |FACETS_THRU_RAYS]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:polytope:Polytope#FACETS_THRU_VERTICES |FACETS_THRU_VERTICES]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:fan:PolyhedralFan#FAN_AMBIENT_DIM |FAN_AMBIENT_DIM]]''**|[[.:fan|fan]]|property of PolyhedralFan|Geometry|
|**''[[.:tropical#fan_decomposition |fan_decomposition]]([[.:tropical:Cycle |Cycle]]<Addition> C)''**|[[.:tropical|tropical]]|Functions|Basic polyhedral operations|
|**''[[.:fan:PolyhedralFan#FAN_DIM |FAN_DIM]]''**|[[.:fan|fan]]|property of PolyhedralFan|Geometry|
|**''[[.:fulton:NormalToricVariety#FANO |FANO]]''**|[[.:fulton|fulton]]|property of NormalToricVariety|Algebraic Geometry|
|**''[[.:matroid#fano_matroid |fano_matroid]]()''**|[[.:matroid|matroid]]|Functions|Producing a matroid from scratch|
|**''[[.:polytope#fano_simplex |fano_simplex]]([[.:common#Int |Int]] d)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:polytope:Polytope#FAR_FACE |FAR_FACE]]''**|[[.:polytope|polytope]]|property of Polytope|Unbounded polyhedra|
|**''[[.:polytope:Polytope#FAR_HYPERPLANE |FAR_HYPERPLANE]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope:PointConfiguration#FAR_POINTS |FAR_POINTS]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Geometry|
|**''[[.:tropical:Polytope#FAR_PSEUDOVERTICES |FAR_PSEUDOVERTICES]]''**|[[.:tropical|tropical]]|property of Polytope|Geometry|
|**''[[.:fan:PolyhedralComplex#FAR_VERTICES |FAR_VERTICES]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Geometry|
|**''[[.:polytope:Polytope#FATNESS |FATNESS]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:tropical:Polytope#FEASIBLE |FEASIBLE]]''**|[[.:tropical|tropical]]|property of Polytope|Geometry|
|**''[[.:polytope:Polytope#FEASIBLE |FEASIBLE]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope#fiber_polytope |fiber_polytope]]([[.:polytope:PointConfiguration |PointConfiguration]] pc, [[.:polytope:PointConfiguration |PointConfiguration]] pc)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope#fiber_polytope |fiber_polytope]]([[.:polytope:PointConfiguration |PointConfiguration]] pc, [[.:polytope:Polytope |Polytope]] pc)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope#fiber_polytope |fiber_polytope]]([[.:polytope:PointConfiguration |PointConfiguration]] P, [[.:common#Matrix |Matrix]] pi)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:common#fibonacci |fibonacci]]([[.:common#Int |Int]] m)''**|[[.:common|common]]|Functions|Utilities|
|**''[[.:topaz#Filtration |Filtration]]<MatrixType>''**|[[.:topaz|topaz]]|Property_types|Topology|
|**''[[.:common#EdgeHashMap |find]]([[.:common#Int |Int]] from, [[.:common#Int |Int]] to)''**|[[.:common|common]]|method of EdgeHashMap|no category|
|**''[[.:common#FacetList |find]]([[.:common#Set |Set]] f)''**|[[.:common|common]]|method of FacetList|no category|
|**''[[.:topaz#find_facet_vertex_permutations |find_facet_vertex_permutations]]([[.:topaz:SimplicialComplex |SimplicialComplex]] complex1, [[.:topaz:SimplicialComplex |SimplicialComplex]] complex2)''**|[[.:topaz|topaz]]|Functions|Comparing|
|**''[[.:polytope#find_facet_vertex_permutations |find_facet_vertex_permutations]]([[.:polytope:Cone |Cone]] P1, [[.:polytope:Cone |Cone]] P2)''**|[[.:polytope|polytope]]|Functions|Comparing|
|**''[[.:graph#find_lattice_permutation |find_lattice_permutation]]([[.:graph:Lattice |Lattice]] L1, [[.:graph:Lattice |Lattice]] L2, Permutation permutation)''**|[[.:graph|graph]]|Functions|Combinatorics|
|**''[[.:graph#find_node_permutation |find_node_permutation]]([[.:common#Graph |Graph]] graph1, [[.:common#Graph |Graph]] graph2)''**|[[.:graph|graph]]|Functions|Comparing|
|**''[[.:common#find_permutation |find_permutation]]([[.:common#Array |Array]] a, [[.:common#Array |Array]] b)''**|[[.:common|common]]|Functions|Combinatorics|
|**''[[.:graph#find_row_col_permutation |find_row_col_permutation]]([[.:common#IncidenceMatrix |IncidenceMatrix]]<[[.:common#NonSymmetric |NonSymmetric]]> m1, [[.:common#IncidenceMatrix |IncidenceMatrix]]<[[.:common#NonSymmetric |NonSymmetric]]> m2)''**|[[.:graph|graph]]|Functions|Comparing|
|**''[[.:polytope#find_transitive_lp_sol |find_transitive_lp_sol]]([[.:common#Matrix |Matrix]] Inequalities)''**|[[.:polytope|polytope]]|Functions|Optimization|
|**''[[.:common#FacetList |findSubsets]]([[.:common#Set |Set]] s)''**|[[.:common|common]]|method of FacetList|no category|
|**''[[.:common#FacetList |findSupersets]]([[.:common#Set |Set]] s)''**|[[.:common|common]]|method of FacetList|no category|
|**''[[.:polytope:Cone#FLAG_VECTOR |FLAG_VECTOR]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:fan:Visual_PlanarNet#FLAPS |FLAPS]]()''**|[[.:fan|fan]]|method of Visual::PlanarNet|no category|
|**''[[.:fan:PlanarNet#FLAPS |FLAPS]]''**|[[.:fan|fan]]|property of PlanarNet|Combinatorics|
|**''[[.:common#Flexible |Flexible]]''**|[[.:common|common]]|Property_types|Visualization|
|**''[[.:fan#flip_tube |flip_tube]]([[.:graph:Graph |Graph]] G, [[.:graph:Graph |Graph]] T, [[.:common#Int |Int]] t)''**|[[.:fan|fan]]|Functions|Other|
|**''[[.:topaz:HyperbolicSurface#FLIP_WORDS |FLIP_WORDS]]''**|[[.:topaz|topaz]]|property of HyperbolicSurface|no category|
|**''[[.:common#Float |Float]]''**|[[.:common|common]]|Property_types|Basic Types|
|**''[[.:common#floor |floor]]([[.:common#Rational |Rational]] a)''**|[[.:common|common]]|Functions|Arithmetic|
|**''[[.:polytope#flow_polytope |flow_polytope]]<Scalar>([[.:graph:Graph |Graph]]<[[.:common#Directed |Directed]]> G, [[.:common#EdgeMap |EdgeMap]]<[[.:common#Directed |Directed]],Scalar> Arc_Bounds, [[.:common#Int |Int]] source, [[.:common#Int |Int]] sink)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from graphs|
|**''[[.:polytope#flow_polytope |flow_polytope]]<Scalar>([[.:graph:Graph |Graph]]<[[.:common#Directed |Directed]]> G, [[.:common#Array |Array]]<Scalar> Arc_Bounds, [[.:common#Int |Int]] source, [[.:common#Int |Int]] sink)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from graphs|
|**''[[.:topaz:SimplicialComplex#FOLDABLE |FOLDABLE]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Combinatorics|
|**''[[.:polytope:Cone#FOLDABLE_COCIRCUIT_EQUATIONS |FOLDABLE_COCIRCUIT_EQUATIONS]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:polytope#foldable_max_signature_ilp |foldable_max_signature_ilp]]([[.:common#Int |Int]] d, [[.:common#Matrix |Matrix]] points, [[.:common#Rational |Rational]] volume, [[.:common#SparseMatrix |SparseMatrix]] cocircuit_equations)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope:Polytope#FOLDABLE_MAX_SIGNATURE_UPPER_BOUND |FOLDABLE_MAX_SIGNATURE_UPPER_BOUND]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:polytope#foldable_max_signature_upper_bound |foldable_max_signature_upper_bound]]([[.:common#Int |Int]] d, [[.:common#Matrix |Matrix]] points, [[.:common#Rational |Rational]] volume, [[.:common#SparseMatrix |SparseMatrix]] cocircuit_equations)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:topaz#foldable_prism |foldable_prism]]([[.:topaz:GeometricSimplicialComplex |GeometricSimplicialComplex]] complex)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:tropical#forgetful_map |forgetful_map]]<Addition>([[.:common#Int |Int]] n, [[.:common#Set |Set]]<[[.:common#Int |Int]]> S)''**|[[.:tropical|tropical]]|Functions|Moduli of rational curves|
|**''[[.:common#SmithNormalForm |form]]()''**|[[.:common|common]]|method of SmithNormalForm|no category|
|**''[[.:core#found_application |found_application]]([[.:common#String |String]] extension, [[.:common#String |String]] app_name)''**|[[.:core|core]]|Functions|Interactive|
|**''[[.:core#found_extension |found_extension]]([[.:common#String |String]] path)''**|[[.:core|core]]|Functions|Interactive|
|**''[[.:polytope#fractional_cut_polytope |fractional_cut_polytope]]([[.:graph:Graph |Graph]] G)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from graphs|
|**''[[.:polytope#fractional_knapsack |fractional_knapsack]]([[.:common#Vector |Vector]]<[[.:common#Rational |Rational]]> b)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:polytope#fractional_matching_polytope |fractional_matching_polytope]]([[.:graph:Graph |Graph]] G)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from graphs|
|**''[[.:matroid#free_extension |free_extension]]([[.:matroid:Matroid |Matroid]] M)''**|[[.:matroid|matroid]]|Functions|Producing a matroid from matroids|
|**''[[.:polytope#free_sum |free_sum]]([[.:polytope:VectorConfiguration |VectorConfiguration]] P1, [[.:polytope:VectorConfiguration |VectorConfiguration]] P2)''**|[[.:polytope|polytope]]|Functions|Producing a vector configuration|
|**''[[.:polytope#free_sum |free_sum]]([[.:polytope:Polytope |Polytope]] P1, [[.:polytope:Polytope |Polytope]] P2)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:polytope#free_sum_decomposition |free_sum_decomposition]]([[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:polytope#free_sum_decomposition_indices |free_sum_decomposition_indices]]([[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:common#Set |front]]()''**|[[.:common|common]]|method of Set|no category|
|**''[[.:polytope:Cone#FTR_CYCLIC_NORMAL |FTR_CYCLIC_NORMAL]]''**|[[.:polytope|polytope]]|property of Cone|Visualization|
|**''[[.:polytope:Polytope#FTV_CYCLIC_NORMAL |FTV_CYCLIC_NORMAL]]''**|[[.:polytope|polytope]]|property of Polytope|Visualization|
|**''[[.:fan:PolyhedralFan#FULL_DIM |FULL_DIM]]''**|[[.:fan|fan]]|property of PolyhedralFan|Geometry|
|**''[[.:fan:SubdivisionOfVectors#FULL_DIM |FULL_DIM]]''**|[[.:fan|fan]]|property of SubdivisionOfVectors|Geometry|
|**''[[.:polytope:VectorConfiguration#FULL_DIM |FULL_DIM]]''**|[[.:polytope|polytope]]|property of VectorConfiguration|Geometry|
|**''[[.:polytope:Cone#FULL_DIM |FULL_DIM]]''**|[[.:polytope|polytope]]|property of Cone|Geometry|
|**''[[.:topaz:SimplicialComplex#fundamental2gap |fundamental2gap]]([[.:common#String |String]] filename)''**|[[.:topaz|topaz]]|method of SimplicialComplex|Topology|
|**''[[.:topaz:SimplicialComplex#FUNDAMENTAL_GROUP |FUNDAMENTAL_GROUP]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Topology|
|**''[[.:topaz:SimplicialComplex#FUNDAMENTAL_GROUP_GEN_LABELS |FUNDAMENTAL_GROUP_GEN_LABELS]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Topology|
|**''[[.:common#ExtGCD |g]]()''**|[[.:common|common]]|method of ExtGCD|no category|
|**''[[.:topaz:GeometricSimplicialComplex#G_DIM |G_DIM]]''**|[[.:topaz|topaz]]|property of GeometricSimplicialComplex|no category|
|**''[[.:matroid:Matroid#G_INVARIANT |G_INVARIANT]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:polytope:Polytope#G_VECTOR |G_VECTOR]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:polytope:Polytope#GALE |GALE]]()''**|[[.:polytope|polytope]]|method of Polytope|Visualization|
|**''[[.:polytope:VectorConfiguration#GALE_TRANSFORM |GALE_TRANSFORM]]''**|[[.:polytope|polytope]]|property of VectorConfiguration|Geometry|
|**''[[.:polytope:Polytope#GALE_TRANSFORM |GALE_TRANSFORM]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope:Polytope#GALE_VERTICES |GALE_VERTICES]]''**|[[.:polytope|polytope]]|property of Polytope|Visualization|
|**''[[.:polytope#gc_closure |gc_closure]]([[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:common#gcd |gcd]]([[.:common#Int |Int]] a, [[.:common#Int |Int]] b)''**|[[.:common|common]]|Functions|Arithmetic|
|**''[[.:common#gcd |gcd]]([[.:common#Vector |Vector]]<//Scalar//> v)''**|[[.:common|common]]|Functions|Arithmetic|
|**''[[.:common#gcd |gcd]]([[.:common#UniPolynomial |UniPolynomial]] p, [[.:common#UniPolynomial |UniPolynomial]] q)''**|[[.:common|common]]|Functions|Arithmetic|
|**''[[.:graph#generalized_johnson_graph |generalized_johnson_graph]]([[.:common#Int |Int]] n, [[.:common#Int |Int]] k, [[.:common#Int |Int]] i)''**|[[.:graph|graph]]|Functions|Producing a graph|
|**''[[.:fan#generating_polyhedron_facets |generating_polyhedron_facets]]([[.:fan:PolyhedralFan |PolyhedralFan]] P)''**|[[.:fan|fan]]|Functions|Geometry|
|**''[[.:fulton:NormalToricVariety#GENERATING_POLYTOPE |GENERATING_POLYTOPE]]''**|[[.:fulton|fulton]]|property of NormalToricVariety|Basic properties|
|**''[[.:ideal:Ideal#GENERATORS |GENERATORS]]''**|[[.:ideal|ideal]]|property of Ideal|Input properties|
|**''[[.:group:Action#GENERATORS |GENERATORS]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:topaz:SimplicialComplex#GENUS |GENUS]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Topology|
|**''[[.:tropical:Hypersurface#GENUS |GENUS]]''**|[[.:tropical|tropical]]|method of Hypersurface|Topology|
|**''[[.:graph:GeometricGraph#GeometricGraph |GeometricGraph]]<Scalar>''**|[[.:graph|graph]]|Objects|Combinatorics|
|**''[[.:topaz:GeometricSimplicialComplex#GeometricSimplicialComplex |GeometricSimplicialComplex]]<Scalar>''**|[[.:topaz|topaz]]|Objects|no category|
|**''[[.:common#geomview |geomview]]([[.:common:Visual_Object |Visual::Object]] vis_obj ...)''**|[[.:common|common]]|Functions|Visualization|
|**''[[.:core:Core_Object#get_attachment |get_attachment]]([[.:common#String |String]] name)''**|[[.:core|core]]|method of Core::Object|no category|
|**''[[.:graph#InverseRankMap |get_map]]()''**|[[.:graph|graph]]|method of InverseRankMap|Combinatorics|
|**''[[.:core:Core_Object#get_schedule |get_schedule]]([[.:common#String |String]] request)''**|[[.:core|core]]|method of Core::Object|no category|
|**''[[.:common#UniPolynomial |get_var_names]]''**|[[.:common|common]]|method of UniPolynomial|no category|
|**''[[.:common#Polynomial |get_var_names]]''**|[[.:common|common]]|method of Polynomial|no category|
|**''[[.:common#get_var_names |get_var_names]]()''**|[[.:common|common]]|Functions|Arithmetic|
|**''[[.:fan#gfan_secondary_fan |gfan_secondary_fan]]([[.:common#Matrix |Matrix]] M)''**|[[.:fan|fan]]|Functions|Producing a fan|
|**''[[.:fan#gfan_secondary_fan |gfan_secondary_fan]]([[.:polytope:PointConfiguration |PointConfiguration]] P)''**|[[.:fan|fan]]|Functions|Producing a fan|
|**''[[.:tropical#gfan_tropicalbruteforce |gfan_tropicalbruteforce]]([[.:ideal:Ideal |Ideal]] I)''**|[[.:tropical|tropical]]|Functions|gfan|
|**''[[.:tropical#gfan_tropicalhypersurface |gfan_tropicalhypersurface]]([[.:common#Polynomial |Polynomial]]<[[.:common#Rational |Rational]]> p)''**|[[.:tropical|tropical]]|Functions|gfan|
|**''[[.:tropical#gfan_tropicalintersection |gfan_tropicalintersection]]([[.:ideal:Ideal |Ideal]] I)''**|[[.:tropical|tropical]]|Functions|gfan|
|**''[[.:tropical#gfan_tropicalvariety_of_prime |gfan_tropicalvariety_of_prime]]([[.:ideal:Ideal |Ideal]] I)''**|[[.:tropical|tropical]]|Functions|gfan|
|**''[[.:topaz:HyperbolicSurface#gkz_dome |gkz_dome]]([[.:common#Int |Int]] k, [[.:common#Int |Int]] depth)''**|[[.:topaz|topaz]]|method of HyperbolicSurface|Other|
|**''[[.:polytope:Polytope#GKZ_VECTOR |GKZ_VECTOR]]''**|[[.:polytope|polytope]]|property of Polytope|Triangulation and volume|
|**''[[.:polytope:PointConfiguration#GKZ_VECTOR |GKZ_VECTOR]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Triangulation and volume|
|**''[[.:topaz:HyperbolicSurface#GKZ_VECTORS |GKZ_VECTORS]]([[.:common#Int |Int]] depth)''**|[[.:topaz|topaz]]|method of HyperbolicSurface|Other|
|**''[[.:polytope#goldfarb |goldfarb]]([[.:common#Int |Int]] d, Scalar e, Scalar g)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:polytope#goldfarb_sit |goldfarb_sit]]([[.:common#Int |Int]] d, Scalar eps, Scalar delta)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:fan:PolyhedralFan#GORENSTEIN |GORENSTEIN]]''**|[[.:fan|fan]]|property of PolyhedralFan|Toric Varieties|
|**''[[.:polytope:Polytope#GORENSTEIN |GORENSTEIN]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in cones|
|**''[[.:polytope:Cone#GORENSTEIN_CONE |GORENSTEIN_CONE]]''**|[[.:polytope|polytope]]|property of Cone|Lattice points in cones|
|**''[[.:polytope:Polytope#GORENSTEIN_INDEX |GORENSTEIN_INDEX]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in cones|
|**''[[.:polytope:Polytope#GORENSTEIN_VECTOR |GORENSTEIN_VECTOR]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in cones|
|**''[[.:fan:PolyhedralFan#GRAPH |GRAPH]]''**|[[.:fan|fan]]|property of PolyhedralFan|Combinatorics|
|**''[[.:topaz:SimplicialComplex#GRAPH |GRAPH]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Combinatorics|
|**''[[.:common#Graph |Graph]]<Dir>''**|[[.:common|common]]|Property_types|Graph Types|
|**''[[.:graph:Graph#Graph |Graph]]<Dir>''**|[[.:graph|graph]]|Objects|Combinatorics|
|**''[[.:tropical:RationalCurve#GRAPH |GRAPH]]''**|[[.:tropical|tropical]]|property of RationalCurve|Combinatorics|
|**''[[.:polytope:Polytope#GRAPH |GRAPH]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:polytope:Polytope#GRAPH |GRAPH]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:polytope:Cone#GRAPH |GRAPH]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:polytope:PointConfiguration#GRAPH |GRAPH]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Combinatorics|
|**''[[.:fan#graph_associahedron_fan |graph_associahedron_fan]]([[.:graph:Graph |Graph]] G)''**|[[.:fan|fan]]|Functions|Producing a fan|
|**''[[.:tropical:RationalCurve#GRAPH_EDGE_LENGTHS |GRAPH_EDGE_LENGTHS]]''**|[[.:tropical|tropical]]|property of RationalCurve|Combinatorics|
|**''[[.:graph#graph_from_cycles |graph_from_cycles]]''**|[[.:graph|graph]]|Functions|no category|
|**''[[.:graph#graph_from_edges |graph_from_edges]]([[.:common#Array |Array]]<[[.:common#Set |Set]]<[[.:common#Int |Int]]%%>>%% edges)''**|[[.:graph|graph]]|Functions|Other|
|**''[[.:graph#graph_homomorphisms |graph_homomorphisms]]([[.:graph:Graph |Graph]] G, [[.:graph:Graph |Graph]] H)''**|[[.:graph|graph]]|Functions|Combinatorics|
|**''[[.:topaz:SimplicialComplex#GRAPH_SIGNATURE |GRAPH_SIGNATURE]]()''**|[[.:topaz|topaz]]|method of SimplicialComplex|Combinatorics|
|**''[[.:polytope:Cone#GRAPH_SIGNATURE |GRAPH_SIGNATURE]]()''**|[[.:polytope|polytope]]|method of Cone|Topology|
|**''[[.:common#GraphMap |GraphMap]]<Dir, Element>''**|[[.:common|common]]|Property_types|Graph Types|
|**''[[.:graph#graphviz |graphviz]]([[.:common:Visual_Object |Visual::Object]] vis_obj ...)''**|[[.:graph|graph]]|Functions|Visualization|
|**''[[.:ideal:Groebner#Groebner |Groebner]]''**|[[.:ideal|ideal]]|Objects|no category|
|**''[[.:ideal:Ideal#GROEBNER |GROEBNER]]''**|[[.:ideal|ideal]]|property of Ideal|Commutative algebra|
|**''[[.:polytope:Polytope#GROEBNER_BASIS |GROEBNER_BASIS]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in cones|
|**''[[.:fan#groebner_fan |groebner_fan]]([[.:ideal:Ideal |Ideal]] I)''**|[[.:fan|fan]]|Functions|Producing a fan|
|**''[[.:polytope:GroebnerBasis#GroebnerBasis |GroebnerBasis]]''**|[[.:polytope|polytope]]|Objects|Lattice points in cones|
|**''[[.:fan:PolyhedralFan#GROUP |GROUP]]''**|[[.:fan|fan]]|property of PolyhedralFan|Symmetry|
|**''[[.:fan:PolyhedralComplex#GROUP |GROUP]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:topaz:SimplicialComplex#GROUP |GROUP]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Symmetry|
|**''[[.:group:Group#Group |Group]]''**|[[.:group|group]]|Objects|no category|
|**''[[.:polytope:VectorConfiguration#GROUP |GROUP]]''**|[[.:polytope|polytope]]|property of VectorConfiguration|Symmetry|
|**''[[.:polytope:Polytope#GROUP |GROUP]]''**|[[.:polytope|polytope]]|property of Polytope|Symmetry|
|**''[[.:polytope:Cone#GROUP |GROUP]]''**|[[.:polytope|polytope]]|property of Cone|Symmetry|
|**''[[.:polytope:PointConfiguration#GROUP |GROUP]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Symmetry|
|**''[[.:group#group_from_cyclic_notation0 |group_from_cyclic_notation0]]([[.:common#String |String]] generators)''**|[[.:group|group]]|Functions|Producing a group|
|**''[[.:group#group_from_cyclic_notation1 |group_from_cyclic_notation1]]([[.:common#String |String]] generators)''**|[[.:group|group]]|Functions|Producing a group|
|**''[[.:group#group_from_permlib_cyclic_notation |group_from_permlib_cyclic_notation]]([[.:common#Array |Array]]<[[.:common#String |String]]> gens, [[.:common#Int |Int]] degree)''**|[[.:group|group]]|Functions|Producing a group|
|**''[[.:group#group_left_multiplication_table |group_left_multiplication_table]]([[.:group:Group |Group]] G)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:group#group_right_multiplication_table |group_right_multiplication_table]]([[.:group:Group |Group]] G)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:tropical#gudkov_curve |gudkov_curve]]()''**|[[.:tropical|tropical]]|Functions|no category|
|**''[[.:topaz#h_induced_quotient |h_induced_quotient]]([[.:topaz:SimplicialComplex |SimplicialComplex]] C, [[.:common#Set |Set]]<[[.:common#Int |Int]]> vertices)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:polytope:Cone#H_STAR_VECTOR |H_STAR_VECTOR]]''**|[[.:polytope|polytope]]|property of Cone|Lattice points in cones|
|**''[[.:topaz:SimplicialComplex#H_VECTOR |H_VECTOR]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Combinatorics|
|**''[[.:matroid:Matroid#H_VECTOR |H_VECTOR]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:polytope:Polytope#H_VECTOR |H_VECTOR]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:common#hadamard_product |hadamard_product]]([[.:common#Matrix |Matrix]] M1, [[.:common#Matrix |Matrix]] M2)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:tropical#halfspace_subdivision |halfspace_subdivision]]<Addition>([[.:common#Rational |Rational]] a, [[.:common#Vector |Vector]]<[[.:common#Rational |Rational]]> g, [[.:common#Integer |Integer]] w)''**|[[.:tropical|tropical]]|Functions|Creation functions for specific cycles|
|**''[[.:tropical#harnack_curve |harnack_curve]]([[.:common#Int |Int]] d)''**|[[.:tropical|tropical]]|Functions|no category|
|**''[[.:common#Graph |has_gaps]]()''**|[[.:common|common]]|method of Graph|no category|
|**''[[.:common#HashMap |HashMap]]<Key, Value>''**|[[.:common|common]]|Property_types|Set Types|
|**''[[.:common#HashSet |HashSet]]<Element>''**|[[.:common|common]]|Property_types|Set Types|
|**''[[.:fan:PolyhedralFan#HASSE_DIAGRAM |HASSE_DIAGRAM]]''**|[[.:fan|fan]]|property of PolyhedralFan|Combinatorics|
|**''[[.:topaz:SimplicialComplex#HASSE_DIAGRAM |HASSE_DIAGRAM]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Combinatorics|
|**''[[.:polytope:Polytope#HASSE_DIAGRAM |HASSE_DIAGRAM]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:polytope:Cone#HASSE_DIAGRAM |HASSE_DIAGRAM]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:graph#hd_embedder |hd_embedder]]([[.:common#Array |Array]] label_width)''**|[[.:graph|graph]]|Functions|Visualization|
|**''[[.:core#help |help]]([[.:common#String |String]] item)''**|[[.:core|core]]|Functions|Interactive|
|**''[[.:common#hermite_normal_form |hermite_normal_form]]([[.:common#Matrix |Matrix]] M)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:common#HermiteNormalForm |HermiteNormalForm]]<Scalar>''**|[[.:common|common]]|Property_types|Linear Algebra|
|**''[[.:matroid#higgs_lift |higgs_lift]]([[.:matroid:Matroid |Matroid]] M)''**|[[.:matroid|matroid]]|Functions|Producing a matroid from matroids|
|**''[[.:polytope:Cone#HILBERT_BASIS |HILBERT_BASIS]]()''**|[[.:polytope|polytope]]|method of Cone|Lattice points in cones|
|**''[[.:polytope:Cone#HILBERT_BASIS_GENERATORS |HILBERT_BASIS_GENERATORS]]''**|[[.:polytope|polytope]]|property of Cone|Lattice points in cones|
|**''[[.:ideal:Ideal#HILBERT_POLYNOMIAL |HILBERT_POLYNOMIAL]]''**|[[.:ideal|ideal]]|property of Ideal|Commutative algebra|
|**''[[.:polytope:Cone#HILBERT_SERIES |HILBERT_SERIES]]''**|[[.:polytope|polytope]]|property of Cone|Lattice points in cones|
|**''[[.:fulton#hirzebruch_surface |hirzebruch_surface]]([[.:common#Integer |Integer]] r)''**|[[.:fulton|fulton]]|Functions|Producing a normal toric variety|
|**''[[.:common#histogram |histogram]](ARRAY data)''**|[[.:common|common]]|Functions|Utilities|
|**''[[.:core#history |history]]''**|[[.:core|core]]|Functions|Interactive|
|**''[[.:common#HermiteNormalForm |hnf]]()''**|[[.:common|common]]|method of HermiteNormalForm|no category|
|**''[[.:topaz#hom_poset |hom_poset]]([[.:graph:Graph |Graph]]<[[.:common#Directed |Directed]]> P, [[.:graph:Graph |Graph]]<[[.:common#Directed |Directed]]> Q)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:topaz#hom_poset |hom_poset]]([[.:common#Array |Array]]<[[.:common#Array |Array]]<[[.:common#Int |Int]]%%>>%% homs, [[.:graph:Graph |Graph]]<[[.:common#Directed |Directed]]> Q)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:ideal:Ideal#HOMOGENEOUS |HOMOGENEOUS]]''**|[[.:ideal|ideal]]|property of Ideal|Commutative algebra|
|**''[[.:polytope:Cone#HOMOGENEOUS |HOMOGENEOUS]]''**|[[.:polytope|polytope]]|property of Cone|Lattice points in cones|
|**''[[.:group:Group#HOMOGENEOUS_COORDINATE_ACTION |HOMOGENEOUS_COORDINATE_ACTION]]''**|[[.:group|group]]|property of Group|Symmetry|
|**''[[.:fan:PolyhedralFan#HOMOLOGY |HOMOLOGY]]''**|[[.:fan|fan]]|property of PolyhedralFan|Topology|
|**''[[.:topaz:SimplicialComplex#HOMOLOGY |HOMOLOGY]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Topology|
|**''[[.:topaz#homology |homology]]([[.:common#Array |Array]]<[[.:common#Set |Set]]<[[.:common#Int |Int]]%%>>%% complex, [[.:common#Bool |Bool]] co)''**|[[.:topaz|topaz]]|Functions|Topology|
|**''[[.:topaz#homology |homology]]([[.:topaz#ChainComplex |ChainComplex]] CC, [[.:common#Bool |Bool]] co)''**|[[.:topaz|topaz]]|Functions|Topology|
|**''[[.:topaz#homology_and_cycles |homology_and_cycles]]([[.:common#Array |Array]]<[[.:common#Set |Set]]<[[.:common#Int |Int]]%%>>%% complex, [[.:common#Bool |Bool]] co)''**|[[.:topaz|topaz]]|Functions|Topology|
|**''[[.:topaz#homology_and_cycles |homology_and_cycles]]([[.:topaz#ChainComplex |ChainComplex]]<[[.:common#SparseMatrix |SparseMatrix]]<[[.:common#Integer |Integer]]%%>>%% CC, [[.:common#Bool |Bool]] co)''**|[[.:topaz|topaz]]|Functions|Topology|
|**''[[.:topaz#homology_flint |homology_flint]]([[.:common#Array |Array]]<[[.:common#Set |Set]]<[[.:common#Int |Int]]%%>>%% complex, [[.:common#Bool |Bool]] co)''**|[[.:topaz|topaz]]|Functions|Topology|
|**''[[.:topaz#homology_flint |homology_flint]]([[.:topaz#ChainComplex |ChainComplex]] CC, [[.:common#Bool |Bool]] co)''**|[[.:topaz|topaz]]|Functions|Topology|
|**''[[.:topaz#HomologyGroup |HomologyGroup]]<Scalar>''**|[[.:topaz|topaz]]|Property_types|Topology|
|**''[[.:common#householder_trafo |householder_trafo]]([[.:common#Vector |Vector]]<[[.:common#Float |Float]]> b)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:common#HSV |HSV]]''**|[[.:common|common]]|Property_types|Visualization|
|**''[[.:tropical#hurwitz_cycle |hurwitz_cycle]]<Addition>([[.:common#Int |Int]] k, [[.:common#Vector |Vector]]<[[.:common#Int |Int]]> degree, [[.:common#Vector |Vector]]<[[.:common#Rational |Rational]]> points)''**|[[.:tropical|tropical]]|Functions|Hurwitz cycles|
|**''[[.:tropical#hurwitz_marked_cycle |hurwitz_marked_cycle]]<Addition>([[.:common#Int |Int]] k, [[.:common#Vector |Vector]]<[[.:common#Int |Int]]> degree, [[.:common#Vector |Vector]]<[[.:common#Rational |Rational]]> pullback_points)''**|[[.:tropical|tropical]]|Functions|Hurwitz cycles|
|**''[[.:tropical#hurwitz_pair |hurwitz_pair]]<Addition>([[.:common#Int |Int]] k, [[.:common#Vector |Vector]]<[[.:common#Int |Int]]> degree, [[.:common#Vector |Vector]]<[[.:common#Rational |Rational]]> points)''**|[[.:tropical|tropical]]|Functions|Hurwitz cycles|
|**''[[.:tropical#hurwitz_pair_local |hurwitz_pair_local]]<Addition>([[.:common#Int |Int]] k, [[.:common#Vector |Vector]]<[[.:common#Int |Int]]> degree, [[.:tropical:RationalCurve |RationalCurve]] local_curve)''**|[[.:tropical|tropical]]|Functions|Hurwitz cycles|
|**''[[.:tropical#hurwitz_subdivision |hurwitz_subdivision]]<Addition>([[.:common#Int |Int]] k, [[.:common#Vector |Vector]]<[[.:common#Int |Int]]> degree, [[.:common#Vector |Vector]]<[[.:common#Rational |Rational]]> points)''**|[[.:tropical|tropical]]|Functions|Hurwitz cycles|
|**''[[.:topaz:HyperbolicSurface#HyperbolicSurface |HyperbolicSurface]]''**|[[.:topaz|topaz]]|Objects|no category|
|**''[[.:tropical#hyperplane |hyperplane]]<Addition>([[.:common#Vector |Vector]]<[[.:common#TropicalNumber |TropicalNumber]]<Addition%%>>%% coeffs)''**|[[.:tropical|tropical]]|Functions|Producing a tropical hypersurface|
|**''[[.:fan#hyperplane_arrangement |hyperplane_arrangement]]([[.:common#Matrix |Matrix]] H)''**|[[.:fan|fan]]|Functions|Producing a fan|
|**''[[.:fan:HyperplaneArrangement#HyperplaneArrangement |HyperplaneArrangement]]<Scalar>''**|[[.:fan|fan]]|Objects|Geometry|
|**''[[.:fan:HyperplaneArrangement#HYPERPLANES |HYPERPLANES]]''**|[[.:fan|fan]]|property of HyperplaneArrangement|Geometry|
|**''[[.:tropical#hypersimplex |hypersimplex]]<Addition>([[.:common#Int |Int]] d, [[.:common#Int |Int]] k)''**|[[.:tropical|tropical]]|Functions|Producing a tropical polytope|
|**''[[.:polytope#hypersimplex |hypersimplex]]([[.:common#Int |Int]] k, [[.:common#Int |Int]] d)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:tropical:Hypersurface#Hypersurface |Hypersurface]]<Addition>''**|[[.:tropical|tropical]]|Objects|no category|
|**''[[.:polytope#hypertruncated_cube |hypertruncated_cube]]<Scalar>([[.:common#Int |Int]] d, Scalar k, Scalar lambda)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:polytope#icosahedron |icosahedron]]()''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:polytope#icosidodecahedron |icosidodecahedron]]()''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:ideal:Ideal#Ideal |Ideal]]''**|[[.:ideal|ideal]]|Objects|no category|
|**''[[.:matroid:Matroid#IDENTICALLY_SELF_DUAL |IDENTICALLY_SELF_DUAL]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:polytope:QuotientSpace#IDENTIFICATION_ACTION |IDENTIFICATION_ACTION]]''**|[[.:polytope|polytope]]|property of QuotientSpace|Basic properties|
|**''[[.:group:Action#IMAGES |IMAGES]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:group#implicit_character |implicit_character]]([[.:group:ImplicitActionOnSets |ImplicitActionOnSets]] A)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:group:Group#IMPLICIT_SET_ACTION |IMPLICIT_SET_ACTION]]''**|[[.:group|group]]|property of Group|Symmetry|
|**''[[.:group:ImplicitActionOnSets#ImplicitActionOnSets |ImplicitActionOnSets]]''**|[[.:group|group]]|Objects|no category|
|**''[[.:core#import_extension |import_extension]]([[.:common#String |String]] path, [[.:common#List |List]] options)''**|[[.:core|core]]|Functions|Interactive|
|**''[[.:common#Graph |in_adjacent_nodes]]([[.:common#Int |Int]] node)''**|[[.:common|common]]|method of Graph|no category|
|**''[[.:common#Graph |in_degree]]([[.:common#Int |Int]] node)''**|[[.:common|common]]|method of Graph|no category|
|**''[[.:common#Graph |in_edges]]([[.:common#Int |Int]] node)''**|[[.:common|common]]|method of Graph|no category|
|**''[[.:graph#incidence_matrix |incidence_matrix]]([[.:graph:Graph |Graph]] G)''**|[[.:graph|graph]]|Functions|Combinatorics|
|**''[[.:graph#incidence_matrix |incidence_matrix]]([[.:common#Graph |Graph]] G)''**|[[.:graph|graph]]|Functions|Combinatorics|
|**''[[.:common#IncidenceMatrix |IncidenceMatrix]]<Sym>''**|[[.:common|common]]|Property_types|Set Types|
|**''[[.:common#incl |incl]]([[.:common#Set |Set]] s1, [[.:common#Set |Set]] s2)''**|[[.:common|common]]|Functions|Set Operations|
|**''[[.:core#include |include]]([[.:common#String |String]] rulefile)''**|[[.:core|core]]|Functions|Basic|
|**''[[.:polytope#included_polyhedra |included_polyhedra]]([[.:polytope:Polytope |Polytope]] P1, [[.:polytope:Polytope |Polytope]] P2)''**|[[.:polytope|polytope]]|Functions|Comparing|
|**''[[.:topaz#independence_complex |independence_complex]]([[.:matroid:Matroid |Matroid]] matroid)''**|[[.:topaz|topaz]]|Functions|Producing a simplicial complex from other objects|
|**''[[.:common#index_matrix |index_matrix]]([[.:common#SparseMatrix |SparseMatrix]] m)''**|[[.:common|common]]|Functions|Data Conversion|
|**''[[.:common#index_of |index_of]]([[.:common#Array |Array]]<[[.:common#Set |Set]]<[[.:common#Int |Int]]%%>>%% array)''**|[[.:common|common]]|Functions|Utilities|
|**''[[.:group:Action#INDEX_OF |INDEX_OF]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:common#indices |indices]]([[.:common#SparseVector |SparseVector]] v)''**|[[.:common|common]]|Functions|Data Conversion|
|**''[[.:group#induce_implicit_action |induce_implicit_action]]([[.:group:PermutationAction |PermutationAction]] original_action, [[.:common#String |String]] property)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:group#induce_set_action |induce_set_action]]([[.:polytope:Cone |Cone]] c, [[.:group:PermutationAction |PermutationAction]] a, [[.:common#String |String]] domain)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:group#induced_action |induced_action]]([[.:group:PermutationAction |PermutationAction]] a, [[.:common#Array |Array]]<[[.:common#Set |Set]]<[[.:common#Int |Int]]%%>>%% domain)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:group:Action#INDUCED_FROM |INDUCED_FROM]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:polytope#induced_lattice_basis |induced_lattice_basis]]([[.:polytope:Polytope |Polytope]] p)''**|[[.:polytope|polytope]]|Functions|Geometry|
|**''[[.:group#induced_permutations |induced_permutations]]([[.:common#Array |Array]]<[[.:common#Array |Array]]<[[.:common#Int |Int]]%%>>%% gens, [[.:common#Matrix |Matrix]] M)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:group#induced_permutations |induced_permutations]]([[.:common#Array |Array]]<[[.:common#Matrix |Matrix]]<Scalar%%>>%% gens, [[.:common#Matrix |Matrix]] M)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:group#induced_permutations |induced_permutations]]([[.:common#Array |Array]]<[[.:common#Array |Array]]<[[.:common#Int |Int]]%%>>%% gens, [[.:common#Array |Array]]<DomainType> S)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:group#induced_permutations |induced_permutations]]([[.:common#Array |Array]]<[[.:common#Array |Array]]<[[.:common#Int |Int]]%%>>%% a, [[.:common#IncidenceMatrix |IncidenceMatrix]] M)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:group#induced_permutations_set_set |induced_permutations_set_set]]([[.:common#Array |Array]]<[[.:common#Array |Array]]<[[.:common#Int |Int]]%%>>%% gens, [[.:common#Array |Array]]<[[.:common#Set |Set]]<[[.:common#Set |Set]]%%>>%% domain)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:group#induced_rep |induced_rep]]([[.:polytope:Cone |Cone]] C, [[.:group:PermutationActionOnSets |PermutationActionOnSets]] A, [[.:common#Array |Array]]<[[.:common#Int |Int]]> g)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:topaz#induced_subcomplex |induced_subcomplex]]([[.:topaz:SimplicialComplex |SimplicialComplex]] complex, [[.:common#Set |Set]]<[[.:common#Int |Int]]> vertices)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:fan#induced_subdivision |induced_subdivision]]<Scalar>([[.:polytope:VectorConfiguration |VectorConfiguration]]<Scalar> pc, [[.:common#Matrix |Matrix]]<Scalar> R, [[.:common#Set |Set]] I)''**|[[.:fan|fan]]|Functions|Geometry|
|**''[[.:fan#induced_subdivision |induced_subdivision]]''**|[[.:fan|fan]]|Functions|Geometry|
|**''[[.:common#induced_subgraph |induced_subgraph]]([[.:common#Graph |Graph]] graph, [[.:common#Set |Set]] set)''**|[[.:common|common]]|Functions|Graph Operations|
|**''[[.:tropical:Polytope#INEQUALITIES |INEQUALITIES]]''**|[[.:tropical|tropical]]|property of Polytope|Input property|
|**''[[.:polytope:Polytope#INEQUALITIES |INEQUALITIES]]''**|[[.:polytope|polytope]]|property of Polytope|Input property|
|**''[[.:polytope:Cone#INEQUALITIES |INEQUALITIES]]''**|[[.:polytope|polytope]]|property of Cone|Input property|
|**''[[.:group:Group#INEQUALITIES_ACTION |INEQUALITIES_ACTION]]''**|[[.:group|group]]|property of Group|Symmetry|
|**''[[.:group:Action#INEQUALITIES_GENERATORS |INEQUALITIES_GENERATORS]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:polytope:Cone#INEQUALITIES_THRU_RAYS |INEQUALITIES_THRU_RAYS]]''**|[[.:polytope|polytope]]|property of Cone|Geometry|
|**''[[.:polytope:Polytope#INEQUALITIES_THRU_VERTICES |INEQUALITIES_THRU_VERTICES]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope:Polytope#INEQUALITY_LABELS |INEQUALITY_LABELS]]''**|[[.:polytope|polytope]]|property of Polytope|Visualization|
|**''[[.:polytope:Cone#INEQUALITY_LABELS |INEQUALITY_LABELS]]''**|[[.:polytope|polytope]]|property of Cone|Visualization|
|**''[[.:common#Integer |inf]]''**|[[.:common|common]]|method of Integer|no category|
|**''[[.:common#Rational |inf]]''**|[[.:common|common]]|method of Rational|no category|
|**''[[.:common#Float |inf]]''**|[[.:common|common]]|method of Float|no category|
|**''[[.:common#Polynomial |initial_form]]([[.:common#Vector |Vector]]<Exponent> v)''**|[[.:common|common]]|method of Polynomial|no category|
|**''[[.:ideal:Groebner#INITIAL_FORMS |INITIAL_FORMS]]''**|[[.:ideal|ideal]]|property of Groebner|Commutative algebra|
|**''[[.:ideal:Groebner#INITIAL_IDEAL |INITIAL_IDEAL]]''**|[[.:ideal|ideal]]|property of Groebner|Commutative algebra|
|**''[[.:polytope#inner_cone |inner_cone]]([[.:polytope:Cone |Cone]] p, [[.:common#Set |Set]]<[[.:common#Int |Int]]> F)''**|[[.:polytope|polytope]]|Functions|Producing a cone|
|**''[[.:polytope:Polytope#INNER_DESCRIPTION |INNER_DESCRIPTION]]()''**|[[.:polytope|polytope]]|method of Polytope|Geometry|
|**''[[.:polytope:SchlegelDiagram#INNER_POINT |INNER_POINT]]''**|[[.:polytope|polytope]]|property of SchlegelDiagram|no category|
|**''[[.:polytope#inner_point |inner_point]]([[.:common#Matrix |Matrix]] points)''**|[[.:polytope|polytope]]|Functions|Optimization|
|**''[[.:tropical:RationalCurve#INPUT_COEFFS |INPUT_COEFFS]]''**|[[.:tropical|tropical]]|property of RationalCurve|Input property|
|**''[[.:fan:PolyhedralFan#INPUT_CONES |INPUT_CONES]]''**|[[.:fan|fan]]|property of PolyhedralFan|Input property|
|**''[[.:group:Group#INPUT_CONES_ACTION |INPUT_CONES_ACTION]]''**|[[.:group|group]]|property of Group|Symmetry|
|**''[[.:fan:PolyhedralFan#INPUT_CONES_REPS |INPUT_CONES_REPS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Input property|
|**''[[.:topaz:SimplicialComplex#INPUT_FACES |INPUT_FACES]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Input property|
|**''[[.:fan:HyperplaneArrangement#INPUT_HYPERPLANES |INPUT_HYPERPLANES]]''**|[[.:fan|fan]]|property of HyperplaneArrangement|Input property|
|**''[[.:fan:PolyhedralFan#INPUT_LINEALITY |INPUT_LINEALITY]]''**|[[.:fan|fan]]|property of PolyhedralFan|Input property|
|**''[[.:polytope:Cone#INPUT_LINEALITY |INPUT_LINEALITY]]''**|[[.:polytope|polytope]]|property of Cone|Input property|
|**''[[.:group:Action#INPUT_LINEALITY_GENERATORS |INPUT_LINEALITY_GENERATORS]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:fan:PolyhedralComplex#INPUT_POLYTOPES |INPUT_POLYTOPES]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Input property|
|**''[[.:fan:PolyhedralComplex#INPUT_POLYTOPES_ACTION |INPUT_POLYTOPES_ACTION]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:fan:PolyhedralComplex#INPUT_POLYTOPES_REPS |INPUT_POLYTOPES_REPS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:fan:PolyhedralFan#INPUT_RAY_LABELS |INPUT_RAY_LABELS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Visualization|
|**''[[.:polytope:Cone#INPUT_RAY_LABELS |INPUT_RAY_LABELS]]''**|[[.:polytope|polytope]]|property of Cone|Visualization|
|**''[[.:fan:PolyhedralFan#INPUT_RAYS |INPUT_RAYS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Input property|
|**''[[.:polytope:Cone#INPUT_RAYS |INPUT_RAYS]]''**|[[.:polytope|polytope]]|property of Cone|Input property|
|**''[[.:group:Group#INPUT_RAYS_ACTION |INPUT_RAYS_ACTION]]''**|[[.:group|group]]|property of Group|Symmetry|
|**''[[.:group:Action#INPUT_RAYS_GENERATORS |INPUT_RAYS_GENERATORS]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:polytope:Cone#INPUT_RAYS_IN_FACETS |INPUT_RAYS_IN_FACETS]]''**|[[.:polytope|polytope]]|property of Cone|Geometry|
|**''[[.:fan:PolyhedralFan#INPUT_RAYS_REPS |INPUT_RAYS_REPS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Input property|
|**''[[.:tropical:RationalCurve#INPUT_SETS |INPUT_SETS]]''**|[[.:tropical|tropical]]|property of RationalCurve|Input property|
|**''[[.:tropical:RationalCurve#INPUT_STRING |INPUT_STRING]]''**|[[.:tropical|tropical]]|property of RationalCurve|Input property|
|**''[[.:common#FacetList |insert]]([[.:common#Set |Set]] f)''**|[[.:common|common]]|method of FacetList|no category|
|**''[[.:tropical#insert_leaves |insert_leaves]]([[.:tropical:RationalCurve |RationalCurve]] curve, [[.:common#Vector |Vector]]<[[.:common#Int |Int]]> nodes)''**|[[.:tropical|tropical]]|Functions|Abstract rational curves|
|**''[[.:tropical#insert_rays |insert_rays]]([[.:tropical:Cycle |Cycle]]<Addition> F, [[.:common#Matrix |Matrix]]<[[.:common#Rational |Rational]]> R)''**|[[.:tropical|tropical]]|Functions|Basic polyhedral operations|
|**''[[.:common#FacetList |insertMax]]([[.:common#Set |Set]] f)''**|[[.:common|common]]|method of FacetList|no category|
|**''[[.:common#FacetList |insertMin]]([[.:common#Set |Set]] f)''**|[[.:common|common]]|method of FacetList|no category|
|**''[[.:common#Int |Int]]''**|[[.:common|common]]|Property_types|Basic Types|
|**''[[.:common#Integer |Integer]]''**|[[.:common|common]]|Property_types|Basic Types|
|**''[[.:polytope#integer_hull |integer_hull]]([[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:polytope#integer_points_bbox |integer_points_bbox]]([[.:polytope:Polytope |Polytope]]<Scalar> P)''**|[[.:polytope|polytope]]|Functions|Geometry|
|**''[[.:polytope:MixedIntegerLinearProgram#INTEGER_VARIABLES |INTEGER_VARIABLES]]''**|[[.:polytope|polytope]]|property of MixedIntegerLinearProgram|no category|
|**''[[.:fulton:TDivisor#INTEGRAL |INTEGRAL]]''**|[[.:fulton|fulton]]|property of TDivisor|Algebraic Geometry|
|**''[[.:polytope#interior_and_boundary_ridges |interior_and_boundary_ridges]]([[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope:Polytope#INTERIOR_LATTICE_POINTS |INTERIOR_LATTICE_POINTS]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in polytopes|
|**''[[.:polytope:Cone#INTERIOR_RIDGE_SIMPLICES |INTERIOR_RIDGE_SIMPLICES]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:polytope:PointConfiguration#INTERIOR_RIDGE_SIMPLICES |INTERIOR_RIDGE_SIMPLICES]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Combinatorics|
|**''[[.:matroid#internal_activity |internal_activity]]()''**|[[.:matroid|matroid]]|Functions|Other|
|**''[[.:tropical#intersect |intersect]]([[.:tropical:Cycle |Cycle]] X, [[.:tropical:Cycle |Cycle]] Y)''**|[[.:tropical|tropical]]|Functions|Intersection theory|
|**''[[.:tropical#intersect_check_transversality |intersect_check_transversality]]([[.:tropical:Cycle |Cycle]] X, [[.:tropical:Cycle |Cycle]] Y, [[.:common#Bool |Bool]] ensure_transversality)''**|[[.:tropical|tropical]]|Functions|Intersection theory|
|**''[[.:tropical#intersect_container |intersect_container]]([[.:tropical:Cycle |Cycle]] cycle, [[.:tropical:Cycle |Cycle]] container, [[.:common#Bool |Bool]] forceLatticeComputation)''**|[[.:tropical|tropical]]|Functions|Basic polyhedral operations|
|**''[[.:tropical#intersect_in_smooth_surface |intersect_in_smooth_surface]]([[.:tropical:Cycle |Cycle]]<Addition> surface, [[.:tropical:Cycle |Cycle]]<Addition> A, [[.:tropical:Cycle |Cycle]]<Addition> B)''**|[[.:tropical|tropical]]|Functions|Intersection theory|
|**''[[.:fan#intersection |intersection]]([[.:fan:PolyhedralFan |PolyhedralFan]] F, [[.:common#Matrix |Matrix]] H)''**|[[.:fan|fan]]|Functions|Producing a fan|
|**''[[.:matroid#intersection |intersection]]([[.:matroid:Matroid |Matroid]] M)''**|[[.:matroid|matroid]]|Functions|Producing a matroid from matroids|
|**''[[.:polytope#intersection |intersection]]([[.:polytope:Cone |Cone]] C ...)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:fan:PolyhedralFan#INTERSECTION_COMPLEX |INTERSECTION_COMPLEX]]''**|[[.:fan|fan]]|property of PolyhedralFan|Topology|
|**''[[.:tropical#intersection_extremals |intersection_extremals]]([[.:common#Matrix |Matrix]]<[[.:common#TropicalNumber |TropicalNumber]]> G, [[.:common#Vector |Vector]]<[[.:common#TropicalNumber |TropicalNumber]]> a, [[.:common#Vector |Vector]]<[[.:common#TropicalNumber |TropicalNumber]]> b)''**|[[.:tropical|tropical]]|Functions|Tropical operations|
|**''[[.:topaz:SimplicialComplex#INTERSECTION_FORM |INTERSECTION_FORM]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Topology|
|**''[[.:topaz#IntersectionForm |IntersectionForm]]''**|[[.:topaz|topaz]]|Property_types|Topology|
|**''[[.:common#inv |inv]]([[.:common#Matrix |Matrix]] A)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:common#Graph |invalid_node]]([[.:common#Int |Int]] node)''**|[[.:common|common]]|method of Graph|no category|
|**''[[.:group#invariant_polynomials |invariant_polynomials]]([[.:group:MatrixActionOnVectors |MatrixActionOnVectors]] a, [[.:common#Int |Int]] d)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:graph:Lattice#INVERSE_RANK_MAP |INVERSE_RANK_MAP]]''**|[[.:graph|graph]]|property of Lattice|Combinatorics|
|**''[[.:graph#InverseRankMap |InverseRankMap]]<SeqType>''**|[[.:graph|graph]]|Property_types|Combinatorics|
|**''[[.:group:Action#IRREDUCIBLE_DECOMPOSITION |IRREDUCIBLE_DECOMPOSITION]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:group#irreducible_decomposition |irreducible_decomposition]]<Scalar>([[.:common#Vector |Vector]]<Scalar> character, [[.:group:Group |Group]] G)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:fan#is_B_nested |is_B_nested]]([[.:common#Set |Set]]<[[.:common#Set |Set]]> check_me, [[.:common#PowerSet |PowerSet]] B)''**|[[.:fan|fan]]|Functions|Other|
|**''[[.:tropical:Cycle#IS_BALANCED |IS_BALANCED]]''**|[[.:tropical|tropical]]|property of Cycle|Weights and lattices|
|**''[[.:tropical#is_balanced |is_balanced]]([[.:tropical:Cycle |Cycle]] C)''**|[[.:tropical|tropical]]|Functions|Weights and lattices|
|**''[[.:fan#is_building_set |is_building_set]]([[.:common#PowerSet |PowerSet]] check_me, [[.:common#Int |Int]] n)''**|[[.:fan|fan]]|Functions|Other|
|**''[[.:tropical#is_contained |is_contained]]([[.:common#Matrix |Matrix]]<[[.:common#TropicalNumber |TropicalNumber]]> apices, [[.:common#Array |Array]]<[[.:common#Set |Set]]<[[.:common#Int |Int]]%%>>%% sectors)''**|[[.:tropical|tropical]]|Functions|Tropical operations|
|**''[[.:tropical#is_empty |is_empty]]''**|[[.:tropical|tropical]]|Functions|Degeneracy tests|
|**''[[.:tropical:Cycle#is_fan |is_fan]]([[.:common#Bool |Bool]] allow_translations)''**|[[.:tropical|tropical]]|method of Cycle|Basic polyhedral operations|
|**''[[.:topaz#is_generalized_shelling |is_generalized_shelling]]([[.:common#Array |Array]]<[[.:common#Set |Set]]> FaceList)''**|[[.:topaz|topaz]]|Functions|Other|
|**''[[.:tropical:Morphism#IS_GLOBALLY_AFFINE_LINEAR |IS_GLOBALLY_AFFINE_LINEAR]]''**|[[.:tropical|tropical]]|property of Morphism|Defining morphisms and functions|
|**''[[.:tropical:RationalFunction#IS_GLOBALLY_DEFINED |IS_GLOBALLY_DEFINED]]''**|[[.:tropical|tropical]]|property of RationalFunction|Defining morphisms and functions|
|**''[[.:common#is_integral |is_integral]]([[.:common#Vector |Vector]] v)''**|[[.:common|common]]|Functions|Lattice Tools|
|**''[[.:common#is_integral |is_integral]]([[.:common#Matrix |Matrix]] m)''**|[[.:common|common]]|Functions|Lattice Tools|
|**''[[.:tropical:Cycle#IS_IRREDUCIBLE |IS_IRREDUCIBLE]]''**|[[.:tropical|tropical]]|property of Cycle|Weights and lattices|
|**''[[.:matroid:Matroid#is_isomorphic_to |is_isomorphic_to]]([[.:matroid:Matroid |Matroid]] M)''**|[[.:matroid|matroid]]|method of Matroid|Advanced properties|
|**''[[.:matroid#is_modular_cut |is_modular_cut]]([[.:matroid:Matroid |Matroid]] M, [[.:common#Array |Array]]<[[.:common#Set |Set]]> C)''**|[[.:matroid|matroid]]|Functions|Other|
|**''[[.:matroid#is_nested_matroid |is_nested_matroid]]([[.:matroid:Matroid |Matroid]] M)''**|[[.:matroid|matroid]]|Functions|Advanced properties|
|**''[[.:common#is_nonnegative |is_nonnegative]](ARRAY data)''**|[[.:common|common]]|Functions|Utilities|
|**''[[.:common#is_one |is_one]](//Scalar// s)''**|[[.:common|common]]|Functions|Arithmetic|
|**''[[.:polytope#is_regular |is_regular]]([[.:common#Matrix |Matrix]] points, [[.:common#Array |Array]]<[[.:common#Set |Set]]<[[.:common#Int |Int]]%%>>%% subdiv)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:tropical#is_smooth |is_smooth]]([[.:tropical:Cycle |Cycle]]<Addition> a)''**|[[.:tropical|tropical]]|Functions|Matroids|
|**''[[.:polytope#is_subdivision |is_subdivision]]([[.:common#Matrix |Matrix]] points, [[.:common#Array |Array]]<[[.:common#Set |Set]]<[[.:common#Int |Int]]%%>>%% faces)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:common#is_unimodal |is_unimodal]](ARRAY data)''**|[[.:common|common]]|Functions|Utilities|
|**''[[.:topaz#is_vertex_decomposition |is_vertex_decomposition]]([[.:topaz:SimplicialComplex |SimplicialComplex]] complex, [[.:common#Array |Array]]<[[.:common#Int |Int]]> vertices)''**|[[.:topaz|topaz]]|Functions|Other|
|**''[[.:common#is_zero |is_zero]](//Scalar// s)''**|[[.:common|common]]|Functions|Arithmetic|
|**''[[.:common#isfinite |isfinite]](//Scalar// a)''**|[[.:common|common]]|Functions|Arithmetic|
|**''[[.:common#isinf |isinf]](//Scalar// a)''**|[[.:common|common]]|Functions|Arithmetic|
|**''[[.:topaz#isomorphic |isomorphic]]([[.:topaz:SimplicialComplex |SimplicialComplex]] complex1, [[.:topaz:SimplicialComplex |SimplicialComplex]] complex2)''**|[[.:topaz|topaz]]|Functions|Comparing|
|**''[[.:graph#isomorphic |isomorphic]]([[.:common#IncidenceMatrix |IncidenceMatrix]] IncidenceMatrix1, [[.:common#IncidenceMatrix |IncidenceMatrix]] IncidenceMatrix2)''**|[[.:graph|graph]]|Functions|Comparing|
|**''[[.:graph#isomorphic |isomorphic]]([[.:common#Graph |Graph]] graph1, [[.:common#Graph |Graph]] graph2)''**|[[.:graph|graph]]|Functions|Comparing|
|**''[[.:polytope#isomorphic |isomorphic]]([[.:polytope:Cone |Cone]] P1, [[.:polytope:Cone |Cone]] P2)''**|[[.:polytope|polytope]]|Functions|Comparing|
|**''[[.:group#isotypic_basis |isotypic_basis]]([[.:group:Group |Group]] G, [[.:group:PermutationActionOnSets |PermutationActionOnSets]] A, [[.:common#Int |Int]] i)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:group#isotypic_basis |isotypic_basis]]([[.:group:Group |Group]] G, [[.:group:PermutationAction |PermutationAction]] A, [[.:common#Int |Int]] i)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:group#isotypic_basis |isotypic_basis]]<Scalar>([[.:group:Group |Group]] G, [[.:group:MatrixActionOnVectors |MatrixActionOnVectors]]<Scalar> A, [[.:common#Int |Int]] i)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:polytope:SymmetrizedCocircuitEquations#ISOTYPIC_COMPONENTS |ISOTYPIC_COMPONENTS]]''**|[[.:polytope|polytope]]|property of SymmetrizedCocircuitEquations|no category|
|**''[[.:polytope#isotypic_configuration |isotypic_configuration]]([[.:polytope:Polytope |Polytope]] P, [[.:common#Int |Int]] i)''**|[[.:polytope|polytope]]|Functions|Symmetry|
|**''[[.:group#isotypic_projector |isotypic_projector]]([[.:group:Group |Group]] G, [[.:group:PermutationAction |PermutationAction]] A, [[.:common#Int |Int]] i)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:group#isotypic_projector |isotypic_projector]]<Scalar>([[.:group:Group |Group]] G, [[.:group:MatrixActionOnVectors |MatrixActionOnVectors]]<Scalar> A, [[.:common#Int |Int]] i)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:group#isotypic_supports |isotypic_supports]]([[.:group:PermutationActionOnSets |PermutationActionOnSets]] a, [[.:common#Array |Array]]<[[.:common#Set |Set]]> A)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:group#isotypic_supports |isotypic_supports]]([[.:group:PermutationActionOnSets |PermutationActionOnSets]] a, [[.:common#SparseMatrix |SparseMatrix]] M)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:topaz#iterated_barycentric_subdivision |iterated_barycentric_subdivision]]([[.:topaz:SimplicialComplex |SimplicialComplex]] complex, [[.:common#Int |Int]] k)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:polytope#iterated_barycentric_subdivision |iterated_barycentric_subdivision]]([[.:polytope:Cone |Cone]] c, [[.:common#Int |Int]] n)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope:VoronoiPolyhedron#ITERATED_DELAUNAY_GRAPH |ITERATED_DELAUNAY_GRAPH]]''**|[[.:polytope|polytope]]|property of VoronoiPolyhedron|no category|
|**''[[.:polytope:VoronoiPolyhedron#ITERATED_VORONOI_GRAPH |ITERATED_VORONOI_GRAPH]]''**|[[.:polytope|polytope]]|property of VoronoiPolyhedron|no category|
|**''[[.:common#Iterator |Iterator]]<Element>''**|[[.:common|common]]|Property_types|Artificial|
|**''[[.:matroid#j_matroid |j_matroid]]()''**|[[.:matroid|matroid]]|Functions|Producing a matroid from scratch|
|**''[[.:common#javaview |javaview]]([[.:common:Visual_Object |Visual::Object]] vis_obj ...)''**|[[.:common|common]]|Functions|Visualization|
|**''[[.:graph#johnson_graph |johnson_graph]]([[.:common#Int |Int]] n, [[.:common#Int |Int]] k)''**|[[.:graph|graph]]|Functions|Producing a graph|
|**''[[.:polytope#johnson_solid |johnson_solid]]([[.:common#Int |Int]] n)''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:polytope#johnson_solid |johnson_solid]]([[.:common#String |String]] s)''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:topaz#join_complexes |join_complexes]]([[.:topaz:SimplicialComplex |SimplicialComplex]] complex1, [[.:topaz:SimplicialComplex |SimplicialComplex]] complex2)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:polytope#join_polytopes |join_polytopes]]([[.:polytope:Polytope |Polytope]] P1, [[.:polytope:Polytope |Polytope]] P2)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:common#jreality |jreality]]([[.:common:Visual_Object |Visual::Object]] vis_obj ...)''**|[[.:common|common]]|Functions|Visualization|
|**''[[.:common#ExtGCD |k1]]()''**|[[.:common|common]]|method of ExtGCD|no category|
|**''[[.:common#ExtGCD |k2]]()''**|[[.:common|common]]|method of ExtGCD|no category|
|**''[[.:polytope#k_cyclic |k_cyclic]]([[.:common#Int |Int]] n, [[.:common#Vector |Vector]] s)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:fan#k_skeleton |k_skeleton]]<Coord>([[.:fan:PolyhedralFan |PolyhedralFan]] F, [[.:common#Int |Int]] k)''**|[[.:fan|fan]]|Functions|Producing a fan|
|**''[[.:topaz#k_skeleton |k_skeleton]]([[.:topaz:SimplicialComplex |SimplicialComplex]] complex, [[.:common#Int |Int]] k)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:topaz#k_skeleton |k_skeleton]]([[.:topaz:GeometricSimplicialComplex |GeometricSimplicialComplex]] complex, [[.:common#Int |Int]] k)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:polytope#klee_minty_cube |klee_minty_cube]]([[.:common#Int |Int]] d, Scalar e)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:topaz#klein_bottle |klein_bottle]]()''**|[[.:topaz|topaz]]|Functions|Producing from scratch|
|**''[[.:graph#kneser_graph |kneser_graph]]([[.:common#Int |Int]] n, [[.:common#Int |Int]] k)''**|[[.:graph|graph]]|Functions|Producing a graph|
|**''[[.:topaz:SimplicialComplex#KNOT |KNOT]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Topology|
|**''[[.:matroid#l8_matroid |l8_matroid]]()''**|[[.:matroid|matroid]]|Functions|Producing a matroid from scratch|
|**''[[.:common#labeled |labeled]]([[.:common#Vector |Vector]] data, [[.:common#Array |Array]]<[[.:common#String |String]]> elem_labels)''**|[[.:common|common]]|Functions|Formatting|
|**''[[.:topaz:SimplicialComplex#labeled_vertices |labeled_vertices]]([[.:common#String |String]] label ...)''**|[[.:topaz|topaz]]|method of SimplicialComplex|Combinatorics|
|**''[[.:polytope:Polytope#labeled_vertices |labeled_vertices]]([[.:common#String |String]] label ...)''**|[[.:polytope|polytope]]|method of Polytope|Geometry|
|**''[[.:fan:SubdivisionOfVectors#LABELS |LABELS]]''**|[[.:fan|fan]]|property of SubdivisionOfVectors|Visualization|
|**''[[.:matroid:Matroid#LABELS |LABELS]]''**|[[.:matroid|matroid]]|property of Matroid|Other|
|**''[[.:polytope:VectorConfiguration#LABELS |LABELS]]''**|[[.:polytope|polytope]]|property of VectorConfiguration|Visualization|
|**''[[.:matroid:Matroid#LAMINAR |LAMINAR]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:graph#laplacian |laplacian]]([[.:graph:Graph |Graph]] G)''**|[[.:graph|graph]]|Functions|Combinatorics|
|**''[[.:graph#laplacian |laplacian]]([[.:graph:Graph |Graph]] G)''**|[[.:graph|graph]]|Functions|Combinatorics|
|**''[[.:common#latex |latex]]([[.:common#Matrix |Matrix]] data, [[.:common#Array |Array]]<[[.:common#String |String]]> elem_labels)''**|[[.:common|common]]|Functions|Formatting|
|**''[[.:graph:Lattice#Lattice |Lattice]]<Decoration, SeqType>''**|[[.:graph|graph]]|Objects|Combinatorics|
|**''[[.:polytope:Polytope#LATTICE |LATTICE]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope:Visual_Polytope#LATTICE |LATTICE]]()''**|[[.:polytope|polytope]]|method of Visual::Polytope|no category|
|**''[[.:polytope:Polytope#LATTICE_ACCUMULATED_EDGE_LENGTHS |LATTICE_ACCUMULATED_EDGE_LENGTHS]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in cones|
|**''[[.:polytope#lattice_automorphisms_smooth_polytope |lattice_automorphisms_smooth_polytope]]([[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Symmetry|
|**''[[.:tropical:Cycle#LATTICE_BASES |LATTICE_BASES]]''**|[[.:tropical|tropical]]|property of Cycle|Weights and lattices|
|**''[[.:common#lattice_basis |lattice_basis]]([[.:common#Matrix |Matrix]]<[[.:common#Integer |Integer]]> A)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:polytope:Polytope#LATTICE_BASIS |LATTICE_BASIS]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in cones|
|**''[[.:polytope#lattice_bipyramid |lattice_bipyramid]]([[.:polytope:Polytope |Polytope]] P, [[.:common#Vector |Vector]] v, [[.:common#Vector |Vector]] v_prime, [[.:common#Rational |Rational]] z, [[.:common#Rational |Rational]] z_prime)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:polytope:Polytope#LATTICE_CODEGREE |LATTICE_CODEGREE]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in cones|
|**''[[.:polytope:Visual_Polytope#LATTICE_COLORED |LATTICE_COLORED]]()''**|[[.:polytope|polytope]]|method of Visual::Polytope|no category|
|**''[[.:polytope:Polytope#LATTICE_DEGREE |LATTICE_DEGREE]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in cones|
|**''[[.:polytope:Polytope#LATTICE_EDGE_LENGTHS |LATTICE_EDGE_LENGTHS]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in cones|
|**''[[.:polytope:Polytope#LATTICE_EMPTY |LATTICE_EMPTY]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in cones|
|**''[[.:tropical:Cycle#LATTICE_GENERATORS |LATTICE_GENERATORS]]''**|[[.:tropical|tropical]]|property of Cycle|Weights and lattices|
|**''[[.:polytope:Polytope#LATTICE_HOLLOW |LATTICE_HOLLOW]]''**|[[.:polytope|polytope]]|method of Polytope|no category|
|**''[[.:tropical#lattice_index |lattice_index]]([[.:common#Matrix |Matrix]]<[[.:common#Integer |Integer]]> m)''**|[[.:tropical|tropical]]|Functions|Lattices|
|**''[[.:polytope#lattice_isomorphic_smooth_polytopes |lattice_isomorphic_smooth_polytopes]]([[.:polytope:Polytope |Polytope]] P1, [[.:polytope:Polytope |Polytope]] P2)''**|[[.:polytope|polytope]]|Functions|Comparing|
|**''[[.:tropical:Cycle#lattice_normal |lattice_normal]]([[.:common#Int |Int]] i, [[.:common#Int |Int]] j)''**|[[.:tropical|tropical]]|method of Cycle|Weights and lattices|
|**''[[.:tropical:Cycle#LATTICE_NORMAL_FCT_VECTOR |LATTICE_NORMAL_FCT_VECTOR]]''**|[[.:tropical|tropical]]|property of Cycle|Weights and lattices|
|**''[[.:tropical:Cycle#LATTICE_NORMAL_SUM |LATTICE_NORMAL_SUM]]''**|[[.:tropical|tropical]]|property of Cycle|Weights and lattices|
|**''[[.:tropical:Cycle#LATTICE_NORMAL_SUM_FCT_VECTOR |LATTICE_NORMAL_SUM_FCT_VECTOR]]''**|[[.:tropical|tropical]]|property of Cycle|Weights and lattices|
|**''[[.:tropical:Cycle#LATTICE_NORMALS |LATTICE_NORMALS]]''**|[[.:tropical|tropical]]|property of Cycle|Weights and lattices|
|**''[[.:graph#lattice_of_chains |lattice_of_chains]]([[.:graph:Lattice |Lattice]]<Decoration> lattice)''**|[[.:graph|graph]]|Functions|Combinatorics|
|**''[[.:matroid:Matroid#LATTICE_OF_CYCLIC_FLATS |LATTICE_OF_CYCLIC_FLATS]]''**|[[.:matroid|matroid]]|property of Matroid|Axiom systems|
|**''[[.:matroid:Matroid#LATTICE_OF_FLATS |LATTICE_OF_FLATS]]''**|[[.:matroid|matroid]]|property of Matroid|Axiom systems|
|**''[[.:polytope:Polytope#LATTICE_POINTS |LATTICE_POINTS]]()''**|[[.:polytope|polytope]]|method of Polytope|Lattice points in polytopes|
|**''[[.:polytope:Polytope#LATTICE_POINTS_GENERATORS |LATTICE_POINTS_GENERATORS]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in polytopes|
|**''[[.:polytope#lattice_pyramid |lattice_pyramid]]([[.:polytope:Polytope |Polytope]] P, [[.:common#Rational |Rational]] z, [[.:common#Vector |Vector]] v)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:polytope:Polytope#LATTICE_VOLUME |LATTICE_VOLUME]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in cones|
|**''[[.:polytope:Polytope#LATTICE_WIDTH |LATTICE_WIDTH]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in cones|
|**''[[.:polytope:Polytope#LATTICE_WIDTH_DIRECTION |LATTICE_WIDTH_DIRECTION]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in cones|
|**''[[.:polytope#lawrence |lawrence]]([[.:polytope:Cone |Cone]] P)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:polytope#lawrence_matrix |lawrence_matrix]]([[.:common#Matrix |Matrix]] M)''**|[[.:polytope|polytope]]|Functions|Other|
|**''[[.:group:LayeredPermutationAction#LayeredPermutationAction |LayeredPermutationAction]]''**|[[.:group|group]]|Objects|no category|
|**''[[.:common#UniPolynomial |lc]]()''**|[[.:common|common]]|method of UniPolynomial|no category|
|**''[[.:common#Polynomial |lc]]()''**|[[.:common|common]]|method of Polynomial|no category|
|**''[[.:common#lcm |lcm]]([[.:common#Int |Int]] a, [[.:common#Int |Int]] b)''**|[[.:common|common]]|Functions|Arithmetic|
|**''[[.:common#lcm |lcm]]([[.:common#Vector |Vector]]<//Scalar//> v)''**|[[.:common|common]]|Functions|Arithmetic|
|**''[[.:polytope#lecture_hall_simplex |lecture_hall_simplex]]([[.:common#Int |Int]] d)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:graph#LEDA_graph |LEDA_graph]]([[.:common#Graph |Graph]] G)''**|[[.:graph|graph]]|Functions|Visualization|
|**''[[.:common#SmithNormalForm |left_companion]]()''**|[[.:common|common]]|method of SmithNormalForm|no category|
|**''[[.:common#SingularValueDecomposition |left_companion]]()''**|[[.:common|common]]|method of SingularValueDecomposition|no category|
|**''[[.:matroid#lex_extension |lex_extension]]([[.:matroid:Matroid |Matroid]] M, [[.:common#Array |Array]]<[[.:common#Set |Set]]> C)''**|[[.:matroid|matroid]]|Functions|Producing a matroid from matroids|
|**''[[.:group:PermutationAction#lex_maximal |lex_maximal]]''**|[[.:group|group]]|method of PermutationAction|Orbits|
|**''[[.:group#lex_min_representative |lex_min_representative]]([[.:group:Group |Group]] G, [[.:common#Set |Set]] S)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:group:PermutationAction#lex_minimal |lex_minimal]]''**|[[.:group|group]]|method of PermutationAction|Orbits|
|**''[[.:common#lex_ordered |lex_ordered]]([[.:common#FacetList |FacetList]] f)''**|[[.:common|common]]|Functions|Data Conversion|
|**''[[.:tropical#lifted_pluecker |lifted_pluecker]]([[.:common#Matrix |Matrix]]<[[.:common#TropicalNumber |TropicalNumber]]<Addition%%>>%% V)''**|[[.:tropical|tropical]]|Functions|Other|
|**''[[.:fulton:RationalDivisorClassGroup#LIFTING |LIFTING]]''**|[[.:fulton|fulton]]|property of RationalDivisorClassGroup|Algebraic Geometry|
|**''[[.:common#lin_solve |lin_solve]]([[.:common#Matrix |Matrix]] A, [[.:common#Vector |Vector]] b)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:graph#line_graph |line_graph]]([[.:graph:Graph |Graph]] G)''**|[[.:graph|graph]]|Functions|Combinatorics|
|**''[[.:fan:PolyhedralFan#LINEALITY_DIM |LINEALITY_DIM]]''**|[[.:fan|fan]]|property of PolyhedralFan|Geometry|
|**''[[.:polytope:Cone#LINEALITY_DIM |LINEALITY_DIM]]''**|[[.:polytope|polytope]]|property of Cone|Geometry|
|**''[[.:fan:PolyhedralFan#LINEALITY_SPACE |LINEALITY_SPACE]]''**|[[.:fan|fan]]|property of PolyhedralFan|Geometry|
|**''[[.:common#lineality_space |lineality_space]]([[.:common#Matrix |Matrix]] A)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:polytope:Cone#LINEALITY_SPACE |LINEALITY_SPACE]]''**|[[.:polytope|polytope]]|property of Cone|Geometry|
|**''[[.:group:Action#LINEALITY_SPACE_GENERATORS |LINEALITY_SPACE_GENERATORS]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:tropical:Morphism#LINEALITY_VALUES |LINEALITY_VALUES]]''**|[[.:tropical|tropical]]|property of Morphism|Defining morphisms and functions|
|**''[[.:tropical:RationalFunction#LINEALITY_VALUES |LINEALITY_VALUES]]''**|[[.:tropical|tropical]]|property of RationalFunction|Defining morphisms and functions|
|**''[[.:polytope:MixedIntegerLinearProgram#LINEAR_OBJECTIVE |LINEAR_OBJECTIVE]]''**|[[.:polytope|polytope]]|property of MixedIntegerLinearProgram|no category|
|**''[[.:polytope:LinearProgram#LINEAR_OBJECTIVE |LINEAR_OBJECTIVE]]''**|[[.:polytope|polytope]]|property of LinearProgram|no category|
|**''[[.:tropical#linear_space |linear_space]]([[.:matroid:ValuatedMatroid |ValuatedMatroid]]<Addition,[[.:common#Rational |Rational]]> A)''**|[[.:tropical|tropical]]|Functions|Tropical linear spaces|
|**''[[.:fan:SubdivisionOfVectors#LINEAR_SPAN |LINEAR_SPAN]]''**|[[.:fan|fan]]|property of SubdivisionOfVectors|Geometry|
|**''[[.:polytope:VectorConfiguration#LINEAR_SPAN |LINEAR_SPAN]]''**|[[.:polytope|polytope]]|property of VectorConfiguration|Geometry|
|**''[[.:polytope:Cone#LINEAR_SPAN |LINEAR_SPAN]]''**|[[.:polytope|polytope]]|property of Cone|Geometry|
|**''[[.:fan:PolyhedralFan#LINEAR_SPAN_NORMALS |LINEAR_SPAN_NORMALS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Geometry|
|**''[[.:polytope#linear_symmetries |linear_symmetries]]''**|[[.:polytope|polytope]]|Functions|Symmetry|
|**''[[.:polytope#linear_symmetries |linear_symmetries]]([[.:common#Matrix |Matrix]] m)''**|[[.:polytope|polytope]]|Functions|Symmetry|
|**''[[.:polytope:LinearProgram#LinearProgram |LinearProgram]]<Scalar>''**|[[.:polytope|polytope]]|Objects|Optimization|
|**''[[.:tropical#lines_in_cubic |lines_in_cubic]]([[.:common#Polynomial |Polynomial]]<[[.:common#TropicalNumber |TropicalNumber]]<Addition%%>>%% p)''**|[[.:tropical|tropical]]|Functions|Lines in surfaces|
|**''[[.:tropical:LinesInCubic#LinesInCubic |LinesInCubic]]<Addition>''**|[[.:tropical|tropical]]|Objects|no category|
|**''[[.:topaz#link_complex |link_complex]]([[.:topaz:SimplicialComplex |SimplicialComplex]] complex, [[.:common#Set |Set]]<[[.:common#Int |Int]]> face)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:common#List |List]]<Element>''**|[[.:common|common]]|Property_types|Basic Types|
|**''[[.:core:Core_RuleChain#list |list]]''**|[[.:core|core]]|method of Core::RuleChain|no category|
|**''[[.:core:Core_Object#list_attachments |list_attachments]]''**|[[.:core|core]]|method of Core::Object|no category|
|**''[[.:tropical:LinesInCubic#LIST_FAMILY_FIXED_EDGE |LIST_FAMILY_FIXED_EDGE]]''**|[[.:tropical|tropical]]|property of LinesInCubic|Lists of lines|
|**''[[.:tropical:LinesInCubic#LIST_FAMILY_FIXED_VERTEX |LIST_FAMILY_FIXED_VERTEX]]''**|[[.:tropical|tropical]]|property of LinesInCubic|Lists of lines|
|**''[[.:tropical:LinesInCubic#LIST_FAMILY_MOVING_EDGE |LIST_FAMILY_MOVING_EDGE]]''**|[[.:tropical|tropical]]|property of LinesInCubic|Lists of lines|
|**''[[.:tropical:LinesInCubic#LIST_FAMILY_MOVING_VERTEX |LIST_FAMILY_MOVING_VERTEX]]''**|[[.:tropical|tropical]]|property of LinesInCubic|Lists of lines|
|**''[[.:tropical:LinesInCubic#LIST_ISOLATED_EDGE |LIST_ISOLATED_EDGE]]''**|[[.:tropical|tropical]]|property of LinesInCubic|Lists of lines|
|**''[[.:tropical:LinesInCubic#LIST_ISOLATED_NO_EDGE |LIST_ISOLATED_NO_EDGE]]''**|[[.:tropical|tropical]]|property of LinesInCubic|Lists of lines|
|**''[[.:core:Core_Object#list_names |list_names]]''**|[[.:core|core]]|method of Core::Object|no category|
|**''[[.:core:Core_RuleChain#list_new_properties |list_new_properties]]''**|[[.:core|core]]|method of Core::RuleChain|no category|
|**''[[.:core:Core_Object#list_properties |list_properties]]([[.:common#Bool |Bool]] deep)''**|[[.:core|core]]|method of Core::Object|no category|
|**''[[.:common#Polynomial |lm]]()''**|[[.:common|common]]|method of Polynomial|no category|
|**''[[.:core#load |load]]([[.:common#String |String]] filename)''**|[[.:core|core]]|Functions|Basic|
|**''[[.:core#load_commands |load_commands]]([[.:common#String |String]] filename)''**|[[.:core|core]]|Functions|Interactive|
|**''[[.:core#load_data |load_data]]([[.:common#String |String]] filename)''**|[[.:core|core]]|Functions|Basic|
|**''[[.:ideal#load_singular_library |load_singular_library]]([[.:common#String |String]] s)''**|[[.:ideal|ideal]]|Functions|Singular interface|
|**''[[.:tropical#local_codim_one |local_codim_one]]([[.:tropical:Cycle |Cycle]]<Addition> complex, [[.:common#Int |Int]] face)''**|[[.:tropical|tropical]]|Functions|Local computations|
|**''[[.:tropical#local_m0n |local_m0n]]<Addition>([[.:tropical:RationalCurve |RationalCurve]] R ...)''**|[[.:tropical|tropical]]|Functions|Moduli of rational curves|
|**''[[.:tropical#local_point |local_point]]([[.:tropical:Cycle |Cycle]]<Addition> complex, [[.:common#Vector |Vector]]<[[.:common#Rational |Rational]]> v)''**|[[.:tropical|tropical]]|Functions|Local computations|
|**''[[.:tropical#local_restrict |local_restrict]]([[.:tropical:Cycle |Cycle]]<Addition> complex, [[.:common#IncidenceMatrix |IncidenceMatrix]] cones)''**|[[.:tropical|tropical]]|Functions|Local computations|
|**''[[.:tropical:Cycle#LOCAL_RESTRICTION |LOCAL_RESTRICTION]]''**|[[.:tropical|tropical]]|property of Cycle|Local computations|
|**''[[.:common#local_var_names |local_var_names]]([[.:common#String |String]] names ...)''**|[[.:common|common]]|Functions|Arithmetic|
|**''[[.:tropical#local_vertex |local_vertex]]([[.:tropical:Cycle |Cycle]]<Addition> complex, [[.:common#Int |Int]] ray)''**|[[.:tropical|tropical]]|Functions|Local computations|
|**''[[.:common#LocalFloatEpsilon |LocalFloatEpsilon]]''**|[[.:common|common]]|Property_types|Artificial|
|**''[[.:topaz:SimplicialComplex#LOCALLY_STRONGLY_CONNECTED |LOCALLY_STRONGLY_CONNECTED]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Topology|
|**''[[.:common#Long |Long]]''**|[[.:common|common]]|Property_types|Basic Types|
|**''[[.:polytope#long_and_winding |long_and_winding]]([[.:common#Int |Int]] r)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:matroid:Matroid#LOOPS |LOOPS]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:common#UniPolynomial |lower_deg]]()''**|[[.:common|common]]|method of UniPolynomial|no category|
|**''[[.:fulton#lower_lattice_points |lower_lattice_points]]''**|[[.:fulton|fulton]]|Functions|Commutative Algebra|
|**''[[.:polytope:Polytope#LP |LP]]''**|[[.:polytope|polytope]]|property of Polytope|Optimization|
|**''[[.:polytope#lp2poly |lp2poly]]<Scalar>([[.:common#String |String]] file, [[.:common#Vector |Vector]] testvec, [[.:common#String |String]] prefix)''**|[[.:polytope|polytope]]|Functions|Optimization|
|**''[[.:tropical#m0n |m0n]]<Addition>([[.:common#Int |Int]] n)''**|[[.:tropical|tropical]]|Functions|Moduli of rational curves|
|**''[[.:polytope#m_sequence |m_sequence]]([[.:common#Vector |Vector]]<[[.:common#Int |Int]]> h)''**|[[.:polytope|polytope]]|Functions|Other|
|**''[[.:polytope:Polytope#MAHLER_VOLUME |MAHLER_VOLUME]]''**|[[.:polytope|polytope]]|property of Polytope|Triangulation and volume|
|**''[[.:polytope#make_totally_dual_integral |make_totally_dual_integral]]([[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:topaz:SimplicialComplex#MANIFOLD |MANIFOLD]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Topology|
|**''[[.:common#Map |Map]]<Key, Value>''**|[[.:common|common]]|Property_types|Set Types|
|**''[[.:polytope#mapping_polytope |mapping_polytope]]([[.:polytope:Polytope |Polytope]] P1, [[.:polytope:Polytope |Polytope]] P2)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:common#Polynomial |mapvars]]([[.:common#Array |Array]]<[[.:common#Int |Int]]> indices, [[.:common#Int |Int]] nvars)''**|[[.:common|common]]|method of Polynomial|no category|
|**''[[.:polytope:PointConfiguration#MASSIVE_GKZ_VECTOR |MASSIVE_GKZ_VECTOR]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Triangulation and volume|
|**''[[.:topaz:SimplicialComplex#MATCHING |MATCHING]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|no category|
|**''[[.:common#Matrix |Matrix]]<Element, Sym>''**|[[.:common|common]]|Property_types|Algebraic Types|
|**''[[.:tropical:Morphism#MATRIX |MATRIX]]''**|[[.:tropical|tropical]]|property of Morphism|Defining morphisms and functions|
|**''[[.:fan:PolyhedralFan#MATRIX_ACTION |MATRIX_ACTION]]''**|[[.:fan|fan]]|property of PolyhedralFan|Symmetry|
|**''[[.:polytope:VectorConfiguration#MATRIX_ACTION |MATRIX_ACTION]]''**|[[.:polytope|polytope]]|property of VectorConfiguration|Symmetry|
|**''[[.:polytope:Polytope#MATRIX_ACTION |MATRIX_ACTION]]''**|[[.:polytope|polytope]]|property of Polytope|Symmetry|
|**''[[.:polytope:Cone#MATRIX_ACTION |MATRIX_ACTION]]''**|[[.:polytope|polytope]]|property of Cone|Symmetry|
|**''[[.:polytope:PointConfiguration#MATRIX_ACTION |MATRIX_ACTION]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Symmetry|
|**''[[.:fan:PolyhedralComplex#MATRIX_ACTION_ON_COMPLEX |MATRIX_ACTION_ON_COMPLEX]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:group:MatrixActionOnVectors#MatrixActionOnVectors |MatrixActionOnVectors]]''**|[[.:group|group]]|Objects|no category|
|**''[[.:tropical#matrixPair2apexSet |matrixPair2apexSet]]([[.:common#Matrix |Matrix]]<[[.:common#TropicalNumber |TropicalNumber]]> G, [[.:common#Matrix |Matrix]]<[[.:common#TropicalNumber |TropicalNumber]]> A)''**|[[.:tropical|tropical]]|Functions|Tropical operations|
|**''[[.:matroid:Matroid#Matroid |Matroid]]''**|[[.:matroid|matroid]]|Objects|no category|
|**''[[.:tropical#matroid_coordinates_from_curve |matroid_coordinates_from_curve]]<Addition>([[.:tropical:RationalCurve |RationalCurve]] r)''**|[[.:tropical|tropical]]|Functions|Abstract rational curves|
|**''[[.:tropical#matroid_fan |matroid_fan]]<Addition>([[.:matroid:Matroid |Matroid]] m)''**|[[.:tropical|tropical]]|Functions|Matroids|
|**''[[.:tropical#matroid_fan |matroid_fan]]<Addition>([[.:common#Matrix |Matrix]]<[[.:common#Rational |Rational]]> m)''**|[[.:tropical|tropical]]|Functions|Matroids|
|**''[[.:tropical#matroid_fan_from_flats |matroid_fan_from_flats]]<Addition>([[.:matroid:Matroid |Matroid]] A)''**|[[.:tropical|tropical]]|Functions|Matroids|
|**''[[.:matroid#matroid_from_characteristic_vector |matroid_from_characteristic_vector]]([[.:common#Vector |Vector]]<[[.:common#Integer |Integer]]> v, [[.:common#Int |Int]] r, [[.:common#Int |Int]] n)''**|[[.:matroid|matroid]]|Functions|Producing a matroid from other objects|
|**''[[.:matroid#matroid_from_cyclic_flats |matroid_from_cyclic_flats]]([[.:common#Array |Array]]<[[.:common#Set |Set]]<[[.:common#Int |Int]]%%>>%% F, [[.:common#Array |Array]]<[[.:common#Set |Set]]<[[.:common#Int |Int]]%%>>%% R, [[.:common#Int |Int]] N)''**|[[.:matroid|matroid]]|Functions|Producing a matroid from other objects|
|**''[[.:tropical#matroid_from_fan |matroid_from_fan]]([[.:tropical:Cycle |Cycle]]<Addition> A)''**|[[.:tropical|tropical]]|Functions|Matroids|
|**''[[.:matroid#matroid_from_graph |matroid_from_graph]]([[.:graph:Graph |Graph]] g)''**|[[.:matroid|matroid]]|Functions|Producing a matroid from other objects|
|**''[[.:matroid#matroid_from_matroid_polytope |matroid_from_matroid_polytope]]([[.:polytope:Polytope |Polytope]] p)''**|[[.:matroid|matroid]]|Functions|Producing a matroid from other objects|
|**''[[.:matroid:Matroid#MATROID_HYPERPLANES |MATROID_HYPERPLANES]]''**|[[.:matroid|matroid]]|property of Matroid|Axiom systems|
|**''[[.:polytope#matroid_indices_of_hypersimplex_vertices |matroid_indices_of_hypersimplex_vertices]]()''**|[[.:polytope|polytope]]|Functions|Other|
|**''[[.:matroid#matroid_plueckervector |matroid_plueckervector]]([[.:matroid:Matroid |Matroid]] m)''**|[[.:matroid|matroid]]|Functions|Other|
|**''[[.:tropical#matroid_polytope |matroid_polytope]]<Addition, Scalar>([[.:matroid:Matroid |Matroid]] m, Scalar v)''**|[[.:tropical|tropical]]|Functions|Producing a tropical polytope|
|**''[[.:tropical#matroid_ring_cycle |matroid_ring_cycle]]<Addition>([[.:matroid:Matroid |Matroid]] M, [[.:common#Int |Int]] scale)''**|[[.:tropical|tropical]]|Functions|Creation functions for specific cycles|
|**''[[.:tropical#matroid_ring_linear_space |matroid_ring_linear_space]]([[.:tropical:MatroidRingCycle |MatroidRingCycle]] L)''**|[[.:tropical|tropical]]|Functions|Matroid ring cycle arithmetics|
|**''[[.:tropical#matroid_ring_product |matroid_ring_product]]([[.:tropical:MatroidRingCycle |MatroidRingCycle]] A, [[.:tropical:MatroidRingCycle |MatroidRingCycle]] B)''**|[[.:tropical|tropical]]|Functions|Matroid ring cycle arithmetics|
|**''[[.:tropical#matroid_ring_sum |matroid_ring_sum]]([[.:tropical:MatroidRingCycle |MatroidRingCycle]] A, [[.:tropical:MatroidRingCycle |MatroidRingCycle]] B)''**|[[.:tropical|tropical]]|Functions|Matroid ring cycle arithmetics|
|**''[[.:tropical:MatroidRingCycle#MatroidRingCycle |MatroidRingCycle]]<Addition>''**|[[.:tropical|tropical]]|Objects|no category|
|**''[[.:common#Max |Max]]''**|[[.:common|common]]|Property_types|Arithmetic|
|**''[[.:polytope:Cone#MAX_BOUNDARY_SIMPLICES |MAX_BOUNDARY_SIMPLICES]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:polytope:PointConfiguration#MAX_BOUNDARY_SIMPLICES |MAX_BOUNDARY_SIMPLICES]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Combinatorics|
|**''[[.:topaz:SimplicialComplex#MAX_CLIQUES |MAX_CLIQUES]]()''**|[[.:topaz|topaz]]|method of SimplicialComplex|Combinatorics|
|**''[[.:graph:Graph#MAX_CLIQUES |MAX_CLIQUES]]''**|[[.:graph|graph]]|property of Graph|no category|
|**''[[.:polytope#max_GC_rank |max_GC_rank]]([[.:common#Int |Int]] d)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:polytope:Cone#MAX_INTERIOR_SIMPLICES |MAX_INTERIOR_SIMPLICES]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:polytope:PointConfiguration#MAX_INTERIOR_SIMPLICES |MAX_INTERIOR_SIMPLICES]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Combinatorics|
|**''[[.:polytope#max_interior_simplices |max_interior_simplices]]([[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope#max_interior_simplices |max_interior_simplices]]([[.:polytope:PointConfiguration |PointConfiguration]] P)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:fan#max_metric |max_metric]]([[.:common#Int |Int]] n)''**|[[.:fan|fan]]|Functions|Finite metric spaces|
|**''[[.:tropical:Cycle#MAXIMAL_AT_CODIM_ONE |MAXIMAL_AT_CODIM_ONE]]''**|[[.:tropical|tropical]]|property of Cycle|Combinatorics|
|**''[[.:fan:SubdivisionOfVectors#MAXIMAL_CELLS |MAXIMAL_CELLS]]''**|[[.:fan|fan]]|property of SubdivisionOfVectors|Combinatorics|
|**''[[.:graph#maximal_chains_of_lattice |maximal_chains_of_lattice]]([[.:graph:Lattice |Lattice]] F)''**|[[.:graph|graph]]|Functions|Combinatorics|
|**''[[.:fan:PolyhedralFan#MAXIMAL_CONE_LABELS |MAXIMAL_CONE_LABELS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Visualization|
|**''[[.:fan:PolyhedralFan#MAXIMAL_CONES |MAXIMAL_CONES]]''**|[[.:fan|fan]]|property of PolyhedralFan|Combinatorics|
|**''[[.:fan:PolyhedralFan#MAXIMAL_CONES_ACTION |MAXIMAL_CONES_ACTION]]''**|[[.:fan|fan]]|property of PolyhedralFan|Symmetry|
|**''[[.:group:Group#MAXIMAL_CONES_ACTION |MAXIMAL_CONES_ACTION]]''**|[[.:group|group]]|property of Group|Symmetry|
|**''[[.:fan:PolyhedralFan#MAXIMAL_CONES_COMBINATORIAL_DIMS |MAXIMAL_CONES_COMBINATORIAL_DIMS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Combinatorics|
|**''[[.:fan:PolyhedralFan#MAXIMAL_CONES_FACETS |MAXIMAL_CONES_FACETS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Geometry|
|**''[[.:group:Action#MAXIMAL_CONES_GENERATORS |MAXIMAL_CONES_GENERATORS]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:fan:PolyhedralFan#MAXIMAL_CONES_IN_ORBITS |MAXIMAL_CONES_IN_ORBITS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Symmetry|
|**''[[.:fan:PolyhedralFan#MAXIMAL_CONES_INCIDENCES |MAXIMAL_CONES_INCIDENCES]]''**|[[.:fan|fan]]|property of PolyhedralFan|Combinatorics|
|**''[[.:fan:PolyhedralFan#MAXIMAL_CONES_LINEAR_SPAN_NORMALS |MAXIMAL_CONES_LINEAR_SPAN_NORMALS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Geometry|
|**''[[.:fan:PolyhedralFan#MAXIMAL_CONES_ORBIT_SIZES |MAXIMAL_CONES_ORBIT_SIZES]]''**|[[.:fan|fan]]|property of PolyhedralFan|Symmetry|
|**''[[.:fan:PolyhedralFan#MAXIMAL_CONES_REPS |MAXIMAL_CONES_REPS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Symmetry|
|**''[[.:fan:PolyhedralFan#MAXIMAL_CONES_REPS_DIMS |MAXIMAL_CONES_REPS_DIMS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Symmetry|
|**''[[.:fan:PolyhedralFan#MAXIMAL_CONES_REPS_FACETS |MAXIMAL_CONES_REPS_FACETS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Symmetry|
|**''[[.:fan:PolyhedralFan#MAXIMAL_CONES_REPS_LINEAR_SPAN_NORMALS |MAXIMAL_CONES_REPS_LINEAR_SPAN_NORMALS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Symmetry|
|**''[[.:fan:PolyhedralFan#MAXIMAL_CONES_THRU_RAYS |MAXIMAL_CONES_THRU_RAYS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Combinatorics|
|**''[[.:tropical:Polytope#MAXIMAL_COVECTOR_CELLS |MAXIMAL_COVECTOR_CELLS]]''**|[[.:tropical|tropical]]|property of Polytope|Combinatorics|
|**''[[.:tropical:Polytope#MAXIMAL_COVECTORS |MAXIMAL_COVECTORS]]''**|[[.:tropical|tropical]]|property of Polytope|Combinatorics|
|**''[[.:polytope:LinearProgram#MAXIMAL_FACE |MAXIMAL_FACE]]''**|[[.:polytope|polytope]]|property of LinearProgram|no category|
|**''[[.:fan:PolyhedralComplex#MAXIMAL_POLYTOPES |MAXIMAL_POLYTOPES]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Combinatorics|
|**''[[.:fan:PolyhedralComplex#MAXIMAL_POLYTOPES_ACTION |MAXIMAL_POLYTOPES_ACTION]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:fan:PolyhedralComplex#MAXIMAL_POLYTOPES_AFFINE_HULL_NORMALS |MAXIMAL_POLYTOPES_AFFINE_HULL_NORMALS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Geometry|
|**''[[.:fan:PolyhedralComplex#MAXIMAL_POLYTOPES_COMBINATORIAL_DIMS |MAXIMAL_POLYTOPES_COMBINATORIAL_DIMS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Combinatorics|
|**''[[.:fan:PolyhedralComplex#MAXIMAL_POLYTOPES_FACETS |MAXIMAL_POLYTOPES_FACETS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Geometry|
|**''[[.:fan:PolyhedralComplex#MAXIMAL_POLYTOPES_GENERATORS |MAXIMAL_POLYTOPES_GENERATORS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:fan:PolyhedralComplex#MAXIMAL_POLYTOPES_IN_ORBITS |MAXIMAL_POLYTOPES_IN_ORBITS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:fan:PolyhedralComplex#MAXIMAL_POLYTOPES_INCIDENCES |MAXIMAL_POLYTOPES_INCIDENCES]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Combinatorics|
|**''[[.:fan:PolyhedralComplex#MAXIMAL_POLYTOPES_ORBIT_SIZES |MAXIMAL_POLYTOPES_ORBIT_SIZES]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:fan:PolyhedralComplex#MAXIMAL_POLYTOPES_REPS |MAXIMAL_POLYTOPES_REPS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:fan:PolyhedralComplex#MAXIMAL_POLYTOPES_REPS_AFFINE_SPAN_NORMALS |MAXIMAL_POLYTOPES_REPS_AFFINE_SPAN_NORMALS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:fan:PolyhedralComplex#MAXIMAL_POLYTOPES_REPS_DIMS |MAXIMAL_POLYTOPES_REPS_DIMS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:fan:PolyhedralComplex#MAXIMAL_POLYTOPES_REPS_FACETS |MAXIMAL_POLYTOPES_REPS_FACETS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:fan:PolyhedralComplex#MAXIMAL_POLYTOPES_THRU_VERTICES |MAXIMAL_POLYTOPES_THRU_VERTICES]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Combinatorics|
|**''[[.:polytope:MixedIntegerLinearProgram#MAXIMAL_SOLUTION |MAXIMAL_SOLUTION]]''**|[[.:polytope|polytope]]|property of MixedIntegerLinearProgram|no category|
|**''[[.:matroid:Matroid#MAXIMAL_TRANSVERSAL_PRESENTATION |MAXIMAL_TRANSVERSAL_PRESENTATION]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:polytope:MixedIntegerLinearProgram#MAXIMAL_VALUE |MAXIMAL_VALUE]]''**|[[.:polytope|polytope]]|property of MixedIntegerLinearProgram|no category|
|**''[[.:polytope:LinearProgram#MAXIMAL_VALUE |MAXIMAL_VALUE]]''**|[[.:polytope|polytope]]|property of LinearProgram|no category|
|**''[[.:polytope:LinearProgram#MAXIMAL_VERTEX |MAXIMAL_VERTEX]]''**|[[.:polytope|polytope]]|property of LinearProgram|no category|
|**''[[.:common#maximum |maximum]](ARRAY array)''**|[[.:common|common]]|Functions|Utilities|
|**''[[.:common#median |median]](ARRAY array)''**|[[.:common|common]]|Functions|Utilities|
|**''[[.:graph#metapost |metapost]]([[.:common:Visual_Object |Visual::Object]] vis_obj ...)''**|[[.:graph|graph]]|Functions|Visualization|
|**''[[.:fan#metric_extended_tight_span |metric_extended_tight_span]]([[.:common#Matrix |Matrix]]<[[.:common#Rational |Rational]]> M)''**|[[.:fan|fan]]|Functions|Finite metric spaces|
|**''[[.:fan#metric_tight_span |metric_tight_span]]([[.:common#Matrix |Matrix]]<[[.:common#Rational |Rational]]> M)''**|[[.:fan|fan]]|Functions|Finite metric spaces|
|**''[[.:tropical:RationalCurve#metric_vector |metric_vector]]''**|[[.:tropical|tropical]]|method of RationalCurve|Conversion|
|**''[[.:polytope:Polytope#MILP |MILP]]''**|[[.:polytope|polytope]]|property of Polytope|Optimization|
|**''[[.:common#Min |Min]]''**|[[.:common|common]]|Property_types|Arithmetic|
|**''[[.:polytope:Visual_Polytope#MIN_MAX_FACE |MIN_MAX_FACE]]([[.:polytope:LinearProgram |LinearProgram]] lp)''**|[[.:polytope|polytope]]|method of Visual::Polytope|no category|
|**''[[.:polytope:Visual_PolytopeGraph#MIN_MAX_FACE |MIN_MAX_FACE]]([[.:polytope:LinearProgram |LinearProgram]] lp)''**|[[.:polytope|polytope]]|method of Visual::PolytopeGraph|no category|
|**''[[.:polytope:Visual_SchlegelDiagram#MIN_MAX_FACE |MIN_MAX_FACE]]([[.:polytope:LinearProgram |LinearProgram]] lp)''**|[[.:polytope|polytope]]|method of Visual::SchlegelDiagram|no category|
|**''[[.:polytope:Visual_PolytopeLattice#MIN_MAX_FACE |MIN_MAX_FACE]]([[.:polytope:LinearProgram |LinearProgram]] lp)''**|[[.:polytope|polytope]]|method of Visual::PolytopeLattice|no category|
|**''[[.:fan#min_metric |min_metric]]([[.:common#Int |Int]] n)''**|[[.:fan|fan]]|Functions|Finite metric spaces|
|**''[[.:fan:SubdivisionOfVectors#MIN_WEIGHTS |MIN_WEIGHTS]]''**|[[.:fan|fan]]|property of SubdivisionOfVectors|Geometry|
|**''[[.:matroid#minimal_base |minimal_base]]([[.:matroid:Matroid |Matroid]] matroid, [[.:common#Vector |Vector]] weights)''**|[[.:matroid|matroid]]|Functions|Other|
|**''[[.:polytope:LinearProgram#MINIMAL_FACE |MINIMAL_FACE]]''**|[[.:polytope|polytope]]|property of LinearProgram|no category|
|**''[[.:topaz:SimplicialComplex#MINIMAL_NON_FACES |MINIMAL_NON_FACES]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Combinatorics|
|**''[[.:polytope:Polytope#MINIMAL_NON_FACES |MINIMAL_NON_FACES]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:polytope:MixedIntegerLinearProgram#MINIMAL_SOLUTION |MINIMAL_SOLUTION]]''**|[[.:polytope|polytope]]|property of MixedIntegerLinearProgram|no category|
|**''[[.:polytope:MixedIntegerLinearProgram#MINIMAL_VALUE |MINIMAL_VALUE]]''**|[[.:polytope|polytope]]|property of MixedIntegerLinearProgram|no category|
|**''[[.:polytope:LinearProgram#MINIMAL_VALUE |MINIMAL_VALUE]]''**|[[.:polytope|polytope]]|property of LinearProgram|no category|
|**''[[.:polytope:LinearProgram#MINIMAL_VERTEX |MINIMAL_VERTEX]]''**|[[.:polytope|polytope]]|property of LinearProgram|no category|
|**''[[.:polytope:Polytope#MINIMAL_VERTEX_ANGLE |MINIMAL_VERTEX_ANGLE]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope#minimal_vertex_angle |minimal_vertex_angle]]([[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Geometry|
|**''[[.:common#minimum |minimum]](ARRAY array)''**|[[.:common|common]]|Functions|Utilities|
|**''[[.:polytope:Polytope#MINKOWSKI_CONE |MINKOWSKI_CONE]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope:Polytope#MINKOWSKI_CONE_COEFF |MINKOWSKI_CONE_COEFF]]([[.:common#Vector |Vector]]<[[.:common#Rational |Rational]]> coeff)''**|[[.:polytope|polytope]]|method of Polytope|Geometry|
|**''[[.:polytope:Polytope#MINKOWSKI_CONE_POINT |MINKOWSKI_CONE_POINT]]([[.:common#Vector |Vector]]<[[.:common#Rational |Rational]]> point)''**|[[.:polytope|polytope]]|method of Polytope|Geometry|
|**''[[.:tropical#minkowski_sum |minkowski_sum]]([[.:common#TropicalNumber |TropicalNumber]]<Addition,Scalar> lambda, [[.:tropical:Polytope |Polytope]]<Addition,Scalar> P, [[.:common#TropicalNumber |TropicalNumber]]<Addition,Scalar> mu, [[.:tropical:Polytope |Polytope]]<Addition,Scalar> Q)''**|[[.:tropical|tropical]]|Functions|Producing a tropical polytope|
|**''[[.:polytope#minkowski_sum |minkowski_sum]]([[.:polytope:Polytope |Polytope]] P1, [[.:polytope:Polytope |Polytope]] P2)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:polytope#minkowski_sum |minkowski_sum]](Scalar lambda, [[.:polytope:Polytope |Polytope]] P1, Scalar mu, [[.:polytope:Polytope |Polytope]] P2)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:polytope#minkowski_sum |minkowski_sum]]([[.:polytope:PointConfiguration |PointConfiguration]] P1, [[.:polytope:PointConfiguration |PointConfiguration]] P2)''**|[[.:polytope|polytope]]|Functions|Producing a point configuration|
|**''[[.:polytope#minkowski_sum |minkowski_sum]](Scalar lambda, [[.:polytope:PointConfiguration |PointConfiguration]] P1, Scalar mu, [[.:polytope:PointConfiguration |PointConfiguration]] P2)''**|[[.:polytope|polytope]]|Functions|Producing a point configuration|
|**''[[.:polytope#minkowski_sum_fukuda |minkowski_sum_fukuda]]([[.:common#Array |Array]]<[[.:polytope:Polytope |Polytope]]> summands)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:common#Matrix |minor]]([[.:common#Set |Set]] r, [[.:common#Set |Set]] c)''**|[[.:common|common]]|method of Matrix|no category|
|**''[[.:common#IncidenceMatrix |minor]]([[.:common#Set |Set]] r, [[.:common#Set |Set]] c)''**|[[.:common|common]]|method of IncidenceMatrix|no category|
|**''[[.:common#Integer |minus_inf]]''**|[[.:common|common]]|method of Integer|no category|
|**''[[.:common#Rational |minus_inf]]''**|[[.:common|common]]|method of Rational|no category|
|**''[[.:common#Float |minus_inf]]''**|[[.:common|common]]|method of Float|no category|
|**''[[.:topaz:SimplicialComplex#MIXED_GRAPH |MIXED_GRAPH]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Visualization|
|**''[[.:topaz#mixed_graph |mixed_graph]]([[.:topaz:SimplicialComplex |SimplicialComplex]] complex)''**|[[.:topaz|topaz]]|Functions|Other|
|**''[[.:polytope#mixed_integer_hull |mixed_integer_hull]]([[.:polytope:Polytope |Polytope]] P, [[.:common#Array |Array]]<[[.:common#Int |Int]]> int_coords)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:fan#mixed_subdivision |mixed_subdivision]]([[.:polytope:Polytope |Polytope]] P_0, [[.:polytope:Polytope |Polytope]] P_1, [[.:common#Array |Array]]<[[.:common#Set |Set]]> VIF, Scalar t_0, Scalar t_1)''**|[[.:fan|fan]]|Functions|Producing a polyhedral complex|
|**''[[.:fan#mixed_subdivision |mixed_subdivision]]([[.:common#Int |Int]] m, [[.:polytope:Polytope |Polytope]] C, [[.:common#Array |Array]]<[[.:common#Set |Set]]> a)''**|[[.:fan|fan]]|Functions|Producing a polyhedral complex|
|**''[[.:fan#mixed_subdivision |mixed_subdivision]]([[.:common#Array |Array]]<[[.:polytope:Polytope |Polytope]]> A, [[.:common#Array |Array]]<[[.:common#Set |Set]]> VIF)''**|[[.:fan|fan]]|Functions|Producing a polyhedral complex|
|**''[[.:polytope#mixed_volume |mixed_volume]]([[.:polytope:Polytope |Polytope]]<Scalar> P1, [[.:polytope:Polytope |Polytope]]<Scalar> P2, [[.:polytope:Polytope |Polytope]]<Scalar> Pn)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope:MixedIntegerLinearProgram#MixedIntegerLinearProgram |MixedIntegerLinearProgram]]<Scalar>''**|[[.:polytope|polytope]]|Objects|Optimization|
|**''[[.:fulton:NormalToricVariety#MODULE_GENERATORS |MODULE_GENERATORS]]''**|[[.:fulton|fulton]]|property of NormalToricVariety|Combinatorics|
|**''[[.:polytope:Polytope#MOEBIUS_STRIP_EDGES |MOEBIUS_STRIP_EDGES]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:polytope:Polytope#MOEBIUS_STRIP_QUADS |MOEBIUS_STRIP_QUADS]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:common#MongoClient |MongoClient]]''**|[[.:common|common]]|Property_types|Database|
|**''[[.:polytope:Cone#MONOID_GRADING |MONOID_GRADING]]''**|[[.:polytope|polytope]]|property of Cone|Lattice points in cones|
|**''[[.:ideal:Ideal#MONOMIAL |MONOMIAL]]''**|[[.:ideal|ideal]]|property of Ideal|Commutative algebra|
|**''[[.:common#UniPolynomial |monomial]]''**|[[.:common|common]]|method of UniPolynomial|no category|
|**''[[.:common#Polynomial |monomial]]([[.:common#Int |Int]] var_index, [[.:common#Int |Int]] n_vars)''**|[[.:common|common]]|method of Polynomial|no category|
|**''[[.:tropical#monomial_cone_lattice |monomial_cone_lattice]]([[.:common#Matrix |Matrix]] M)''**|[[.:tropical|tropical]]|Functions|Tropical operations|
|**''[[.:tropical#monomial_dual_description |monomial_dual_description]]([[.:common#Matrix |Matrix]] monomial_generators)''**|[[.:tropical|tropical]]|Functions|Tropical operations|
|**''[[.:common#monomials |monomials]]<Coefficient, Exponent>([[.:common#Int |Int]] n)''**|[[.:common|common]]|Functions|Arithmetic|
|**''[[.:tropical:Hypersurface#MONOMIALS |MONOMIALS]]''**|[[.:tropical|tropical]]|property of Hypersurface|no category|
|**''[[.:common#Polynomial |monomials_as_matrix]]()''**|[[.:common|common]]|method of Polynomial|no category|
|**''[[.:common#UniPolynomial |monomials_as_vector]]()''**|[[.:common|common]]|method of UniPolynomial|no category|
|**''[[.:common#moore_penrose_inverse |moore_penrose_inverse]]([[.:common#Matrix |Matrix]] M)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:fulton:NormalToricVariety#MORI_CONE |MORI_CONE]]''**|[[.:fulton|fulton]]|property of NormalToricVariety|Algebraic Geometry|
|**''[[.:tropical:Morphism#Morphism |Morphism]]<Addition>''**|[[.:tropical|tropical]]|Objects|no category|
|**''[[.:tropical#morphism_from_affine |morphism_from_affine]]<Addition>([[.:common#Matrix |Matrix]]<[[.:common#Rational |Rational]]> A, [[.:common#Vector |Vector]]<[[.:common#Rational |Rational]]> v, [[.:common#Int |Int]] domain_chart, [[.:common#Int |Int]] target_chart)''**|[[.:tropical|tropical]]|Functions|Affine and projective coordinates|
|**''[[.:topaz:Visual_SimplicialComplex#MORSE_MATCHING |MORSE_MATCHING]]()''**|[[.:topaz|topaz]]|method of Visual::SimplicialComplex|no category|
|**''[[.:topaz:SimplicialComplex#MORSE_MATCHING |MORSE_MATCHING]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Topology|
|**''[[.:topaz:Visual_SimplicialComplexLattice#MORSE_MATCHING |MORSE_MATCHING]]()''**|[[.:topaz|topaz]]|method of Visual::SimplicialComplexLattice|no category|
|**''[[.:topaz:MorseMatching#MorseMatching |MorseMatching]]''**|[[.:topaz|topaz]]|Objects|Topology|
|**''[[.:topaz#multi_associahedron_sphere |multi_associahedron_sphere]]([[.:common#Int |Int]] n, [[.:common#Int |Int]] k)''**|[[.:topaz|topaz]]|Functions|Producing from scratch|
|**''[[.:polytope:PointConfiguration#MULTIPLE_POINTS |MULTIPLE_POINTS]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Geometry|
|**''[[.:polytope:VectorConfiguration#MULTIPLE_VECTORS |MULTIPLE_VECTORS]]''**|[[.:polytope|polytope]]|property of VectorConfiguration|Geometry|
|**''[[.:polytope#multiplex |multiplex]]([[.:common#Int |Int]] d, [[.:common#Int |Int]] n)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:fulton:CyclicQuotient#N |N]]''**|[[.:fulton|fulton]]|property of CyclicQuotient|Input properties|
|**''[[.:matroid#n1_matroid |n1_matroid]]()''**|[[.:matroid|matroid]]|Functions|Producing a matroid from scratch|
|**''[[.:matroid#n2_matroid |n2_matroid]]()''**|[[.:matroid|matroid]]|Functions|Producing a matroid from scratch|
|**''[[.:polytope:Polytope#N_01POINTS |N_01POINTS]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:graph#n_automorphisms |n_automorphisms]]([[.:common#Graph |Graph]] graph)''**|[[.:graph|graph]]|Functions|Comparing|
|**''[[.:matroid:Matroid#N_AUTOMORPHISMS |N_AUTOMORPHISMS]]''**|[[.:matroid|matroid]]|property of Matroid|Enumerative properties|
|**''[[.:matroid:Matroid#N_BASES |N_BASES]]''**|[[.:matroid|matroid]]|property of Matroid|Enumerative properties|
|**''[[.:polytope:Polytope#N_BOUNDARY_LATTICE_POINTS |N_BOUNDARY_LATTICE_POINTS]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in polytopes|
|**''[[.:polytope:Polytope#N_BOUNDED_VERTICES |N_BOUNDED_VERTICES]]''**|[[.:polytope|polytope]]|property of Polytope|Unbounded polyhedra|
|**''[[.:topaz#Filtration |n_cells]]()''**|[[.:topaz|topaz]]|method of Filtration|no category|
|**''[[.:matroid:Matroid#N_CIRCUITS |N_CIRCUITS]]''**|[[.:matroid|matroid]]|property of Matroid|Enumerative properties|
|**''[[.:matroid:Matroid#N_COCIRCUITS |N_COCIRCUITS]]''**|[[.:matroid|matroid]]|method of Matroid|Enumerative properties|
|**''[[.:matroid:Matroid#N_COLOOPS |N_COLOOPS]]''**|[[.:matroid|matroid]]|method of Matroid|Enumerative properties|
|**''[[.:fan:PolyhedralFan#N_CONES |N_CONES]]''**|[[.:fan|fan]]|property of PolyhedralFan|Combinatorics|
|**''[[.:topaz:SimplicialComplex#N_CONNECTED_COMPONENTS |N_CONNECTED_COMPONENTS]]()''**|[[.:topaz|topaz]]|method of SimplicialComplex|Topology|
|**''[[.:graph:Graph#N_CONNECTED_COMPONENTS |N_CONNECTED_COMPONENTS]]''**|[[.:graph|graph]]|property of Graph|no category|
|**''[[.:matroid:Matroid#N_CONNECTED_COMPONENTS |N_CONNECTED_COMPONENTS]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:topaz:MorseMatching#N_CRITICAL_FACES |N_CRITICAL_FACES]]''**|[[.:topaz|topaz]]|property of MorseMatching|no category|
|**''[[.:matroid:Matroid#N_CYCLIC_FLATS |N_CYCLIC_FLATS]]''**|[[.:matroid|matroid]]|property of Matroid|Enumerative properties|
|**''[[.:graph:Graph#N_EDGES |N_EDGES]]''**|[[.:graph|graph]]|property of Graph|no category|
|**''[[.:polytope:Cone#N_EDGES |N_EDGES]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:tropical:MatroidRingCycle#N_ELEMENTS |N_ELEMENTS]]''**|[[.:tropical|tropical]]|property of MatroidRingCycle|Matroid data|
|**''[[.:matroid:Matroid#N_ELEMENTS |N_ELEMENTS]]''**|[[.:matroid|matroid]]|property of Matroid|Enumerative properties|
|**''[[.:polytope:Cone#N_EQUATIONS |N_EQUATIONS]]''**|[[.:polytope|polytope]]|property of Cone|Geometry|
|**''[[.:group:Action#N_EQUATIONS_GENERATORS |N_EQUATIONS_GENERATORS]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:fan:PolyhedralFan#N_FACET_NORMALS |N_FACET_NORMALS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Geometry|
|**''[[.:topaz:SimplicialComplex#N_FACETS |N_FACETS]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Combinatorics|
|**''[[.:polytope:Cone#N_FACETS |N_FACETS]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:group:Action#N_FACETS_GENERATORS |N_FACETS_GENERATORS]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:tropical:LinesInCubic#N_FAMILIES |N_FAMILIES]]''**|[[.:tropical|tropical]]|property of LinesInCubic|Counts of lines|
|**''[[.:polytope#n_fine_triangulations |n_fine_triangulations]]([[.:common#Matrix |Matrix]] M, [[.:common#Bool |Bool]] optimization)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:common#n_fixed_points |n_fixed_points]]([[.:common#Array |Array]]<[[.:common#Int |Int]]> p)''**|[[.:common|common]]|Functions|Combinatorics|
|**''[[.:polytope:Cone#N_FLAGS |N_FLAGS]]([[.:common#Int |Int]] type ...)''**|[[.:polytope|polytope]]|method of Cone|Combinatorics|
|**''[[.:matroid:Matroid#N_FLATS |N_FLATS]]''**|[[.:matroid|matroid]]|property of Matroid|Enumerative properties|
|**''[[.:topaz#Filtration |n_frames]]()''**|[[.:topaz|topaz]]|method of Filtration|no category|
|**''[[.:polytope#n_gon |n_gon]]([[.:common#Int |Int]] n, [[.:common#Rational |Rational]] r, [[.:common#Rational |Rational]] alpha_0)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:fulton:VersalComponent#N_GON_TRIANGULATION |N_GON_TRIANGULATION]]''**|[[.:fulton|fulton]]|property of VersalComponent|Combinatorics|
|**''[[.:graph#n_graph_homomorphisms |n_graph_homomorphisms]]([[.:graph:Graph |Graph]] G, [[.:graph:Graph |Graph]] H)''**|[[.:graph|graph]]|Functions|Combinatorics|
|**''[[.:polytope:Cone#N_HILBERT_BASIS |N_HILBERT_BASIS]]''**|[[.:polytope|polytope]]|property of Cone|Lattice points in cones|
|**''[[.:group:Action#N_INEQUALITIES_GENERATORS |N_INEQUALITIES_GENERATORS]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:polytope:Cone#N_INPUT_LINEALITY |N_INPUT_LINEALITY]]''**|[[.:polytope|polytope]]|property of Cone|Geometry|
|**''[[.:group:Action#N_INPUT_LINEALITY_GENERATORS |N_INPUT_LINEALITY_GENERATORS]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:fan:PolyhedralFan#N_INPUT_RAYS |N_INPUT_RAYS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Geometry|
|**''[[.:polytope:Cone#N_INPUT_RAYS |N_INPUT_RAYS]]''**|[[.:polytope|polytope]]|property of Cone|Geometry|
|**''[[.:group:Action#N_INPUT_RAYS_GENERATORS |N_INPUT_RAYS_GENERATORS]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:polytope:Polytope#N_INTERIOR_LATTICE_POINTS |N_INTERIOR_LATTICE_POINTS]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in polytopes|
|**''[[.:tropical:LinesInCubic#N_ISOLATED |N_ISOLATED]]''**|[[.:tropical|tropical]]|property of LinesInCubic|Counts of lines|
|**''[[.:polytope:Polytope#N_LATTICE_POINTS |N_LATTICE_POINTS]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in polytopes|
|**''[[.:polytope:Polytope#N_LATTICE_POINTS_IN_DILATION |N_LATTICE_POINTS_IN_DILATION]]([[.:common#Int |Int]] n)''**|[[.:polytope|polytope]]|method of Polytope|Lattice points in cones|
|**''[[.:tropical:RationalCurve#N_LEAVES |N_LEAVES]]''**|[[.:tropical|tropical]]|property of RationalCurve|Combinatorics|
|**''[[.:group:Action#N_LINEALITY_SPACE_GENERATORS |N_LINEALITY_SPACE_GENERATORS]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:matroid:Matroid#N_LOOPS |N_LOOPS]]''**|[[.:matroid|matroid]]|property of Matroid|Enumerative properties|
|**''[[.:matroid:Matroid#N_MATROID_HYPERPLANES |N_MATROID_HYPERPLANES]]''**|[[.:matroid|matroid]]|property of Matroid|Enumerative properties|
|**''[[.:polytope:PointConfiguration#N_MAX_BOUNDARY_SIMPLICES |N_MAX_BOUNDARY_SIMPLICES]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Combinatorics|
|**''[[.:polytope:PointConfiguration#N_MAX_INTERIOR_SIMPLICES |N_MAX_INTERIOR_SIMPLICES]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Combinatorics|
|**''[[.:fan:SubdivisionOfVectors#N_MAXIMAL_CELLS |N_MAXIMAL_CELLS]]''**|[[.:fan|fan]]|property of SubdivisionOfVectors|Combinatorics|
|**''[[.:fan:PolyhedralFan#N_MAXIMAL_CONE_ORBITS |N_MAXIMAL_CONE_ORBITS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Symmetry|
|**''[[.:fan:PolyhedralFan#N_MAXIMAL_CONES |N_MAXIMAL_CONES]]''**|[[.:fan|fan]]|property of PolyhedralFan|Combinatorics|
|**''[[.:group:Action#N_MAXIMAL_CONES_GENERATORS |N_MAXIMAL_CONES_GENERATORS]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:fan:PolyhedralComplex#N_MAXIMAL_POLYTOPES |N_MAXIMAL_POLYTOPES]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Combinatorics|
|**''[[.:fan:PolyhedralComplex#N_MAXIMAL_POLYTOPES_ORBITS |N_MAXIMAL_POLYTOPES_ORBITS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:fulton:NormalToricVariety#N_MAXIMAL_TORUS_ORBITS |N_MAXIMAL_TORUS_ORBITS]]''**|[[.:fulton|fulton]]|property of NormalToricVariety|Basic properties|
|**''[[.:topaz:SimplicialComplex#N_MINIMAL_NON_FACES |N_MINIMAL_NON_FACES]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Combinatorics|
|**''[[.:tropical:MatroidRingCycle#N_NESTED_SUMMANDS |N_NESTED_SUMMANDS]]''**|[[.:tropical|tropical]]|property of MatroidRingCycle|Matroid data|
|**''[[.:graph:Graph#N_NODES |N_NODES]]''**|[[.:graph|graph]]|property of Graph|no category|
|**''[[.:group:Action#N_ORBIT_REPRESENTATIVES |N_ORBIT_REPRESENTATIVES]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:group:Action#N_ORBITS |N_ORBITS]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:fan:SubdivisionOfPoints#N_POINTS |N_POINTS]]''**|[[.:fan|fan]]|property of SubdivisionOfPoints|Geometry|
|**''[[.:fan:PolyhedralComplex#N_POINTS |N_POINTS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Geometry|
|**''[[.:polytope:Polytope#N_POINTS |N_POINTS]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope:PointConfiguration#N_POINTS |N_POINTS]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Geometry|
|**''[[.:fan:PolyhedralComplex#N_POINTS_GENERATORS |N_POINTS_GENERATORS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:fan:PolyhedralComplex#N_POINTS_GENERATORS |N_POINTS_GENERATORS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:polytope:Polytope#N_POINTS_GENERATORS |N_POINTS_GENERATORS]]''**|[[.:polytope|polytope]]|property of Polytope|no category|
|**''[[.:fan:PolyhedralComplex#N_POLYTOPES |N_POLYTOPES]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Combinatorics|
|**''[[.:topaz#n_poset_homomorphisms |n_poset_homomorphisms]]([[.:graph:Graph |Graph]]<[[.:common#Directed |Directed]]> P, [[.:graph:Graph |Graph]]<[[.:common#Directed |Directed]]> Q)''**|[[.:topaz|topaz]]|Functions|Combinatorics|
|**''[[.:polytope:Cone#N_RAY_FACET_INC |N_RAY_FACET_INC]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:fan:PolyhedralFan#N_RAY_ORBITS |N_RAY_ORBITS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Symmetry|
|**''[[.:fan:PolyhedralFan#N_RAYS |N_RAYS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Geometry|
|**''[[.:polytope:Cone#N_RAYS |N_RAYS]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:group:Action#N_RAYS_GENERATORS |N_RAYS_GENERATORS]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:polytope:Polytope#N_REPRESENTATIVE_CERTIFIERS |N_REPRESENTATIVE_CERTIFIERS]]''**|[[.:polytope|polytope]]|property of Polytope|no category|
|**''[[.:polytope:Polytope#N_REPRESENTATIVE_CORE_POINTS |N_REPRESENTATIVE_CORE_POINTS]]''**|[[.:polytope|polytope]]|property of Polytope|no category|
|**''[[.:polytope:Cone#N_RIDGES |N_RIDGES]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:polytope:QuotientSpace#N_SIMPLICES |N_SIMPLICES]]''**|[[.:polytope|polytope]]|property of QuotientSpace|Combinatorics|
|**''[[.:tropical:VoronoiDiagram#N_SITES |N_SITES]]''**|[[.:tropical|tropical]]|property of VoronoiDiagram|no category|
|**''[[.:polytope:VoronoiPolyhedron#N_SITES |N_SITES]]''**|[[.:polytope|polytope]]|property of VoronoiPolyhedron|no category|
|**''[[.:group:PermutationAction#N_STRONG_GENERATORS |N_STRONG_GENERATORS]]''**|[[.:group|group]]|property of PermutationAction|no category|
|**''[[.:fan:PolyhedralFan#N_SYMMETRIES |N_SYMMETRIES]]''**|[[.:fan|fan]]|property of PolyhedralFan|Symmetry|
|**''[[.:topaz:GeometricSimplicialComplex#N_UNIMODULAR |N_UNIMODULAR]]''**|[[.:topaz|topaz]]|property of GeometricSimplicialComplex|no category|
|**''[[.:ideal:Ideal#N_VARIABLES |N_VARIABLES]]''**|[[.:ideal|ideal]]|property of Ideal|Commutative algebra|
|**''[[.:common#UniPolynomial |n_vars]]''**|[[.:common|common]]|method of UniPolynomial|no category|
|**''[[.:common#Polynomial |n_vars]]()''**|[[.:common|common]]|method of Polynomial|no category|
|**''[[.:fan:SubdivisionOfVectors#N_VECTORS |N_VECTORS]]''**|[[.:fan|fan]]|property of SubdivisionOfVectors|Geometry|
|**''[[.:polytope:VectorConfiguration#N_VECTORS |N_VECTORS]]''**|[[.:polytope|polytope]]|property of VectorConfiguration|Geometry|
|**''[[.:polytope:Polytope#N_VERTEX_FACET_INC |N_VERTEX_FACET_INC]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:fan:PolyhedralComplex#N_VERTICES |N_VERTICES]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Geometry|
|**''[[.:topaz:SimplicialComplex#N_VERTICES |N_VERTICES]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Combinatorics|
|**''[[.:common#FacetList |n_vertices]]()''**|[[.:common|common]]|method of FacetList|no category|
|**''[[.:polytope:Polytope#N_VERTICES |N_VERTICES]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:fan:PolyhedralComplex#N_VERTICES_GENERATORS |N_VERTICES_GENERATORS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:fan:PolyhedralComplex#N_VERTICES_GENERATORS |N_VERTICES_GENERATORS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:polytope:Polytope#N_VERTICES_GENERATORS |N_VERTICES_GENERATORS]]''**|[[.:polytope|polytope]]|property of Polytope|no category|
|**''[[.:fan:PolyhedralComplex#N_VERTICES_ORBITS |N_VERTICES_ORBITS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:tropical#nearest_point |nearest_point]]([[.:tropical:Polytope |Polytope]]<Addition,Scalar> C, [[.:common#Vector |Vector]]<[[.:common#TropicalNumber |TropicalNumber]]<Addition,Scalar%%>>%% x)''**|[[.:tropical|tropical]]|Functions|Tropical operations|
|**''[[.:fulton:TDivisor#NEF |NEF]]''**|[[.:fulton|fulton]]|property of TDivisor|Algebraic Geometry|
|**''[[.:fulton:NormalToricVariety#NEF_CONE |NEF_CONE]]''**|[[.:fulton|fulton]]|property of NormalToricVariety|Algebraic Geometry|
|**''[[.:polytope:Cone#NEIGHBOR_FACETS_CYCLIC_NORMAL |NEIGHBOR_FACETS_CYCLIC_NORMAL]]''**|[[.:polytope|polytope]]|property of Cone|Visualization|
|**''[[.:polytope:Cone#NEIGHBOR_RAYS_CYCLIC_NORMAL |NEIGHBOR_RAYS_CYCLIC_NORMAL]]''**|[[.:polytope|polytope]]|property of Cone|Visualization|
|**''[[.:polytope:Polytope#NEIGHBOR_VERTICES_CYCLIC_NORMAL |NEIGHBOR_VERTICES_CYCLIC_NORMAL]]''**|[[.:polytope|polytope]]|property of Polytope|Visualization|
|**''[[.:graph#neighborhood_graph |neighborhood_graph]]([[.:common#Matrix |Matrix]]<[[.:common#Rational |Rational]]> D, [[.:common#Rational |Rational]] delta)''**|[[.:graph|graph]]|Functions|Producing a graph|
|**''[[.:polytope:Polytope#NEIGHBORLINESS |NEIGHBORLINESS]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:polytope:Polytope#NEIGHBORLY |NEIGHBORLY]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:polytope#neighborly_cubical |neighborly_cubical]]([[.:common#Int |Int]] d, [[.:common#Int |Int]] n)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:matroid:Matroid#NESTED |NESTED]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:tropical:MatroidRingCycle#NESTED_COEFFICIENTS |NESTED_COEFFICIENTS]]''**|[[.:tropical|tropical]]|property of MatroidRingCycle|Matroid data|
|**''[[.:tropical:MatroidRingCycle#nested_matroids |nested_matroids]]''**|[[.:tropical|tropical]]|method of MatroidRingCycle|Matroid data|
|**''[[.:tropical:MatroidRingCycle#NESTED_PRESENTATIONS |NESTED_PRESENTATIONS]]''**|[[.:tropical|tropical]]|property of MatroidRingCycle|Matroid data|
|**''[[.:polytope#nestedOPGraph |nestedOPGraph]]([[.:common#Vector |Vector]] gen_point, [[.:common#Matrix |Matrix]] points, [[.:common#Matrix |Matrix]] lattice_points, [[.:group:Group |Group]] group, [[.:common#Bool |Bool]] verbose)''**|[[.:polytope|polytope]]|Functions|Symmetry|
|**''[[.:polytope#newton |newton]]([[.:common#Polynomial |Polynomial]] p)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:polytope:VoronoiPolyhedron#NN_CRUST_GRAPH |NN_CRUST_GRAPH]]''**|[[.:polytope|polytope]]|property of VoronoiPolyhedron|no category|
|**''[[.:polytope:VoronoiPolyhedron#NN_GRAPH |NN_GRAPH]]''**|[[.:polytope|polytope]]|property of VoronoiPolyhedron|no category|
|**''[[.:graph:Graph#NODE_DEGREES |NODE_DEGREES]]''**|[[.:graph|graph]]|property of Graph|no category|
|**''[[.:tropical:RationalCurve#NODE_DEGREES |NODE_DEGREES]]''**|[[.:tropical|tropical]]|property of RationalCurve|Combinatorics|
|**''[[.:common#node_edge_incidences |node_edge_incidences]]<Coord>([[.:common#Graph |Graph]] graph)''**|[[.:common|common]]|Functions|Graph Operations|
|**''[[.:common#Graph |node_exists]]([[.:common#Int |Int]] node)''**|[[.:common|common]]|method of Graph|no category|
|**''[[.:graph:Graph#NODE_IN_DEGREES |NODE_IN_DEGREES]]''**|[[.:graph|graph]]|property of Graph|no category|
|**''[[.:graph:Graph#NODE_LABELS |NODE_LABELS]]''**|[[.:graph|graph]]|property of Graph|no category|
|**''[[.:graph:Graph#NODE_OUT_DEGREES |NODE_OUT_DEGREES]]''**|[[.:graph|graph]]|property of Graph|no category|
|**''[[.:common#Graph |node_out_of_range]]([[.:common#Int |Int]] node)''**|[[.:common|common]]|method of Graph|no category|
|**''[[.:common#NodeHashMap |NodeHashMap]]<Dir, Element>''**|[[.:common|common]]|Property_types|Graph Types|
|**''[[.:common#NodeMap |NodeMap]]<Dir, Element>''**|[[.:common|common]]|Property_types|Graph Types|
|**''[[.:common#Graph |nodes]]()''**|[[.:common|common]]|method of Graph|no category|
|**''[[.:common#nodes |nodes]]([[.:common#Graph |Graph]] graph)''**|[[.:common|common]]|Functions|Graph Operations|
|**''[[.:tropical:RationalCurve#NODES_BY_LEAVES |NODES_BY_LEAVES]]''**|[[.:tropical|tropical]]|property of RationalCurve|Combinatorics|
|**''[[.:tropical:RationalCurve#NODES_BY_SETS |NODES_BY_SETS]]''**|[[.:tropical|tropical]]|property of RationalCurve|Combinatorics|
|**''[[.:fan:PolyhedralFan#nodes_of_dim |nodes_of_dim]]([[.:common#Int |Int]] d)''**|[[.:fan|fan]]|method of PolyhedralFan|Combinatorics|
|**''[[.:topaz:SimplicialComplex#nodes_of_dim |nodes_of_dim]]''**|[[.:topaz|topaz]]|method of SimplicialComplex|no category|
|**''[[.:tropical:CovectorLattice#nodes_of_dim |nodes_of_dim]]''**|[[.:tropical|tropical]]|method of CovectorLattice|Combinatorics|
|**''[[.:polytope:Cone#nodes_of_dim |nodes_of_dim]]([[.:common#Int |Int]] d)''**|[[.:polytope|polytope]]|method of Cone|Combinatorics|
|**''[[.:fan:PolyhedralFan#nodes_of_dim_range |nodes_of_dim_range]]([[.:common#Int |Int]] d1, [[.:common#Int |Int]] d1)''**|[[.:fan|fan]]|method of PolyhedralFan|Combinatorics|
|**''[[.:topaz:SimplicialComplex#nodes_of_dim_range |nodes_of_dim_range]]''**|[[.:topaz|topaz]]|method of SimplicialComplex|no category|
|**''[[.:tropical:CovectorLattice#nodes_of_dim_range |nodes_of_dim_range]]''**|[[.:tropical|tropical]]|method of CovectorLattice|Combinatorics|
|**''[[.:polytope:Cone#nodes_of_dim_range |nodes_of_dim_range]]([[.:common#Int |Int]] d1, [[.:common#Int |Int]] d2)''**|[[.:polytope|polytope]]|method of Cone|Combinatorics|
|**''[[.:graph:Lattice#nodes_of_rank |nodes_of_rank]]([[.:common#Int |Int]] r)''**|[[.:graph|graph]]|method of Lattice|Combinatorics|
|**''[[.:graph#InverseRankMap |nodes_of_rank]]([[.:common#Int |Int]] r)''**|[[.:graph|graph]]|method of InverseRankMap|Combinatorics|
|**''[[.:graph:Lattice#nodes_of_rank_range |nodes_of_rank_range]]([[.:common#Int |Int]] r1, [[.:common#Int |Int]] r2)''**|[[.:graph|graph]]|method of Lattice|Combinatorics|
|**''[[.:graph#InverseRankMap |nodes_of_rank_range]]([[.:common#Int |Int]] r1, [[.:common#Int |Int]] r2)''**|[[.:graph|graph]]|method of InverseRankMap|Combinatorics|
|**''[[.:matroid:Matroid#NON_BASES |NON_BASES]]''**|[[.:matroid|matroid]]|property of Matroid|Axiom systems|
|**''[[.:matroid#non_fano_matroid |non_fano_matroid]]()''**|[[.:matroid|matroid]]|Functions|Producing a matroid from scratch|
|**''[[.:matroid#non_p8_matroid |non_p8_matroid]]()''**|[[.:matroid|matroid]]|Functions|Producing a matroid from scratch|
|**''[[.:matroid#non_pappus_matroid |non_pappus_matroid]]()''**|[[.:matroid|matroid]]|Functions|Producing a matroid from scratch|
|**''[[.:polytope:SlackIdeal#NON_SATURATED |NON_SATURATED]]''**|[[.:polytope|polytope]]|property of SlackIdeal|no category|
|**''[[.:matroid#non_vamos_matroid |non_vamos_matroid]]()''**|[[.:matroid|matroid]]|Functions|Producing a matroid from scratch|
|**''[[.:polytope:PointConfiguration#NON_VERTICES |NON_VERTICES]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Geometry|
|**''[[.:graph#Nonsequential |Nonsequential]]''**|[[.:graph|graph]]|Property_types|Artificial|
|**''[[.:common#NonSymmetric |NonSymmetric]]''**|[[.:common|common]]|Property_types|Artificial|
|**''[[.:polytope:Polytope#NOP_GRAPH |NOP_GRAPH]]''**|[[.:polytope|polytope]]|property of Polytope|no category|
|**''[[.:tropical#norm |norm]]([[.:common#Vector |Vector]]<[[.:common#TropicalNumber |TropicalNumber]]<Addition,Scalar%%>>%% v)''**|[[.:tropical|tropical]]|Functions|Tropical operations|
|**''[[.:polytope:Polytope#NORMAL |NORMAL]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in cones|
|**''[[.:polytope#normal_cone |normal_cone]]([[.:polytope:PointConfiguration |PointConfiguration]] p, [[.:common#Set |Set]]<[[.:common#Int |Int]]> F)''**|[[.:polytope|polytope]]|Functions|Producing a cone|
|**''[[.:polytope#normal_cone |normal_cone]]([[.:polytope:Cone |Cone]] p, [[.:common#Set |Set]]<[[.:common#Int |Int]]> F)''**|[[.:polytope|polytope]]|Functions|Producing a cone|
|**''[[.:fan#normal_fan |normal_fan]]<Coord>([[.:polytope:Polytope |Polytope]] p)''**|[[.:fan|fan]]|Functions|Producing a fan|
|**''[[.:polytope#normaliz_compute |normaliz_compute]]([[.:polytope:Cone |Cone]] C)''**|[[.:polytope|polytope]]|Functions|Geometry|
|**''[[.:common#normalized |normalized]]([[.:common#Matrix |Matrix]]<[[.:common#Float |Float]]> A)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:fulton:NormalToricVariety#NormalToricVariety |NormalToricVariety]]''**|[[.:fulton|fulton]]|Objects|no category|
|**''[[.:common#null_space |null_space]]([[.:common#Matrix |Matrix]] A)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:common#null_space |null_space]]([[.:common#Vector |Vector]] b)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:common#null_space_integer |null_space_integer]]([[.:common#Matrix |Matrix]] A)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:common#numbered |numbered]]([[.:common#Vector |Vector]] data)''**|[[.:common|common]]|Functions|Formatting|
|**''[[.:common#numerator |numerator]]([[.:common#Rational |Rational]] a)''**|[[.:common|common]]|Functions|Arithmetic|
|**''[[.:common#numerator |numerator]]([[.:common#RationalFunction |RationalFunction]] f)''**|[[.:common|common]]|Functions|Arithmetic|
|**''[[.:common#numerator |numerator]]([[.:common#PuiseuxFraction |PuiseuxFraction]] f)''**|[[.:common|common]]|Functions|Arithmetic|
|**''[[.:tropical:RationalFunction#NUMERATOR |NUMERATOR]]''**|[[.:tropical|tropical]]|property of RationalFunction|Defining morphisms and functions|
|**''[[.:matroid#o7_matroid |o7_matroid]]()''**|[[.:matroid|matroid]]|Functions|Producing a matroid from scratch|
|**''[[.:core#obliterate_extension |obliterate_extension]]([[.:common#String |String]] path)''**|[[.:core|core]]|Functions|Interactive|
|**''[[.:polytope#occluding_cone |occluding_cone]]([[.:polytope:Cone |Cone]] P, [[.:common#Set |Set]] F)''**|[[.:polytope|polytope]]|Functions|Geometry|
|**''[[.:polytope#octahedron |octahedron]]()''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:topaz:SimplicialComplex#ODD_SUBCOMPLEX |ODD_SUBCOMPLEX]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Combinatorics|
|**''[[.:group#on_cols |on_cols]]''**|[[.:group|group]]|Property_types|no category|
|**''[[.:group#on_container |on_container]]''**|[[.:group|group]]|Property_types|no category|
|**''[[.:group#on_elements |on_elements]]''**|[[.:group|group]]|Property_types|no category|
|**''[[.:group#on_nonhomog_cols |on_nonhomog_cols]]''**|[[.:group|group]]|Property_types|no category|
|**''[[.:group#on_nonhomog_container |on_nonhomog_container]]''**|[[.:group|group]]|Property_types|no category|
|**''[[.:group#on_rows |on_rows]]''**|[[.:group|group]]|Property_types|no category|
|**''[[.:polytope:Cone#ONE_RAY |ONE_RAY]]''**|[[.:polytope|polytope]]|property of Cone|Geometry|
|**''[[.:polytope:Polytope#ONE_VERTEX |ONE_VERTEX]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:common#ones_matrix |ones_matrix]]<Element>([[.:common#Int |Int]] m, [[.:common#Int |Int]] n)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:common#ones_vector |ones_vector]]<Element>([[.:common#Int |Int]] d)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:tropical#optimal_permutations |optimal_permutations]]([[.:common#Matrix |Matrix]]<[[.:common#TropicalNumber |TropicalNumber]]> matrix)''**|[[.:tropical|tropical]]|Functions|Tropical operations|
|**''[[.:fulton:NormalToricVariety#ORBIFOLD |ORBIFOLD]]''**|[[.:fulton|fulton]]|property of NormalToricVariety|Basic properties|
|**''[[.:group#orbit |orbit]]<action_type>([[.:common#Array |Array]] G, [[.:core:Core_Object |Core::Object]] O)''**|[[.:group|group]]|Functions|Orbits|
|**''[[.:group#orbit |orbit]]([[.:group:Group |Group]] G, Any C)''**|[[.:group|group]]|Functions|Orbits|
|**''[[.:group#orbit |orbit]]<Scalar>([[.:common#Array |Array]]<[[.:common#Matrix |Matrix]]<Scalar%%>>%% G, [[.:common#Vector |Vector]]<Scalar> V)''**|[[.:group|group]]|Functions|Orbits|
|**''[[.:fan#orbit_complex |orbit_complex]]([[.:fan:PolyhedralComplex |PolyhedralComplex]] input_complex, [[.:common#Array |Array]]<[[.:common#Array |Array]]<[[.:common#Int |Int]]%%>>%% gens)''**|[[.:fan|fan]]|Functions|Symmetry|
|**''[[.:fan#orbit_complex |orbit_complex]]([[.:fan:PolyhedralFan |PolyhedralFan]] input_fan, [[.:group:PermutationAction |PermutationAction]] a)''**|[[.:fan|fan]]|Functions|Symmetry|
|**''[[.:fan#orbit_fan |orbit_fan]]([[.:fan:PolyhedralFan |PolyhedralFan]] input_fan, [[.:common#Array |Array]]<[[.:common#Array |Array]]<[[.:common#Int |Int]]%%>>%% gens)''**|[[.:fan|fan]]|Functions|Symmetry|
|**''[[.:fan#orbit_fan |orbit_fan]]<Scalar>([[.:fan:PolyhedralFan |PolyhedralFan]] input_fan, [[.:common#Array |Array]]<[[.:common#Matrix |Matrix]]<Scalar%%>>%% gens)''**|[[.:fan|fan]]|Functions|Symmetry|
|**''[[.:group#orbit_permlib |orbit_permlib]]([[.:group:Group |Group]] G, [[.:common#Set |Set]] S)''**|[[.:group|group]]|Functions|Orbits|
|**''[[.:group#orbit_permlib |orbit_permlib]]([[.:group:Group |Group]] G, [[.:common#Set |Set]]<[[.:common#Set |Set]]> S)''**|[[.:group|group]]|Functions|Orbits|
|**''[[.:polytope#orbit_polytope |orbit_polytope]]([[.:common#Vector |Vector]] input_point, [[.:group:PermutationAction |PermutationAction]] a)''**|[[.:polytope|polytope]]|Functions|Symmetry|
|**''[[.:polytope#orbit_polytope |orbit_polytope]]([[.:common#Matrix |Matrix]] input_points, [[.:group:PermutationAction |PermutationAction]] a)''**|[[.:polytope|polytope]]|Functions|Symmetry|
|**''[[.:polytope#orbit_polytope |orbit_polytope]]([[.:common#Vector |Vector]] input_point, [[.:group:Group |Group]] g)''**|[[.:polytope|polytope]]|Functions|Symmetry|
|**''[[.:polytope#orbit_polytope |orbit_polytope]]([[.:common#Matrix |Matrix]] input_points, [[.:group:Group |Group]] g)''**|[[.:polytope|polytope]]|Functions|Symmetry|
|**''[[.:polytope#orbit_polytope |orbit_polytope]]([[.:common#Matrix |Matrix]] input_points, [[.:common#Array |Array]]<[[.:common#Array |Array]]<[[.:common#Int |Int]]%%>>%% gens)''**|[[.:polytope|polytope]]|Functions|Symmetry|
|**''[[.:polytope#orbit_polytope |orbit_polytope]]<Scalar>([[.:common#Vector |Vector]] input_point, [[.:group:MatrixActionOnVectors |MatrixActionOnVectors]] a)''**|[[.:polytope|polytope]]|Functions|Symmetry|
|**''[[.:polytope#orbit_polytope |orbit_polytope]]<Scalar>([[.:common#Matrix |Matrix]]<Scalar> input_points, [[.:group:MatrixActionOnVectors |MatrixActionOnVectors]]<Scalar> a)''**|[[.:polytope|polytope]]|Functions|Symmetry|
|**''[[.:group:Action#ORBIT_REPRESENTATIVE_LABELS |ORBIT_REPRESENTATIVE_LABELS]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:group:Action#ORBIT_REPRESENTATIVES |ORBIT_REPRESENTATIVES]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:group#orbit_representatives |orbit_representatives]]([[.:common#Array |Array]]<GeneratorType> G)''**|[[.:group|group]]|Functions|Orbits|
|**''[[.:group#orbit_reps_and_sizes |orbit_reps_and_sizes]]<Container>([[.:common#Array |Array]]<[[.:common#Array |Array]]<[[.:common#Int |Int]]%%>>%% generators, Container S)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:group:Action#ORBIT_SIZES |ORBIT_SIZES]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:group:Action#ORBITS |ORBITS]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:fan:PolyhedralFan#ORBITS_F_VECTOR |ORBITS_F_VECTOR]]''**|[[.:fan|fan]]|property of PolyhedralFan|Symmetry|
|**''[[.:group#orbits_in_orbit_order |orbits_in_orbit_order]]([[.:group:PermutationAction |PermutationAction]] a, [[.:common#Matrix |Matrix]] M)''**|[[.:group|group]]|Functions|Orbits|
|**''[[.:group#orbits_of_action |orbits_of_action]]([[.:group:PermutationAction |PermutationAction]] a)''**|[[.:group|group]]|Functions|Orbits|
|**''[[.:group#orbits_of_coordinate_action |orbits_of_coordinate_action]]([[.:group:PermutationAction |PermutationAction]] a, [[.:common#Matrix |Matrix]]<Scalar> M)''**|[[.:group|group]]|Functions|Orbits|
|**''[[.:group#orbits_of_induced_action |orbits_of_induced_action]]([[.:group:PermutationAction |PermutationAction]] a, [[.:common#IncidenceMatrix |IncidenceMatrix]] I)''**|[[.:group|group]]|Functions|Orbits|
|**''[[.:group:Group#ORDER |ORDER]]''**|[[.:group|group]]|property of Group|Symmetry|
|**''[[.:ideal:Groebner#ORDER_MATRIX |ORDER_MATRIX]]''**|[[.:ideal|ideal]]|property of Groebner|Input properties|
|**''[[.:ideal:Groebner#ORDER_NAME |ORDER_NAME]]''**|[[.:ideal|ideal]]|property of Groebner|Input properties|
|**''[[.:ideal:Groebner#ORDER_VECTOR |ORDER_VECTOR]]''**|[[.:ideal|ideal]]|property of Groebner|Input properties|
|**''[[.:topaz:SimplicialComplex#ORIENTATION |ORIENTATION]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Topology|
|**''[[.:common#Min |orientation]]''**|[[.:common|common]]|method of Min|no category|
|**''[[.:common#Max |orientation]]''**|[[.:common|common]]|method of Max|no category|
|**''[[.:common#TropicalNumber |orientation]]()''**|[[.:common|common]]|method of TropicalNumber|no category|
|**''[[.:topaz:SimplicialComplex#ORIENTED_PSEUDO_MANIFOLD |ORIENTED_PSEUDO_MANIFOLD]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Topology|
|**''[[.:polytope:AffineLattice#ORIGIN |ORIGIN]]''**|[[.:polytope|polytope]]|property of AffineLattice|no category|
|**''[[.:fan:PolyhedralFan#ORTH_LINEALITY_SPACE |ORTH_LINEALITY_SPACE]]''**|[[.:fan|fan]]|property of PolyhedralFan|Geometry|
|**''[[.:tropical#orthant_subdivision |orthant_subdivision]]<Addition>([[.:common#Vector |Vector]]<[[.:common#Rational |Rational]]> point, [[.:common#Int |Int]] chart, [[.:common#Integer |Integer]] weight)''**|[[.:tropical|tropical]]|Functions|Creation functions for specific cycles|
|**''[[.:polytope#orthantify |orthantify]]([[.:polytope:Polytope |Polytope]] P, [[.:common#Int |Int]] v)''**|[[.:polytope|polytope]]|Functions|Transformations|
|**''[[.:polytope#ortho_project |ortho_project]]([[.:polytope:Polytope |Polytope]] p)''**|[[.:polytope|polytope]]|Functions|Symmetry|
|**''[[.:polytope#orthonormal_col_basis |orthonormal_col_basis]]([[.:common#Matrix |Matrix]] M)''**|[[.:polytope|polytope]]|Functions|Transformations|
|**''[[.:polytope#orthonormal_row_basis |orthonormal_row_basis]]([[.:common#Matrix |Matrix]] M)''**|[[.:polytope|polytope]]|Functions|Transformations|
|**''[[.:common#Graph |out_adjacent_nodes]]([[.:common#Int |Int]] node)''**|[[.:common|common]]|method of Graph|no category|
|**''[[.:common#Graph |out_degree]]([[.:common#Int |Int]] node)''**|[[.:common|common]]|method of Graph|no category|
|**''[[.:common#Graph |out_edges]]([[.:common#Int |Int]] node)''**|[[.:common|common]]|method of Graph|no category|
|**''[[.:polytope:Polytope#OUTER_DESCRIPTION |OUTER_DESCRIPTION]]()''**|[[.:polytope|polytope]]|method of Polytope|Geometry|
|**''[[.:topaz#outitudes |outitudes]]([[.:common#Array |Array]]<[[.:common#Array |Array]]<[[.:common#Int |Int]]%%>>%% dcel_data)''**|[[.:topaz|topaz]]|Functions|Other|
|**''[[.:topaz#outitudes |outitudes]]([[.:common#String |String]] surface)''**|[[.:topaz|topaz]]|Functions|Other|
|**''[[.:common#ExtGCD |p]]()''**|[[.:common|common]]|method of ExtGCD|no category|
|**''[[.:matroid#p7_matroid |p7_matroid]]()''**|[[.:matroid|matroid]]|Functions|Producing a matroid from scratch|
|**''[[.:matroid#p8_matroid |p8_matroid]]()''**|[[.:matroid|matroid]]|Functions|Producing a matroid from scratch|
|**''[[.:fulton:VersalComponent#P_RESOLUTION |P_RESOLUTION]]''**|[[.:fulton|fulton]]|property of VersalComponent|Combinatorics|
|**''[[.:common#Pair |Pair]]<First, Second>''**|[[.:common|common]]|Property_types|Basic Types|
|**''[[.:matroid#pappus_matroid |pappus_matroid]]()''**|[[.:matroid|matroid]]|Functions|Producing a matroid from scratch|
|**''[[.:matroid#parallel_extension |parallel_extension]]([[.:matroid:Matroid |Matroid]] m_1, [[.:common#Int |Int]] e_1, [[.:matroid:Matroid |Matroid]] m_2, [[.:common#Int |Int]] e_2)''**|[[.:matroid|matroid]]|Functions|Producing a matroid from matroids|
|**''[[.:matroid#parallel_extension |parallel_extension]]([[.:matroid:Matroid |Matroid]] m, [[.:common#Int |Int]] e)''**|[[.:matroid|matroid]]|Functions|Producing a matroid from matroids|
|**''[[.:group#partition_representatives |partition_representatives]]([[.:common#Array |Array]]<[[.:common#Array |Array]]<[[.:common#Int |Int]]%%>>%% gens, [[.:common#Set |Set]]<[[.:common#Int |Int]]> S)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:tropical:Hypersurface#PATCHWORK |PATCHWORK]]''**|[[.:tropical|tropical]]|property of Hypersurface|Combinatorics|
|**''[[.:tropical:Patchwork#Patchwork |Patchwork]]''**|[[.:tropical|tropical]]|Objects|no category|
|**''[[.:graph#path_graph |path_graph]]([[.:common#Int |Int]] n)''**|[[.:graph|graph]]|Functions|Producing a graph|
|**''[[.:matroid:Matroid#PAVING |PAVING]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:topaz:HyperbolicSurface#PENNER_COORDINATES |PENNER_COORDINATES]]''**|[[.:topaz|topaz]]|property of HyperbolicSurface|no category|
|**''[[.:polytope#perles_irrational_8_polytope |perles_irrational_8_polytope]]()''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:common:PermBase#PermBase |PermBase]]''**|[[.:common|common]]|Objects|Combinatorics|
|**''[[.:polytope#permutahedron |permutahedron]]([[.:common#Int |Int]] d)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:common:PermBase#PERMUTATION |PERMUTATION]]''**|[[.:common|common]]|property of PermBase|no category|
|**''[[.:group:Group#PERMUTATION_ACTION |PERMUTATION_ACTION]]''**|[[.:group|group]]|property of Group|Symmetry|
|**''[[.:common#permutation_cycle_lengths |permutation_cycle_lengths]]([[.:common#Array |Array]]<[[.:common#Int |Int]]> p)''**|[[.:common|common]]|Functions|Combinatorics|
|**''[[.:common#permutation_cycles |permutation_cycles]]([[.:common#Array |Array]]<[[.:common#Int |Int]]> p)''**|[[.:common|common]]|Functions|Combinatorics|
|**''[[.:common#permutation_matrix |permutation_matrix]]<Scalar>([[.:common#Array |Array]]<[[.:common#Int |Int]]> p)''**|[[.:common|common]]|Functions|Combinatorics|
|**''[[.:common#permutation_order |permutation_order]]([[.:common#Array |Array]]<[[.:common#Int |Int]]> p)''**|[[.:common|common]]|Functions|Combinatorics|
|**''[[.:common#permutation_sign |permutation_sign]]([[.:common#Array |Array]]<[[.:common#Int |Int]]> p)''**|[[.:common|common]]|Functions|Combinatorics|
|**''[[.:group:Action#PERMUTATION_TO_ORBIT_ORDER |PERMUTATION_TO_ORBIT_ORDER]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:group:PermutationAction#PermutationAction |PermutationAction]]''**|[[.:group|group]]|Objects|no category|
|**''[[.:group:PermutationActionOnSets#PermutationActionOnSets |PermutationActionOnSets]]''**|[[.:group|group]]|Objects|no category|
|**''[[.:common#Graph |permute_inv_nodes]]''**|[[.:common|common]]|method of Graph|no category|
|**''[[.:common#Graph |permute_nodes]]''**|[[.:common|common]]|method of Graph|no category|
|**''[[.:common#Plucker |permuted]]''**|[[.:common|common]]|method of Plucker|no category|
|**''[[.:topaz#persistent_homology |persistent_homology]]([[.:topaz#Filtration |Filtration]]<[[.:common#Matrix |Matrix]]<//Scalar//%%>>%% F, [[.:common#Int |Int]] i, [[.:common#Int |Int]] p, [[.:common#Int |Int]] k)''**|[[.:topaz|topaz]]|Functions|Other|
|**''[[.:topaz#persistent_homology |persistent_homology]]([[.:topaz#Filtration |Filtration]] F)''**|[[.:topaz|topaz]]|Functions|Other|
|**''[[.:common#perturb_matrix |perturb_matrix]]([[.:common#Matrix |Matrix]] M, [[.:common#Float |Float]] eps, [[.:common#Bool |Bool]] not_hom)''**|[[.:common|common]]|Functions|Utilities|
|**''[[.:polytope#perturbed_long_and_winding |perturbed_long_and_winding]]([[.:common#Int |Int]] r)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:graph#petersen |petersen]]()''**|[[.:graph|graph]]|Functions|Producing a graph|
|**''[[.:matroid#pg23_matroid |pg23_matroid]]()''**|[[.:matroid|matroid]]|Functions|Producing a matroid from scratch|
|**''[[.:tropical#piecewise_divisor |piecewise_divisor]]([[.:tropical:Cycle |Cycle]]<Addition> F, [[.:common#IncidenceMatrix |IncidenceMatrix]] cones, [[.:common#Vector |Vector]]<[[.:common#Integer |Integer]]> coefficients)''**|[[.:tropical|tropical]]|Functions|Divisor computation|
|**''[[.:polytope:PointConfiguration#PIF_CYCLIC_NORMAL |PIF_CYCLIC_NORMAL]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Visualization|
|**''[[.:polytope#pile |pile]]([[.:common#Vector |Vector]]<[[.:common#Int |Int]]> sizes)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:topaz#pl_homeomorphic |pl_homeomorphic]]([[.:topaz:SimplicialComplex |SimplicialComplex]] complex1, [[.:topaz:SimplicialComplex |SimplicialComplex]] complex2)''**|[[.:topaz|topaz]]|Functions|Comparing|
|**''[[.:polytope#placing_triangulation |placing_triangulation]]([[.:common#Matrix |Matrix]] Points)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:fan#planar_net |planar_net]]([[.:polytope:Polytope |Polytope]] p)''**|[[.:fan|fan]]|Functions|Producing a fan|
|**''[[.:fan:PlanarNet#PlanarNet |PlanarNet]]<Scalar>''**|[[.:fan|fan]]|Objects|Geometry|
|**''[[.:polytope#platonic_solid |platonic_solid]]([[.:common#String |String]] s)''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:common#Plucker |Plucker]]<Scalar>''**|[[.:common|common]]|Property_types|Algebraic Types|
|**''[[.:common#pluecker |pluecker]]([[.:common#Matrix |Matrix]] V)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:ideal#pluecker_ideal |pluecker_ideal]]([[.:common#Int |Int]] d, [[.:common#Int |Int]] n)''**|[[.:ideal|ideal]]|Functions|Producing an ideal from scratch|
|**''[[.:tropical#point_collection |point_collection]]<Addition>([[.:common#Matrix |Matrix]]<[[.:common#Rational |Rational]]> points, [[.:common#Vector |Vector]]<[[.:common#Integer |Integer]]> weights)''**|[[.:tropical|tropical]]|Functions|Creation functions for specific cycles|
|**''[[.:tropical#point_functions |point_functions]]<Addition>([[.:common#Vector |Vector]]<[[.:common#Rational |Rational]]> A)''**|[[.:tropical|tropical]]|Functions|Intersection theory|
|**''[[.:fan:SubdivisionOfPoints#POINT_LABELS |POINT_LABELS]]''**|[[.:fan|fan]]|property of SubdivisionOfPoints|Visualization|
|**''[[.:fan:PolyhedralComplex#POINT_LABELS |POINT_LABELS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Visualization|
|**''[[.:polytope:Polytope#POINT_LABELS |POINT_LABELS]]''**|[[.:polytope|polytope]]|property of Polytope|Visualization|
|**''[[.:polytope:PointConfiguration#POINT_LABELS |POINT_LABELS]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Visualization|
|**''[[.:polytope:PointConfiguration#PointConfiguration |PointConfiguration]]<Scalar>''**|[[.:polytope|polytope]]|Objects|no category|
|**''[[.:fan:PolyhedralFan#POINTED |POINTED]]''**|[[.:fan|fan]]|property of PolyhedralFan|Geometry|
|**''[[.:polytope:Polytope#POINTED |POINTED]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope:Cone#POINTED |POINTED]]''**|[[.:polytope|polytope]]|property of Cone|Geometry|
|**''[[.:polytope#pointed_part |pointed_part]]([[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:fan:SubdivisionOfPoints#POINTS |POINTS]]''**|[[.:fan|fan]]|property of SubdivisionOfPoints|Geometry|
|**''[[.:fan:PolyhedralComplex#POINTS |POINTS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Input property|
|**''[[.:tropical:Polytope#POINTS |POINTS]]''**|[[.:tropical|tropical]]|property of Polytope|Geometry|
|**''[[.:polytope:Polytope#POINTS |POINTS]]''**|[[.:polytope|polytope]]|property of Polytope|Input property|
|**''[[.:polytope:PointConfiguration#POINTS |POINTS]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Input property|
|**''[[.:tropical#points2hypersurface |points2hypersurface]]([[.:common#Matrix |Matrix]]<[[.:common#TropicalNumber |TropicalNumber]]<Addition%%>>%% points)''**|[[.:tropical|tropical]]|Functions|Producing a tropical hypersurface|
|**''[[.:polytope#points2metric |points2metric]]([[.:common#Matrix |Matrix]] points)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:fan:PolyhedralComplex#POINTS_ACTION |POINTS_ACTION]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:polytope:Polytope#POINTS_ACTION |POINTS_ACTION]]''**|[[.:polytope|polytope]]|property of Polytope|Symmetry|
|**''[[.:polytope:PointConfiguration#POINTS_ACTION |POINTS_ACTION]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Symmetry|
|**''[[.:fan:PolyhedralComplex#POINTS_GENERATORS |POINTS_GENERATORS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:fan:PolyhedralComplex#POINTS_GENERATORS |POINTS_GENERATORS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:polytope:Polytope#POINTS_GENERATORS |POINTS_GENERATORS]]''**|[[.:polytope|polytope]]|property of Polytope|no category|
|**''[[.:polytope:Polytope#POINTS_IN_FACETS |POINTS_IN_FACETS]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:tropical#points_in_pseudovertices |points_in_pseudovertices]]([[.:common#Matrix |Matrix]]<[[.:common#TropicalNumber |TropicalNumber]]<Addition,Scalar%%>>%% points, [[.:common#Matrix |Matrix]]<Scalar> pseudovertices)''**|[[.:tropical|tropical]]|Functions|Other|
|**''[[.:polytope:PointConfiguration#POINTS_ORBITS |POINTS_ORBITS]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Symmetry|
|**''[[.:fan:PolyhedralComplex#POINTS_REPS |POINTS_REPS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:polytope:Polytope#POLAR_SMOOTH |POLAR_SMOOTH]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in cones|
|**''[[.:polytope#polarize |polarize]]([[.:polytope:Cone |Cone]] C)''**|[[.:polytope|polytope]]|Functions|Transformations|
|**''[[.:fulton#polarized_toric_variety |polarized_toric_variety]]([[.:polytope:Polytope |Polytope]]<[[.:common#Rational |Rational]]> P, [[.:common#String |String]] name)''**|[[.:fulton|fulton]]|Functions|Producing a normal toric variety|
|**''[[.:polytope#poly2lp |poly2lp]]([[.:polytope:Polytope |Polytope]] P, [[.:polytope:LinearProgram |LinearProgram]] LP, [[.:common#Bool |Bool]] maximize, [[.:common#String |String]] file)''**|[[.:polytope|polytope]]|Functions|Optimization|
|**''[[.:polytope#poly2metric |poly2metric]]([[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope#poly2porta |poly2porta]]([[.:polytope:Polytope |Polytope]]<[[.:common#Rational |Rational]]> p, [[.:common#String |String]] file)''**|[[.:polytope|polytope]]|Functions|Optimization|
|**''[[.:fan:SubdivisionOfPoints#POLYHEDRAL_COMPLEX |POLYHEDRAL_COMPLEX]]''**|[[.:fan|fan]]|property of SubdivisionOfPoints|Geometry|
|**''[[.:fan:PolyhedralComplex#PolyhedralComplex |PolyhedralComplex]]<Scalar>''**|[[.:fan|fan]]|Objects|Geometry|
|**''[[.:fan:PolyhedralFan#PolyhedralFan |PolyhedralFan]]<Scalar>''**|[[.:fan|fan]]|Objects|Geometry|
|**''[[.:common#Polynomial |Polynomial]]<Coefficient, Exponent>''**|[[.:common|common]]|Property_types|Algebraic Types|
|**''[[.:tropical:Hypersurface#POLYNOMIAL |POLYNOMIAL]]''**|[[.:tropical|tropical]]|property of Hypersurface|no category|
|**''[[.:tropical:LinesInCubic#POLYNOMIAL |POLYNOMIAL]]''**|[[.:tropical|tropical]]|property of LinesInCubic|Defining properties|
|**''[[.:polytope:Polytope#POLYTOPAL_SUBDIVISION |POLYTOPAL_SUBDIVISION]]''**|[[.:polytope|polytope]]|property of Polytope|Triangulation and volume|
|**''[[.:polytope:PointConfiguration#POLYTOPAL_SUBDIVISION |POLYTOPAL_SUBDIVISION]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Triangulation and volume|
|**''[[.:polytope:Visual_PointConfiguration#POLYTOPAL_SUBDIVISION |POLYTOPAL_SUBDIVISION]]([[.:common#Int |Int]] index)''**|[[.:polytope|polytope]]|method of Visual::PointConfiguration|no category|
|**''[[.:fan:PolyhedralComplex#polytope |polytope]]([[.:common#Int |Int]] i)''**|[[.:fan|fan]]|method of PolyhedralComplex|Geometry|
|**''[[.:fan:PlanarNet#POLYTOPE |POLYTOPE]]''**|[[.:fan|fan]]|property of PlanarNet|Geometry|
|**''[[.:tropical:Polytope#Polytope |Polytope]]<Addition, Scalar>''**|[[.:tropical|tropical]]|Objects|no category|
|**''[[.:matroid:Matroid#POLYTOPE |POLYTOPE]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:polytope:Polytope#Polytope |Polytope]]<Scalar>''**|[[.:polytope|polytope]]|Objects|no category|
|**''[[.:tropical:Polytope#POLYTOPE_COVECTOR_DECOMPOSITION |POLYTOPE_COVECTOR_DECOMPOSITION]]''**|[[.:tropical|tropical]]|property of Polytope|Combinatorics|
|**''[[.:polytope:Polytope#POLYTOPE_IN_STD_BASIS |POLYTOPE_IN_STD_BASIS]]([[.:polytope:Polytope |Polytope]]<[[.:common#Rational |Rational]]> P)''**|[[.:polytope|polytope]]|method of Polytope|Lattice points in cones|
|**''[[.:tropical:Polytope#POLYTOPE_MAXIMAL_COVECTOR_CELLS |POLYTOPE_MAXIMAL_COVECTOR_CELLS]]''**|[[.:tropical|tropical]]|property of Polytope|Combinatorics|
|**''[[.:tropical:Polytope#POLYTOPE_MAXIMAL_COVECTORS |POLYTOPE_MAXIMAL_COVECTORS]]''**|[[.:tropical|tropical]]|property of Polytope|Combinatorics|
|**''[[.:fulton#polytope_of_divisor_class |polytope_of_divisor_class]]''**|[[.:fulton|fulton]]|Functions|Combinatorics|
|**''[[.:tropical:Polytope#polytope_subdivision_as_complex |polytope_subdivision_as_complex]]([[.:common#Int |Int]] chart)''**|[[.:tropical|tropical]]|method of Polytope|Geometry|
|**''[[.:fan:PolyhedralComplex#POLYTOPES |POLYTOPES]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Combinatorics|
|**''[[.:fan:PolyhedralComplex#POLYTOPES_ORBIT_SIZES |POLYTOPES_ORBIT_SIZES]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:fan:PolyhedralComplex#POLYTOPES_REPS |POLYTOPES_REPS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:tropical:VoronoiDiagram#POLYTROPE_PARTITION |POLYTROPE_PARTITION]]''**|[[.:tropical|tropical]]|property of VoronoiDiagram|no category|
|**''[[.:polytope#porta2poly |porta2poly]]([[.:common#String |String]] file)''**|[[.:polytope|polytope]]|Functions|Optimization|
|**''[[.:topaz#poset_by_inclusion |poset_by_inclusion]]([[.:common#Array |Array]]<T> P)''**|[[.:topaz|topaz]]|Functions|Other|
|**''[[.:topaz#poset_homomorphisms |poset_homomorphisms]]([[.:graph:Graph |Graph]]<[[.:common#Directed |Directed]]> P, [[.:graph:Graph |Graph]]<[[.:common#Directed |Directed]]> Q)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:polytope:VectorConfiguration#POSITIVE |POSITIVE]]''**|[[.:polytope|polytope]]|property of VectorConfiguration|Geometry|
|**''[[.:polytope:Cone#POSITIVE |POSITIVE]]''**|[[.:polytope|polytope]]|property of Cone|Geometry|
|**''[[.:polytope#positive_circuits |positive_circuits]]([[.:polytope:Polytope |Polytope]] or, [[.:common#Set |Set]]<[[.:common#Int |Int]]> S)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:matroid#positroid_from_decorated_permutation |positroid_from_decorated_permutation]]([[.:common#Array |Array]]<[[.:common#Int |Int]]> perm, [[.:common#Set |Set]]<[[.:common#Int |Int]]> loops)''**|[[.:matroid|matroid]]|Functions|Producing a matroid from other objects|
|**''[[.:common#postscript |postscript]]([[.:common:Visual_Object |Visual::Object]] vis_obj ...)''**|[[.:common|common]]|Functions|Visualization|
|**''[[.:common#povray |povray]]([[.:common:Visual_Object |Visual::Object]] vis_obj ...)''**|[[.:common|common]]|Functions|Visualization|
|**''[[.:tropical:RationalFunction#POWER |POWER]]''**|[[.:tropical|tropical]]|property of RationalFunction|Defining morphisms and functions|
|**''[[.:common#PowerSet |PowerSet]]<Element>''**|[[.:common|common]]|Property_types|Set Types|
|**''[[.:core#prefer |prefer]]([[.:common#String |String]] label_expression)''**|[[.:core|core]]|Functions|Basic|
|**''[[.:core#prefer_now |prefer_now]]([[.:common#String |String]] label_expression)''**|[[.:core|core]]|Functions|Basic|
|**''[[.:ideal:Ideal#PRIMARY |PRIMARY]]''**|[[.:ideal|ideal]]|property of Ideal|Commutative algebra|
|**''[[.:ideal:Ideal#PRIMARY_DECOMPOSITION |PRIMARY_DECOMPOSITION]]''**|[[.:ideal|ideal]]|property of Ideal|Commutative algebra|
|**''[[.:ideal:Ideal#PRIME |PRIME]]''**|[[.:ideal|ideal]]|property of Ideal|Commutative algebra|
|**''[[.:common#primitive |primitive]]([[.:common#Vector |Vector]] v)''**|[[.:common|common]]|Functions|Lattice Tools|
|**''[[.:common#primitive |primitive]]([[.:common#Matrix |Matrix]] M)''**|[[.:common|common]]|Functions|Lattice Tools|
|**''[[.:common#primitive_affine |primitive_affine]]([[.:common#Vector |Vector]] v)''**|[[.:common|common]]|Functions|Lattice Tools|
|**''[[.:common#primitive_affine |primitive_affine]]([[.:common#Matrix |Matrix]] M)''**|[[.:common|common]]|Functions|Lattice Tools|
|**''[[.:fulton:TDivisor#PRINCIPAL |PRINCIPAL]]''**|[[.:fulton|fulton]]|property of TDivisor|Algebraic Geometry|
|**''[[.:matroid#principal_extension |principal_extension]]([[.:matroid:Matroid |Matroid]] M, [[.:common#Set |Set]]<[[.:common#Int |Int]]> F)''**|[[.:matroid|matroid]]|Functions|Producing a matroid from matroids|
|**''[[.:matroid#principal_lift |principal_lift]]([[.:matroid:Matroid |Matroid]] M, [[.:common#Set |Set]]<[[.:common#Int |Int]]> F)''**|[[.:matroid|matroid]]|Functions|Producing a matroid from matroids|
|**''[[.:tropical#principal_solution |principal_solution]]([[.:common#Matrix |Matrix]]<[[.:common#TropicalNumber |TropicalNumber]]> A, [[.:common#Vector |Vector]]<[[.:common#TropicalNumber |TropicalNumber]]> b)''**|[[.:tropical|tropical]]|Functions|Tropical operations|
|**''[[.:matroid#principal_truncation |principal_truncation]]([[.:matroid:Matroid |Matroid]] M, [[.:common#Set |Set]]<[[.:common#Int |Int]]> F)''**|[[.:matroid|matroid]]|Functions|Producing a matroid from matroids|
|**''[[.:common#print_constraints |print_constraints]]([[.:common#Matrix |Matrix]]<Scalar> M)''**|[[.:common|common]]|Functions|Formatting|
|**''[[.:polytope#print_constraints |print_constraints]]([[.:polytope:Cone |Cone]]<Scalar> C)''**|[[.:polytope|polytope]]|Functions|Optimization|
|**''[[.:polytope#print_face_lattice |print_face_lattice]]([[.:common#IncidenceMatrix |IncidenceMatrix]] VIF, [[.:common#Bool |Bool]] dual)''**|[[.:polytope|polytope]]|Functions|Geometry|
|**''[[.:common#UniPolynomial |print_ordered]](Exponent x)''**|[[.:common|common]]|method of UniPolynomial|no category|
|**''[[.:common#Polynomial |print_ordered]]([[.:common#Matrix |Matrix]] m)''**|[[.:common|common]]|method of Polynomial|no category|
|**''[[.:polytope#prism |prism]]([[.:polytope:Polytope |Polytope]] P, Scalar z1, Scalar z2)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:fan#product |product]]([[.:fan:PolyhedralFan |PolyhedralFan]] F1, [[.:fan:PolyhedralFan |PolyhedralFan]] F2)''**|[[.:fan|fan]]|Functions|Producing a fan|
|**''[[.:polytope#product |product]]([[.:polytope:Polytope |Polytope]] P1, [[.:polytope:Polytope |Polytope]] P2)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:topaz:SimplicialComplex#PROJ_DICTIONARY |PROJ_DICTIONARY]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Combinatorics|
|**''[[.:topaz:SimplicialComplex#PROJ_ORBITS |PROJ_ORBITS]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Combinatorics|
|**''[[.:common#Polynomial |project]]()''**|[[.:common|common]]|method of Polynomial|no category|
|**''[[.:fan#project_full |project_full]]([[.:fan:PolyhedralFan |PolyhedralFan]] P)''**|[[.:fan|fan]]|Functions|Producing a fan|
|**''[[.:polytope#project_full |project_full]]<Scalar>([[.:polytope:VectorConfiguration |VectorConfiguration]] P)''**|[[.:polytope|polytope]]|Functions|Producing a vector configuration|
|**''[[.:polytope#project_full |project_full]]([[.:polytope:Cone |Cone]] P)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:polytope#project_out |project_out]]<Scalar>([[.:polytope:VectorConfiguration |VectorConfiguration]] V, [[.:common#Matrix |Matrix]] B)''**|[[.:polytope|polytope]]|Functions|Producing a vector configuration|
|**''[[.:polytope#project_out |project_out]]<Scalar>([[.:polytope:Cone |Cone]] C, [[.:common#Matrix |Matrix]] B)''**|[[.:polytope|polytope]]|Functions|Producing a vector configuration|
|**''[[.:polytope#project_to |project_to]]<Scalar>([[.:polytope:VectorConfiguration |VectorConfiguration]] V, [[.:common#Matrix |Matrix]] B)''**|[[.:polytope|polytope]]|Functions|Producing a vector configuration|
|**''[[.:polytope#project_to |project_to]]<Scalar>([[.:polytope:Cone |Cone]] C, [[.:common#Matrix |Matrix]] B)''**|[[.:polytope|polytope]]|Functions|Producing a vector configuration|
|**''[[.:common#project_to_orthogonal_complement |project_to_orthogonal_complement]]([[.:common#Matrix |Matrix]] points, [[.:common#Matrix |Matrix]] orthogonal)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:polytope:SymmetrizedCocircuitEquations#PROJECTED_EQUATIONS |PROJECTED_EQUATIONS]]''**|[[.:polytope|polytope]]|property of SymmetrizedCocircuitEquations|no category|
|**''[[.:fulton:RationalDivisorClassGroup#PROJECTION |PROJECTION]]''**|[[.:fulton|fulton]]|property of RationalDivisorClassGroup|Algebraic Geometry|
|**''[[.:polytope#projection |projection]]<Scalar>([[.:polytope:VectorConfiguration |VectorConfiguration]] P, [[.:common#Array |Array]]<[[.:common#Int |Int]]> indices)''**|[[.:polytope|polytope]]|Functions|Producing a vector configuration|
|**''[[.:polytope#projection |projection]]([[.:polytope:Cone |Cone]] P, [[.:common#Array |Array]]<[[.:common#Int |Int]]> indices)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:tropical#projection_map |projection_map]]<Addition>([[.:common#Int |Int]] n, [[.:common#Set |Set]]<[[.:common#Int |Int]]> s)''**|[[.:tropical|tropical]]|Functions|Creation function for specific morphisms and functions|
|**''[[.:tropical#projection_map |projection_map]]([[.:common#Int |Int]] n, [[.:common#Int |Int]] m)''**|[[.:tropical|tropical]]|Functions|Creation function for specific morphisms and functions|
|**''[[.:polytope#projection_preimage |projection_preimage]]<Scalar>([[.:common#Array |Array]]<[[.:polytope:VectorConfiguration |VectorConfiguration]]> P_Array)''**|[[.:polytope|polytope]]|Functions|Producing a vector configuration|
|**''[[.:polytope#projection_preimage |projection_preimage]]([[.:common#Array |Array]]<[[.:polytope:Cone |Cone]]> P_Array)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:fulton:NormalToricVariety#PROJECTIVE |PROJECTIVE]]''**|[[.:fulton|fulton]]|property of NormalToricVariety|Algebraic Geometry|
|**''[[.:tropical:Cycle#PROJECTIVE_AMBIENT_DIM |PROJECTIVE_AMBIENT_DIM]]''**|[[.:tropical|tropical]]|property of Cycle|Affine and projective coordinates|
|**''[[.:tropical:Polytope#PROJECTIVE_AMBIENT_DIM |PROJECTIVE_AMBIENT_DIM]]''**|[[.:tropical|tropical]]|property of Polytope|Geometry|
|**''[[.:tropical:Cycle#PROJECTIVE_CODIMENSION |PROJECTIVE_CODIMENSION]]''**|[[.:tropical|tropical]]|property of Cycle|Affine and projective coordinates|
|**''[[.:tropical:Cycle#PROJECTIVE_DIM |PROJECTIVE_DIM]]''**|[[.:tropical|tropical]]|property of Cycle|Affine and projective coordinates|
|**''[[.:matroid#projective_plane |projective_plane]]([[.:common#Integer |Integer]] p)''**|[[.:matroid|matroid]]|Functions|Producing a matroid from scratch|
|**''[[.:fulton#projective_space |projective_space]]([[.:common#Int |Int]] d)''**|[[.:fulton|fulton]]|Functions|Producing a normal toric variety|
|**''[[.:tropical#projective_torus |projective_torus]]<Addition>([[.:common#Int |Int]] n, [[.:common#Integer |Integer]] w)''**|[[.:tropical|tropical]]|Functions|Creation functions for specific cycles|
|**''[[.:tropical:Cycle#PROJECTIVE_VERTICES |PROJECTIVE_VERTICES]]''**|[[.:tropical|tropical]]|property of Cycle|Input property|
|**''[[.:polytope:PropagatedPolytope#PropagatedPolytope |PropagatedPolytope]]<Scalar>''**|[[.:polytope|polytope]]|Objects|no category|
|**''[[.:core:Core_Object#properties |properties]]()''**|[[.:core|core]]|method of Core::Object|no category|
|**''[[.:polytope#pseudo_delpezzo |pseudo_delpezzo]]([[.:common#Int |Int]] d, Scalar scale)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:topaz:SimplicialComplex#PSEUDO_MANIFOLD |PSEUDO_MANIFOLD]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Topology|
|**''[[.:fan:PolyhedralFan#PSEUDO_REGULAR |PSEUDO_REGULAR]]''**|[[.:fan|fan]]|property of PolyhedralFan|Geometry|
|**''[[.:polytope#pseudopower |pseudopower]]([[.:common#Integer |Integer]] l, [[.:common#Int |Int]] i)''**|[[.:polytope|polytope]]|Functions|Other|
|**''[[.:tropical:Polytope#PSEUDOVERTEX_COARSE_COVECTORS |PSEUDOVERTEX_COARSE_COVECTORS]]''**|[[.:tropical|tropical]]|property of Polytope|Combinatorics|
|**''[[.:tropical:Polytope#PSEUDOVERTEX_COVECTORS |PSEUDOVERTEX_COVECTORS]]''**|[[.:tropical|tropical]]|property of Polytope|Combinatorics|
|**''[[.:tropical:Polytope#PSEUDOVERTICES |PSEUDOVERTICES]]''**|[[.:tropical|tropical]]|property of Polytope|Geometry|
|**''[[.:tropical#psi_class |psi_class]]<Addition>([[.:common#Int |Int]] n, [[.:common#Int |Int]] i)''**|[[.:tropical|tropical]]|Functions|Moduli of rational curves|
|**''[[.:tropical#psi_product |psi_product]]<Addition>([[.:common#Int |Int]] n, [[.:common#Vector |Vector]]<[[.:common#Int |Int]]> exponents)''**|[[.:tropical|tropical]]|Functions|Moduli of rational curves|
|**''[[.:common#PuiseuxFraction |PuiseuxFraction]]<MinMax, Coefficient, Exponent>''**|[[.:common|common]]|Property_types|Algebraic Types|
|**''[[.:tropical#pullback |pullback]]([[.:tropical:Morphism |Morphism]] m, [[.:tropical:RationalFunction |RationalFunction]] r)''**|[[.:tropical|tropical]]|Functions|Intersection theory|
|**''[[.:fan:PolyhedralFan#PURE |PURE]]''**|[[.:fan|fan]]|property of PolyhedralFan|Combinatorics|
|**''[[.:topaz:SimplicialComplex#PURE |PURE]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Combinatorics|
|**''[[.:polytope#pyramid |pyramid]]([[.:polytope:Polytope |Polytope]] P, Scalar z)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:fulton:VersalComponent#PYRAMID_LATTICE |PYRAMID_LATTICE]]''**|[[.:fulton|fulton]]|property of VersalComponent|Combinatorics|
|**''[[.:common#ExtGCD |q]]()''**|[[.:common|common]]|method of ExtGCD|no category|
|**''[[.:fulton:CyclicQuotient#Q |Q]]''**|[[.:fulton|fulton]]|property of CyclicQuotient|Input properties|
|**''[[.:matroid#q3_gf3_star_matroid |q3_gf3_star_matroid]]()''**|[[.:matroid|matroid]]|Functions|Producing a matroid from scratch|
|**''[[.:matroid#q8_matroid |q8_matroid]]()''**|[[.:matroid|matroid]]|Functions|Producing a matroid from scratch|
|**''[[.:fulton:TDivisor#Q_CARTIER |Q_CARTIER]]''**|[[.:fulton|fulton]]|property of TDivisor|Algebraic Geometry|
|**''[[.:fan:PolyhedralFan#Q_GORENSTEIN |Q_GORENSTEIN]]''**|[[.:fan|fan]]|property of PolyhedralFan|Toric Varieties|
|**''[[.:polytope:Cone#Q_GORENSTEIN_CONE |Q_GORENSTEIN_CONE]]''**|[[.:polytope|polytope]]|property of Cone|Lattice points in cones|
|**''[[.:polytope:Cone#Q_GORENSTEIN_CONE_INDEX |Q_GORENSTEIN_CONE_INDEX]]''**|[[.:polytope|polytope]]|property of Cone|Lattice points in cones|
|**''[[.:fan:PolyhedralFan#Q_GORENSTEIN_INDEX |Q_GORENSTEIN_INDEX]]''**|[[.:fan|fan]]|property of PolyhedralFan|Toric Varieties|
|**''[[.:common#qr_decomp |qr_decomp]]([[.:common#Matrix |Matrix]]<[[.:common#Float |Float]]> M)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:common#QuadraticExtension |QuadraticExtension]]<Field>''**|[[.:common|common]]|Property_types|Basic Types|
|**''[[.:polytope#quarter_turn_manifold |quarter_turn_manifold]]()''**|[[.:polytope|polytope]]|Functions|Quotient spaces|
|**''[[.:common#Div |quot]]()''**|[[.:common|common]]|method of Div|no category|
|**''[[.:ideal#quotient |quotient]]([[.:ideal:Ideal |Ideal]] I, [[.:ideal:Ideal |Ideal]] J)''**|[[.:ideal|ideal]]|Functions|Singular interface|
|**''[[.:polytope:Polytope#QUOTIENT_SPACE |QUOTIENT_SPACE]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope#quotient_space_simplexity_ilp |quotient_space_simplexity_ilp]]([[.:common#Int |Int]] d, [[.:common#Matrix |Matrix]] V, Scalar volume, [[.:common#SparseMatrix |SparseMatrix]] cocircuit_equations)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope#quotient_space_simplexity_lower_bound |quotient_space_simplexity_lower_bound]]([[.:common#Int |Int]] d, [[.:common#Matrix |Matrix]] V, Scalar volume, [[.:common#SparseMatrix |SparseMatrix]] cocircuit_equations)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope:QuotientSpace#QuotientSpace |QuotientSpace]]''**|[[.:polytope|polytope]]|Objects|Symmetry|
|**''[[.:matroid#r10_matroid |r10_matroid]]()''**|[[.:matroid|matroid]]|Functions|Producing a matroid from scratch|
|**''[[.:matroid#r8_matroid |r8_matroid]]()''**|[[.:matroid|matroid]]|Functions|Producing a matroid from scratch|
|**''[[.:matroid#r9a_matroid |r9a_matroid]]()''**|[[.:matroid|matroid]]|Functions|Producing a matroid from scratch|
|**''[[.:matroid#r9b_matroid |r9b_matroid]]()''**|[[.:matroid|matroid]]|Functions|Producing a matroid from scratch|
|**''[[.:ideal:Ideal#RADICAL |RADICAL]]''**|[[.:ideal|ideal]]|property of Ideal|Commutative algebra|
|**''[[.:tropical#ragsdale_counterexample |ragsdale_counterexample]]()''**|[[.:tropical|tropical]]|Functions|no category|
|**''[[.:polytope#rand01 |rand01]]([[.:common#Int |Int]] d, [[.:common#Int |Int]] n)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:polytope#rand_aof |rand_aof]]([[.:polytope:Polytope |Polytope]] P, [[.:common#Int |Int]] start)''**|[[.:polytope|polytope]]|Functions|Optimization|
|**''[[.:polytope#rand_box |rand_box]]([[.:common#Int |Int]] d, [[.:common#Int |Int]] n, [[.:common#Int |Int]] b)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:polytope#rand_cyclic |rand_cyclic]]([[.:common#Int |Int]] d, [[.:common#Int |Int]] n)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:polytope#rand_inner_points |rand_inner_points]]([[.:polytope:Polytope |Polytope]] P, [[.:common#Int |Int]] n)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:topaz#rand_knot |rand_knot]]([[.:common#Int |Int]] n_edges)''**|[[.:topaz|topaz]]|Functions|Producing from scratch|
|**''[[.:polytope#rand_metric |rand_metric]]<Scalar>([[.:common#Int |Int]] n)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:polytope#rand_metric_int |rand_metric_int]]<Scalar>([[.:common#Int |Int]] n)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:common#rand_perm |rand_perm]]([[.:common#Int |Int]] n)''**|[[.:common|common]]|Functions|Utilities|
|**''[[.:polytope#rand_sphere |rand_sphere]]<Num>([[.:common#Int |Int]] d, [[.:common#Int |Int]] n)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:polytope#rand_vert |rand_vert]]([[.:common#Matrix |Matrix]] V, [[.:common#Int |Int]] n)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:topaz#random_discrete_morse |random_discrete_morse]]([[.:topaz:SimplicialComplex |SimplicialComplex]] complex)''**|[[.:topaz|topaz]]|Functions|Other|
|**''[[.:polytope:LinearProgram#RANDOM_EDGE_EPL |RANDOM_EDGE_EPL]]''**|[[.:polytope|polytope]]|property of LinearProgram|no category|
|**''[[.:polytope#random_edge_epl |random_edge_epl]]([[.:graph:Graph |Graph]]<[[.:common#Directed |Directed]]> G)''**|[[.:polytope|polytope]]|Functions|Optimization|
|**''[[.:graph#random_graph |random_graph]]([[.:common#Int |Int]] n)''**|[[.:graph|graph]]|Functions|Producing a graph|
|**''[[.:tropical#randomInteger |randomInteger]]([[.:common#Int |Int]] max_arg, [[.:common#Int |Int]] n)''**|[[.:tropical|tropical]]|Functions|Lattices|
|**''[[.:common#range |range]]([[.:common#Int |Int]] a, [[.:common#Int |Int]] b)''**|[[.:common|common]]|Functions|Set Operations|
|**''[[.:common#range_from |range_from]]([[.:common#Int |Int]] a)''**|[[.:common|common]]|Functions|Set Operations|
|**''[[.:common#SmithNormalForm |rank]]()''**|[[.:common|common]]|method of SmithNormalForm|no category|
|**''[[.:common#HermiteNormalForm |rank]]()''**|[[.:common|common]]|method of HermiteNormalForm|no category|
|**''[[.:common#rank |rank]]([[.:common#Matrix |Matrix]] A)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:graph:Lattice#rank |rank]]()''**|[[.:graph|graph]]|method of Lattice|Combinatorics|
|**''[[.:graph#BasicDecoration |rank]]()''**|[[.:graph|graph]]|method of BasicDecoration|no category|
|**''[[.:tropical:MatroidRingCycle#RANK |RANK]]''**|[[.:tropical|tropical]]|property of MatroidRingCycle|Matroid data|
|**''[[.:matroid:Matroid#RANK |RANK]]''**|[[.:matroid|matroid]]|property of Matroid|Enumerative properties|
|**''[[.:matroid:Matroid#rank |rank]]()''**|[[.:matroid|matroid]]|method of Matroid|Axiom systems|
|**''[[.:common#Rational |Rational]]''**|[[.:common|common]]|Property_types|Basic Types|
|**''[[.:fulton#rational2cf |rational2cf]]([[.:common#Rational |Rational]] r)''**|[[.:fulton|fulton]]|Functions|Continued fractions|
|**''[[.:tropical#rational_curve_from_cone |rational_curve_from_cone]]([[.:tropical:Cycle |Cycle]]<Addition> X, [[.:common#Int |Int]] n_leaves, [[.:common#Int |Int]] coneIndex)''**|[[.:tropical|tropical]]|Functions|Abstract rational curves|
|**''[[.:tropical#rational_curve_from_matroid_coordinates |rational_curve_from_matroid_coordinates]]<Addition>([[.:common#Vector |Vector]]<[[.:common#Rational |Rational]]> v)''**|[[.:tropical|tropical]]|Functions|Abstract rational curves|
|**''[[.:tropical#rational_curve_from_metric |rational_curve_from_metric]]([[.:common#Vector |Vector]]<[[.:common#Rational |Rational]]> v)''**|[[.:tropical|tropical]]|Functions|Abstract rational curves|
|**''[[.:tropical#rational_curve_from_rays |rational_curve_from_rays]]<Addition>([[.:common#Matrix |Matrix]]<[[.:common#Rational |Rational]]> rays)''**|[[.:tropical|tropical]]|Functions|Abstract rational curves|
|**''[[.:tropical#rational_curve_immersion |rational_curve_immersion]]<Addition>([[.:common#Matrix |Matrix]]<[[.:common#Rational |Rational]]> delta, [[.:tropical:RationalCurve |RationalCurve]] type)''**|[[.:tropical|tropical]]|Functions|Abstract rational curves|
|**''[[.:tropical#rational_curve_list_from_matroid_coordinates |rational_curve_list_from_matroid_coordinates]]<Addition>([[.:common#Matrix |Matrix]]<[[.:common#Rational |Rational]]> m)''**|[[.:tropical|tropical]]|Functions|Abstract rational curves|
|**''[[.:tropical#rational_curve_list_from_metric |rational_curve_list_from_metric]]([[.:common#Matrix |Matrix]]<[[.:common#Rational |Rational]]> m)''**|[[.:tropical|tropical]]|Functions|Abstract rational curves|
|**''[[.:fulton:NormalToricVariety#RATIONAL_DIVISOR_CLASS_GROUP |RATIONAL_DIVISOR_CLASS_GROUP]]''**|[[.:fulton|fulton]]|property of NormalToricVariety|Algebraic Geometry|
|**''[[.:tropical#rational_fct_from_affine_denominator |rational_fct_from_affine_denominator]]([[.:common#Polynomial |Polynomial]]<[[.:common#TropicalNumber |TropicalNumber]]<Addition%%>>%% p, [[.:common#Int |Int]] chart)''**|[[.:tropical|tropical]]|Functions|Affine and projective coordinates|
|**''[[.:tropical#rational_fct_from_affine_denominator |rational_fct_from_affine_denominator]]([[.:common#String |String]] p, [[.:common#Int |Int]] chart)''**|[[.:tropical|tropical]]|Functions|Affine and projective coordinates|
|**''[[.:tropical#rational_fct_from_affine_numerator |rational_fct_from_affine_numerator]]([[.:common#Polynomial |Polynomial]]<[[.:common#TropicalNumber |TropicalNumber]]<Addition%%>>%% p, [[.:common#Int |Int]] chart)''**|[[.:tropical|tropical]]|Functions|Affine and projective coordinates|
|**''[[.:tropical#rational_fct_from_affine_numerator |rational_fct_from_affine_numerator]]([[.:common#String |String]] p, [[.:common#Int |Int]] chart)''**|[[.:tropical|tropical]]|Functions|Affine and projective coordinates|
|**''[[.:tropical:RationalCurve#RationalCurve |RationalCurve]]''**|[[.:tropical|tropical]]|Objects|no category|
|**''[[.:fulton:RationalDivisorClassGroup#RationalDivisorClassGroup |RationalDivisorClassGroup]]''**|[[.:fulton|fulton]]|Objects|no category|
|**''[[.:common#RationalFunction |RationalFunction]]<Coefficient, Exponent>''**|[[.:common|common]]|Property_types|Algebraic Types|
|**''[[.:tropical:RationalFunction#RationalFunction |RationalFunction]]<Addition>''**|[[.:tropical|tropical]]|Objects|no category|
|**''[[.:fan:PolyhedralFan#RAY_LABELS |RAY_LABELS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Visualization|
|**''[[.:polytope:Cone#RAY_LABELS |RAY_LABELS]]''**|[[.:polytope|polytope]]|property of Cone|Visualization|
|**''[[.:polytope:Cone#RAY_SEPARATORS |RAY_SEPARATORS]]''**|[[.:polytope|polytope]]|property of Cone|Geometry|
|**''[[.:polytope:Cone#RAY_SIZES |RAY_SIZES]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:fan:PolyhedralFan#RAYS |RAYS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Geometry|
|**''[[.:polytope:Cone#RAYS |RAYS]]''**|[[.:polytope|polytope]]|property of Cone|Geometry|
|**''[[.:group:Group#RAYS_ACTION |RAYS_ACTION]]''**|[[.:group|group]]|property of Group|Symmetry|
|**''[[.:group:Action#RAYS_GENERATORS |RAYS_GENERATORS]]''**|[[.:group|group]]|property of Action|Symmetry|
|**''[[.:fan:PolyhedralFan#RAYS_IMAGES |RAYS_IMAGES]]''**|[[.:fan|fan]]|property of PolyhedralFan|Symmetry|
|**''[[.:polytope:Cone#RAYS_IN_FACETS |RAYS_IN_FACETS]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:polytope:Cone#RAYS_IN_INEQUALITIES |RAYS_IN_INEQUALITIES]]''**|[[.:polytope|polytope]]|property of Cone|Geometry|
|**''[[.:fan:PolyhedralFan#RAYS_IN_ORBITS |RAYS_IN_ORBITS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Symmetry|
|**''[[.:polytope:Cone#RAYS_IN_RIDGES |RAYS_IN_RIDGES]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:fan:PolyhedralFan#RAYS_ORBIT_SIZES |RAYS_ORBIT_SIZES]]''**|[[.:fan|fan]]|property of PolyhedralFan|Symmetry|
|**''[[.:polytope:Cone#RAYS_ORBITS |RAYS_ORBITS]]''**|[[.:polytope|polytope]]|property of Cone|Symmetry|
|**''[[.:fan:PolyhedralFan#RAYS_REPS |RAYS_REPS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Symmetry|
|**''[[.:fan:PolyhedralFan#RAYS_REPS_LABELS |RAYS_REPS_LABELS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Symmetry|
|**''[[.:tropical:Patchwork#REAL_FACETS |REAL_FACETS]]''**|[[.:tropical|tropical]]|property of Patchwork|no category|
|**''[[.:topaz#real_projective_plane |real_projective_plane]]()''**|[[.:topaz|topaz]]|Functions|Producing from scratch|
|**''[[.:tropical:Patchwork#realize |realize]]([[.:common#String |String]] method)''**|[[.:tropical|tropical]]|method of Patchwork|no category|
|**''[[.:polytope#recession_cone |recession_cone]]([[.:polytope:Polytope |Polytope]]<Scalar> P)''**|[[.:polytope|polytope]]|Functions|Producing a cone|
|**''[[.:tropical#recession_fan |recession_fan]]([[.:tropical:Cycle |Cycle]] complex)''**|[[.:tropical|tropical]]|Functions|Basic polyhedral operations|
|**''[[.:core#reconfigure |reconfigure]]([[.:common#String |String]] rulename)''**|[[.:core|core]]|Functions|Interactive|
|**''[[.:core#reconfigure_extension |reconfigure_extension]]([[.:common#String |String]] path, [[.:common#List |List]] options)''**|[[.:core|core]]|Functions|Interactive|
|**''[[.:ideal:Groebner#reduce |reduce]]([[.:common#Polynomial |Polynomial]] p)''**|[[.:ideal|ideal]]|method of Groebner|no category|
|**''[[.:common#reduce |reduce]]([[.:common#Matrix |Matrix]] A, [[.:common#Vector |Vector]] b)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:polytope#reduced |reduced]]([[.:common#Rational |Rational]] t, [[.:common#Rational |Rational]] x, [[.:common#Rational |Rational]] s, [[.:common#Rational |Rational]] h, [[.:common#Rational |Rational]] r)''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:tropical:Hypersurface#REDUNDANT_MONOMIALS |REDUNDANT_MONOMIALS]]''**|[[.:tropical|tropical]]|property of Hypersurface|no category|
|**''[[.:polytope:Polytope#REFINED_SPLITS |REFINED_SPLITS]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:polytope:Cone#REFINED_SPLITS |REFINED_SPLITS]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:polytope:PointConfiguration#REFINED_SPLITS |REFINED_SPLITS]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Triangulation and volume|
|**''[[.:polytope:PointConfiguration#REFINED_SPLITS |REFINED_SPLITS]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Combinatorics|
|**''[[.:polytope:Polytope#REFLEXIVE |REFLEXIVE]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in cones|
|**''[[.:tropical:Hypersurface#REGIONS |REGIONS]]''**|[[.:tropical|tropical]]|property of Hypersurface|no category|
|**''[[.:fan:SubdivisionOfPoints#REGULAR |REGULAR]]''**|[[.:fan|fan]]|property of SubdivisionOfPoints|Geometry|
|**''[[.:fan:PolyhedralFan#REGULAR |REGULAR]]''**|[[.:fan|fan]]|property of PolyhedralFan|Geometry|
|**''[[.:matroid:Matroid#REGULAR |REGULAR]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:polytope#regular_120_cell |regular_120_cell]]()''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:polytope#regular_24_cell |regular_24_cell]]()''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:polytope#regular_600_cell |regular_600_cell]]()''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:group:Group#REGULAR_REPRESENTATION |REGULAR_REPRESENTATION]]''**|[[.:group|group]]|property of Group|Symmetry|
|**''[[.:group#regular_representation |regular_representation]]([[.:group:PermutationAction |PermutationAction]] a)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:polytope#regular_simplex |regular_simplex]]([[.:common#Int |Int]] d)''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:polytope#regular_subdivision |regular_subdivision]]([[.:common#Matrix |Matrix]] points, [[.:common#Vector |Vector]] weights)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope#regularity_lp |regularity_lp]]([[.:common#Matrix |Matrix]] points, [[.:common#Array |Array]]<[[.:common#Set |Set]]<[[.:common#Int |Int]]%%>>%% subdiv)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope:Cone#REL_INT_POINT |REL_INT_POINT]]''**|[[.:polytope|polytope]]|property of Cone|Geometry|
|**''[[.:polytope:Polytope#RELATIVE_VOLUME |RELATIVE_VOLUME]]''**|[[.:polytope|polytope]]|property of Polytope|Triangulation and volume|
|**''[[.:common#Div |rem]]()''**|[[.:common|common]]|method of Div|no category|
|**''[[.:core:Core_Object#remove |remove]]''**|[[.:core|core]]|method of Core::Object|no category|
|**''[[.:core:Core_Object#remove_attachment |remove_attachment]]([[.:common#String |String]] name)''**|[[.:core|core]]|method of Core::Object|no category|
|**''[[.:common#remove_zero_rows |remove_zero_rows]]([[.:common#Matrix |Matrix]] m)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:common#repeat_col |repeat_col]]([[.:common#Vector |Vector]] v, [[.:common#Int |Int]] i)''**|[[.:common|common]]|Functions|Data Conversion|
|**''[[.:common#repeat_row |repeat_row]]([[.:common#Vector |Vector]] v, [[.:common#Int |Int]] i)''**|[[.:common|common]]|Functions|Data Conversion|
|**''[[.:core#replay_history |replay_history]]''**|[[.:core|core]]|Functions|Interactive|
|**''[[.:polytope#representation_conversion_up_to_symmetry |representation_conversion_up_to_symmetry]]([[.:polytope:Cone |Cone]] c)''**|[[.:polytope|polytope]]|Functions|Symmetry|
|**''[[.:tropical:LinesInCubic#representative |representative]]''**|[[.:tropical|tropical]]|method of LinesInCubic|Lists of lines|
|**''[[.:tropical:LinesInCubic#representative |representative]]''**|[[.:tropical|tropical]]|method of LinesInCubic|Lists of lines|
|**''[[.:tropical:LinesInCubic#representative |representative]]''**|[[.:tropical|tropical]]|method of LinesInCubic|Lists of lines|
|**''[[.:tropical:LinesInCubic#representative |representative]]''**|[[.:tropical|tropical]]|method of LinesInCubic|Lists of lines|
|**''[[.:polytope:Cone#REPRESENTATIVE_BOUNDARY_RIDGE_SIMPLICES |REPRESENTATIVE_BOUNDARY_RIDGE_SIMPLICES]]''**|[[.:polytope|polytope]]|property of Cone|Symmetry|
|**''[[.:polytope:PointConfiguration#REPRESENTATIVE_BOUNDARY_RIDGE_SIMPLICES |REPRESENTATIVE_BOUNDARY_RIDGE_SIMPLICES]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Symmetry|
|**''[[.:polytope:Polytope#REPRESENTATIVE_CERTIFIERS |REPRESENTATIVE_CERTIFIERS]]''**|[[.:polytope|polytope]]|property of Polytope|no category|
|**''[[.:fan:PolyhedralFan#REPRESENTATIVE_COMBINATORIAL_DIMS |REPRESENTATIVE_COMBINATORIAL_DIMS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Symmetry|
|**''[[.:fan:PolyhedralFan#REPRESENTATIVE_CONES |REPRESENTATIVE_CONES]]''**|[[.:fan|fan]]|property of PolyhedralFan|Symmetry|
|**''[[.:polytope:Polytope#REPRESENTATIVE_CORE_POINTS |REPRESENTATIVE_CORE_POINTS]]''**|[[.:polytope|polytope]]|property of Polytope|no category|
|**''[[.:fan:PolyhedralFan#REPRESENTATIVE_F_VECTOR |REPRESENTATIVE_F_VECTOR]]''**|[[.:fan|fan]]|property of PolyhedralFan|Symmetry|
|**''[[.:polytope:Cone#REPRESENTATIVE_FACETS |REPRESENTATIVE_FACETS]]''**|[[.:polytope|polytope]]|property of Cone|Symmetry|
|**''[[.:polytope:Polytope#REPRESENTATIVE_INEQUALITIES |REPRESENTATIVE_INEQUALITIES]]''**|[[.:polytope|polytope]]|method of Polytope|no category|
|**''[[.:polytope:Cone#REPRESENTATIVE_INEQUALITIES |REPRESENTATIVE_INEQUALITIES]]()''**|[[.:polytope|polytope]]|method of Cone|Symmetry|
|**''[[.:fan:PolyhedralFan#REPRESENTATIVE_INPUT_CONES |REPRESENTATIVE_INPUT_CONES]]''**|[[.:fan|fan]]|method of PolyhedralFan|Symmetry|
|**''[[.:fan:PolyhedralFan#REPRESENTATIVE_INPUT_RAYS |REPRESENTATIVE_INPUT_RAYS]]''**|[[.:fan|fan]]|method of PolyhedralFan|Symmetry|
|**''[[.:polytope:Cone#REPRESENTATIVE_INPUT_RAYS |REPRESENTATIVE_INPUT_RAYS]]()''**|[[.:polytope|polytope]]|method of Cone|Symmetry|
|**''[[.:polytope:Cone#REPRESENTATIVE_INTERIOR_RIDGE_SIMPLICES |REPRESENTATIVE_INTERIOR_RIDGE_SIMPLICES]]''**|[[.:polytope|polytope]]|property of Cone|Symmetry|
|**''[[.:polytope:PointConfiguration#REPRESENTATIVE_INTERIOR_RIDGE_SIMPLICES |REPRESENTATIVE_INTERIOR_RIDGE_SIMPLICES]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Symmetry|
|**''[[.:polytope:QuotientSpace#REPRESENTATIVE_INTERIOR_RIDGE_SIMPLICES |REPRESENTATIVE_INTERIOR_RIDGE_SIMPLICES]]''**|[[.:polytope|polytope]]|property of QuotientSpace|Combinatorics|
|**''[[.:polytope:Cone#REPRESENTATIVE_MAX_BOUNDARY_SIMPLICES |REPRESENTATIVE_MAX_BOUNDARY_SIMPLICES]]''**|[[.:polytope|polytope]]|property of Cone|Symmetry|
|**''[[.:polytope:PointConfiguration#REPRESENTATIVE_MAX_BOUNDARY_SIMPLICES |REPRESENTATIVE_MAX_BOUNDARY_SIMPLICES]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Symmetry|
|**''[[.:polytope:QuotientSpace#REPRESENTATIVE_MAX_BOUNDARY_SIMPLICES |REPRESENTATIVE_MAX_BOUNDARY_SIMPLICES]]''**|[[.:polytope|polytope]]|property of QuotientSpace|Combinatorics|
|**''[[.:polytope:Cone#REPRESENTATIVE_MAX_INTERIOR_SIMPLICES |REPRESENTATIVE_MAX_INTERIOR_SIMPLICES]]''**|[[.:polytope|polytope]]|property of Cone|Symmetry|
|**''[[.:polytope:PointConfiguration#REPRESENTATIVE_MAX_INTERIOR_SIMPLICES |REPRESENTATIVE_MAX_INTERIOR_SIMPLICES]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Symmetry|
|**''[[.:polytope:QuotientSpace#REPRESENTATIVE_MAX_INTERIOR_SIMPLICES |REPRESENTATIVE_MAX_INTERIOR_SIMPLICES]]''**|[[.:polytope|polytope]]|property of QuotientSpace|Combinatorics|
|**''[[.:fan:PolyhedralFan#REPRESENTATIVE_MAXIMAL_CONES |REPRESENTATIVE_MAXIMAL_CONES]]''**|[[.:fan|fan]]|property of PolyhedralFan|Symmetry|
|**''[[.:fan:PolyhedralFan#REPRESENTATIVE_RAYS |REPRESENTATIVE_RAYS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Symmetry|
|**''[[.:polytope:Cone#REPRESENTATIVE_RAYS |REPRESENTATIVE_RAYS]]''**|[[.:polytope|polytope]]|property of Cone|Symmetry|
|**''[[.:fan:PolyhedralComplex#REPRESENTATIVE_VERTICES |REPRESENTATIVE_VERTICES]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:polytope:Polytope#REPRESENTATIVE_VERTICES |REPRESENTATIVE_VERTICES]]''**|[[.:polytope|polytope]]|property of Polytope|Symmetry|
|**''[[.:fan:PolyhedralComplex#REPS_AFFINE_SPAN_NORMALS |REPS_AFFINE_SPAN_NORMALS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:fan:PolyhedralFan#REPS_FACET_NORMALS |REPS_FACET_NORMALS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Symmetry|
|**''[[.:fan:PolyhedralFan#REPS_LINEAR_SPAN_NORMALS |REPS_LINEAR_SPAN_NORMALS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Symmetry|
|**''[[.:core#reset_custom |reset_custom]](Any variable)''**|[[.:core|core]]|Functions|Basic|
|**''[[.:core#reset_preference |reset_preference]]([[.:common#String |String]] label_expression)''**|[[.:core|core]]|Functions|Basic|
|**''[[.:common#UniPolynomial |reset_var_names]]''**|[[.:common|common]]|method of UniPolynomial|no category|
|**''[[.:common#Polynomial |reset_var_names]]''**|[[.:common|common]]|method of Polynomial|no category|
|**''[[.:common#Matrix |resize]]([[.:common#Int |Int]] r, [[.:common#Int |Int]] c)''**|[[.:common|common]]|method of Matrix|no category|
|**''[[.:common#SparseMatrix |resize]]([[.:common#Int |Int]] r, [[.:common#Int |Int]] c)''**|[[.:common|common]]|method of SparseMatrix|no category|
|**''[[.:tropical:Morphism#restrict |restrict]]([[.:tropical:Cycle |Cycle]] Some)''**|[[.:tropical|tropical]]|method of Morphism|Morphisms|
|**''[[.:tropical:RationalFunction#restrict |restrict]]([[.:tropical:Cycle |Cycle]]<Addition> C)''**|[[.:tropical|tropical]]|method of RationalFunction|Defining morphisms and functions|
|**''[[.:polytope#revert |revert]]([[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Transformations|
|**''[[.:matroid:Matroid#REVLEX_BASIS_ENCODING |REVLEX_BASIS_ENCODING]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:common#RGB |RGB]]''**|[[.:common|common]]|Property_types|Visualization|
|**''[[.:polytope#rhombicosidodecahedron |rhombicosidodecahedron]]()''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:polytope#rhombicuboctahedron |rhombicuboctahedron]]()''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:polytope:SymmetrizedCocircuitEquations#RIDGES |RIDGES]]''**|[[.:polytope|polytope]]|property of SymmetrizedCocircuitEquations|no category|
|**''[[.:polytope:Cone#RIF_CYCLIC_NORMAL |RIF_CYCLIC_NORMAL]]''**|[[.:polytope|polytope]]|property of Cone|Visualization|
|**''[[.:common#SmithNormalForm |right_companion]]()''**|[[.:common|common]]|method of SmithNormalForm|no category|
|**''[[.:common#SingularValueDecomposition |right_companion]]()''**|[[.:common|common]]|method of SingularValueDecomposition|no category|
|**''[[.:polytope#root_system |root_system]]([[.:common#String |String]] type)''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:polytope:SchlegelDiagram#ROTATION |ROTATION]]''**|[[.:polytope|polytope]]|property of SchlegelDiagram|no category|
|**''[[.:common#Matrix |row]]([[.:common#Int |Int]] i)''**|[[.:common|common]]|method of Matrix|no category|
|**''[[.:common#IncidenceMatrix |row]]([[.:common#Int |Int]] i)''**|[[.:common|common]]|method of IncidenceMatrix|no category|
|**''[[.:group#row_support_sizes |row_support_sizes]]([[.:common#SparseMatrix |SparseMatrix]] M)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:common#Matrix |rows]]()''**|[[.:common|common]]|method of Matrix|no category|
|**''[[.:common#IncidenceMatrix |rows]]()''**|[[.:common|common]]|method of IncidenceMatrix|no category|
|**''[[.:common#rows |rows]]''**|[[.:common|common]]|Functions|Data Conversion|
|**''[[.:common#rows |rows]]([[.:common#Matrix |Matrix]] A)''**|[[.:common|common]]|Functions|Data Conversion|
|**''[[.:common#rows_labeled |rows_labeled]]([[.:common#Matrix |Matrix]] data, [[.:common#Array |Array]]<[[.:common#String |String]]> row_labels, [[.:common#Array |Array]]<[[.:common#String |String]]> elem_labels)''**|[[.:common|common]]|Functions|Formatting|
|**''[[.:common#rows_labeled |rows_labeled]]([[.:common#Graph |Graph]] graph, [[.:common#Array |Array]]<[[.:common#String |String]]> elem_labels)''**|[[.:common|common]]|Functions|Formatting|
|**''[[.:common#rows_numbered |rows_numbered]]([[.:common#Matrix |Matrix]] data)''**|[[.:common|common]]|Functions|Formatting|
|**''[[.:polytope#rss_associahedron |rss_associahedron]]([[.:common#Int |Int]] l)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:ideal:Ideal#SATURATION |SATURATION]]''**|[[.:ideal|ideal]]|method of Ideal|no category|
|**''[[.:core#save |save]]([[.:core:Core_Object |Core::Object]] object, [[.:common#String |String]] filename)''**|[[.:core|core]]|Functions|Basic|
|**''[[.:core#save_data |save_data]](Any data, [[.:common#String |String]] filename, [[.:common#String |String]] description)''**|[[.:core|core]]|Functions|Basic|
|**''[[.:core#save_history |save_history]]([[.:common#String |String]] filename)''**|[[.:core|core]]|Functions|Interactive|
|**''[[.:core#save_schema |save_schema]](Any object ..., [[.:common#String |String]] filename)''**|[[.:core|core]]|Functions|Basic|
|**''[[.:common#scalar2set |scalar2set]](//Scalar// s)''**|[[.:common|common]]|Functions|Set Operations|
|**''[[.:polytope#scale |scale]]([[.:polytope:Polytope |Polytope]] P, Scalar factor, [[.:common#Bool |Bool]] store)''**|[[.:polytope|polytope]]|Functions|Transformations|
|**''[[.:polytope:Polytope#SCHLEGEL |SCHLEGEL]]()''**|[[.:polytope|polytope]]|method of Polytope|Visualization|
|**''[[.:polytope:Polytope#SCHLEGEL_DIAGRAM |SCHLEGEL_DIAGRAM]]''**|[[.:polytope|polytope]]|property of Polytope|Visualization|
|**''[[.:polytope:SchlegelDiagram#SchlegelDiagram |SchlegelDiagram]]<Scalar>''**|[[.:polytope|polytope]]|Objects|no category|
|**''[[.:core#script |script]]([[.:common#String |String]] filename, Any Arguments)''**|[[.:core|core]]|Functions|Basic|
|**''[[.:tropical#second_tdet_and_perm |second_tdet_and_perm]]([[.:common#Matrix |Matrix]]<[[.:common#TropicalNumber |TropicalNumber]]> matrix)''**|[[.:tropical|tropical]]|Functions|Tropical operations|
|**''[[.:fan:SubdivisionOfVectors#secondary_cone |secondary_cone]]()''**|[[.:fan|fan]]|method of SubdivisionOfVectors|Geometry|
|**''[[.:fan#secondary_fan |secondary_fan]]([[.:polytope:VectorConfiguration |VectorConfiguration]] V)''**|[[.:fan|fan]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:fan#secondary_fan |secondary_fan]]''**|[[.:fan|fan]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:topaz:HyperbolicSurface#SECONDARY_FAN |SECONDARY_FAN]]''**|[[.:topaz|topaz]]|property of HyperbolicSurface|no category|
|**''[[.:topaz#secondary_polyhedron |secondary_polyhedron]]([[.:topaz:HyperbolicSurface |HyperbolicSurface]] s, [[.:common#Int |Int]] depth)''**|[[.:topaz|topaz]]|Functions|Producing other objects|
|**''[[.:polytope#secondary_polytope |secondary_polytope]]([[.:polytope:PointConfiguration |PointConfiguration]] pc)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope#secondary_polytope |secondary_polytope]]([[.:polytope:Polytope |Polytope]] pc)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:fulton:TDivisor#SECTION_POLYTOPE |SECTION_POLYTOPE]]''**|[[.:fulton|fulton]]|property of TDivisor|Combinatorics|
|**''[[.:fan#SedentarityDecoration |SedentarityDecoration]]''**|[[.:fan|fan]]|Property_types|no category|
|**''[[.:common#select_subset |select_subset]]([[.:common#Set |Set]] s, [[.:common#Set |Set]]<[[.:common#Int |Int]]> indices)''**|[[.:common|common]]|Functions|Set Operations|
|**''[[.:matroid:Matroid#SELF_DUAL |SELF_DUAL]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:polytope:Polytope#SELF_DUAL |SELF_DUAL]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:polytope:Cone#SELF_DUAL |SELF_DUAL]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:fulton:TDivisor#SEMIAMPLE |SEMIAMPLE]]''**|[[.:fulton|fulton]]|property of TDivisor|Algebraic Geometry|
|**''[[.:polytope#separable |separable]]([[.:common#Vector |Vector]] q, [[.:polytope:Cone |Cone]] P)''**|[[.:polytope|polytope]]|Functions|Geometry|
|**''[[.:tropical:Cycle#SEPARATED_CODIMENSION_ONE_POLYTOPES |SEPARATED_CODIMENSION_ONE_POLYTOPES]]''**|[[.:tropical|tropical]]|property of Cycle|Defining morphisms and functions|
|**''[[.:tropical:Cycle#SEPARATED_CONVERSION_VECTOR |SEPARATED_CONVERSION_VECTOR]]''**|[[.:tropical|tropical]]|property of Cycle|Defining morphisms and functions|
|**''[[.:tropical:Cycle#SEPARATED_MAXIMAL_POLYTOPES |SEPARATED_MAXIMAL_POLYTOPES]]''**|[[.:tropical|tropical]]|property of Cycle|Defining morphisms and functions|
|**''[[.:tropical:Cycle#SEPARATED_VERTICES |SEPARATED_VERTICES]]''**|[[.:tropical|tropical]]|property of Cycle|Defining morphisms and functions|
|**''[[.:polytope#separating_hyperplane |separating_hyperplane]]([[.:common#Vector |Vector]] q, [[.:common#Matrix |Matrix]] points)''**|[[.:polytope|polytope]]|Functions|Optimization|
|**''[[.:polytope#separating_hyperplane |separating_hyperplane]]([[.:polytope:Polytope |Polytope]] p1, [[.:polytope:Polytope |Polytope]] p2)''**|[[.:polytope|polytope]]|Functions|Optimization|
|**''[[.:common#sequence |sequence]]([[.:common#Int |Int]] a, [[.:common#Int |Int]] c)''**|[[.:common|common]]|Functions|Set Operations|
|**''[[.:graph#Sequential |Sequential]]''**|[[.:graph|graph]]|Property_types|Artificial|
|**''[[.:common#Serialized |Serialized]]<X>''**|[[.:common|common]]|Property_types|Artificial|
|**''[[.:matroid#series_extension |series_extension]]([[.:matroid:Matroid |Matroid]] m_1, [[.:common#Int |Int]] e_1, [[.:matroid:Matroid |Matroid]] m_2, [[.:common#Int |Int]] e_2)''**|[[.:matroid|matroid]]|Functions|Producing a matroid from matroids|
|**''[[.:matroid#series_extension |series_extension]]([[.:matroid:Matroid |Matroid]] m, [[.:common#Int |Int]] e)''**|[[.:matroid|matroid]]|Functions|Producing a matroid from matroids|
|**''[[.:matroid:Matroid#SERIES_PARALLEL |SERIES_PARALLEL]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:common#Set |Set]]<Element>''**|[[.:common|common]]|Property_types|Set Types|
|**''[[.:group:Group#SET_ACTION |SET_ACTION]]''**|[[.:group|group]]|property of Group|Symmetry|
|**''[[.:core:Core_Object#set_as_default |set_as_default]]''**|[[.:core|core]]|method of Core::Object|no category|
|**''[[.:core:Core_Object#set_as_default_now |set_as_default_now]]''**|[[.:core|core]]|method of Core::Object|no category|
|**''[[.:core#set_custom |set_custom]](Any assignment)''**|[[.:core|core]]|Functions|Basic|
|**''[[.:tropical#set_theoretic_intersection |set_theoretic_intersection]]([[.:tropical:Cycle |Cycle]] A, [[.:tropical:Cycle |Cycle]] B)''**|[[.:tropical|tropical]]|Functions|Basic polyhedral operations|
|**''[[.:common#UniPolynomial |set_var_names]]''**|[[.:common|common]]|method of UniPolynomial|no category|
|**''[[.:common#Polynomial |set_var_names]]''**|[[.:common|common]]|method of Polynomial|no category|
|**''[[.:common#set_var_names |set_var_names]]([[.:common#String |String]] names ...)''**|[[.:common|common]]|Functions|Arithmetic|
|**''[[.:tropical:RationalCurve#SETS |SETS]]''**|[[.:tropical|tropical]]|property of RationalCurve|Combinatorics|
|**''[[.:topaz:SimplicialComplex#SHELLABLE |SHELLABLE]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Combinatorics|
|**''[[.:topaz:SimplicialComplex#SHELLING |SHELLING]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Combinatorics|
|**''[[.:tropical#shift_cycle |shift_cycle]]([[.:tropical:Cycle |Cycle]]<Addition> C, [[.:common#Vector |Vector]]<[[.:common#Rational |Rational]]> T)''**|[[.:tropical|tropical]]|Functions|Basic polyhedral operations|
|**''[[.:graph#shortest_path_dijkstra |shortest_path_dijkstra]]([[.:graph:Graph |Graph]] G, [[.:common#EdgeMap |EdgeMap]] weights, [[.:common#Int |Int]] source, [[.:common#Int |Int]] target, [[.:common#Bool |Bool]] if)''**|[[.:graph|graph]]|Functions|no category|
|**''[[.:core#show_credits |show_credits]]([[.:common#Bool |Bool]] brief)''**|[[.:core|core]]|Functions|Interactive|
|**''[[.:core#show_extensions |show_extensions]]''**|[[.:core|core]]|Functions|Interactive|
|**''[[.:core#show_preferences |show_preferences]]''**|[[.:core|core]]|Functions|Interactive|
|**''[[.:core#show_unconfigured |show_unconfigured]]''**|[[.:core|core]]|Functions|Interactive|
|**''[[.:common#SingularValueDecomposition |sigma]]()''**|[[.:common|common]]|method of SingularValueDecomposition|no category|
|**''[[.:topaz:GeometricSimplicialComplex#SIGNATURE |SIGNATURE]]''**|[[.:topaz|topaz]]|property of GeometricSimplicialComplex|no category|
|**''[[.:graph:Graph#SIGNATURE |SIGNATURE]]''**|[[.:graph|graph]]|property of Graph|no category|
|**''[[.:fan:HyperplaneArrangement#signature_to_cell |signature_to_cell]]''**|[[.:fan|fan]]|method of HyperplaneArrangement|Combinatorics|
|**''[[.:graph:Graph#SIGNED_INCIDENCE_MATRIX |SIGNED_INCIDENCE_MATRIX]]''**|[[.:graph|graph]]|property of Graph|no category|
|**''[[.:graph#signed_incidence_matrix |signed_incidence_matrix]]([[.:graph:Graph |Graph]] G)''**|[[.:graph|graph]]|Functions|Combinatorics|
|**''[[.:graph#signed_incidence_matrix |signed_incidence_matrix]]([[.:common#Graph |Graph]] G)''**|[[.:graph|graph]]|Functions|Combinatorics|
|**''[[.:polytope#signed_permutahedron |signed_permutahedron]]([[.:common#Int |Int]] d)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:tropical:Patchwork#SIGNS |SIGNS]]''**|[[.:tropical|tropical]]|property of Patchwork|no category|
|**''[[.:matroid:Matroid#SIMPLE |SIMPLE]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:polytope:Polytope#SIMPLE |SIMPLE]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:polytope:Cone#SIMPLE |SIMPLE]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:polytope:Polytope#SIMPLE_POLYHEDRON |SIMPLE_POLYHEDRON]]''**|[[.:polytope|polytope]]|property of Polytope|Unbounded polyhedra|
|**''[[.:polytope#simple_roots_type_A |simple_roots_type_A]]([[.:common#Int |Int]] index)''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:polytope#simple_roots_type_B |simple_roots_type_B]]([[.:common#Int |Int]] index)''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:polytope#simple_roots_type_C |simple_roots_type_C]]([[.:common#Int |Int]] index)''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:polytope#simple_roots_type_D |simple_roots_type_D]]([[.:common#Int |Int]] index)''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:polytope#simple_roots_type_E6 |simple_roots_type_E6]]()''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:polytope#simple_roots_type_E7 |simple_roots_type_E7]]()''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:polytope#simple_roots_type_E8 |simple_roots_type_E8]]()''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:polytope#simple_roots_type_F4 |simple_roots_type_F4]]()''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:polytope#simple_roots_type_G2 |simple_roots_type_G2]]()''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:polytope#simple_roots_type_H3 |simple_roots_type_H3]]()''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:polytope#simple_roots_type_H4 |simple_roots_type_H4]]()''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:topaz#simplex |simplex]]([[.:common#Int |Int]] d)''**|[[.:topaz|topaz]]|Functions|Producing from scratch|
|**''[[.:polytope#simplex |simplex]]([[.:common#Int |Int]] d, Scalar scale)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:polytope#simplexity_ilp |simplexity_ilp]]([[.:common#Int |Int]] d, [[.:common#Matrix |Matrix]] points, [[.:common#Array |Array]]<[[.:common#Set |Set]]> MIS, Scalar volume, [[.:common#SparseMatrix |SparseMatrix]] cocircuit_equations)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope#simplexity_ilp_with_angles |simplexity_ilp_with_angles]]([[.:common#Int |Int]] d, [[.:common#Matrix |Matrix]] V, [[.:common#Matrix |Matrix]] F, [[.:common#IncidenceMatrix |IncidenceMatrix]] VIF, [[.:common#IncidenceMatrix |IncidenceMatrix]] VIR, [[.:common#Array |Array]]<[[.:common#Array |Array]]<[[.:common#Int |Int]]%%>>%% gens, [[.:common#Array |Array]]<[[.:common#Set |Set]]> MIS, Scalar volume, [[.:common#SparseMatrix |SparseMatrix]] cocircuit_equations)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:group:Group#SIMPLEXITY_LOWER_BOUND |SIMPLEXITY_LOWER_BOUND]]''**|[[.:group|group]]|property of Group|Symmetry|
|**''[[.:polytope:Polytope#SIMPLEXITY_LOWER_BOUND |SIMPLEXITY_LOWER_BOUND]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:polytope:PointConfiguration#SIMPLEXITY_LOWER_BOUND |SIMPLEXITY_LOWER_BOUND]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Combinatorics|
|**''[[.:polytope:QuotientSpace#SIMPLEXITY_LOWER_BOUND |SIMPLEXITY_LOWER_BOUND]]''**|[[.:polytope|polytope]]|property of QuotientSpace|Combinatorics|
|**''[[.:polytope#simplexity_lower_bound |simplexity_lower_bound]]([[.:common#Int |Int]] d, [[.:common#Matrix |Matrix]] points, Scalar volume, [[.:common#SparseMatrix |SparseMatrix]] cocircuit_equations)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope:QuotientSpace#SIMPLICES |SIMPLICES]]''**|[[.:polytope|polytope]]|property of QuotientSpace|Combinatorics|
|**''[[.:fan:PolyhedralFan#SIMPLICIAL |SIMPLICIAL]]''**|[[.:fan|fan]]|property of PolyhedralFan|Combinatorics|
|**''[[.:polytope:Polytope#SIMPLICIAL |SIMPLICIAL]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:polytope:Cone#SIMPLICIAL |SIMPLICIAL]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:polytope:QuotientSpace#SIMPLICIAL_COMPLEX |SIMPLICIAL_COMPLEX]]''**|[[.:polytope|polytope]]|property of QuotientSpace|Combinatorics|
|**''[[.:polytope:Cone#SIMPLICIAL_CONE |SIMPLICIAL_CONE]]''**|[[.:polytope|polytope]]|property of Cone|Combinatorics|
|**''[[.:tropical#simplicial_diagonal_system |simplicial_diagonal_system]]([[.:tropical:Cycle |Cycle]]<Addition> fan)''**|[[.:tropical|tropical]]|Functions|Inverse problems|
|**''[[.:tropical#simplicial_piecewise_system |simplicial_piecewise_system]]([[.:tropical:Cycle |Cycle]]<Addition> F)''**|[[.:tropical|tropical]]|Functions|Inverse problems|
|**''[[.:topaz#simplicial_product |simplicial_product]]([[.:topaz:SimplicialComplex |SimplicialComplex]] complex1, [[.:topaz:SimplicialComplex |SimplicialComplex]] complex2)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:topaz#simplicial_product |simplicial_product]]<Scalar>([[.:topaz:GeometricSimplicialComplex |GeometricSimplicialComplex]] complex1, [[.:topaz:GeometricSimplicialComplex |GeometricSimplicialComplex]] complex2)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:tropical#simplicial_with_diagonal |simplicial_with_diagonal]]([[.:tropical:Cycle |Cycle]]<Addition> F)''**|[[.:tropical|tropical]]|Functions|Inverse problems|
|**''[[.:topaz:SimplicialComplex#SimplicialComplex |SimplicialComplex]]''**|[[.:topaz|topaz]]|Objects|no category|
|**''[[.:polytope:Polytope#SIMPLICIALITY |SIMPLICIALITY]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:polytope:Polytope#SIMPLICITY |SIMPLICITY]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:ideal#singular_eval |singular_eval]]([[.:common#String |String]] s)''**|[[.:ideal|ideal]]|Functions|Singular interface|
|**''[[.:ideal#singular_get_int |singular_get_int]]([[.:common#String |String]] s)''**|[[.:ideal|ideal]]|Functions|Singular interface|
|**''[[.:ideal#singular_get_var |singular_get_var]]([[.:common#String |String]] s)''**|[[.:ideal|ideal]]|Functions|Singular interface|
|**''[[.:ideal:Groebner#SINGULAR_IDEAL |SINGULAR_IDEAL]]''**|[[.:ideal|ideal]]|property of Groebner|Singular interface|
|**''[[.:common#singular_value_decomposition |singular_value_decomposition]]([[.:common#Matrix |Matrix]]<[[.:common#Float |Float]]> M)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:ideal#SingularIdeal |SingularIdeal]]''**|[[.:ideal|ideal]]|Property_types|Singular interface|
|**''[[.:common#SingularValueDecomposition |SingularValueDecomposition]]''**|[[.:common|common]]|Property_types|Linear Algebra|
|**''[[.:polytope:VoronoiPolyhedron#SITE_LABELS |SITE_LABELS]]''**|[[.:polytope|polytope]]|property of VoronoiPolyhedron|no category|
|**''[[.:tropical:VoronoiDiagram#SITES |SITES]]''**|[[.:tropical|tropical]]|property of VoronoiDiagram|no category|
|**''[[.:polytope:VoronoiPolyhedron#SITES |SITES]]''**|[[.:polytope|polytope]]|property of VoronoiPolyhedron|no category|
|**''[[.:topaz:MorseMatching#SIZE |SIZE]]''**|[[.:topaz|topaz]]|property of MorseMatching|no category|
|**''[[.:common#SparseVector |size]]()''**|[[.:common|common]]|method of SparseVector|no category|
|**''[[.:common#FacetList |size]]()''**|[[.:common|common]]|method of FacetList|no category|
|**''[[.:common#HashMap |size]]()''**|[[.:common|common]]|method of HashMap|no category|
|**''[[.:common#Set |size]]()''**|[[.:common|common]]|method of Set|no category|
|**''[[.:common#HashSet |size]]()''**|[[.:common|common]]|method of HashSet|no category|
|**''[[.:common#Array |size]]()''**|[[.:common|common]]|method of Array|no category|
|**''[[.:tropical#skeleton_complex |skeleton_complex]]([[.:tropical:Cycle |Cycle]]<Addition> C, [[.:common#Int |Int]] k, [[.:common#Bool |Bool]] preserveRays)''**|[[.:tropical|tropical]]|Functions|Basic polyhedral operations|
|**''[[.:common#sketch |sketch]]([[.:common:Visual_Object |Visual::Object]] vis_obj ...)''**|[[.:common|common]]|Functions|Visualization|
|**''[[.:polytope:Polytope#SLACK_IDEAL |SLACK_IDEAL]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:ideal#slack_ideal_non_saturated |slack_ideal_non_saturated]]''**|[[.:ideal|ideal]]|Functions|Singular interface|
|**''[[.:polytope:Polytope#SLACK_MATRIX |SLACK_MATRIX]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope:SlackIdeal#SlackIdeal |SlackIdeal]]''**|[[.:polytope|polytope]]|Objects|no category|
|**''[[.:common#Vector |slice]]([[.:common#Set |Set]] s)''**|[[.:common|common]]|method of Vector|no category|
|**''[[.:common#smith_normal_form |smith_normal_form]]([[.:common#Matrix |Matrix]] M, [[.:common#Bool |Bool]] inv)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:common#smith_normal_form_flint |smith_normal_form_flint]]([[.:common#Matrix |Matrix]] M)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:common#SmithNormalForm |SmithNormalForm]]<Scalar>''**|[[.:common|common]]|Property_types|Linear Algebra|
|**''[[.:fulton:NormalToricVariety#SMOOTH |SMOOTH]]''**|[[.:fulton|fulton]]|property of NormalToricVariety|Algebraic Geometry|
|**''[[.:polytope:Polytope#SMOOTH |SMOOTH]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in cones|
|**''[[.:polytope:Cone#SMOOTH_CONE |SMOOTH_CONE]]''**|[[.:polytope|polytope]]|property of Cone|Lattice points in cones|
|**''[[.:fan:PolyhedralFan#SMOOTH_FAN |SMOOTH_FAN]]''**|[[.:fan|fan]]|property of PolyhedralFan|Toric Varieties|
|**''[[.:polytope:Visual_SchlegelDiagram#SOLID |SOLID]]()''**|[[.:polytope|polytope]]|method of Visual::SchlegelDiagram|no category|
|**''[[.:ideal:Ideal#SOLVE |SOLVE]]''**|[[.:ideal|ideal]]|method of Ideal|no category|
|**''[[.:common#solve_left |solve_left]]([[.:common#Matrix |Matrix]] A, [[.:common#Matrix |Matrix]] B)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:common#solve_right |solve_right]]([[.:common#Matrix |Matrix]] A, [[.:common#Matrix |Matrix]] B)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:tropical#space_of_stable_maps |space_of_stable_maps]]<Addition>([[.:common#Int |Int]] n, [[.:common#Int |Int]] d, [[.:common#Int |Int]] r)''**|[[.:tropical|tropical]]|Functions|Moduli of rational curves|
|**''[[.:group#span_same_subspace |span_same_subspace]]([[.:common#Array |Array]]<[[.:common#HashMap |HashMap]]<SetType,[[.:common#Rational |Rational]]%%>>%% S1, [[.:common#Array |Array]]<[[.:common#HashMap |HashMap]]<SetType,[[.:common#Rational |Rational]]%%>>%% S2)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:polytope:Polytope#SPANNING |SPANNING]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in cones|
|**''[[.:group#spans_invariant_subspace |spans_invariant_subspace]]([[.:group:ImplicitActionOnSets |ImplicitActionOnSets]] a, [[.:common#Array |Array]]<[[.:common#HashMap |HashMap]]<[[.:common#Bitset |Bitset]],[[.:common#Rational |Rational]]%%>>%% S)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:group#sparse_isotypic_basis |sparse_isotypic_basis]]([[.:group:PermutationActionOnSets |PermutationActionOnSets]] rep, [[.:common#Int |Int]] i)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:group#sparse_isotypic_spanning_set |sparse_isotypic_spanning_set]]([[.:group:PermutationActionOnSets |PermutationActionOnSets]] rep, [[.:common#Int |Int]] i)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:group#sparse_isotypic_support |sparse_isotypic_support]]([[.:group:PermutationActionOnSets |PermutationActionOnSets]] rep, [[.:common#Int |Int]] i)''**|[[.:group|group]]|Functions|Symmetry|
|**''[[.:matroid:Matroid#SPARSE_PAVING |SPARSE_PAVING]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:common#SparseMatrix |SparseMatrix]]<Element, Sym>''**|[[.:common|common]]|Property_types|Algebraic Types|
|**''[[.:common#SparseVector |SparseVector]]<Element>''**|[[.:common|common]]|Property_types|Algebraic Types|
|**''[[.:polytope:Polytope#SPECIAL_FACETS |SPECIAL_FACETS]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:matroid#special_matroid |special_matroid]]([[.:common#String |String]] s)''**|[[.:matroid|matroid]]|Functions|Producing a matroid from scratch|
|**''[[.:topaz:HyperbolicSurface#SPECIAL_POINT |SPECIAL_POINT]]''**|[[.:topaz|topaz]]|property of HyperbolicSurface|no category|
|**''[[.:topaz:SimplicialComplex#SPHERE |SPHERE]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Topology|
|**''[[.:topaz#sphere |sphere]]([[.:common#Int |Int]] d)''**|[[.:topaz|topaz]]|Functions|Producing from scratch|
|**''[[.:polytope#spherize |spherize]]([[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:matroid:Matroid#SPLIT |SPLIT]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:polytope:Polytope#SPLIT_COMPATIBILITY_GRAPH |SPLIT_COMPATIBILITY_GRAPH]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope:PointConfiguration#SPLIT_COMPATIBILITY_GRAPH |SPLIT_COMPATIBILITY_GRAPH]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Combinatorics|
|**''[[.:polytope#split_compatibility_graph |split_compatibility_graph]]([[.:common#Matrix |Matrix]] splits, [[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:matroid:Matroid#SPLIT_FLACETS |SPLIT_FLACETS]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:polytope#split_polyhedron |split_polyhedron]]([[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope:Polytope#SPLITS |SPLITS]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope:PointConfiguration#SPLITS |SPLITS]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Combinatorics|
|**''[[.:polytope#splits |splits]]([[.:common#Matrix |Matrix]] V, [[.:graph:Graph |Graph]] G, [[.:common#Matrix |Matrix]] F, [[.:common#Int |Int]] dimension)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope#splits_in_subdivision |splits_in_subdivision]]([[.:common#Matrix |Matrix]] vertices, [[.:common#Array |Array]]<[[.:common#Set |Set]]<[[.:common#Int |Int]]%%>>%% subdivision, [[.:common#Matrix |Matrix]] splits)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:fan#splitstree |splitstree]]([[.:common:Visual_Object |Visual::Object]] vis_obj ...)''**|[[.:fan|fan]]|Functions|Visualization|
|**''[[.:graph#spring_embedder |spring_embedder]]([[.:common#Graph |Graph]]<[[.:common#Undirected |Undirected]]> graph)''**|[[.:graph|graph]]|Functions|Visualization|
|**''[[.:common#sqr |sqr]]([[.:common#Vector |Vector]]<//Scalar//> v)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:polytope:AffineLattice#SQUARED_DETERMINANT |SQUARED_DETERMINANT]]''**|[[.:polytope|polytope]]|property of AffineLattice|no category|
|**''[[.:polytope:Polytope#SQUARED_EDGE_LENGTHS |SQUARED_EDGE_LENGTHS]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope:Polytope#SQUARED_RELATIVE_VOLUMES |SQUARED_RELATIVE_VOLUMES]]''**|[[.:polytope|polytope]]|property of Polytope|Triangulation and volume|
|**''[[.:common#SparseMatrix |squeeze]]''**|[[.:common|common]]|method of SparseMatrix|no category|
|**''[[.:common#Graph |squeeze]]''**|[[.:common|common]]|method of Graph|no category|
|**''[[.:common#IncidenceMatrix |squeeze]]''**|[[.:common|common]]|method of IncidenceMatrix|no category|
|**''[[.:common#SparseMatrix |squeeze_cols]]''**|[[.:common|common]]|method of SparseMatrix|no category|
|**''[[.:common#IncidenceMatrix |squeeze_cols]]''**|[[.:common|common]]|method of IncidenceMatrix|no category|
|**''[[.:common#Graph |squeeze_isolated]]''**|[[.:common|common]]|method of Graph|no category|
|**''[[.:common#SparseMatrix |squeeze_rows]]''**|[[.:common|common]]|method of SparseMatrix|no category|
|**''[[.:common#IncidenceMatrix |squeeze_rows]]''**|[[.:common|common]]|method of IncidenceMatrix|no category|
|**''[[.:topaz#stabbing_order |stabbing_order]]([[.:topaz:GeometricSimplicialComplex |GeometricSimplicialComplex]] P)''**|[[.:topaz|topaz]]|Functions|Other|
|**''[[.:group#stabilizer_of_set |stabilizer_of_set]]([[.:group:PermutationAction |PermutationAction]] a, [[.:common#Set |Set]] S)''**|[[.:group|group]]|Functions|Producing a group|
|**''[[.:group#stabilizer_of_vector |stabilizer_of_vector]]([[.:group:PermutationAction |PermutationAction]] a, [[.:common#Vector |Vector]] v)''**|[[.:group|group]]|Functions|Producing a group|
|**''[[.:polytope#stable_set |stable_set]]([[.:graph:Graph |Graph]] G)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:polytope#stack |stack]]([[.:polytope:Polytope |Polytope]] P, [[.:common#Set |Set]]<[[.:common#Int |Int]]> stack_facets)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:polytope#staircase_weight |staircase_weight]]([[.:common#Int |Int]] k, [[.:common#Int |Int]] l)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:topaz#stanley_reisner |stanley_reisner]]([[.:topaz:SimplicialComplex |SimplicialComplex]] complex)''**|[[.:topaz|topaz]]|Functions|Other|
|**''[[.:topaz#star |star]]([[.:topaz:SimplicialComplex |SimplicialComplex]] complex, [[.:common#Set |Set]]<[[.:common#Int |Int]]> face)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:tropical#star_at_point |star_at_point]]([[.:tropical:Cycle |Cycle]]<Addition> C, [[.:common#Vector |Vector]]<[[.:common#Rational |Rational]]> v)''**|[[.:tropical|tropical]]|Functions|Local computations|
|**''[[.:tropical#star_at_vertex |star_at_vertex]]([[.:tropical:Cycle |Cycle]]<Addition> C, [[.:common#Int |Int]] i)''**|[[.:tropical|tropical]]|Functions|Local computations|
|**''[[.:topaz#star_deletion |star_deletion]]([[.:topaz:SimplicialComplex |SimplicialComplex]] complex, [[.:common#Set |Set]]<[[.:common#Int |Int]]> face)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:topaz#star_of_zero |star_of_zero]]([[.:topaz:GeometricSimplicialComplex |GeometricSimplicialComplex]] C)''**|[[.:topaz|topaz]]|Functions|Other|
|**''[[.:topaz#star_shaped_balls |star_shaped_balls]]([[.:topaz:GeometricSimplicialComplex |GeometricSimplicialComplex]] P)''**|[[.:topaz|topaz]]|Functions|Other|
|**''[[.:common#static |static]]([[.:common:Visual_Object |Visual::Object]] vis_obj)''**|[[.:common|common]]|Functions|Visualization|
|**''[[.:polytope:Visual_Polytope#STEINER |STEINER]]()''**|[[.:polytope|polytope]]|method of Visual::Polytope|no category|
|**''[[.:polytope:Visual_SchlegelDiagram#STEINER |STEINER]]()''**|[[.:polytope|polytope]]|method of Visual::SchlegelDiagram|no category|
|**''[[.:polytope:Polytope#STEINER_POINT |STEINER_POINT]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope#steiner_point |steiner_point]]([[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Geometry|
|**''[[.:polytope:Polytope#STEINER_POINTS |STEINER_POINTS]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope#stellar_all_faces |stellar_all_faces]]([[.:polytope:Polytope |Polytope]] P, [[.:common#Int |Int]] d)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:polytope#stellar_indep_faces |stellar_indep_faces]]([[.:polytope:Polytope |Polytope]] P, [[.:common#Array |Array]]<[[.:common#Set |Set]]<[[.:common#Int |Int]]%%>>%% in_faces)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:topaz#stellar_subdivision |stellar_subdivision]]([[.:topaz:SimplicialComplex |SimplicialComplex]] complex, [[.:common#Array |Array]]<[[.:common#Set |Set]]<[[.:common#Int |Int]]%%>>%% faces)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:topaz#stellar_subdivision |stellar_subdivision]]([[.:topaz:SimplicialComplex |SimplicialComplex]] complex, [[.:common#Set |Set]]<[[.:common#Int |Int]]> face)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:topaz:SimplicialComplex#STIEFEL_WHITNEY |STIEFEL_WHITNEY]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Topology|
|**''[[.:topaz#stiefel_whitney |stiefel_whitney]]([[.:common#Array |Array]]<[[.:common#Set |Set]]<[[.:common#Int |Int]]%%>>%% facets)''**|[[.:topaz|topaz]]|Functions|Other|
|**''[[.:tropical#stregular |stregular]]([[.:common#Matrix |Matrix]]<[[.:common#TropicalNumber |TropicalNumber]]> matrix)''**|[[.:tropical|tropical]]|Functions|Tropical operations|
|**''[[.:matroid:Matroid#STRICT_GAMMOID |STRICT_GAMMOID]]''**|[[.:matroid|matroid]]|method of Matroid|Advanced properties|
|**''[[.:common#String |String]]''**|[[.:common|common]]|Property_types|Basic Types|
|**''[[.:graph:Graph#STRONG_COMPONENTS |STRONG_COMPONENTS]]''**|[[.:graph|graph]]|property of Graph|no category|
|**''[[.:group:PermutationAction#STRONG_GENERATORS |STRONG_GENERATORS]]''**|[[.:group|group]]|property of PermutationAction|no category|
|**''[[.:graph:Graph#STRONGLY_CONNECTED |STRONGLY_CONNECTED]]''**|[[.:graph|graph]]|property of Graph|no category|
|**''[[.:topaz:Visual_SimplicialComplex#SUBCOMPLEX |SUBCOMPLEX]]([[.:common#String |String]] PROPERTY_NAME)''**|[[.:topaz|topaz]]|method of Visual::SimplicialComplex|no category|
|**''[[.:topaz:Visual_SimplicialComplexLattice#SUBCOMPLEX |SUBCOMPLEX]]([[.:common#String |String]] property)''**|[[.:topaz|topaz]]|method of Visual::SimplicialComplexLattice|no category|
|**''[[.:polytope#subcone |subcone]]([[.:polytope:Cone |Cone]] C)''**|[[.:polytope|polytope]]|Functions|Producing a cone|
|**''[[.:tropical#subcramer |subcramer]]([[.:common#Matrix |Matrix]]<[[.:common#TropicalNumber |TropicalNumber]]<Addition,Scalar%%>>%% m, [[.:common#Set |Set]]<[[.:common#Int |Int]]> J, [[.:common#Set |Set]]<[[.:common#Int |Int]]> I)''**|[[.:tropical|tropical]]|Functions|Tropical operations|
|**''[[.:matroid:ValuatedMatroid#SUBDIVISION |SUBDIVISION]]''**|[[.:matroid|matroid]]|property of ValuatedMatroid|Combinatorics|
|**''[[.:fan:SubdivisionOfPoints#SubdivisionOfPoints |SubdivisionOfPoints]]<Scalar>''**|[[.:fan|fan]]|Objects|Geometry|
|**''[[.:fan:SubdivisionOfVectors#SubdivisionOfVectors |SubdivisionOfVectors]]<Scalar>''**|[[.:fan|fan]]|Objects|Geometry|
|**''[[.:polytope:Polytope#SUBRIDGE_SIZES |SUBRIDGE_SIZES]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:common#UniPolynomial |substitute]]''**|[[.:common|common]]|method of UniPolynomial|no category|
|**''[[.:common#Polynomial |substitute]]''**|[[.:common|common]]|method of Polynomial|no category|
|**''[[.:tropical#sum_curves |sum_curves]]([[.:tropical:RationalCurve |RationalCurve]] An, [[.:common#Vector |Vector]]<[[.:common#Rational |Rational]]> v)''**|[[.:tropical|tropical]]|Functions|Abstract rational curves|
|**''[[.:common#sum_of_square_roots_naive |sum_of_square_roots_naive]]([[.:common#Array |Array]]<[[.:common#Rational |Rational]]> input_array)''**|[[.:common|common]]|Functions|Arithmetic|
|**''[[.:polytope:PropagatedPolytope#SUM_PRODUCT_GRAPH |SUM_PRODUCT_GRAPH]]''**|[[.:polytope|polytope]]|property of PropagatedPolytope|no category|
|**''[[.:topaz#sum_triangulation |sum_triangulation]]([[.:topaz:GeometricSimplicialComplex |GeometricSimplicialComplex]] P, [[.:topaz:GeometricSimplicialComplex |GeometricSimplicialComplex]] Q, [[.:common#IncidenceMatrix |IncidenceMatrix]] WebOfStars)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:fan:HyperplaneArrangement#SUPPORT |SUPPORT]]''**|[[.:fan|fan]]|property of HyperplaneArrangement|Input property|
|**''[[.:common#support |support]]([[.:common#Vector |Vector]] v)''**|[[.:common|common]]|Functions|Data Conversion|
|**''[[.:topaz:SimplicialComplex#SURFACE |SURFACE]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Topology|
|**''[[.:topaz#surface |surface]]([[.:common#Int |Int]] g)''**|[[.:topaz|topaz]]|Functions|Producing from scratch|
|**''[[.:topaz#suspension |suspension]]([[.:topaz:SimplicialComplex |SimplicialComplex]] complex, [[.:common#Int |Int]] k)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:common#svg |svg]]([[.:common:Visual_Object |Visual::Object]] vis_obj ...)''**|[[.:common|common]]|Functions|Visualization|
|**''[[.:group:PermutationAction#SWITCH_TABLE |SWITCH_TABLE]]''**|[[.:group|group]]|property of PermutationAction|Orbits|
|**''[[.:group#SwitchTable |SwitchTable]]''**|[[.:group|group]]|Property_types|no category|
|**''[[.:common#Symmetric |Symmetric]]''**|[[.:common|common]]|Property_types|Artificial|
|**''[[.:polytope:Polytope#SYMMETRIC_FACETS |SYMMETRIC_FACETS]]''**|[[.:polytope|polytope]]|property of Polytope|Symmetry|
|**''[[.:group#symmetric_group |symmetric_group]]([[.:common#Int |Int]] d)''**|[[.:group|group]]|Functions|Producing a group|
|**''[[.:polytope:Polytope#SYMMETRIC_RAYS |SYMMETRIC_RAYS]]''**|[[.:polytope|polytope]]|property of Polytope|Symmetry|
|**''[[.:polytope:Polytope#SYMMETRIZED_COCIRCUIT_EQUATIONS |SYMMETRIZED_COCIRCUIT_EQUATIONS]]''**|[[.:polytope|polytope]]|property of Polytope|Symmetry|
|**''[[.:polytope:PointConfiguration#SYMMETRIZED_COCIRCUIT_EQUATIONS |SYMMETRIZED_COCIRCUIT_EQUATIONS]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Symmetry|
|**''[[.:polytope#symmetrized_cocircuit_equations |symmetrized_cocircuit_equations]]<Scalar>([[.:polytope:Cone |Cone]] P, [[.:common#Set |Set]]<[[.:common#Int |Int]]> comps)''**|[[.:polytope|polytope]]|Functions|Symmetry|
|**''[[.:polytope#symmetrized_foldable_max_signature_ilp |symmetrized_foldable_max_signature_ilp]]([[.:common#Int |Int]] d, [[.:common#Matrix |Matrix]] points, [[.:common#Rational |Rational]] volume, [[.:common#Array |Array]]<[[.:common#Array |Array]]<[[.:common#Int |Int]]%%>>%% generators, [[.:common#SparseMatrix |SparseMatrix]] symmetrized_foldable_cocircuit_equations)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope#symmetrized_foldable_max_signature_upper_bound |symmetrized_foldable_max_signature_upper_bound]]([[.:common#Int |Int]] d, [[.:common#Matrix |Matrix]] points, [[.:common#Rational |Rational]] volume, [[.:common#SparseMatrix |SparseMatrix]] cocircuit_equations)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope:SymmetrizedCocircuitEquations#SymmetrizedCocircuitEquations |SymmetrizedCocircuitEquations]]''**|[[.:polytope|polytope]]|Objects|Symmetry|
|**''[[.:fan:PolyhedralFan#SYMMETRY_GENERATORS |SYMMETRY_GENERATORS]]''**|[[.:fan|fan]]|property of PolyhedralFan|Symmetry|
|**''[[.:fan:PolyhedralFan#SYMMETRY_GROUP |SYMMETRY_GROUP]]''**|[[.:fan|fan]]|property of PolyhedralFan|Symmetry|
|**''[[.:polytope:QuotientSpace#SYMMETRY_GROUP |SYMMETRY_GROUP]]''**|[[.:polytope|polytope]]|property of QuotientSpace|Combinatorics|
|**''[[.:matroid#t8_matroid |t8_matroid]]()''**|[[.:matroid|matroid]]|Functions|Producing a matroid from scratch|
|**''[[.:tropical#tdehomog |tdehomog]]([[.:common#Matrix |Matrix]]<[[.:common#Rational |Rational]]> A, [[.:common#Int |Int]] chart, [[.:common#Bool |Bool]] has_leading_coordinate)''**|[[.:tropical|tropical]]|Functions|Affine and projective coordinates|
|**''[[.:tropical#tdet |tdet]]([[.:common#Matrix |Matrix]]<[[.:common#TropicalNumber |TropicalNumber]]> matrix)''**|[[.:tropical|tropical]]|Functions|Tropical operations|
|**''[[.:tropical#tdet_and_perm |tdet_and_perm]]([[.:common#Matrix |Matrix]]<[[.:common#TropicalNumber |TropicalNumber]]> matrix)''**|[[.:tropical|tropical]]|Functions|Tropical operations|
|**''[[.:tropical#tdet_and_perms |tdet_and_perms]]([[.:common#Matrix |Matrix]]<[[.:common#TropicalNumber |TropicalNumber]]> matrix)''**|[[.:tropical|tropical]]|Functions|Tropical operations|
|**''[[.:tropical#tdiam |tdiam]]([[.:common#Matrix |Matrix]]<[[.:common#TropicalNumber |TropicalNumber]]<Addition,Scalar%%>>%% matrix)''**|[[.:tropical|tropical]]|Functions|Tropical operations|
|**''[[.:tropical#tdist |tdist]]([[.:common#Vector |Vector]]<[[.:common#TropicalNumber |TropicalNumber]]<Addition,Scalar%%>>%% v, [[.:common#Vector |Vector]]<[[.:common#TropicalNumber |TropicalNumber]]<Addition,Scalar%%>>%% w)''**|[[.:tropical|tropical]]|Functions|Tropical operations|
|**''[[.:fulton:TDivisor#TDivisor |TDivisor]]''**|[[.:fulton|fulton]]|Objects|no category|
|**''[[.:polytope#tensor |tensor]]([[.:polytope:Polytope |Polytope]] P1, [[.:polytope:Polytope |Polytope]] P2)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:polytope:GroebnerBasis#TERM_ORDER_MATRIX |TERM_ORDER_MATRIX]]''**|[[.:polytope|polytope]]|property of GroebnerBasis|no category|
|**''[[.:polytope:GroebnerBasis#TERM_ORDER_NAME |TERM_ORDER_NAME]]''**|[[.:polytope|polytope]]|property of GroebnerBasis|no category|
|**''[[.:polytope:Polytope#TERMINAL |TERMINAL]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in cones|
|**''[[.:matroid:Matroid#TERNARY |TERNARY]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:matroid:Matroid#TERNARY_VECTORS |TERNARY_VECTORS]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:tropical#testFourPointCondition |testFourPointCondition]]([[.:common#Vector |Vector]]<[[.:common#Rational |Rational]]> v)''**|[[.:tropical|tropical]]|Functions|Abstract rational curves|
|**''[[.:polytope#tetrahedron |tetrahedron]]()''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:common#Text |Text]]''**|[[.:common|common]]|Property_types|Basic Types|
|**''[[.:tropical#thomog |thomog]]([[.:common#Matrix |Matrix]]<[[.:common#Rational |Rational]]> A, [[.:common#Int |Int]] chart, [[.:common#Bool |Bool]] has_leading_coordinate)''**|[[.:tropical|tropical]]|Functions|Affine and projective coordinates|
|**''[[.:fan#thrackle_metric |thrackle_metric]]([[.:common#Int |Int]] n)''**|[[.:fan|fan]]|Functions|Finite metric spaces|
|**''[[.:common#threejs |threejs]]([[.:common:Visual_Object |Visual::Object]] vis_obj)''**|[[.:common|common]]|Functions|Visualization|
|**''[[.:fan:SubdivisionOfPoints#TIGHT_SPAN |TIGHT_SPAN]]''**|[[.:fan|fan]]|property of SubdivisionOfPoints|Geometry|
|**''[[.:polytope#tight_span_envelope |tight_span_envelope]]([[.:fan:SubdivisionOfPoints |SubdivisionOfPoints]] sd)''**|[[.:polytope|polytope]]|Functions|Finite metric spaces|
|**''[[.:fan#tight_span_max_metric |tight_span_max_metric]]([[.:common#Int |Int]] n)''**|[[.:fan|fan]]|Functions|Finite metric spaces|
|**''[[.:fan#tight_span_min_metric |tight_span_min_metric]]([[.:common#Int |Int]] n)''**|[[.:fan|fan]]|Functions|Finite metric spaces|
|**''[[.:fan#tight_span_thrackle_metric |tight_span_thrackle_metric]]([[.:common#Int |Int]] n)''**|[[.:fan|fan]]|Functions|Finite metric spaces|
|**''[[.:common#tikz |tikz]]([[.:common:Visual_Object |Visual::Object]] vis_obj)''**|[[.:common|common]]|Functions|Visualization|
|**''[[.:polytope:Polytope#TILING_LATTICE |TILING_LATTICE]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:fan#tiling_quotient |tiling_quotient]]<Coord>([[.:polytope:Polytope |Polytope]] P, [[.:polytope:Polytope |Polytope]] Q)''**|[[.:fan|fan]]|Functions|Producing a polyhedral complex|
|**''[[.:common#toMatrix |toMatrix]]<Scalar>([[.:common#IncidenceMatrix |IncidenceMatrix]] A)''**|[[.:common|common]]|Functions|Data Conversion|
|**''[[.:graph:Lattice#TOP_NODE |TOP_NODE]]''**|[[.:graph|graph]]|property of Lattice|Combinatorics|
|**''[[.:polytope#topcom_all_triangulations |topcom_all_triangulations]]([[.:polytope:PointConfiguration |PointConfiguration]] pc)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope#topcom_fine_and_connected_triangulations |topcom_fine_and_connected_triangulations]]([[.:polytope:PointConfiguration |PointConfiguration]] pc)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope#topcom_input_format |topcom_input_format]]([[.:polytope:Cone |Cone]] P)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope#topcom_regular_and_connected_triangulations |topcom_regular_and_connected_triangulations]]([[.:polytope:PointConfiguration |PointConfiguration]] pc)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope:Cone#TORIC_IDEAL |TORIC_IDEAL]]''**|[[.:polytope|polytope]]|property of Cone|Algebraic Geometry|
|**''[[.:topaz#HomologyGroup |torsion]]()''**|[[.:topaz|topaz]]|method of HomologyGroup|no category|
|**''[[.:common#SmithNormalForm |torsion]]()''**|[[.:common|common]]|method of SmithNormalForm|no category|
|**''[[.:topaz#torus |torus]]()''**|[[.:topaz|topaz]]|Functions|Producing from scratch|
|**''[[.:tropical:Polytope#TORUS_COVECTOR_DECOMPOSITION |TORUS_COVECTOR_DECOMPOSITION]]''**|[[.:tropical|tropical]]|property of Polytope|Combinatorics|
|**''[[.:tropical:Polytope#torus_subdivision_as_complex |torus_subdivision_as_complex]]([[.:common#Int |Int]] chart)''**|[[.:tropical|tropical]]|method of Polytope|Geometry|
|**''[[.:polytope:Polytope#TOTAL_LENGTH |TOTAL_LENGTH]]''**|[[.:polytope|polytope]]|property of Polytope|no category|
|**''[[.:fulton:VersalComponent#TOTAL_SPACE |TOTAL_SPACE]]''**|[[.:fulton|fulton]]|property of VersalComponent|Algebraic Geometry|
|**''[[.:polytope#totally_dual_integral |totally_dual_integral]]([[.:common#Matrix |Matrix]] inequalities)''**|[[.:polytope|polytope]]|Functions|Optimization|
|**''[[.:common#totally_unimodular |totally_unimodular]]([[.:common#Matrix |Matrix]] A)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:common#toTropicalPolynomial |toTropicalPolynomial]]([[.:common#String |String]] s, [[.:common#String |String]] vars)''**|[[.:common|common]]|Functions|Data Conversion|
|**''[[.:common#toVector |toVector]]<Scalar>([[.:common#Set |Set]] S, [[.:common#Int |Int]] d)''**|[[.:common|common]]|Functions|Data Conversion|
|**''[[.:polytope:Polytope#TOWARDS_FAR_FACE |TOWARDS_FAR_FACE]]''**|[[.:polytope|polytope]]|property of Polytope|Unbounded polyhedra|
|**''[[.:common#trace |trace]]([[.:common#Matrix |Matrix]] A)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:polytope:SchlegelDiagram#TRANSFORM |TRANSFORM]]''**|[[.:polytope|polytope]]|property of SchlegelDiagram|no category|
|**''[[.:polytope#transform |transform]]([[.:polytope:Polytope |Polytope]] P, [[.:common#Matrix |Matrix]] trans, [[.:common#Bool |Bool]] store)''**|[[.:polytope|polytope]]|Functions|Transformations|
|**''[[.:tropical:Morphism#TRANSLATE |TRANSLATE]]''**|[[.:tropical|tropical]]|property of Morphism|Defining morphisms and functions|
|**''[[.:polytope#translate |translate]]([[.:polytope:Polytope |Polytope]] P, [[.:common#Vector |Vector]] trans, [[.:common#Bool |Bool]] store)''**|[[.:polytope|polytope]]|Functions|Transformations|
|**''[[.:polytope:PropagatedPolytope#TRANSLATIONS |TRANSLATIONS]]''**|[[.:polytope|polytope]]|property of PropagatedPolytope|no category|
|**''[[.:polytope#transportation |transportation]]([[.:common#Vector |Vector]] r, [[.:common#Vector |Vector]] c)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:common#transpose |transpose]]([[.:common#IncidenceMatrix |IncidenceMatrix]] A)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:common#transpose |transpose]]([[.:common#Matrix |Matrix]] A)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:matroid:Matroid#TRANSVERSAL |TRANSVERSAL]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:matroid:Matroid#TRANSVERSAL_PRESENTATION |TRANSVERSAL_PRESENTATION]]''**|[[.:matroid|matroid]]|property of Matroid|Input properties|
|**''[[.:group:PermutationAction#TRANSVERSAL_SIZES |TRANSVERSAL_SIZES]]''**|[[.:group|group]]|property of PermutationAction|no category|
|**''[[.:group:PermutationAction#TRANSVERSALS |TRANSVERSALS]]''**|[[.:group|group]]|property of PermutationAction|no category|
|**''[[.:tropical#tregular |tregular]]([[.:common#Matrix |Matrix]]<[[.:common#TropicalNumber |TropicalNumber]]> matrix)''**|[[.:tropical|tropical]]|Functions|Tropical operations|
|**''[[.:topaz#triang_neighborhood |triang_neighborhood]]([[.:topaz:SimplicialComplex |SimplicialComplex]] complex, [[.:common#Rational |Rational]] width)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:graph:Graph#TRIANGLE_FREE |TRIANGLE_FREE]]''**|[[.:graph|graph]]|property of Graph|no category|
|**''[[.:polytope:Cone#TRIANGLE_FREE |TRIANGLE_FREE]]()''**|[[.:polytope|polytope]]|method of Cone|Backward compatibility|
|**''[[.:fulton:VersalComponent#TRIANGLES |TRIANGLES]]''**|[[.:fulton|fulton]]|property of VersalComponent|Combinatorics|
|**''[[.:tropical#triangulate_cycle |triangulate_cycle]]([[.:tropical:Cycle |Cycle]]<Addition> F)''**|[[.:tropical|tropical]]|Functions|Basic polyhedral operations|
|**''[[.:polytope:Polytope#TRIANGULATION |TRIANGULATION]]''**|[[.:polytope|polytope]]|property of Polytope|Triangulation and volume|
|**''[[.:polytope:Cone#TRIANGULATION |TRIANGULATION]]''**|[[.:polytope|polytope]]|property of Cone|Triangulation and volume|
|**''[[.:polytope:PointConfiguration#TRIANGULATION |TRIANGULATION]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Triangulation and volume|
|**''[[.:polytope:Visual_Polytope#TRIANGULATION |TRIANGULATION]]([[.:common#Array |Array]]<[[.:common#Set |Set]]<[[.:common#Int |Int]]%%>>%% t)''**|[[.:polytope|polytope]]|method of Visual::Polytope|no category|
|**''[[.:polytope:Visual_PointConfiguration#TRIANGULATION |TRIANGULATION]]([[.:common#Array |Array]]<[[.:common#Set |Set]]<[[.:common#Int |Int]]%%>>%% t)''**|[[.:polytope|polytope]]|method of Visual::PointConfiguration|no category|
|**''[[.:polytope:Visual_Polytope#TRIANGULATION_BOUNDARY |TRIANGULATION_BOUNDARY]]()''**|[[.:polytope|polytope]]|method of Visual::Polytope|no category|
|**''[[.:polytope:Visual_SchlegelDiagram#TRIANGULATION_BOUNDARY |TRIANGULATION_BOUNDARY]]()''**|[[.:polytope|polytope]]|method of Visual::SchlegelDiagram|no category|
|**''[[.:polytope:Visual_SchlegelDiagram#TRIANGULATION_BOUNDARY_SOLID |TRIANGULATION_BOUNDARY_SOLID]]()''**|[[.:polytope|polytope]]|method of Visual::SchlegelDiagram|no category|
|**''[[.:polytope:Cone#TRIANGULATION_INT |TRIANGULATION_INT]]''**|[[.:polytope|polytope]]|property of Cone|Triangulation and volume|
|**''[[.:polytope:Polytope#TRIANGULATION_INT_SIGNS |TRIANGULATION_INT_SIGNS]]()''**|[[.:polytope|polytope]]|method of Polytope|Triangulation and volume|
|**''[[.:common#Polynomial |trivial]]()''**|[[.:common|common]]|method of Polynomial|no category|
|**''[[.:polytope:Cone#TRIVIAL |TRIVIAL]]''**|[[.:polytope|polytope]]|property of Cone|Geometry|
|**''[[.:matroid#trivial_valuation |trivial_valuation]]<Addition, Scalar>([[.:matroid:Matroid |Matroid]] M)''**|[[.:matroid|matroid]]|Functions|Producing a matroid from matroids|
|**''[[.:tropical#trop_witness |trop_witness]]<Addition, Scalar>([[.:common#Matrix |Matrix]]<[[.:common#TropicalNumber |TropicalNumber]]<Addition,Scalar%%>>%% m, [[.:common#Array |Array]]<[[.:common#Int  |Int ]]> t, [[.:common#Int |Int]] start)''**|[[.:tropical|tropical]]|Functions|Tropical operations|
|**''[[.:tropical#trop_witness |trop_witness]]<Addition, Scalar>([[.:common#Matrix |Matrix]]<[[.:common#TropicalNumber |TropicalNumber]]<Addition,Scalar%%>>%% m, [[.:common#Array |Array]]<[[.:common#Int  |Int ]]> t, [[.:common#Int |Int]] start)''**|[[.:tropical|tropical]]|Functions|Tropical operations|
|**''[[.:common#TropicalNumber |TropicalNumber]]<Addition, Scalar>''**|[[.:common|common]]|Property_types|Arithmetic|
|**''[[.:polytope#truncated_cube |truncated_cube]]()''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:polytope#truncated_cuboctahedron |truncated_cuboctahedron]]()''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:polytope#truncated_dodecahedron |truncated_dodecahedron]]()''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:polytope#truncated_icosahedron |truncated_icosahedron]]()''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:polytope#truncated_icosidodecahedron |truncated_icosidodecahedron]]()''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:polytope#truncated_octahedron |truncated_octahedron]]()''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:polytope#truncated_orbit_polytope |truncated_orbit_polytope]]([[.:polytope:Polytope |Polytope]] P, Scalar eps)''**|[[.:polytope|polytope]]|Functions|Symmetry|
|**''[[.:matroid#truncation |truncation]]([[.:matroid:Matroid |Matroid]] M)''**|[[.:matroid|matroid]]|Functions|Producing a matroid from matroids|
|**''[[.:polytope#truncation |truncation]]([[.:polytope:Polytope |Polytope]] P, [[.:common#Set |Set]]<[[.:common#Int |Int]]> trunc_vertices)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:tropical#tsgn |tsgn]]([[.:common#Matrix |Matrix]]<[[.:common#TropicalNumber |TropicalNumber]]> matrix)''**|[[.:tropical|tropical]]|Functions|Tropical operations|
|**''[[.:fan#tubes_of_graph |tubes_of_graph]]([[.:graph:Graph |Graph]] G)''**|[[.:fan|fan]]|Functions|Other|
|**''[[.:fan#tubes_of_tubing |tubes_of_tubing]]([[.:graph:Graph |Graph]] G, [[.:graph:Graph |Graph]] T)''**|[[.:fan|fan]]|Functions|Other|
|**''[[.:fan#tubing_of_graph |tubing_of_graph]]([[.:graph:Graph |Graph]] G)''**|[[.:fan|fan]]|Functions|Other|
|**''[[.:polytope#tutte_lifting |tutte_lifting]]([[.:graph:Graph |Graph]] G)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from graphs|
|**''[[.:matroid:Matroid#TUTTE_POLYNOMIAL |TUTTE_POLYNOMIAL]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:polytope:Polytope#TWO_FACE_SIZES |TWO_FACE_SIZES]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:matroid#two_sum |two_sum]]([[.:matroid:Matroid |Matroid]] m_1, [[.:common#Int |Int]] e_1, [[.:matroid:Matroid |Matroid]] m_2, [[.:common#Int |Int]] e_2)''**|[[.:matroid|matroid]]|Functions|Producing a matroid from matroids|
|**''[[.:polytope:Polytope#UNBOUNDED_FACETS |UNBOUNDED_FACETS]]''**|[[.:polytope|polytope]]|property of Polytope|Unbounded polyhedra|
|**''[[.:core#unconfigure |unconfigure]]([[.:common#String |String]] rulename)''**|[[.:core|core]]|Functions|Interactive|
|**''[[.:common#Undirected |Undirected]]''**|[[.:common|common]]|Property_types|Artificial|
|**''[[.:common#UndirectedMulti |UndirectedMulti]]''**|[[.:common|common]]|Property_types|Artificial|
|**''[[.:matroid:Matroid#UNIFORM |UNIFORM]]''**|[[.:matroid|matroid]]|property of Matroid|Advanced properties|
|**''[[.:tropical#uniform_linear_space |uniform_linear_space]]<Addition>([[.:common#Int |Int]] n, [[.:common#Int |Int]] k, [[.:common#Integer |Integer]] weight)''**|[[.:tropical|tropical]]|Functions|Creation functions for specific cycles|
|**''[[.:matroid#uniform_matroid |uniform_matroid]]([[.:common#Int |Int]] r, [[.:common#Int |Int]] n)''**|[[.:matroid|matroid]]|Functions|Producing a matroid from scratch|
|**''[[.:topaz:GeometricSimplicialComplex#UNIMODULAR |UNIMODULAR]]''**|[[.:topaz|topaz]]|property of GeometricSimplicialComplex|no category|
|**''[[.:topaz#union |union]]([[.:topaz:SimplicialComplex |SimplicialComplex]] complex1, [[.:topaz:SimplicialComplex |SimplicialComplex]] complex2)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:matroid#union |union]]([[.:matroid:Matroid |Matroid]] M)''**|[[.:matroid|matroid]]|Functions|Producing a matroid from matroids|
|**''[[.:common#UniPolynomial |UniPolynomial]]<Coefficient, Exponent>''**|[[.:common|common]]|Property_types|Algebraic Types|
|**''[[.:polytope#unirand |unirand]]([[.:polytope:Polytope |Polytope]] P, [[.:common#Int |Int]] n)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:common#unit_matrix |unit_matrix]]<Element>([[.:common#Int |Int]] d)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:common#unit_vector |unit_vector]]<Element>([[.:common#Int |Int]] d, [[.:common#Int |Int]] pos)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:polytope#universal_polytope |universal_polytope]]<Scalar>([[.:polytope:PointConfiguration |PointConfiguration]]<Scalar> PC)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope#universal_polytope |universal_polytope]]([[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:polytope#universal_polytope |universal_polytope]]([[.:polytope:Polytope |Polytope]] P, [[.:common#Array |Array]]<[[.:common#Set |Set]]> reps, [[.:common#SparseMatrix |SparseMatrix]] cocircuit_equations)''**|[[.:polytope|polytope]]|Functions|Triangulations, subdivisions and volume|
|**''[[.:topaz#unknot |unknot]]([[.:common#Int |Int]] m, [[.:common#Int |Int]] n)''**|[[.:topaz|topaz]]|Functions|Producing from scratch|
|**''[[.:polytope#upper_bound_theorem |upper_bound_theorem]]([[.:common#Int |Int]] d, [[.:common#Int |Int]] n)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:common#PuiseuxFraction |val]]()''**|[[.:common|common]]|method of PuiseuxFraction|no category|
|**''[[.:tropical:Polytope#VALID_POINT |VALID_POINT]]''**|[[.:tropical|tropical]]|property of Polytope|Geometry|
|**''[[.:polytope:Polytope#VALID_POINT |VALID_POINT]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope#validate_moebius_strip |validate_moebius_strip]]([[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Consistency check|
|**''[[.:polytope#validate_moebius_strip_quads |validate_moebius_strip_quads]]([[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Consistency check|
|**''[[.:matroid:ValuatedMatroid#ValuatedMatroid |ValuatedMatroid]]<Addition, Scalar>''**|[[.:matroid|matroid]]|Objects|no category|
|**''[[.:matroid:ValuatedMatroid#VALUATION_ON_BASES |VALUATION_ON_BASES]]''**|[[.:matroid|matroid]]|property of ValuatedMatroid|Valuation|
|**''[[.:matroid:ValuatedMatroid#VALUATION_ON_CIRCUITS |VALUATION_ON_CIRCUITS]]''**|[[.:matroid|matroid]]|property of ValuatedMatroid|Valuation|
|**''[[.:matroid#vamos_matroid |vamos_matroid]]()''**|[[.:matroid|matroid]]|Functions|Producing a matroid from scratch|
|**''[[.:common#Vector |Vector]]<Element>''**|[[.:common|common]]|Property_types|Algebraic Types|
|**''[[.:common#vector2col |vector2col]]([[.:common#Vector |Vector]] v)''**|[[.:common|common]]|Functions|Data Conversion|
|**''[[.:common#vector2row |vector2row]]([[.:common#Vector |Vector]] v)''**|[[.:common|common]]|Functions|Data Conversion|
|**''[[.:group:Group#VECTOR_ACTION |VECTOR_ACTION]]''**|[[.:group|group]]|property of Group|Symmetry|
|**''[[.:fan:SubdivisionOfVectors#VECTOR_AMBIENT_DIM |VECTOR_AMBIENT_DIM]]''**|[[.:fan|fan]]|property of SubdivisionOfVectors|Geometry|
|**''[[.:polytope:VectorConfiguration#VECTOR_AMBIENT_DIM |VECTOR_AMBIENT_DIM]]''**|[[.:polytope|polytope]]|property of VectorConfiguration|Geometry|
|**''[[.:fan:SubdivisionOfVectors#VECTOR_DIM |VECTOR_DIM]]''**|[[.:fan|fan]]|property of SubdivisionOfVectors|Geometry|
|**''[[.:polytope:VectorConfiguration#VECTOR_DIM |VECTOR_DIM]]''**|[[.:polytope|polytope]]|property of VectorConfiguration|Geometry|
|**''[[.:polytope:VectorConfiguration#VectorConfiguration |VectorConfiguration]]<Scalar>''**|[[.:polytope|polytope]]|Objects|Geometry|
|**''[[.:fan:SubdivisionOfVectors#VECTORS |VECTORS]]''**|[[.:fan|fan]]|property of SubdivisionOfVectors|Geometry|
|**''[[.:matroid:Matroid#VECTORS |VECTORS]]''**|[[.:matroid|matroid]]|property of Matroid|Input properties|
|**''[[.:polytope:VectorConfiguration#VECTORS |VECTORS]]''**|[[.:polytope|polytope]]|property of VectorConfiguration|Input property|
|**''[[.:group:MatrixActionOnVectors#VECTORS_ORBITS |VECTORS_ORBITS]]''**|[[.:group|group]]|property of MatrixActionOnVectors|Symmetry|
|**''[[.:fulton:CyclicQuotient#VERSAL_COMPONENT |VERSAL_COMPONENT]]''**|[[.:fulton|fulton]]|property of CyclicQuotient|Algebraic Geometry|
|**''[[.:fulton:CyclicQuotient#VERSAL_COMPONENTS |VERSAL_COMPONENTS]]''**|[[.:fulton|fulton]]|property of CyclicQuotient|Algebraic Geometry|
|**''[[.:fulton:VersalComponent#VersalComponent |VersalComponent]]''**|[[.:fulton|fulton]]|Objects|no category|
|**''[[.:polytope:Polytope#VERTEX_BARYCENTER |VERTEX_BARYCENTER]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope:Visual_Polytope#VERTEX_COLORS |VERTEX_COLORS]]([[.:polytope:LinearProgram |LinearProgram]] lp)''**|[[.:polytope|polytope]]|method of Visual::Polytope|no category|
|**''[[.:polytope:Visual_PolytopeGraph#VERTEX_COLORS |VERTEX_COLORS]]([[.:polytope:LinearProgram |LinearProgram]] lp)''**|[[.:polytope|polytope]]|method of Visual::PolytopeGraph|no category|
|**''[[.:polytope:Visual_SchlegelDiagram#VERTEX_COLORS |VERTEX_COLORS]]([[.:polytope:LinearProgram |LinearProgram]] lp)''**|[[.:polytope|polytope]]|method of Visual::SchlegelDiagram|no category|
|**''[[.:polytope#vertex_colors |vertex_colors]]([[.:polytope:Polytope |Polytope]] P, [[.:polytope:LinearProgram |LinearProgram]] LP)''**|[[.:polytope|polytope]]|Functions|Optimization|
|**''[[.:topaz:SimplicialComplex#VERTEX_DEGREES |VERTEX_DEGREES]]()''**|[[.:topaz|topaz]]|method of SimplicialComplex|Combinatorics|
|**''[[.:polytope:Cone#VERTEX_DEGREES |VERTEX_DEGREES]]()''**|[[.:polytope|polytope]]|method of Cone|Combinatorics|
|**''[[.:polytope#vertex_figure |vertex_figure]]([[.:polytope:Polytope |Polytope]] p, [[.:common#Int |Int]] n)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:polytope:LinearProgram#VERTEX_IN_DEGREES |VERTEX_IN_DEGREES]]()''**|[[.:polytope|polytope]]|method of LinearProgram|no category|
|**''[[.:topaz:SimplicialComplex#VERTEX_INDICES |VERTEX_INDICES]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Combinatorics|
|**''[[.:fan:PolyhedralComplex#VERTEX_LABELS |VERTEX_LABELS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Visualization|
|**''[[.:topaz:SimplicialComplex#VERTEX_LABELS |VERTEX_LABELS]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Visualization|
|**''[[.:polytope:Polytope#VERTEX_LABELS |VERTEX_LABELS]]''**|[[.:polytope|polytope]]|property of Polytope|Visualization|
|**''[[.:polytope#vertex_lattice_normalization |vertex_lattice_normalization]]([[.:polytope:Polytope |Polytope]] p)''**|[[.:polytope|polytope]]|Functions|Transformations|
|**''[[.:topaz:SimplicialComplex#VERTEX_MAP |VERTEX_MAP]]''**|[[.:topaz|topaz]]|property of SimplicialComplex|Combinatorics|
|**''[[.:polytope:Polytope#VERTEX_MAP |VERTEX_MAP]]''**|[[.:polytope|polytope]]|property of Polytope|Unbounded polyhedra|
|**''[[.:polytope:Polytope#VERTEX_NORMALS |VERTEX_NORMALS]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope:LinearProgram#VERTEX_OUT_DEGREES |VERTEX_OUT_DEGREES]]()''**|[[.:polytope|polytope]]|method of LinearProgram|no category|
|**''[[.:polytope:PointConfiguration#VERTEX_POINT_MAP |VERTEX_POINT_MAP]]''**|[[.:polytope|polytope]]|property of PointConfiguration|no category|
|**''[[.:polytope:PointConfiguration#VERTEX_POINT_MAP |VERTEX_POINT_MAP]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Geometry|
|**''[[.:polytope:Polytope#VERTEX_SIZES |VERTEX_SIZES]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:tropical:Morphism#VERTEX_VALUES |VERTEX_VALUES]]''**|[[.:tropical|tropical]]|property of Morphism|Defining morphisms and functions|
|**''[[.:tropical:RationalFunction#VERTEX_VALUES |VERTEX_VALUES]]''**|[[.:tropical|tropical]]|property of RationalFunction|Defining morphisms and functions|
|**''[[.:fan:PolyhedralComplex#VERTICES |VERTICES]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Geometry|
|**''[[.:tropical:Polytope#VERTICES |VERTICES]]''**|[[.:tropical|tropical]]|property of Polytope|Geometry|
|**''[[.:polytope:Polytope#VERTICES |VERTICES]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope:SchlegelDiagram#VERTICES |VERTICES]]''**|[[.:polytope|polytope]]|property of SchlegelDiagram|no category|
|**''[[.:fan:PolyhedralComplex#VERTICES_ACTION |VERTICES_ACTION]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:polytope:Polytope#VERTICES_ACTION |VERTICES_ACTION]]''**|[[.:polytope|polytope]]|property of Polytope|Symmetry|
|**''[[.:fan:PolyhedralComplex#VERTICES_GENERATORS |VERTICES_GENERATORS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:fan:PolyhedralComplex#VERTICES_GENERATORS |VERTICES_GENERATORS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:fan:PolyhedralComplex#VERTICES_GENERATORS |VERTICES_GENERATORS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:polytope:Polytope#VERTICES_GENERATORS |VERTICES_GENERATORS]]''**|[[.:polytope|polytope]]|property of Polytope|no category|
|**''[[.:fan:PolyhedralComplex#VERTICES_IMAGES |VERTICES_IMAGES]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:polytope:Polytope#VERTICES_IN_FACETS |VERTICES_IN_FACETS]]''**|[[.:polytope|polytope]]|property of Polytope|Combinatorics|
|**''[[.:polytope:Polytope#VERTICES_IN_INEQUALITIES |VERTICES_IN_INEQUALITIES]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:fan:PolyhedralComplex#VERTICES_IN_ORBITS |VERTICES_IN_ORBITS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:tropical:Polytope#VERTICES_IN_POINTS |VERTICES_IN_POINTS]]''**|[[.:tropical|tropical]]|property of Polytope|Geometry|
|**''[[.:polytope:Polytope#VERTICES_IN_RIDGES |VERTICES_IN_RIDGES]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:fan:PolyhedralComplex#VERTICES_ORBIT_SIZES |VERTICES_ORBIT_SIZES]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:polytope:Polytope#VERTICES_ORBITS |VERTICES_ORBITS]]''**|[[.:polytope|polytope]]|property of Polytope|no category|
|**''[[.:fan:PolyhedralComplex#VERTICES_REPS |VERTICES_REPS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:fan:PolyhedralComplex#VERTICES_REPS_LABELS |VERTICES_REPS_LABELS]]''**|[[.:fan|fan]]|property of PolyhedralComplex|Symmetry|
|**''[[.:polytope:Polytope#VERY_AMPLE |VERY_AMPLE]]''**|[[.:polytope|polytope]]|property of Polytope|Lattice points in cones|
|**''[[.:fan:PlanarNet#VF_MAP |VF_MAP]]''**|[[.:fan|fan]]|property of PlanarNet|Combinatorics|
|**''[[.:fan:PlanarNet#VF_MAP_INV |VF_MAP_INV]]''**|[[.:fan|fan]]|property of PlanarNet|Combinatorics|
|**''[[.:topaz#vietoris_rips_complex |vietoris_rips_complex]]([[.:common#Matrix |Matrix]] D, [[.:common#Rational |Rational]] delta)''**|[[.:topaz|topaz]]|Functions|Producing a simplicial complex from other objects|
|**''[[.:topaz#vietoris_rips_filtration |vietoris_rips_filtration]]<Coeff>([[.:common#Matrix |Matrix]] D, [[.:common#Array |Array]]<[[.:common#Int |Int]]> deg, [[.:common#Float |Float]] step_size, [[.:common#Int |Int]] k)''**|[[.:topaz|topaz]]|Functions|Other|
|**''[[.:polytope:SchlegelDiagram#VIEWPOINT |VIEWPOINT]]''**|[[.:polytope|polytope]]|property of SchlegelDiagram|no category|
|**''[[.:fan:PlanarNet#VIF_CYCLIC_NORMAL |VIF_CYCLIC_NORMAL]]''**|[[.:fan|fan]]|property of PlanarNet|Combinatorics|
|**''[[.:polytope:Polytope#VIF_CYCLIC_NORMAL |VIF_CYCLIC_NORMAL]]''**|[[.:polytope|polytope]]|property of Polytope|Visualization|
|**''[[.:polytope#violations |violations]]([[.:polytope:Cone |Cone]] P, [[.:common#Vector |Vector]] q)''**|[[.:polytope|polytope]]|Functions|Geometry|
|**''[[.:polytope#visible_face_indices |visible_face_indices]]([[.:polytope:Cone |Cone]] P, [[.:common#Vector |Vector]] q)''**|[[.:polytope|polytope]]|Functions|Geometry|
|**''[[.:polytope#visible_facet_indices |visible_facet_indices]]([[.:polytope:Cone |Cone]] P, [[.:common#Vector |Vector]] q)''**|[[.:polytope|polytope]]|Functions|Geometry|
|**''[[.:fan:SubdivisionOfPoints#VISUAL |VISUAL]]()''**|[[.:fan|fan]]|method of SubdivisionOfPoints|Visualization|
|**''[[.:fan:PolyhedralFan#VISUAL |VISUAL]]()''**|[[.:fan|fan]]|method of PolyhedralFan|Visualization|
|**''[[.:fan:PolyhedralComplex#VISUAL |VISUAL]]()''**|[[.:fan|fan]]|method of PolyhedralComplex|no category|
|**''[[.:fan:PlanarNet#VISUAL |VISUAL]]()''**|[[.:fan|fan]]|method of PlanarNet|Visualization|
|**''[[.:topaz:SimplicialComplex#VISUAL |VISUAL]]()''**|[[.:topaz|topaz]]|method of SimplicialComplex|Visualization|
|**''[[.:topaz:GeometricSimplicialComplex#VISUAL |VISUAL]]()''**|[[.:topaz|topaz]]|method of GeometricSimplicialComplex|no category|
|**''[[.:graph:Graph#VISUAL |VISUAL]]()''**|[[.:graph|graph]]|method of Graph|Visualization|
|**''[[.:graph:Lattice#VISUAL |VISUAL]]()''**|[[.:graph|graph]]|method of Lattice|Visualization|
|**''[[.:tropical:VoronoiDiagram#VISUAL |VISUAL]]''**|[[.:tropical|tropical]]|method of VoronoiDiagram|no category|
|**''[[.:tropical:Cycle#VISUAL |VISUAL]]()''**|[[.:tropical|tropical]]|method of Cycle|Visualization|
|**''[[.:tropical:Polytope#VISUAL |VISUAL]]()''**|[[.:tropical|tropical]]|method of Polytope|Visualization|
|**''[[.:tropical:Morphism#VISUAL |VISUAL]]()''**|[[.:tropical|tropical]]|method of Morphism|Visualization|
|**''[[.:tropical:RationalCurve#VISUAL |VISUAL]]()''**|[[.:tropical|tropical]]|method of RationalCurve|Visualization|
|**''[[.:tropical:RationalFunction#VISUAL |VISUAL]]()''**|[[.:tropical|tropical]]|method of RationalFunction|Visualization|
|**''[[.:tropical:CovectorLattice#VISUAL |VISUAL]]()''**|[[.:tropical|tropical]]|method of CovectorLattice|Visualization|
|**''[[.:polytope:VectorConfiguration#VISUAL |VISUAL]]()''**|[[.:polytope|polytope]]|method of VectorConfiguration|Visualization|
|**''[[.:polytope:Polytope#VISUAL |VISUAL]]()''**|[[.:polytope|polytope]]|method of Polytope|Visualization|
|**''[[.:polytope:SchlegelDiagram#VISUAL |VISUAL]]()''**|[[.:polytope|polytope]]|method of SchlegelDiagram|no category|
|**''[[.:polytope:Cone#VISUAL |VISUAL]]()''**|[[.:polytope|polytope]]|method of Cone|Visualization|
|**''[[.:polytope:PointConfiguration#VISUAL |VISUAL]]()''**|[[.:polytope|polytope]]|method of PointConfiguration|Visualization|
|**''[[.:polytope:Visual_Cone#Visual::Cone |Visual::Cone]]''**|[[.:polytope|polytope]]|Objects|Visualization|
|**''[[.:common:Visual_Container#Visual::Container |Visual::Container]]''**|[[.:common|common]]|Objects|Visualization|
|**''[[.:polytope:Visual_Gale#Visual::Gale |Visual::Gale]]''**|[[.:polytope|polytope]]|Objects|Visualization|
|**''[[.:graph:Visual_Graph#Visual::Graph |Visual::Graph]]''**|[[.:graph|graph]]|Objects|Visualization|
|**''[[.:graph:Visual_Lattice#Visual::Lattice |Visual::Lattice]]''**|[[.:graph|graph]]|Objects|Visualization|
|**''[[.:common:Visual_Object#Visual::Object |Visual::Object]]''**|[[.:common|common]]|Objects|Visualization|
|**''[[.:fan:Visual_PlanarNet#Visual::PlanarNet |Visual::PlanarNet]]''**|[[.:fan|fan]]|Objects|Visualization|
|**''[[.:polytope:Visual_PointConfiguration#Visual::PointConfiguration |Visual::PointConfiguration]]''**|[[.:polytope|polytope]]|Objects|Visualization|
|**''[[.:fan:Visual_PolyhedralFan#Visual::PolyhedralFan |Visual::PolyhedralFan]]''**|[[.:fan|fan]]|Objects|Visualization|
|**''[[.:polytope:Visual_Polytope#Visual::Polytope |Visual::Polytope]]''**|[[.:polytope|polytope]]|Objects|Visualization|
|**''[[.:polytope:Visual_PolytopeGraph#Visual::PolytopeGraph |Visual::PolytopeGraph]]''**|[[.:polytope|polytope]]|Objects|Visualization|
|**''[[.:polytope:Visual_PolytopeLattice#Visual::PolytopeLattice |Visual::PolytopeLattice]]''**|[[.:polytope|polytope]]|Objects|Visualization|
|**''[[.:polytope:Visual_SchlegelDiagram#Visual::SchlegelDiagram |Visual::SchlegelDiagram]]''**|[[.:polytope|polytope]]|Objects|Visualization|
|**''[[.:topaz:Visual_SimplicialComplex#Visual::SimplicialComplex |Visual::SimplicialComplex]]''**|[[.:topaz|topaz]]|Objects|no category|
|**''[[.:topaz:Visual_SimplicialComplexLattice#Visual::SimplicialComplexLattice |Visual::SimplicialComplexLattice]]''**|[[.:topaz|topaz]]|Objects|no category|
|**''[[.:polytope:Polytope#VISUAL_BOUNDED_GRAPH |VISUAL_BOUNDED_GRAPH]]()''**|[[.:polytope|polytope]]|method of Polytope|Visualization|
|**''[[.:polytope:VoronoiPolyhedron#VISUAL_CRUST |VISUAL_CRUST]]()''**|[[.:polytope|polytope]]|method of VoronoiPolyhedron|Visualization|
|**''[[.:graph:Lattice#VISUAL_DUAL |VISUAL_DUAL]]()''**|[[.:graph|graph]]|method of Lattice|Visualization|
|**''[[.:polytope:Polytope#VISUAL_DUAL |VISUAL_DUAL]]()''**|[[.:polytope|polytope]]|method of Polytope|Visualization|
|**''[[.:polytope:Polytope#VISUAL_DUAL_FACE_LATTICE |VISUAL_DUAL_FACE_LATTICE]]()''**|[[.:polytope|polytope]]|method of Polytope|Visualization|
|**''[[.:topaz:SimplicialComplex#VISUAL_DUAL_GRAPH |VISUAL_DUAL_GRAPH]]()''**|[[.:topaz|topaz]]|method of SimplicialComplex|Visualization|
|**''[[.:polytope:Polytope#VISUAL_DUAL_GRAPH |VISUAL_DUAL_GRAPH]]()''**|[[.:polytope|polytope]]|method of Polytope|Visualization|
|**''[[.:topaz:SimplicialComplex#VISUAL_FACE_LATTICE |VISUAL_FACE_LATTICE]]()''**|[[.:topaz|topaz]]|method of SimplicialComplex|Visualization|
|**''[[.:polytope:Polytope#VISUAL_FACE_LATTICE |VISUAL_FACE_LATTICE]]()''**|[[.:polytope|polytope]]|method of Polytope|Visualization|
|**''[[.:topaz:SimplicialComplex#VISUAL_GRAPH |VISUAL_GRAPH]]()''**|[[.:topaz|topaz]]|method of SimplicialComplex|Visualization|
|**''[[.:polytope:Polytope#VISUAL_GRAPH |VISUAL_GRAPH]]()''**|[[.:polytope|polytope]]|method of Polytope|Visualization|
|**''[[.:tropical:Polytope#VISUAL_HYPERPLANE_ARRANGEMENT |VISUAL_HYPERPLANE_ARRANGEMENT]]()''**|[[.:tropical|tropical]]|method of Polytope|Visualization|
|**''[[.:fan:PolyhedralComplex#VISUAL_METRIC_TIGHT_SPAN |VISUAL_METRIC_TIGHT_SPAN]]()''**|[[.:fan|fan]]|method of PolyhedralComplex|Visualization|
|**''[[.:topaz:SimplicialComplex#VISUAL_MIXED_GRAPH |VISUAL_MIXED_GRAPH]]()''**|[[.:topaz|topaz]]|method of SimplicialComplex|Visualization|
|**''[[.:polytope:VoronoiPolyhedron#VISUAL_NN_CRUST |VISUAL_NN_CRUST]]()''**|[[.:polytope|polytope]]|method of VoronoiPolyhedron|Visualization|
|**''[[.:polytope:Polytope#VISUAL_NOP |VISUAL_NOP]](ARRAY colors_ref, ARRAY trans_ref)''**|[[.:polytope|polytope]]|method of Polytope|Symmetry|
|**''[[.:polytope:Polytope#VISUAL_NOP_GRAPH |VISUAL_NOP_GRAPH]]([[.:common#String |String]] filename)''**|[[.:polytope|polytope]]|method of Polytope|Symmetry|
|**''[[.:fan:PolyhedralComplex#VISUAL_ORBIT_COLORED_GRAPH |VISUAL_ORBIT_COLORED_GRAPH]]()''**|[[.:fan|fan]]|method of PolyhedralComplex|Visualization|
|**''[[.:polytope:Polytope#VISUAL_ORBIT_COLORED_GRAPH |VISUAL_ORBIT_COLORED_GRAPH]]()''**|[[.:polytope|polytope]]|method of Polytope|Visualization|
|**''[[.:polytope:PointConfiguration#VISUAL_POINTS |VISUAL_POINTS]]()''**|[[.:polytope|polytope]]|method of PointConfiguration|Visualization|
|**''[[.:fan#visual_splitstree |visual_splitstree]]([[.:common#Matrix |Matrix]]<[[.:common#Rational |Rational]]> M)''**|[[.:fan|fan]]|Functions|Visualization|
|**''[[.:tropical:Polytope#VISUAL_SUBDIVISION |VISUAL_SUBDIVISION]]()''**|[[.:tropical|tropical]]|method of Polytope|Visualization|
|**''[[.:polytope:VoronoiPolyhedron#VISUAL_VORONOI |VISUAL_VORONOI]]()''**|[[.:polytope|polytope]]|method of VoronoiPolyhedron|Visualization|
|**''[[.:tropical#visualize_in_surface |visualize_in_surface]]''**|[[.:tropical|tropical]]|Functions|Visualization|
|**''[[.:polytope#vlabels |vlabels]]([[.:common#Matrix |Matrix]] vertices, [[.:common#Bool |Bool]] wo_zero)''**|[[.:polytope|polytope]]|Functions|Visualization|
|**''[[.:topaz:GeometricSimplicialComplex#VOLUME |VOLUME]]''**|[[.:topaz|topaz]]|property of GeometricSimplicialComplex|no category|
|**''[[.:polytope:Polytope#VOLUME |VOLUME]]''**|[[.:polytope|polytope]]|property of Polytope|Triangulation and volume|
|**''[[.:polytope:VoronoiPolyhedron#VORONOI_DIAGRAM |VORONOI_DIAGRAM]]''**|[[.:polytope|polytope]]|property of VoronoiPolyhedron|no category|
|**''[[.:polytope:VoronoiPolyhedron#VORONOI_GRAPH |VORONOI_GRAPH]]''**|[[.:polytope|polytope]]|property of VoronoiPolyhedron|no category|
|**''[[.:polytope:VoronoiPolyhedron#VORONOI_VERTICES |VORONOI_VERTICES]]''**|[[.:polytope|polytope]]|property of VoronoiPolyhedron|no category|
|**''[[.:tropical:VoronoiDiagram#VoronoiDiagram |VoronoiDiagram]]''**|[[.:tropical|tropical]]|Objects|no category|
|**''[[.:polytope:VoronoiPolyhedron#VoronoiPolyhedron |VoronoiPolyhedron]]<Scalar>''**|[[.:polytope|polytope]]|Objects|no category|
|**''[[.:polytope:Polytope#WEAKLY_CENTERED |WEAKLY_CENTERED]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:graph:Graph#WEAKLY_CONNECTED |WEAKLY_CONNECTED]]''**|[[.:graph|graph]]|property of Graph|no category|
|**''[[.:graph:Graph#WEAKLY_CONNECTED_COMPONENTS |WEAKLY_CONNECTED_COMPONENTS]]''**|[[.:graph|graph]]|property of Graph|no category|
|**''[[.:topaz#web_of_stars |web_of_stars]]([[.:common#Array |Array]]<[[.:common#Int |Int]]> poset_hom, [[.:common#Array |Array]]<[[.:common#Set |Set]]<[[.:common#Set |Set]]<[[.:common#Int |Int]]%%>>%%> star_shaped_balls, [[.:common#Array |Array]]<[[.:common#Set |Set]]<[[.:common#Int |Int]]%%>>%% triang)''**|[[.:topaz|topaz]]|Functions|Producing a new simplicial complex from others|
|**''[[.:polytope#wedge |wedge]]([[.:polytope:Polytope |Polytope]] P, [[.:common#Int |Int]] facet, [[.:common#Rational |Rational]] z, [[.:common#Rational |Rational]] z_prime)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:fulton:NormalToricVariety#WEIGHT_CONE |WEIGHT_CONE]]''**|[[.:fulton|fulton]]|property of NormalToricVariety|Combinatorics|
|**''[[.:tropical:Cycle#WEIGHT_CONE |WEIGHT_CONE]]''**|[[.:tropical|tropical]]|property of Cycle|Weights and lattices|
|**''[[.:tropical#weight_cone |weight_cone]]([[.:tropical:Cycle |Cycle]] X, [[.:common#Set |Set]]<[[.:common#Int |Int]]> negative)''**|[[.:tropical|tropical]]|Functions|Weight space|
|**''[[.:tropical:Cycle#WEIGHT_SPACE |WEIGHT_SPACE]]''**|[[.:tropical|tropical]]|property of Cycle|Weights and lattices|
|**''[[.:tropical:Cycle#WEIGHT_SYSTEM |WEIGHT_SYSTEM]]''**|[[.:tropical|tropical]]|property of Cycle|Weights and lattices|
|**''[[.:polytope#weighted_digraph_polyhedron |weighted_digraph_polyhedron]]([[.:common#Matrix |Matrix]] encoding)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from graphs|
|**''[[.:fan:SubdivisionOfPoints#WEIGHTS |WEIGHTS]]''**|[[.:fan|fan]]|property of SubdivisionOfPoints|Geometry|
|**''[[.:tropical:Cycle#WEIGHTS |WEIGHTS]]''**|[[.:tropical|tropical]]|property of Cycle|Weights and lattices|
|**''[[.:polytope:Cone#WEIGHTS |WEIGHTS]]''**|[[.:polytope|polytope]]|property of Cone|Geometry|
|**''[[.:polytope:PointConfiguration#WEIGHTS |WEIGHTS]]''**|[[.:polytope|polytope]]|property of PointConfiguration|Triangulation and volume|
|**''[[.:matroid#wheel4_matroid |wheel4_matroid]]()''**|[[.:matroid|matroid]]|Functions|Producing a matroid from scratch|
|**''[[.:graph#wheel_graph |wheel_graph]]([[.:common#Int |Int]] n)''**|[[.:graph|graph]]|Functions|Producing a graph|
|**''[[.:polytope#wreath |wreath]]([[.:polytope:Polytope |Polytope]] P1, [[.:polytope:Polytope |Polytope]] P2)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from polytopes|
|**''[[.:polytope#write_foldable_max_signature_ilp |write_foldable_max_signature_ilp]]([[.:polytope:Polytope |Polytope]] P, [[.:common#String |String]] outfile_name)''**|[[.:polytope|polytope]]|Functions|Optimization|
|**''[[.:polytope#write_quotient_space_simplexity_ilp |write_quotient_space_simplexity_ilp]]''**|[[.:polytope|polytope]]|Functions|Quotient spaces|
|**''[[.:polytope#write_simplexity_ilp |write_simplexity_ilp]]([[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Optimization|
|**''[[.:polytope#write_simplexity_ilp_with_angles |write_simplexity_ilp_with_angles]]([[.:polytope:Polytope |Polytope]] P, [[.:common#String |String]] outfile_name)''**|[[.:polytope|polytope]]|Functions|Optimization|
|**''[[.:polytope:Polytope#write_stl |write_stl]]([[.:common#String |String]] filename)''**|[[.:polytope|polytope]]|method of Polytope|Visualization|
|**''[[.:polytope#write_symmetrized_simplexity_ilp |write_symmetrized_simplexity_ilp]]([[.:polytope:Polytope |Polytope]] P, [[.:common#Set |Set]]<[[.:common#Int |Int]]> isotypic_components, [[.:common#String |String]] outfile_name)''**|[[.:polytope|polytope]]|Functions|Optimization|
|**''[[.:polytope#wronski_center_ideal |wronski_center_ideal]]([[.:common#Matrix |Matrix]]<[[.:common#Int |Int]]> L, [[.:common#Vector |Vector]]<[[.:common#Int |Int]]> lambda)''**|[[.:polytope|polytope]]|Functions|Other|
|**''[[.:polytope#wronski_polynomial |wronski_polynomial]]([[.:common#Matrix |Matrix]]<[[.:common#Int |Int]]> M, [[.:common#Vector |Vector]]<[[.:common#Int |Int]]> lambda, [[.:common#Array |Array]]<[[.:common#Rational |Rational]]> coeff, [[.:common#Rational |Rational]] s)''**|[[.:polytope|polytope]]|Functions|Other|
|**''[[.:polytope#wronski_system |wronski_system]]([[.:common#Matrix |Matrix]]<[[.:common#Int |Int]]> M, [[.:common#Vector |Vector]]<[[.:common#Int |Int]]> lambda, [[.:common#Array |Array]]<[[.:common#Array |Array]]<[[.:common#Rational |Rational]]%%>>%% coeff_array, [[.:common#Rational |Rational]] s)''**|[[.:polytope|polytope]]|Functions|Other|
|**''[[.:polytope#wythoff |wythoff]]([[.:common#String |String]] type, [[.:common#Set |Set]] rings)''**|[[.:polytope|polytope]]|Functions|Producing regular polytopes and their generalizations|
|**''[[.:common#x3d |x3d]]([[.:common:Visual_Object |Visual::Object]] vis_obj ...)''**|[[.:common|common]]|Functions|Visualization|
|**''[[.:ideal:Ideal#ZERO |ZERO]]''**|[[.:ideal|ideal]]|property of Ideal|Commutative algebra|
|**''[[.:common#TropicalNumber |zero]]()''**|[[.:common|common]]|method of TropicalNumber|no category|
|**''[[.:tropical#zero_in_matroid_ring |zero_in_matroid_ring]]<Addition>([[.:common#Int |Int]] n)''**|[[.:tropical|tropical]]|Functions|Matroid ring cycle arithmetics|
|**''[[.:common#zero_matrix |zero_matrix]]<Element>([[.:common#Int |Int]] i, [[.:common#Int |Int]] j)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:common#zero_vector |zero_vector]]<Element>([[.:common#Int |Int]] d)''**|[[.:common|common]]|Functions|Linear Algebra|
|**''[[.:polytope#zonotope |zonotope]]([[.:common#Matrix |Matrix]]<Scalar> M)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:polytope:Polytope#ZONOTOPE_INPUT_POINTS |ZONOTOPE_INPUT_POINTS]]''**|[[.:polytope|polytope]]|property of Polytope|Geometry|
|**''[[.:polytope#zonotope_tiling_lattice |zonotope_tiling_lattice]]([[.:polytope:Polytope |Polytope]] P)''**|[[.:polytope|polytope]]|Functions|Geometry|
|**''[[.:polytope#zonotope_vertices_fukuda |zonotope_vertices_fukuda]]([[.:common#Matrix |Matrix]] M)''**|[[.:polytope|polytope]]|Functions|Producing a polytope from scratch|
|**''[[.:polytope:SchlegelDiagram#ZOOM |ZOOM]]''**|[[.:polytope|polytope]]|property of SchlegelDiagram|no category|</sortable>