polymake: index

This table contains all entities available in polymake in alphabetical order.

For everything listed, the name, the type (i.e., one of object, property, function, property-type, application, option, common-option-list or permutation), the corresponding application and, for properties and user-methods the object or property-type which they belong to are given.

Name	Type	Object or Property-Type	Application
ABSTRACT_OBJECTIVE	property	LinearProgram	polytope
add_edge	function	Graph<Graph::Dir>	common
add_node	function	Graph<Graph::Dir>	common
ADJACENCY	property	Graph	graph
adjacency_matrix	function		common
adjacent_nodes	function	Graph<Graph::Dir>	common
AFFINE	property	NormalToricVariety	fulton
AffineLattice	object		polytope
AffineNormalToricVariety	object		fulton
affine_float_coords	function		polytope
AFFINE_HULL	property	Polytope	polytope
AFFINE_HULL	property	PointConfiguration	polytope
AFFINE_HULL	property	PolyhedralComplex	fan
ag23_matroid	function		matroid
ag32_matroid	function		matroid
ag32_prime_matroid	function		matroid
alexander_dual	function		topaz
all_edges	function	Graph<Graph::Dir>	common
all_group_elements	function		group
all_permutations	function		common
all_rows_or_cols	property-type		common
all_steiner_points	function		polytope
ALPHA_LATTICE	property	VersalComponent	fulton
alternating_group	function		polytope
alternating_group	function		group
ALTSHULER_DET	property	Polytope	polytope
AMBIENT_DIM	function	SymmetricPolytope	polytope
AMBIENT_DIM	function	Cone	polytope
AMBIENT_DIM	function	Polytope	polytope
AMBIENT_DIM	property	VectorConfiguration	polytope
AMBIENT_DIM	function	PolyhedralFan	fan
AMBIENT_DIM	function	PolyhedralComplex	fan
AMBIENT_DIM	property	TropicalPolytope	tropical
ambient_lattice_normalization	function		polytope
AMPLE	property	TDivisor	fulton
anti_diag	function		common
anti_diag	function		common
anti_diagonal	function	Matrix<Matrix::Element, Matrix::Sym>	common
application	function		core
apply	function	Min	common
apply	function	Max	common
apply($)	function	Core::RuleChain	common
apply_rule	function	Core::Object	common
apropos	function		core
are_in_same_orbit	function		group
ARRAY	property-type		common
Array	property-type		common
Array<Array::Element>	property-type		common
ArrowStyle	option	Visual::Lattice::decorations	graph
associahedron	function		polytope
AtomLabels	option	Visual::Lattice::decorations	graph
automorphisms	function		graph
automorphisms	function		graph
automorphisms	function		graph
average	function		common
AVERAGE_DEGREE	property	Graph	graph
back	function	Set<Set::Element>	common
BALANCE	property	Polytope	polytope
BALANCED	property	Polytope	polytope
BALL	property	SimplicialComplex	topaz
ball	function		topaz
BARYCENTER	property	PointConfiguration	polytope
barycentric_subdivision	function		polytope
barycentric_subdivision	function		polytope
barycentric_subdivision	function		topaz
BASE	property	Group	group
BASEPOINT_FREE	property	TDivisor	fulton
BASES	property	Matroid	matroid
bases_from_revlex_encoding	function		matroid
bases_to_revlex_encoding	function		matroid
basis	function		common
BASIS	property	AffineLattice	polytope
BASIS	property	GroebnerBasis	polytope
BASIS	property	Groebner	ideal
basis_affine	function		common
basis_cols	function		common
basis_rows	function		common
BETA_INVARIANT	property	Matroid	matroid
BINARY	property	Matroid	matroid
binary_markov_graph	function		polytope
binary_markov_graph	function		polytope
BINARY_VECTORS	property	Matroid	matroid
binomial	function		common
BIPARTITE	function	SimplicialComplex	topaz
BIPARTITE	property	Graph	graph
bipyramid	function		polytope
birkhoff	function		polytope
bistellar_simplification	function		topaz
blending	function		polytope
Bool	property-type		common
boost_dynamic_bitset	property-type		common
bottom_node	function	FaceLattice	graph
bound	function		polytope
BOUNDARY	property	Cone	polytope
BOUNDARY	property	PointConfiguration	polytope
BOUNDARY	property	SimplicialComplex	topaz
BOUNDARY_LATTICE_POINTS	property	Polytope	polytope
BOUNDED	property	Polytope	polytope
BOUNDED	property	PointConfiguration	polytope
BOUNDED	property	PolyhedralComplex	fan
BOUNDED_COMPLEX	property	Polytope	polytope
BOUNDED_DUAL_GRAPH	function	Polytope	polytope
BOUNDED_FACETS	function	Polytope	polytope
BOUNDED_GRAPH	function	Polytope	polytope
BOUNDED_HASSE_DIAGRAM	function	Polytope	polytope
BOUNDED_VERTICES	function	Polytope	polytope
BoundingBox	option	geometric_options	polytope
bounding_box	function		common
bounding_box	function		polytope
BOUNDING_BOX	property	GeometricGraph	graph
bs2quotient	function		topaz
CANONICAL	property	LatticePolytope	polytope
cap_product	function		topaz
CARTIER	property	TDivisor	fulton
CARTIER_DATA	property	TDivisor	fulton
cast	function		common
cayley_embedding	function		polytope
cayley_embedding	function		polytope
cayley_polytope	function		polytope
CD_INDEX	function	Polytope	polytope
CD_INDEX_COEFFICIENTS	property	Polytope	polytope
ceil	function		common
cells_from_subdivision	function		polytope
cell_from_subdivision	function		polytope
center	function		polytope
CENTERED	property	Polytope	polytope
CENTERED_ZONOTOPE	property	Polytope	polytope
CENTRALLY_SYMMETRIC	property	Polytope	polytope
CENTROID	property	Polytope	polytope
cf2rational	function		fulton
ch2d_3phases	function		tropical
CHARACTERISTIC_POLYNOMIAL	property	Graph	graph
check_basis_exchange_axiom	function		matroid
check_fan	function		fan
check_fan_objects	function		fan
check_inc	function		polytope
check_minimality	function		tropical
check_poly	function		polytope
CHIROTOPE	property	Polytope	polytope
CHIROTOPE	property	VectorConfiguration	polytope
CIRCUITS	property	VectorConfiguration	polytope
CIRCUITS	property	Matroid	matroid
circuits2matrix	function		polytope
clip_graph	function		graph
clique_complex	function		topaz
CLOSED_PSEUDO_MANIFOLD	property	SimplicialComplex	topaz
coarse_types	function		tropical
COCIRCUITS	property	VectorConfiguration	polytope
COCIRCUITS	property	Matroid	matroid
COCIRCUIT_EQUATIONS	property	QuotientSpace	polytope
COCIRCUIT_EQUATIONS	property	Cone	polytope
COCIRCUIT_EQUATIONS	property	PointConfiguration	polytope
COCUBICAL	property	Polytope	polytope
COCUBICALITY	property	Polytope	polytope
COCYCLES	property	SimplicialComplex	topaz
COEFFICIENTS	property	TDivisor	fulton
COEFFICIENTS	property	Hypersurface	tropical
coefficients_as_vector	function	Polynomial<Polynomial::Coefficient, Polynomial::Exponent>	common
COHERENT_SPLITS	property	TightSpan	polytope
COHOMOLOGY	property	SimplicialComplex	topaz
col	function	IncidenceMatrix<IncidenceMatrix::Sym>	common
col	function	Matrix<Matrix::Element, Matrix::Sym>	common
COLOOPS	property	Matroid	matroid
COLORING	property	SimplicialComplex	topaz
COLORING	property	SimplicialComplex	topaz
cols	function	IncidenceMatrix<IncidenceMatrix::Sym>	common
cols	function	Matrix<Matrix::Element, Matrix::Sym>	common
cols	function		common
cols	function		common
col_to_row_action	function		group
COMBINATORIAL_DIM	property	Cone	polytope
COMBINATORIAL_DIM	property	PolyhedralFan	fan
combinatorial_symmetries	function		polytope
common	application		common
common_refinement	function		polytope
common_refinement	function		polytope
common_refinement	function		fan
complement_graph	function		graph
COMPLETE	property	PolyhedralFan	fan
complete	function		graph
complete_bipartite	function		graph
COMPLEXITY	property	Polytope	polytope
complex_projective_plane	function		topaz
compose	function		common
compose	function		common
COMPRESSED	property	LatticePolytope	polytope
concat_rows	function		common
Cone	object		polytope
cone	function		topaz
cone	function	PolyhedralFan	fan
CONES	property	PolyhedralFan	fan
ConesPerm	permutation	PolyhedralFan	fan
CONES_ORBIT_SIZES	property	SymmetricFan	fan
CONES_REPS	property	SymmetricFan	fan
CONE_AMBIENT_DIM	property	Cone	polytope
CONE_AMBIENT_DIM	property	Polytope	polytope
CONE_DIM	property	Cone	polytope
CONE_DIM	property	Polytope	polytope
cone_representative	function	SymmetricFan	fan
congruent	function		polytope
CONNECTED	function	SimplicialComplex	topaz
CONNECTED	property	Matroid	matroid
CONNECTED	property	Graph	graph
CONNECTED_COMPONENTS	function	SimplicialComplex	topaz
CONNECTED_COMPONENTS	property	Matroid	matroid
CONNECTED_COMPONENTS	property	Graph	graph
connected_sum	function		topaz
CONNECTIVITY	function	Cone	polytope
CONNECTIVITY	function	SimplicialComplex	topaz
CONNECTIVITY	property	Graph	graph
connectivity	function		graph
constructible_n_gon	function		polytope
CONSTRUCTION	function	Visual::SchlegelDiagram	polytope
contains	function	Polytope	polytope
contains_in_interior	function	Polytope	polytope
CONTINUED_FRACTION	property	CyclicQuotient	fulton
CONTINUED_FRACTION	property	VersalComponent	fulton
contraction	function		polytope
contraction	function		matroid
contract_edge	function	Graph<Graph::Dir>	common
conv	function		polytope
convert_coord_action	function		polytope
convert_group_domain	function		polytope
convert_to	function		common
convert_to	function		common
convert_to	function		common
convert_to	function		polytope
convert_to	function		polytope
CONVEX	property	PointConfiguration	polytope
CONVEX	property	PolyhedralComplex	fan
CONVEX_HULL	property	PointConfiguration	polytope
CONVEX_HULL_2D_CYCLIC	property	TropicalPolytope	tropical
Coord	option	Visual::Graph::decorations	graph
coordinates	function	Plucker<Plucker::Scalar>	common
COORDINATES	property	GeometricSimplicialComplex	topaz
COORDINATES	property	GeometricGraph	graph
COORDINATES_IN_ORBITS	property	GroupOfCone	group
COORDINATE_LABELS	property	Cone	polytope
core	application		core
Core::Object	object		common
Core::RuleChain	object		common
core_point_algo	function		polytope
core_point_algo_Rote	function		polytope
cornered_hull	function		tropical
cornered_hull_poly	function		tropical
coxeter_group	function		polytope
CP_INDICES	property	OrbitPolytope	polytope
CQS_MATRIX	property	VersalComponent	fulton
cross	function		polytope
crosscut_complex	function		polytope
CRUST_GRAPH	property	VoronoiDiagram	polytope
CS_PERMUTATION	property	Polytope	polytope
cs_quotient	function		polytope
cube	function		polytope
cube_complex	function		topaz
CUBICAL	property	Polytope	polytope
CUBICALITY	property	Polytope	polytope
CUBICAL_H_VECTOR	property	Polytope	polytope
cuboctahedron	function		polytope
cut_polytope	function		polytope
CycleGroup	property-type		topaz
CYCLES	property	SimplicialComplex	topaz
cycle_graph	function		graph
cyclic	function		polytope
cyclic	function		tropical
CyclicQuotient	object		fulton
cyclic_caratheodory	function		polytope
cyclic_group	function		polytope
cyclic_group	function		group
cylinder_2	function		polytope
deg	function	UniPolynomial<UniPolynomial::Coefficient, UniPolynomial::Exponent>	common
DEGENERATE	property	NormalToricVariety	fulton
degree	function	Graph<Graph::Dir>	common
DEGREE	property	Group	group
DEGREE	property	Hypersurface	tropical
DEGREE_ONE_GENERATORS	property	Cone	polytope
DEGREE_SEQUENCE	property	Graph	graph
degree_sequence	function		graph
DELAUNAY_GRAPH	property	VoronoiDiagram	polytope
DELAUNAY_TRIANGULATION	property	VoronoiDiagram	polytope
delaunay_triangulation	function		polytope
delete_all_edges	function	Graph<Graph::Dir>	common
delete_edge	function	Graph<Graph::Dir>	common
delete_edge	function	Graph<Graph::Dir>	common
delete_node	function	Graph<Graph::Dir>	common
deletion	function		polytope
deletion	function		topaz
deletion	function		matroid
delpezzo	function		polytope
denominator	function		common
denominator	function		common
dense	function		common
dense	function		common
dense	function		common
dense	function		common
dense	function		common
dense	function		common
DEPTH	property	Ideal	ideal
det	function		common
diag	function		common
diag	function		common
diagonal	function	Matrix<Matrix::Element, Matrix::Sym>	common
DIAMETER	function	Cone	polytope
DIAMETER	property	Graph	graph
dihedral_angle	function		polytope
dim	function	Graph<Graph::Dir>	common
dim	function	Vector<Vector::Element>	common
DIM	function	SymmetricPolytope	polytope
DIM	property	QuotientSpace	polytope
DIM	function	Cone	polytope
DIM	function	Polytope	polytope
DIM	property	VectorConfiguration	polytope
DIM	property	SimplicialComplex	topaz
DIM	property	Ideal	ideal
DIM	function	PolyhedralFan	fan
DIM	function	PolyhedralComplex	fan
DIM	property	Hypersurface	tropical
dim	function	FaceLattice	graph
DIMENSION	property	VersalComponent	fulton
DIMS	property	FaceLattice	graph
Directed	property-type		common
DirectedMulti	property-type		common
DIRECTED_BOUNDED_GRAPH	property	LinearProgram	polytope
DIRECTED_GRAPH	function	Visual::Polytope	polytope
DIRECTED_GRAPH	function	Visual::SchlegelDiagram	polytope
DIRECTED_GRAPH	function	Visual::PolytopeGraph	polytope
DIRECTED_GRAPH	property	LinearProgram	polytope
direct_sum	function		matroid
disable_rules	function	Core::Object	common
disable_rules	function		core
discard_non_vertices	function		tropical
disjoint_union	function		topaz
Div	property-type		common
div	function		common
DIVISOR	property	NormalToricVariety	fulton
div_exact	function	Vector<Vector::Element>	common
div_exact	function	Matrix<Matrix::Element, Matrix::Sym>	common
div_exact	function		common
dodecahedron	function		polytope
DOMAIN	property	GroupOfCone	group
DOME	property	Hypersurface	tropical
dont_save	function	Core::Object	common
dual	function		matroid
dualize	function		tropical
DUAL_BIPARTITE	function	SimplicialComplex	topaz
DUAL_BOUNDED_H_VECTOR	property	Polytope	polytope
DUAL_CONNECTED	function	SimplicialComplex	topaz
DUAL_CONNECTED_COMPONENTS	function	SimplicialComplex	topaz
DUAL_CONNECTIVITY	function	Cone	polytope
DUAL_CONNECTIVITY	function	SimplicialComplex	topaz
DUAL_CONTINUED_FRACTION	property	CyclicQuotient	fulton
DUAL_DIAMETER	function	Cone	polytope
DUAL_EVEN	function	Cone	polytope
DUAL_GRAPH	property	Cone	polytope
DUAL_GRAPH	property	SimplicialComplex	topaz
DUAL_GRAPH	property	PolyhedralFan	fan
DUAL_GRAPH_SIGNATURE	function	Cone	polytope
DUAL_GRAPH_SIGNATURE	function	SimplicialComplex	topaz
DUAL_H_VECTOR	property	Polytope	polytope
dual_linear_program	function		polytope
DUAL_MAX_CLIQUES	function	SimplicialComplex	topaz
DUAL_TRIANGLE_FREE	function	Cone	polytope
dwarfed_cube	function		polytope
dwarfed_product_polygons	function		polytope
edge	function	Graph<Graph::Dir>	common
EdgeColor	option	Visual::Wire::decorations	common
EdgeColor	option	Visual::Polygon::decorations	common
EdgeColor	option	Visual::Polygons::decorations	common
EdgeHashMap	property-type		common
EdgeIterator	property-type		common
EdgeLabels	option	Visual::Wire::decorations	common
EdgeList	property-type		common
EdgeMap	property-type		common
edges	function	Graph<Graph::Dir>	common
edges	function		common
EDGES	function	Graph	graph
EdgeStyle	option	Visual::Wire::decorations	common
EdgeStyle	option	Visual::Polygon::decorations	common
EdgeStyle	option	Visual::Polygons::decorations	common
EdgeThickness	option	Visual::Wire::decorations	common
EdgeThickness	option	Visual::Polygon::decorations	common
EdgeThickness	option	Visual::Polygons::decorations	common
EdgeWeightedGraph	object		graph
EDGE_COLORS	function	Visual::PolytopeGraph	polytope
EDGE_COLORS	property	Polytope	polytope
edge_contraction	function		topaz
EDGE_DIRECTIONS	property	Polytope	polytope
EDGE_DIRECTIONS	property	Polytope	polytope
edge_exists	function	Graph<Graph::Dir>	common
EDGE_LENGTHS	property	Polytope	polytope
edge_lengths	function		graph
edge_middle	function		polytope
EDGE_ORIENTABLE	property	Polytope	polytope
edge_orientable	function		polytope
EDGE_ORIENTATION	property	Polytope	polytope
EDGE_WEIGHTS	property	EdgeWeightedGraph	graph
EFFECTIVE	property	TDivisor	fulton
EFFECTIVE_CONE	property	NormalToricVariety	fulton
EHRHART_POLYNOMIAL_COEFF	property	LatticePolytope	polytope
eliminate_denominators	function		common
eliminate_denominators_entire	function		common
eliminate_denominators_entire_affine	function		common
eliminate_denominators_in_rows	function		common
ENVELOPE	property	TropicalPolytope	tropical
EPSILON	property	Cone	polytope
equal_bases	function		common
equal_polyhedra	function		polytope
EQUATIONS	property	Cone	polytope
ESSENTIALLY_GENERIC	property	Cone	polytope
EULER_CHARACTERISTIC	property	SimplicialComplex	topaz
evaluate	function		tropical
evaluate	function		tropical
EVEN	function	Cone	polytope
explicit_zonotope	function		polytope
export_configured	function		core
extend_application	function		core
ExtGCD	property-type		common
extract_pseudovertices	function		tropical
ext_gcd	function		common
F2_VECTOR	property	Cone	polytope
F2_VECTOR	property	Polytope	polytope
F2_VECTOR	property	SimplicialComplex	topaz
F2_VECTOR	property	PolyhedralFan	fan
f8_matroid	function		matroid
fac	function		common
FaceLattice	object		graph
FACES	property	QuotientSpace	polytope
FACES	function	Visual::SimplicialComplex	topaz
FACES	function	Visual::SimplicialComplexLattice	topaz
FACES	property	FaceLattice	graph
FACET	option	schlegel_init	polytope
FACET	property	SchlegelDiagram	polytope
facet	function		polytope
FacetColor	option	Visual::Polygon::decorations	common
FacetColor	option	Visual::Polygons::decorations	common
FacetLabels	option	Visual::Polygons::decorations	common
FacetList	property-type		common
FacetPerm	permutation	Cone	polytope
FacetPerm	permutation	SimplicialComplex	topaz
FACETS	property	Cone	polytope
FACETS	property	SimplicialComplex	topaz
FacetStyle	option	Visual::Polygon::decorations	common
FacetStyle	option	Visual::Polygons::decorations	common
FACETS_IN_ORBITS	property	GroupOfCone	group
FACETS_THRU_INPUT_RAYS	property	Cone	polytope
FACETS_THRU_POINTS	property	Polytope	polytope
FACETS_THRU_RAYS	property	Cone	polytope
FACETS_THRU_VERTICES	property	Polytope	polytope
FacetTransparency	option	Visual::Polygon::decorations	common
FacetTransparency	option	Visual::Polygons::decorations	common
FACET_DEGREES	function	Cone	polytope
FACET_LABELS	property	Cone	polytope
FACET_LABELS	property	Polytope	polytope
FACET_NORMALS	property	PolyhedralFan	fan
FACET_POINT	option	schlegel_init	polytope
FACET_POINT	property	SchlegelDiagram	polytope
FACET_POINT_LATTICE_DISTANCES	function	LatticePolytope	polytope
FACET_SIZES	property	Cone	polytope
facet_to_infinity	function		polytope
FACET_TRIANGULATIONS	property	Cone	polytope
FACET_TRIANGULATIONS	property	PointConfiguration	polytope
FACET_VERTEX_LATTICE_DISTANCES	property	LatticePolytope	polytope
FACET_WIDTH	property	LatticePolytope	polytope
FACET_WIDTHS	property	LatticePolytope	polytope
face_fan	function		fan
face_fan	function		fan
FACE_ORBITS	property	QuotientSpace	polytope
FACE_SIMPLICITY	property	Polytope	polytope
fan	application		fan
FANO	property	NormalToricVariety	fulton
fano_matroid	function		matroid
fano_simplex	function		polytope
FAN_AMBIENT_DIM	property	PolyhedralFan	fan
FAN_DIM	property	PolyhedralFan	fan
FAR_FACE	property	Polytope	polytope
FAR_HYPERPLANE	property	Polytope	polytope
FAR_POINTS	property	PointConfiguration	polytope
FAR_VERTICES	property	PolyhedralComplex	fan
FATNESS	property	Polytope	polytope
FEASIBLE	property	Polytope	polytope
fibonacci	function		common
find_facet_vertex_permutations	function		polytope
find_facet_vertex_permutations	function		topaz
find_node_permutation	function		graph
find_permutation	function		common
find_row_col_permutation	function		graph
find_transitive_lp_sol	function		polytope
FLAG_VECTOR	property	Cone	polytope
Flexible	property-type		common
Float	property-type		common
floor	function		common
flow_polytope	function		polytope
flow_polytope	function		polytope
FOLDABLE	property	SimplicialComplex	topaz
FOLDABLE_COCIRCUIT_EQUATIONS	property	Cone	polytope
foldable_max_signature_ilp	function		polytope
FOLDABLE_MAX_SIGNATURE_UPPER_BOUND	property	Polytope	polytope
foldable_max_signature_upper_bound	function		polytope
foldable_prism	function		topaz
found_application	function		core
found_extension	function		core
free_sum	function		polytope
front	function	Set<Set::Element>	common
FTR_CYCLIC_NORMAL	property	Cone	polytope
FTV_CYCLIC_NORMAL	property	Polytope	polytope
FULL_DIM	property	Cone	polytope
FULL_DIM	property	VectorConfiguration	polytope
FULL_DIM	property	PolyhedralFan	fan
fulton	application		fulton
fundamental2gap	function	SimplicialComplex	topaz
FUNDAMENTAL_GROUP	property	SimplicialComplex	topaz
FUNDAMENTAL_GROUP_GEN_LABELS	property	SimplicialComplex	topaz
F_VECTOR	property	QuotientSpace	polytope
F_VECTOR	property	Cone	polytope
F_VECTOR	property	Polytope	polytope
F_VECTOR	property	SimplicialComplex	topaz
F_VECTOR	property	Matroid	matroid
F_VECTOR	property	PolyhedralFan	fan
g	function	ExtGCD	common
GALE	function	Polytope	polytope
GALE_TRANSFORM	property	Polytope	polytope
GALE_VERTICES	property	Polytope	polytope
gcd	function		common
gcd	function		common
gcd	function		common
gc_closure	function		polytope
generalized_johnson_graph	function		graph
GENERATING_GROUP	property	SymmetricCone	polytope
GENERATING_POLYTOPE	property	NormalToricVariety	fulton
GENERATORS	property	Group	group
GENERATORS	property	Ideal	ideal
GENUS	property	SimplicialComplex	topaz
GEN_EQUATIONS	property	SymmetricCone	polytope
GEN_INEQUALITIES	property	SymmetricCone	polytope
GEN_INPUT_LINEALITY	property	SymmetricCone	polytope
GEN_INPUT_RAYS	property	SymmetricCone	polytope
GEN_POINT	property	OrbitPolytope	polytope
GEN_POINTS	property	SymmetricPolytope	polytope
GeometricGraph	object		graph
GeometricSimplicialComplex	object		topaz
geometric_options	common-option-list		polytope
geomview	function		common
get_corners	function		tropical
get_ring	function	Polynomial<Polynomial::Coefficient, Polynomial::Exponent>	common
get_schedule	function	Core::Object	common
GKZ_VECTOR	property	Cone	polytope
GKZ_VECTOR	property	PointConfiguration	polytope
goldfarb	function		polytope
GORENSTEIN	property	LatticePolytope	polytope
GORENSTEIN	property	PolyhedralFan	fan
GORENSTEIN_CONE	property	Cone	polytope
GORENSTEIN_INDEX	property	LatticePolytope	polytope
GORENSTEIN_VECTOR	property	LatticePolytope	polytope
Graph	property-type		common
GRAPH	property	Cone	polytope
GRAPH	property	Polytope	polytope
GRAPH	property	Polytope	polytope
GRAPH	property	LatticePolytope	polytope
GRAPH	property	PointConfiguration	polytope
GRAPH	property	SimplicialComplex	topaz
GRAPH	property	PolyhedralFan	fan
graph	application		graph
Graph	object		graph
Graph<Graph::Dir>	property-type		common
GraphMap	property-type		common
graphviz	function		graph
graph_from_edges	function		graph
GRAPH_SIGNATURE	function	Cone	polytope
GRAPH_SIGNATURE	function	SimplicialComplex	topaz
GROEBNER	property	Ideal	ideal
Groebner	object		ideal
GroebnerBasis	object		polytope
GROEBNER_BASIS	property	LatticePolytope	polytope
groebner_fan	function		fan
GROUP	property	Cone	polytope
GROUP	property	VectorConfiguration	polytope
group	application		group
Group	object		group
GroupOfCone	object		group
GroupOfPolytope	object		group
group_from_cyclic_notation0	function		polytope
group_from_cyclic_notation0	function		group
group_from_cyclic_notation1	function		polytope
group_from_cyclic_notation1	function		group
group_from_generators	function		group
group_from_permlib_cyclic_notation	function		group
group_to_cyclic_notation	function		group
G_DIM	property	GeometricSimplicialComplex	topaz
G_VECTOR	property	Polytope	polytope
hadamard_product	function		common
HALF_SPACES	property	TropicalPolytope	tropical
HashMap	property-type		common
HashSet	property-type		common
HASSE_DIAGRAM	property	Cone	polytope
HASSE_DIAGRAM	property	Polytope	polytope
HASSE_DIAGRAM	property	SimplicialComplex	topaz
HASSE_DIAGRAM	property	PolyhedralFan	fan
has_gaps	function	Graph<Graph::Dir>	common
hd_embedder	function		graph
help	function		core
Hidden	option	Visual::PointSet::decorations	common
HILBERT_BASIS	function	Cone	polytope
HILBERT_BASIS_GENERATORS	property	Cone	polytope
HILBERT_POLYNOMIAL	property	Ideal	ideal
HILBERT_SERIES	property	Cone	polytope
hirzebruch_surface	function		fulton
histogram	function		common
history	function		core
HOMOGENEOUS	property	Cone	polytope
HOMOGENEOUS	property	Ideal	ideal
HOMOGENEOUS	property	Hypersurface	tropical
HOMOLOGY	property	SimplicialComplex	topaz
homology	function		topaz
HOMOLOGY	property	PolyhedralFan	fan
HomologyGroup	property-type		topaz
homology_and_cycles	function		topaz
HSV	property-type		common
hungarian_perfect_matching	function		graph
hyperplane	function		tropical
hyperplane_arrangement	function		fan
hypersimplex	function		polytope
hypersimplex	function		tropical
Hypersurface	object		tropical
hypersurface_union	function		tropical
hypertruncated_cube	function		polytope
h_induced_quotient	function		topaz
H_STAR_VECTOR	property	Cone	polytope
H_VECTOR	property	Polytope	polytope
H_VECTOR	property	SimplicialComplex	topaz
H_VECTOR	property	Matroid	matroid
icosahedron	function		polytope
icosidodecahedron	function		polytope
ideal	application		ideal
Ideal	object		ideal
IDENTIFICATION_GROUP	property	QuotientSpace	polytope
import_extension	function		core
IncidenceMatrix	property-type		common
IncidenceMatrix<IncidenceMatrix::Sym>	property-type		common
incidence_matrix	function		graph
incl	function		common
include	function		core
included_polyhedra	function		polytope
independence_complex	function		topaz
index_matrix	function		common
indices	function		common
induced_lattice_basis	function		polytope
induced_subcomplex	function		topaz
induced_subgraph	function		common
INEQUALITIES	property	Cone	polytope
INEQUALITIES_IN_ORBITS	property	GroupOfCone	group
INEQUALITIES_THRU_RAYS	property	Cone	polytope
INEQUALITIES_THRU_VERTICES	property	Polytope	polytope
inf	function	Float	common
inf	function	Integer	common
inf	function	Rational	common
INITIAL_IDEAL	property	Groebner	ideal
INNER_DESCRIPTION	function	Polytope	polytope
INNER_POINT	option	schlegel_init	polytope
INNER_POINT	property	SchlegelDiagram	polytope
inner_point	function		polytope
INPUT_CONES	property	PolyhedralFan	fan
INPUT_CONES_REPS	property	SymmetricFan	fan
INPUT_FACES	property	SimplicialComplex	topaz
INPUT_LINEALITY	property	Cone	polytope
INPUT_LINEALITY	property	PolyhedralFan	fan
INPUT_POLYTOPES	property	PolyhedralComplex	fan
INPUT_RAYS	property	Cone	polytope
INPUT_RAYS	property	PolyhedralFan	fan
INPUT_RAYS_IN_FACETS	property	Cone	polytope
INPUT_RAYS_IN_ORBITS	property	GroupOfCone	group
INPUT_RAY_LABELS	property	PolyhedralFan	fan
insertMax	function	FacetList	common
insertMin	function	FacetList	common
Int	property-type		common
Integer	property-type		common
integer_hull	function		polytope
integer_points_bbox	function		polytope
INTEGRAL	property	TDivisor	fulton
interior_and_boundary_ridges	function		polytope
INTERIOR_LATTICE_POINTS	property	Polytope	polytope
INTERIOR_RIDGE_SIMPLICES	property	Cone	polytope
internal_activity	function		matroid
intersection	function		polytope
IntersectionForm	property-type		topaz
INTERSECTION_COMPLEX	property	PolyhedralFan	fan
INTERSECTION_FORM	property	SimplicialComplex	topaz
inv	function		common
invalid_node	function	Graph<Graph::Dir>	common
in_adjacent_nodes	function	Graph<Graph::Dir>	common
in_degree	function	Graph<Graph::Dir>	common
in_edges	function	Graph<Graph::Dir>	common
isfinite	function		common
isinf	function		common
isomorphic	function		polytope
isomorphic	function		topaz
isomorphic	function		graph
isomorphic	function		graph
is_generalized_shelling	function		topaz
is_integral	function		common
is_integral	function		common
is_modular_cut	function		matroid
is_one	function		common
is_regular	function		polytope
is_subdivision	function		polytope
is_vertex	function		polytope
is_vertex_decomposition	function		topaz
is_zero	function		common
iterated_barycentric_subdivision	function		polytope
iterated_barycentric_subdivision	function		topaz
ITERATED_DELAUNAY_GRAPH	property	VoronoiDiagram	polytope
ITERATED_VORONOI_GRAPH	property	VoronoiDiagram	polytope
Iterator	property-type		common
javaview	function		common
johnson_graph	function		graph
join_complexes	function		topaz
join_polytopes	function		polytope
jreality	function		common
j_matroid	function		matroid
k1	function	ExtGCD	common
k2	function	ExtGCD	common
klein_bottle	function		topaz
knapsack	function		polytope
kneser_graph	function		graph
KNOT	property	SimplicialComplex	topaz
k_cyclic	function		polytope
k_skeleton	function		topaz
k_skeleton	function		topaz
l8_matroid	function		matroid
labeled	function		common
labeled_vertices	function	Polytope	polytope
labeled_vertices	function	SimplicialComplex	topaz
LABELS	property	VectorConfiguration	polytope
LABELS	property	Matroid	matroid
laplacian	function		graph
latex	function		common
LATTICE	function	Visual::Polytope	polytope
LATTICE	property	Polytope	polytope
LatticePolytope	object		polytope
LATTICE_ACCUMULATED_EDGE_LENGTHS	property	LatticePolytope	polytope
lattice_automorphisms_smooth_polytope	function		polytope
LATTICE_BASIS	property	LatticePolytope	polytope
lattice_bipyramid	function		polytope
LATTICE_CODEGREE	property	LatticePolytope	polytope
LATTICE_COLORED	function	Visual::Polytope	polytope
LATTICE_DEGREE	property	LatticePolytope	polytope
LATTICE_EDGE_LENGTHS	property	LatticePolytope	polytope
LATTICE_EMPTY	property	LatticePolytope	polytope
lattice_isomorphic_smooth_polytopes	function		polytope
LATTICE_OF_FLATS	property	Matroid	matroid
LATTICE_POINTS	function	Polytope	polytope
LATTICE_POINTS_GENERATORS	property	Polytope	polytope
lattice_pyramid	function		polytope
LATTICE_VOLUME	property	LatticePolytope	polytope
lawrence	function		polytope
lc	function	Polynomial<Polynomial::Coefficient, Polynomial::Exponent>	common
lc	function	UniPolynomial<UniPolynomial::Coefficient, UniPolynomial::Exponent>	common
lcm	function		common
lcm	function		common
LEDA_graph	function		graph
lex_extension	function		matroid
lex_min_representative	function		polytope
lifted_pluecker	function		tropical
LIFTING	property	RationalDivisorClassGroup	fulton
LINEALITY_DIM	property	Cone	polytope
LINEALITY_DIM	property	PolyhedralFan	fan
lineality_space	function		common
LINEALITY_SPACE	property	Cone	polytope
LINEALITY_SPACE	property	PolyhedralFan	fan
LinearProgram	object		polytope
LINEAR_OBJECTIVE	property	LinearProgram	polytope
LINEAR_SPAN	property	Cone	polytope
LINEAR_SPAN	property	VectorConfiguration	polytope
LINEAR_SPAN_NORMALS	property	PolyhedralFan	fan
linear_symmetries	function		polytope
line_graph	function		graph
link_complex	function		topaz
lin_solve	function		common
List	property-type		common
list	function	Core::RuleChain	common
list_properties	function	Core::Object	common
lm_exp	function	Polynomial<Polynomial::Coefficient, Polynomial::Exponent>	common
load	function		core
load_commands	function		core
load_data	function		core
LocalFloatEpsilon	property-type		common
LOCALLY_STRONGLY_CONNECTED	property	SimplicialComplex	topaz
Long	property-type		common
LOOPS	property	Matroid	matroid
lower_lattice_points	function		fulton
low_deg	function	UniPolynomial<UniPolynomial::Coefficient, UniPolynomial::Exponent>	common
LP	property	Polytope	polytope
lp2poly	function		polytope
make_totally_dual_integral	function		polytope
MANIFOLD	property	SimplicialComplex	topaz
Map	property-type		common
mapping_polytope	function		polytope
matching_polytope	function		polytope
Matrix	property-type		common
Matrix<Matrix::Element, Matrix::Sym>	property-type		common
matroid	application		matroid
Matroid	object		matroid
matroid_from_characteristic_vector	function		matroid
matroid_from_graph	function		matroid
matroid_from_matroid_polytope	function		matroid
MATROID_HYPERPLANES	property	Matroid	matroid
matroid_plueckervector	function		matroid
Max	property-type		common
MAXIMAL_CELLS	property	PolyhedralComplex	fan
MAXIMAL_CONES	property	PolyhedralFan	fan
MAXIMAL_CONES_COMBINATORIAL_DIMS	property	PolyhedralFan	fan
MAXIMAL_CONES_DIMS	function	PolyhedralFan	fan
MAXIMAL_CONES_FACETS	property	PolyhedralFan	fan
MAXIMAL_CONES_INCIDENCES	property	PolyhedralFan	fan
MAXIMAL_CONES_IN_ORBITS	property	SymmetricFan	fan
MAXIMAL_CONES_LINEAR_SPAN_NORMALS	property	PolyhedralFan	fan
MAXIMAL_CONES_ORBIT_SIZES	property	SymmetricFan	fan
MAXIMAL_CONES_REPS	property	SymmetricFan	fan
MAXIMAL_CONES_REPS_DIMS	property	SymmetricFan	fan
MAXIMAL_CONES_REPS_FACETS	property	SymmetricFan	fan
MAXIMAL_CONES_REPS_LINEAR_SPAN_NORMALS	property	SymmetricFan	fan
MAXIMAL_FACE	property	LinearProgram	polytope
MAXIMAL_FACES	property	Hypersurface	tropical
MAXIMAL_POLYTOPES	property	PolyhedralComplex	fan
MAXIMAL_POLYTOPES_AFFINE_HULL_NORMALS	property	PolyhedralComplex	fan
MAXIMAL_POLYTOPES_COMBINATORIAL_DIMS	property	PolyhedralComplex	fan
MAXIMAL_POLYTOPES_FACETS	property	PolyhedralComplex	fan
MAXIMAL_POLYTOPES_INCIDENCES	property	PolyhedralComplex	fan
MAXIMAL_VALUE	property	LinearProgram	polytope
MAXIMAL_VERTEX	property	LinearProgram	polytope
maximum	function		common
MAX_BOUNDARY_SIMPLICES	property	Cone	polytope
MAX_BOUNDARY_SIMPLICES	property	PointConfiguration	polytope
MAX_CLIQUES	function	SimplicialComplex	topaz
MAX_CLIQUES	property	Graph	graph
max_GC_rank	function		polytope
MAX_INTERIOR_SIMPLICES	property	Cone	polytope
MAX_INTERIOR_SIMPLICES	property	PointConfiguration	polytope
max_interior_simplices	function		polytope
max_interior_simplices	function		polytope
max_interior_simplices_impl	function		polytope
max_metric	function		polytope
metapost	function		graph
METRIC	property	TightSpan	polytope
metric2hyp_triang	function		polytope
metric2splits	function		polytope
Min	property-type		common
MINIMAL_FACE	property	LinearProgram	polytope
MINIMAL_NON_FACES	property	Polytope	polytope
MINIMAL_NON_FACES	property	SimplicialComplex	topaz
minimal_tropical_halfspaces	function		tropical
MINIMAL_VALUE	property	LinearProgram	polytope
MINIMAL_VERTEX	property	LinearProgram	polytope
MINIMAL_VERTEX_ANGLE	property	Polytope	polytope
minimal_vertex_angle	function		polytope
minimum	function		common
MINKOWSKI_CONE	property	Polytope	polytope
MINKOWSKI_CONE_COEFF	function	Polytope	polytope
MINKOWSKI_CONE_POINT	function	Polytope	polytope
minkowski_sum	function		polytope
minkowski_sum	function		polytope
minkowski_sum	function		polytope
minkowski_sum	function		polytope
minkowski_sum	function		tropical
minkowski_sum_fukuda	function		polytope
minor	function	IncidenceMatrix<IncidenceMatrix::Sym>	common
minor	function	Matrix<Matrix::Element, Matrix::Sym>	common
minus_inf	function	Float	common
minus_inf	function	Integer	common
minus_inf	function	Rational	common
MIN_MAX_FACE	function	Visual::Polytope	polytope
MIN_MAX_FACE	function	Visual::SchlegelDiagram	polytope
MIN_MAX_FACE	function	Visual::PolytopeGraph	polytope
MIN_MAX_FACE	function	Visual::PolytopeLattice	polytope
min_metric	function		polytope
MIXED_GRAPH	property	SimplicialComplex	topaz
mixed_graph	function		topaz
mixed_integer_hull	function		polytope
mixed_subdivision	function		fan
mixed_subdivision	function		fan
mixed_subdivision	function		fan
mixed_volume	function		polytope
MODULE_GENERATORS	property	TDivisor	fulton
MOEBIUS_STRIP_EDGES	property	Polytope	polytope
MOEBIUS_STRIP_QUADS	property	Polytope	polytope
MONOID_GRADING	property	Cone	polytope
Monomial	property-type		common
MONOMIAL	property	Ideal	ideal
MONOMIALS	property	Hypersurface	tropical
monomials_as_matrix	function	Polynomial<Polynomial::Coefficient, Polynomial::Exponent>	common
MonomPerm	permutation	Hypersurface	tropical
MORI_CONE	property	NormalToricVariety	fulton
MORSE_MATCHING	property	SimplicialComplex	topaz
MORSE_MATCHING	function	Visual::SimplicialComplex	topaz
morse_matching	function		topaz
MORSE_MATCHING_CRITICAL_FACES	property	SimplicialComplex	topaz
MORSE_MATCHING_CRITICAL_FACE_VECTOR	property	SimplicialComplex	topaz
MORSE_MATCHING_N_CRITICAL_FACES	property	SimplicialComplex	topaz
MORSE_MATCHING_SIZE	property	SimplicialComplex	topaz
morse_matching_size	function		topaz
multiplex	function		polytope
MULTIPLE_POINTS	property	PointConfiguration	polytope
MULTIPLE_VECTORS	property	VectorConfiguration	polytope
MULTIPLICITIES	property	TropicalVariety	fan
N	property	CyclicQuotient	fulton
n1_matroid	function		matroid
n2_matroid	function		matroid
Name	option	Visual::PointSet::decorations	common
names	function	Ring<Ring::Coefficient, Ring::Exponent>	common
nearest_point	function		tropical
NEF	property	TDivisor	fulton
NEF_CONE	property	NormalToricVariety	fulton
NEIGHBORLINESS	property	Polytope	polytope
NEIGHBORLY	property	Polytope	polytope
neighborly_cubical	function		polytope
NEIGHBOR_FACETS_CYCLIC_NORMAL	property	Cone	polytope
NEIGHBOR_RAYS_CYCLIC_NORMAL	property	Cone	polytope
NEIGHBOR_VERTICES_CYCLIC_NORMAL	property	Polytope	polytope
nestedOPGraph	function		polytope
newton	function		polytope
NN_CRUST_GRAPH	property	VoronoiDiagram	polytope
NN_GRAPH	property	VoronoiDiagram	polytope
NodeBorderColor	option	Visual::Graph::decorations	graph
NodeBorderThickness	option	Visual::Graph::decorations	graph
NodeColor	option	Visual::Graph::decorations	graph
NodeHashMap	property-type		common
NodeIterator	property-type		common
NodeLabels	option	Visual::Graph::decorations	graph
NodeMap	property-type		common
NodePerm	permutation	Graph	graph
nodes	function	Graph<Graph::Dir>	common
nodes	function		common
NodeSet	property-type		common
NodeStyle	option	Visual::Graph::decorations	graph
nodes_of_dim	function	FaceLattice	graph
NodeThickness	option	Visual::Graph::decorations	graph
NODE_DEGREES	property	Graph	graph
node_edge_incidences	function		common
node_exists	function	Graph<Graph::Dir>	common
NODE_IN_DEGREES	property	Graph	graph
NODE_LABELS	property	Graph	graph
NODE_OUT_DEGREES	property	Graph	graph
node_out_of_range	function	Graph<Graph::Dir>	common
NonSymmetric	property-type		common
NON_BASES	property	Matroid	matroid
NON_NEGATIVE	property	Hypersurface	tropical
non_p8_matroid	function		matroid
non_pappus_matroid	function		matroid
non_vamos_matroid	function		matroid
NON_VERTICES	property	PointConfiguration	polytope
NOP_GRAPH	property	OrbitPolytope	polytope
norm	function		tropical
NORMAL	property	LatticePolytope	polytope
normalized	function		common
normaliz_compute	function		polytope
NormalToricVariety	object		fulton
normal_cone	function		polytope
normal_fan	function		fan
null_space	function		common
null_space	function		common
numbered	function		common
numerator	function		common
numerator	function		common
N_01POINTS	property	Polytope	polytope
n_automorphisms	function		graph
N_BASES	property	Matroid	matroid
N_BOUNDARY_LATTICE_POINTS	property	Polytope	polytope
N_BOUNDED_VERTICES	property	Polytope	polytope
N_CIRCUITS	property	Matroid	matroid
N_COCIRCUITS	property	Matroid	matroid
N_COLOOPS	property	Matroid	matroid
N_CONNECTED_COMPONENTS	function	SimplicialComplex	topaz
N_CONNECTED_COMPONENTS	property	Graph	graph
N_EDGES	function	Polytope	polytope
N_EDGES	property	Graph	graph
N_ELEMENTS	property	Matroid	matroid
N_EQUATIONS	property	Cone	polytope
N_FACETS	property	Cone	polytope
N_FACETS	property	SimplicialComplex	topaz
N_FACET_NORMALS	property	PolyhedralFan	fan
N_FLAGS	function	Cone	polytope
N_GEN_EQUATIONS	property	SymmetricCone	polytope
N_GEN_INEQUALITIES	property	SymmetricCone	polytope
N_GEN_INPUT_LINEALITY	property	SymmetricCone	polytope
N_GEN_INPUT_RAYS	property	SymmetricCone	polytope
n_gon	function		polytope
N_GON_TRIANGULATION	property	VersalComponent	fulton
N_HILBERT_BASIS	property	Cone	polytope
N_INPUT_LINEALITY	property	Cone	polytope
N_INPUT_RAYS	property	Cone	polytope
N_INPUT_RAYS	property	PolyhedralFan	fan
N_INTERIOR_LATTICE_POINTS	property	Polytope	polytope
N_LATTICE_POINTS	property	Polytope	polytope
N_LATTICE_POINTS_IN_DILATION	function	LatticePolytope	polytope
N_LOOPS	property	Matroid	matroid
N_MAXIMAL_CONES	property	PolyhedralFan	fan
N_MAXIMAL_CONE_ORBITS	property	SymmetricFan	fan
N_MAXIMAL_FACES	property	Hypersurface	tropical
N_MAXIMAL_POLYTOPES	property	PolyhedralComplex	fan
N_MAXIMAL_TORUS_ORBITS	property	NormalToricVariety	fulton
N_MAX_BOUNDARY_SIMPLICES	property	PointConfiguration	polytope
N_MAX_INTERIOR_SIMPLICES	property	PointConfiguration	polytope
N_MINIMAL_NON_FACES	property	SimplicialComplex	topaz
N_NODES	property	Graph	graph
N_ORBITS_OF_COORDINATES	property	GroupOfCone	group
N_ORBITS_OF_FACETS	property	GroupOfCone	group
N_ORBITS_OF_INEQUALITIES	property	GroupOfCone	group
N_ORBITS_OF_INPUT_RAYS	property	GroupOfCone	group
N_ORBITS_OF_POINTS	property	GroupOfPolytope	group
N_ORBITS_OF_RAYS	property	GroupOfCone	group
N_ORBITS_OF_VERTICES	property	GroupOfPolytope	group
N_POINTS	property	Polytope	polytope
N_POINTS	property	PointConfiguration	polytope
N_POINTS	property	PolyhedralComplex	fan
N_POINTS	property	Hypersurface	tropical
N_RAYS	property	Cone	polytope
N_RAYS	property	PolyhedralFan	fan
N_RAYS	property	Hypersurface	tropical
N_RAY_FACET_INC	property	Cone	polytope
N_RAY_ORBITS	property	SymmetricFan	fan
N_REPRESENTATIVE_CERTIFIERS	property	OrbitPolytope	polytope
N_REPRESENTATIVE_CORE_POINTS	property	OrbitPolytope	polytope
N_REPRESENTATIVE_FACETS	property	GroupOfCone	group
N_REPRESENTATIVE_RAYS	property	GroupOfCone	group
N_REPRESENTATIVE_SIMPLICES	property	GroupOfCone	group
N_REPRESENTATIVE_VERTICES	property	GroupOfPolytope	group
N_RIDGES	function	Polytope	polytope
N_SIMPLICES	property	QuotientSpace	polytope
N_SITES	property	VoronoiDiagram	polytope
N_STRONG_GENERATORS	property	Group	group
N_SYMMETRIES	property	SymmetricFan	fan
N_TERMS	property	Hypersurface	tropical
n_vars	function	Ring<Ring::Coefficient, Ring::Exponent>	common
N_VARS	property	Hypersurface	tropical
N_VECTORS	property	VectorConfiguration	polytope
N_VERTEX_FACET_INC	property	Polytope	polytope
N_VERTICES	property	Polytope	polytope
N_VERTICES	property	SimplicialComplex	topaz
N_VERTICES	property	PolyhedralComplex	fan
N_VERTICES	property	Hypersurface	tropical
o7_matroid	function		matroid
obliterate_extension	function		core
ODD_SUBCOMPLEX	property	SimplicialComplex	topaz
ones_vector	function		common
ONE_RAY	property	Cone	polytope
ONE_VERTEX	property	Polytope	polytope
opt_attained	function	Hypersurface	tropical
ORBIFOLD	property	NormalToricVariety	fulton
orbit	function		group
orbit	function		group
OrbitPolytope	object		polytope
orbits_coord_action_complete	function		group
ORBITS_F_VECTOR	property	SymmetricFan	fan
orbits_induced_action	function		group
orbits_of_domain	function		group
orbit_coord_action	function		group
orbit_polytope	function		polytope
ORDER	property	Group	group
ORDER_MATRIX	property	Groebner	ideal
ORDER_NAME	property	Groebner	ideal
ORDER_VECTOR	property	Groebner	ideal
orientation	function	Min	common
orientation	function	Max	common
orientation	function	TropicalNumber<TropicalNumber::Addition, TropicalNumber::Scalar>	common
ORIENTATION	property	SimplicialComplex	topaz
ORIENTED_PSEUDO_MANIFOLD	property	SimplicialComplex	topaz
ORIGIN	property	AffineLattice	polytope
orthantify	function		polytope
ortho_project	function		polytope
ORTH_LINEALITY_SPACE	property	PolyhedralFan	fan
OUTER_DESCRIPTION	function	Polytope	polytope
out_adjacent_nodes	function	Graph<Graph::Dir>	common
out_degree	function	Graph<Graph::Dir>	common
out_edges	function	Graph<Graph::Dir>	common
oxley_matroids	function		matroid
p	function	ExtGCD	common
p7_matroid	function		matroid
p8_matroid	function		matroid
Pair	property-type		common
pappus_matroid	function		matroid
parallel_extension	function		matroid
parallel_extension	function		matroid
path_graph	function		graph
PAVING	property	Matroid	matroid
perles_irrational_8_polytope	function		polytope
permutahedron	function		polytope
PERMUTATION	property	Cone	polytope
PERMUTATION	property	Cone	polytope
PERMUTATION	property	SimplicialComplex	topaz
PERMUTATION	property	SimplicialComplex	topaz
PERMUTATION	property	PolyhedralFan	fan
PERMUTATION	property	PolyhedralFan	fan
PERMUTATION	property	TropicalPolytope	tropical
PERMUTATION	property	Hypersurface	tropical
PERMUTATION	property	Hypersurface	tropical
PERMUTATION	property	Graph	graph
permutation_cycles	function		common
permutation_matrix	function		common
permutation_sign	function		common
permuted	function	Plucker<Plucker::Scalar>	common
perturb_matrix	function		common
petersen	function		graph
pg23_matroid	function		matroid
PIF_CYCLIC_NORMAL	property	PointConfiguration	polytope
pile	function		polytope
placing_triangulation	function		polytope
platonic_solids	function		polytope
Plucker	property-type		common
Plucker<Plucker::Scalar>	property-type		common
pluecker	function		common
pl_homeomorphic	function		topaz
PointBorderColor	option	Visual::PointSet::decorations	common
PointBorderThickness	option	Visual::PointSet::decorations	common
PointColor	option	Visual::PointSet::decorations	common
PointConfiguration	object		polytope
POINTED	property	Cone	polytope
POINTED	property	Polytope	polytope
POINTED	property	PolyhedralFan	fan
pointed_part	function		polytope
PointLabels	option	Visual::PointSet::decorations	common
POINTS	property	Polytope	polytope
POINTS	property	PointConfiguration	polytope
POINTS	property	PolyhedralComplex	fan
POINTS	property	TropicalPolytope	tropical
POINTS	property	Hypersurface	tropical
points2hypersurface	function		tropical
points2metric	function		polytope
PointsPerm	permutation	Hypersurface	tropical
PointStyle	option	Visual::PointSet::decorations	common
POINTS_IN_FACETS	property	Polytope	polytope
POINTS_IN_ORBITS	property	GroupOfPolytope	group
PointThickness	option	Visual::PointSet::decorations	common
POINT_LABELS	property	PolyhedralComplex	fan
polarize	function		polytope
POLAR_SMOOTH	property	LatticePolytope	polytope
poly2lp	function		polytope
poly2metric	function		polytope
poly2trop	function		tropical
PolyhedralComplex	object		fan
PolyhedralFan	object		fan
Polynomial	property-type		common
Polynomial<Polynomial::Coefficient, Polynomial::Exponent>	property-type		common
POLYTOPAL_SUBDIVISION	function	Visual::PointConfiguration	polytope
POLYTOPAL_SUBDIVISION	property	Polytope	polytope
POLYTOPAL_SUBDIVISION	property	PointConfiguration	polytope
polytope	application		polytope
Polytope	object		polytope
POLYTOPE	property	Matroid	matroid
polytope	function	PolyhedralComplex	fan
POLYTOPE_IN_STD_BASIS	function	LatticePolytope	polytope
porta2poly	function		polytope
POSITIVE	property	Cone	polytope
POSITIVE	property	VectorConfiguration	polytope
positive_circuits	function		polytope
postscript	function		common
povray	function		common
PowerSet	property-type		common
prefer	function		core
prefer_now	function		core
PRIMARY	property	Ideal	ideal
PRIMARY_DECOMPOSITION	property	Ideal	ideal
PRIME	property	Ideal	ideal
primitive	function		common
primitive	function		common
primitive_affine	function		common
primitive_affine	function		common
PRINCIPAL	property	TDivisor	fulton
print_constraints	function		common
print_constraints	function		polytope
print_face_lattice	function		polytope
print_ordered	function	Polynomial<Polynomial::Coefficient, Polynomial::Exponent>	common
print_ordered	function	UniPolynomial<UniPolynomial::Coefficient, UniPolynomial::Exponent>	common
prism	function		polytope
privileged_subdivision	function	Hypersurface	tropical
product	function		polytope
product	function		fan
PROJECTION	property	RationalDivisorClassGroup	fulton
projection	function		polytope
projection	function		fan
projection_full	function		polytope
projection_full	function		fan
PROJECTIVE	property	NormalToricVariety	fulton
projective_plane	function		matroid
projective_space	function		fulton
project_to_orthogonal_complement	function		common
PROJ_DICTIONARY	property	SimplicialComplex	topaz
PROJ_ORBITS	property	SimplicialComplex	topaz
PropagatedPolytope	object		polytope
property_viewer	function		common
PseudoVertexPerm	permutation	TropicalPolytope	tropical
PSEUDOVERTEX_COARSE_TYPES	property	TropicalPolytope	tropical
PSEUDOVERTEX_GRAPH	property	TropicalPolytope	tropical
PSEUDOVERTEX_LABELS	property	TropicalPolytope	tropical
PSEUDOVERTEX_TYPES	property	TropicalPolytope	tropical
PSEUDOVERTICES	property	TropicalPolytope	tropical
pseudovertices2poly	function		tropical
pseudo_delpezzo	function		polytope
PSEUDO_MANIFOLD	property	SimplicialComplex	topaz
PURE	property	SimplicialComplex	topaz
PURE	property	PolyhedralFan	fan
pyramid	function		polytope
PYRAMID_LATTICE	property	VersalComponent	fulton
P_RESOLUTION	property	VersalComponent	fulton
p_sum_triangulation	function		topaz
q	function	ExtGCD	common
Q	property	CyclicQuotient	fulton
q3_gf3_star_matroid	function		matroid
q8_matroid	function		matroid
QuadraticExtension	property-type		common
quarter_turn_manifold	function		polytope
quot	function	Div	common
QuotientSpace	object		polytope
quotient_of_triangulation	function		polytope
QUOTIENT_SPACE	property	Polytope	polytope
quotient_space_faces	function		polytope
quotient_space_simplexity_ilp	function		polytope
quotient_space_simplexity_lower_bound	function		polytope
Q_CARTIER	property	TDivisor	fulton
Q_GORENSTEIN	property	PolyhedralFan	fan
Q_GORENSTEIN_CONE	property	Cone	polytope
Q_GORENSTEIN_CONE_INDEX	property	Cone	polytope
Q_GORENSTEIN_INDEX	property	PolyhedralFan	fan
r10_matroid	function		matroid
r8_matroid	function		matroid
r9a_matroid	function		matroid
r9b_matroid	function		matroid
RADICAL	property	Ideal	ideal
rand01	function		polytope
RANDOM_EDGE_EPL	property	LinearProgram	polytope
random_edge_epl	function		polytope
random_graph	function		graph
rand_aof	function		polytope
rand_box	function		polytope
rand_cyclic	function		polytope
rand_inner_points	function		polytope
rand_knot	function		topaz
rand_metric	function		polytope
rand_metric_int	function		polytope
rand_perm	function		common
rand_sphere	function		polytope
rand_vert	function		polytope
range	function		common
rank	function		common
RANK	property	Matroid	matroid
Rational	property-type		common
rational2cf	function		fulton
RationalDivisorClassGroup	object		fulton
RationalFunction	property-type		common
RATIONAL_DIVISOR_CLASS_GROUP	property	NormalToricVariety	fulton
RAYS	property	Cone	polytope
RAYS	property	PolyhedralFan	fan
RAYS	property	Hypersurface	tropical
RaysPerm	permutation	PolyhedralFan	fan
RAYS_IMAGES	property	SymmetricFan	fan
RAYS_IN_FACETS	property	Cone	polytope
RAYS_IN_INEQUALITIES	property	Cone	polytope
RAYS_IN_ORBITS	property	GroupOfCone	group
RAYS_IN_ORBITS	property	SymmetricFan	fan
RAYS_ORBIT_SIZES	property	SymmetricFan	fan
RAYS_REPS	property	SymmetricFan	fan
RAYS_REPS_LABELS	property	SymmetricFan	fan
RAY_LABELS	property	Cone	polytope
RAY_LABELS	property	PolyhedralFan	fan
RAY_SEPARATORS	property	Cone	polytope
RAY_SIZES	property	Cone	polytope
real_projective_plane	function		topaz
recession_cone	function		polytope
reconfigure	function		core
reconfigure_extension	function		core
reduce	function		common
REDUNDANT_MONOMIALS	property	Hypersurface	tropical
REFINED_SPLITS	property	Cone	polytope
REFINED_SPLITS	property	Polytope	polytope
REFINED_SPLITS	property	PointConfiguration	polytope
REFINED_SPLITS	property	PointConfiguration	polytope
REFLEXIVE	property	LatticePolytope	polytope
REGIONS	property	Hypersurface	tropical
REGULAR	property	Matroid	matroid
REGULAR	property	PolyhedralFan	fan
regularity_lp	function		polytope
regular_120_cell	function		polytope
regular_24_cell	function		polytope
regular_600_cell	function		polytope
regular_simplex	function		polytope
regular_subdivision	function		polytope
RELATIVE_VOLUME	property	Polytope	polytope
REL_INT_POINT	property	Cone	polytope
rel_int_point	function		polytope
rem	function	Div	common
remove	function	Core::Object	common
remove	function	Core::Object	common
repeat_row	function		common
replay_history	function		core
representation_conversion_up_to_symmetry	function		polytope
REPRESENTATIVE_AFFINE_HULL	property	GroupOfPolytope	group
REPRESENTATIVE_CERTIFIERS	property	OrbitPolytope	polytope
REPRESENTATIVE_CORE_POINTS	property	OrbitPolytope	polytope
REPRESENTATIVE_FACETS	property	GroupOfCone	group
REPRESENTATIVE_INTERIOR_RIDGE_SIMPLICES	property	QuotientSpace	polytope
REPRESENTATIVE_INTERIOR_RIDGE_SIMPLICES	property	GroupOfCone	group
REPRESENTATIVE_LINEAR_SPAN	property	GroupOfCone	group
REPRESENTATIVE_MAX_BOUNDARY_SIMPLICES	property	QuotientSpace	polytope
REPRESENTATIVE_MAX_BOUNDARY_SIMPLICES	property	GroupOfCone	group
REPRESENTATIVE_MAX_INTERIOR_SIMPLICES	property	QuotientSpace	polytope
REPRESENTATIVE_MAX_INTERIOR_SIMPLICES	property	GroupOfCone	group
REPRESENTATIVE_RAYS	property	GroupOfCone	group
REPRESENTATIVE_SIMPLICES	property	GroupOfCone	group
REPRESENTATIVE_VERTICES	property	GroupOfPolytope	group
REPS_FACET_NORMALS	property	SymmetricFan	fan
REPS_LINEAR_SPAN_NORMALS	property	SymmetricFan	fan
reset_custom	function		core
reset_preference	function		core
resize	function	SparseMatrix<SparseMatrix::Element, SparseMatrix::Sym>	common
revert	function		polytope
REVLEX_BASIS_ENCODING	property	Matroid	matroid
RGB	property-type		common
rhombicosidodecahedron	function		polytope
RIF_CYCLIC_NORMAL	property	Cone	polytope
Ring	property-type		common
RING	property	Ideal	ideal
Ring<Ring::Coefficient, Ring::Exponent>	property-type		common
ROTATION	property	SchlegelDiagram	polytope
row	function	IncidenceMatrix<IncidenceMatrix::Sym>	common
row	function	Matrix<Matrix::Element, Matrix::Sym>	common
rows	function	IncidenceMatrix<IncidenceMatrix::Sym>	common
rows	function	Matrix<Matrix::Element, Matrix::Sym>	common
rows	function		common
rows	function		common
rows_labeled	function		common
rows_labeled	function		common
rows_numbered	function		common
rss_associahedron	function		polytope
save	function		core
save_data	function		core
save_history	function		core
SCALAR	property-type		common
scalar2set	function		common
Scale	option	Visual::PointSet::decorations	common
scale	function		polytope
SCHLEGEL	function	Polytope	polytope
SchlegelDiagram	object		polytope
SCHLEGEL_DIAGRAM	property	Polytope	polytope
schlegel_init	common-option-list		polytope
script	function		core
secondary_cone	function		polytope
secondary_fan	function		fan
SECTION_POLYTOPE	property	TDivisor	fulton
select_subset	function		common
SELF_DUAL	property	Cone	polytope
SELF_DUAL	property	Polytope	polytope
SEMIAMPLE	property	TDivisor	fulton
separating_hyperplane	function		polytope
separating_hyperplane_poly	function		polytope
sequence	function		common
Serialized	property-type		common
series_extension	function		matroid
series_extension	function		matroid
SERIES_PARALLEL	property	Matroid	matroid
Set	property-type		common
Set<Set::Element>	property-type		common
set_custom	function		core
SHELLABLE	property	SimplicialComplex	topaz
SHELLING	property	SimplicialComplex	topaz
show_credits	function		core
show_extensions	function		core
show_preferences	function		core
show_unconfigured	function		core
SIGNATURE	property	GeometricSimplicialComplex	topaz
SIGNATURE	property	Graph	graph
SIGNED_INCIDENCE_MATRIX	property	Graph	graph
signed_incidence_matrix	function		graph
signed_permutahedron	function		polytope
SIMPLE	property	Cone	polytope
SIMPLE	property	Polytope	polytope
simplex	function		polytope
simplex	function		topaz
simplexity_ilp	function		polytope
simplexity_ilp_with_angles	function		polytope
SIMPLEXITY_LOWER_BOUND	property	QuotientSpace	polytope
SIMPLEXITY_LOWER_BOUND	property	Polytope	polytope
SIMPLEXITY_LOWER_BOUND	property	PointConfiguration	polytope
simplexity_lower_bound	function		polytope
SIMPLEXITY_LOWER_BOUND	property	GroupOfCone	group
SIMPLE_POLYHEDRON	property	Polytope	polytope
simple_roots_type_A	function		polytope
simple_roots_type_B	function		polytope
simple_roots_type_C	function		polytope
simple_roots_type_D	function		polytope
simple_roots_type_E6	function		polytope
simple_roots_type_E7	function		polytope
simple_roots_type_E8	function		polytope
simple_roots_type_F4	function		polytope
simple_roots_type_G2	function		polytope
simple_roots_type_H3	function		polytope
simple_roots_type_H4	function		polytope
SIMPLICES	property	QuotientSpace	polytope
SIMPLICIAL	property	Cone	polytope
SIMPLICIAL	property	Polytope	polytope
SIMPLICIAL	property	PolyhedralFan	fan
SimplicialComplex	object		topaz
SIMPLICIALITY	property	Polytope	polytope
SIMPLICIAL_COMPLEX	property	QuotientSpace	polytope
SIMPLICIAL_CONE	property	Cone	polytope
simplicial_product	function		topaz
simplicial_product	function		topaz
SIMPLICITY	property	Polytope	polytope
SITES	property	VoronoiDiagram	polytope
SITE_LABELS	property	VoronoiDiagram	polytope
size	function	Set<Set::Element>	common
size	function	FacetList	common
size	function	boost_dynamic_bitset	common
size	function	Array<Array::Element>	common
size	function	SparseVector<SparseVector::Element>	common
sketch	function		common
slice	function	Vector<Vector::Element>	common
slice	function	Vector<Vector::Element>	common
SmithNormalForm	property-type		common
smith_normal_form	function		common
SMOOTH	property	NormalToricVariety	fulton
SMOOTH	property	LatticePolytope	polytope
SMOOTH_CONE	property	Cone	polytope
SMOOTH_FAN	property	PolyhedralFan	fan
SOLID	function	Visual::SchlegelDiagram	polytope
SparseIterator	property-type		common
SparseMatrix	property-type		common
SparseMatrix<SparseMatrix::Element, SparseMatrix::Sym>	property-type		common
SparseVector	property-type		common
SparseVector<SparseVector::Element>	property-type		common
SPECIAL_FACETS	property	Polytope	polytope
SPHERE	property	SimplicialComplex	topaz
sphere	function		topaz
spherize	function		polytope
SPLITS	property	Polytope	polytope
SPLITS	property	PointConfiguration	polytope
splits	function		polytope
splitstree	function		polytope
splits_in_subdivision	function		polytope
SPLIT_COMPATIBILITY_GRAPH	property	Polytope	polytope
SPLIT_COMPATIBILITY_GRAPH	property	PointConfiguration	polytope
split_compatibility_graph	function		polytope
split_polyhedron	function		polytope
spring_embedder	function		graph
SQUARED_DETERMINANT	property	AffineLattice	polytope
SQUARED_EDGE_LENGTHS	property	Polytope	polytope
SQUARED_RELATIVE_VOLUMES	property	Polytope	polytope
squeeze	function	IncidenceMatrix<IncidenceMatrix::Sym>	common
squeeze	function	Graph<Graph::Dir>	common
squeeze	function	SparseMatrix<SparseMatrix::Element, SparseMatrix::Sym>	common
squeeze_cols	function	IncidenceMatrix<IncidenceMatrix::Sym>	common
squeeze_cols	function	SparseMatrix<SparseMatrix::Element, SparseMatrix::Sym>	common
squeeze_isolated	function	Graph<Graph::Dir>	common
squeeze_rows	function	IncidenceMatrix<IncidenceMatrix::Sym>	common
squeeze_rows	function	SparseMatrix<SparseMatrix::Element, SparseMatrix::Sym>	common
stabilizer_of_set	function		group
stabilizer_of_vector	function		group
stable_set	function		polytope
stack	function		polytope
staircase_weight	function		polytope
stanley_reisner	function		topaz
star	function		topaz
star_deletion	function		topaz
static	function		common
STEINER	function	Visual::Polytope	polytope
STEINER	function	Visual::SchlegelDiagram	polytope
STEINER_POINT	property	Polytope	polytope
steiner_point	function		polytope
STEINER_POINTS	property	Polytope	polytope
stellar_all_faces	function		polytope
stellar_indep_faces	function		polytope
stellar_subdivision	function		polytope
stellar_subdivision	function		topaz
stellar_subdivision	function		topaz
STIEFEL_WHITNEY	property	SimplicialComplex	topaz
stiefel_whitney	function		topaz
String	property-type		common
STRONG_GENERATORS	property	Group	group
SUBCOMPLEX	function	Visual::SimplicialComplex	topaz
SUBCOMPLEX	function	Visual::SimplicialComplexLattice	topaz
subcone	function		polytope
SUBRIDGE_SIZES	property	Polytope	polytope
sum_of_square_roots_naive	function		common
SUM_PRODUCT_GRAPH	property	PropagatedPolytope	polytope
SURFACE	property	SimplicialComplex	topaz
surface	function		topaz
suspension	function		topaz
Symmetric	property-type		common
SymmetricCone	object		polytope
SymmetricFan	object		fan
SymmetricPolytope	object		polytope
SYMMETRIC_FACETS	property	GroupOfCone	group
symmetric_group	function		polytope
symmetric_group	function		group
SYMMETRIC_RAYS	property	GroupOfCone	group
SYMMETRIC_VERTICES	property	GroupOfPolytope	group
SYMMETRIZED_COCIRCUIT_EQUATIONS	property	GroupOfCone	group
symmetrized_foldable_max_signature_ilp	function		polytope
symmetrized_foldable_max_signature_upper_bound	function		polytope
SYMMETRY_GENERATORS	property	SymmetricFan	fan
SYMMETRY_GROUP	property	QuotientSpace	polytope
SYMMETRY_GROUP	property	SymmetricFan	fan
t8_matroid	function		matroid
TAXA	property	TightSpan	polytope
tdet	function		tropical
TDivisor	object		fulton
tensor	function		polytope
Term	property-type		common
TERMINAL	property	LatticePolytope	polytope
TERM_ORDER_MATRIX	property	GroebnerBasis	polytope
TERM_ORDER_NAME	property	GroebnerBasis	polytope
TERNARY	property	Matroid	matroid
TERNARY_VECTORS	property	Matroid	matroid
tetrahedron	function		polytope
Text	property-type		common
thrackle_metric	function		polytope
threejs	function		common
TightSpan	object		polytope
tight_span	function		polytope
tight_span	function		polytope
tikz	function		common
TILING_LATTICE	property	Polytope	polytope
tiling_quotient	function		fan
Title	option	Visual::PointSet::decorations	common
toMatrix	function		common
topaz	application		topaz
topcom_all_fine_triangulations	function		polytope
topcom_all_triangulations	function		polytope
toPolynomial	function		common
top_node	function	FaceLattice	graph
torus	function		topaz
totally_dual_integral	function		polytope
totally_unimodular	function		common
TOTAL_LENGTH	property	Polytope	polytope
TOTAL_SPACE	property	VersalComponent	fulton
toVector	function		common
TOWARDS_FAR_FACE	property	Polytope	polytope
TRANSFORM	property	SchlegelDiagram	polytope
transform	function		polytope
translate	function		polytope
TRANSLATIONS	property	PropagatedPolytope	polytope
transportation	function		polytope
transpose	function		common
transpose	function		common
TRANSVERSALS	property	Group	group
TRANSVERSAL_SIZES	property	Group	group
TRIANGLES	property	VersalComponent	fulton
TRIANGLE_FREE	function	Cone	polytope
TRIANGLE_FREE	property	Graph	graph
TRIANGULATION	function	Visual::Polytope	polytope
TRIANGULATION	function	Visual::PointConfiguration	polytope
TRIANGULATION	property	Cone	polytope
TRIANGULATION	property	PointConfiguration	polytope
TRIANGULATION_BOUNDARY	function	Visual::Polytope	polytope
TRIANGULATION_BOUNDARY	function	Visual::SchlegelDiagram	polytope
TRIANGULATION_BOUNDARY	function	Visual::PointConfiguration	polytope
TRIANGULATION_BOUNDARY_SOLID	function	Visual::SchlegelDiagram	polytope
TRIANGULATION_INT	property	Cone	polytope
TRIANGULATION_INT_SIGNS	function	Polytope	polytope
TRIANGULATION_SIGNS	function	Polytope	polytope
TRIANGULATION_SIGNS	function	PointConfiguration	polytope
trivial	function	Polynomial<Polynomial::Coefficient, Polynomial::Exponent>	common
trop2poly	function		tropical
tropical	application		tropical
TropicalNumber	property-type		common
TropicalNumber<TropicalNumber::Addition, TropicalNumber::Scalar>	property-type		common
TropicalPolytope	object		tropical
TropicalVariety	object		fan
tropical_complex	function		tropical
tropical_intersection	function		tropical
tropical_matroid_polytope	function		tropical
truncated_cuboctahedron	function		polytope
truncated_dodecahedron	function		polytope
truncated_icosahedron	function		polytope
truncated_icosidodecahedron	function		polytope
truncated_octahedron	function		polytope
truncated_orbit_polytope	function		polytope
truncation	function		polytope
ts_max_metric	function		polytope
ts_min_metric	function		polytope
ts_thrackle_metric	function		polytope
tutte_lifting	function		polytope
TUTTE_POLYNOMIAL	property	Matroid	matroid
TWO_FACE_SIZES	property	Polytope	polytope
two_sum	function		matroid
types	function		tropical
UNBOUNDED_FACETS	property	Polytope	polytope
unconfigure	function		core
Undirected	property-type		common
UndirectedMulti	property-type		common
uniform_matroid	function		matroid
UniMonomial	property-type		common
union	function		topaz
UniPolynomial	property-type		common
UniPolynomial<UniPolynomial::Coefficient, UniPolynomial::Exponent>	property-type		common
unirand	function		polytope
UniTerm	property-type		common
unit_matrix	function		common
unit_vector	function		common
unknot	function		topaz
upper_bound_theorem	function		polytope
validate_moebius_strip	function		polytope
validate_moebius_strip_quads	function		polytope
VALID_POINT	property	Polytope	polytope
vamos_matroid	function		matroid
variable	function	Ring<Ring::Coefficient, Ring::Exponent>	common
variables	function	Ring<Ring::Coefficient, Ring::Exponent>	common
Vector	property-type		common
vector2col	function		common
vector2row	function		common
Vector<Vector::Element>	property-type		common
VectorConfiguration	object		polytope
VECTORS	property	VectorConfiguration	polytope
VECTORS	property	Matroid	matroid
VersalComponent	object		fulton
VERSAL_COMPONENT	property	CyclicQuotient	fulton
VERSAL_COMPONENTS	property	CyclicQuotient	fulton
VertexBorderColor	option	Visual::PointSet::decorations	common
VertexBorderThickness	option	Visual::PointSet::decorations	common
VertexColor	option	Visual::PointSet::decorations	common
VertexLabels	option	Visual::PointSet::decorations	common
VertexPerm	permutation	Cone	polytope
VertexPerm	permutation	SimplicialComplex	topaz
VertexStyle	option	Visual::PointSet::decorations	common
VertexThickness	option	Visual::PointSet::decorations	common
VERTEX_BARYCENTER	property	Polytope	polytope
VERTEX_COLORS	function	Visual::Polytope	polytope
VERTEX_COLORS	function	Visual::SchlegelDiagram	polytope
VERTEX_COLORS	function	Visual::PolytopeGraph	polytope
vertex_colors	function		polytope
VERTEX_DEGREES	function	Cone	polytope
VERTEX_DEGREES	function	SimplicialComplex	topaz
vertex_figure	function		polytope
VERTEX_INDICES	property	SimplicialComplex	topaz
VERTEX_IN_DEGREES	function	LinearProgram	polytope
VERTEX_LABELS	property	Polytope	polytope
VERTEX_LABELS	property	SimplicialComplex	topaz
VERTEX_LABELS	property	PolyhedralComplex	fan
VERTEX_LABELS	property	TropicalPolytope	tropical
vertex_lattice_normalization	function		polytope
VERTEX_NORMALS	property	Polytope	polytope
VERTEX_OUT_DEGREES	function	LinearProgram	polytope
VERTEX_POINT_MAP	property	PointConfiguration	polytope
VERTEX_POINT_MAP	property	PointConfiguration	polytope
VERTEX_SIZES	property	Polytope	polytope
VERTEX_TYPES	property	TropicalPolytope	tropical
VERTICES	property	Polytope	polytope
VERTICES	property	SchlegelDiagram	polytope
VERTICES	property	PolyhedralComplex	fan
VERTICES	property	TropicalPolytope	tropical
VERTICES	property	Hypersurface	tropical
VERTICES_IN_FACETS	property	Polytope	polytope
VERTICES_IN_INEQUALITIES	property	Polytope	polytope
VERTICES_IN_METRIC	property	TightSpan	polytope
VERTICES_IN_ORBITS	property	GroupOfPolytope	group
VERY_AMPLE	property	LatticePolytope	polytope
ViewDirection	option	Visual::PointSet::decorations	common
ViewPoint	option	Visual::PointSet::decorations	common
VIEWPOINT	property	SchlegelDiagram	polytope
ViewUp	option	Visual::PointSet::decorations	common
VIF_CYCLIC_NORMAL	property	Polytope	polytope
violations	function		polytope
VISUAL	function	Polytope	polytope
VISUAL	function	PointConfiguration	polytope
VISUAL	function	SchlegelDiagram	polytope
VISUAL	function	SimplicialComplex	topaz
VISUAL	function	PolyhedralFan	fan
VISUAL	function	PolyhedralComplex	fan
VISUAL	function	PolyhedralComplex	fan
VISUAL	function	TropicalPolytope	tropical
VISUAL	function	Hypersurface	tropical
VISUAL	function	Graph	graph
VISUAL	function	FaceLattice	graph
Visual::Graph::decorations	common-option-list		graph
Visual::Lattice::decorations	common-option-list		graph
Visual::PointConfiguration	object		polytope
Visual::PointSet::decorations	common-option-list		common
Visual::Polygon::decorations	common-option-list		common
Visual::Polygons::decorations	common-option-list		common
Visual::Polytope	object		polytope
Visual::PolytopeGraph	object		polytope
Visual::PolytopeLattice	object		polytope
Visual::SchlegelDiagram	object		polytope
Visual::SimplicialComplex	object		topaz
Visual::SimplicialComplexLattice	object		topaz
Visual::Wire::decorations	common-option-list		common
visualizeNOP	function		polytope
visualizeNOPGraph	function		polytope
VISUAL_BOUNDED_GRAPH	function	Polytope	polytope
VISUAL_BOUNDED_GRAPH	function	TightSpan	polytope
VISUAL_CRUST	function	VoronoiDiagram	polytope
VISUAL_DUAL	function	Polytope	polytope
VISUAL_DUAL	function	FaceLattice	graph
VISUAL_DUAL_FACE_LATTICE	function	Polytope	polytope
VISUAL_DUAL_GRAPH	function	Polytope	polytope
VISUAL_DUAL_GRAPH	function	SimplicialComplex	topaz
VISUAL_FACE_LATTICE	function	Polytope	polytope
VISUAL_FACE_LATTICE	function	SimplicialComplex	topaz
VISUAL_GRAPH	function	Polytope	polytope
VISUAL_GRAPH	function	SimplicialComplex	topaz
VISUAL_HYPERPLANE_ARRANGEMENT	function	TropicalPolytope	tropical
VISUAL_MIXED_GRAPH	function	SimplicialComplex	topaz
VISUAL_NN_CRUST	function	VoronoiDiagram	polytope
VISUAL_ORBIT_COLORED_GRAPH	function	SymmetricCone	polytope
VISUAL_PLANAR	function	TropicalPolytope	tropical
VISUAL_POINTS	function	PointConfiguration	polytope
VISUAL_PSEUDOVERTEX_GRAPH	function	TropicalPolytope	tropical
VISUAL_SPLITS	function	TightSpan	polytope
VISUAL_TIGHT_SPAN	function	TightSpan	polytope
VISUAL_TRIANGULATION_BOUNDARY	function	Polytope	polytope
VISUAL_VORONOI	function	VoronoiDiagram	polytope
vlabels	function		polytope
VOLUME	property	Polytope	polytope
VOLUME	property	GeometricSimplicialComplex	topaz
VoronoiDiagram	object		polytope
VORONOI_GRAPH	property	VoronoiDiagram	polytope
VORONOI_VERTICES	property	VoronoiDiagram	polytope
WEAKLY_CENTERED	property	Polytope	polytope
wedge	function		polytope
weighted_digraph_polyhedron	function		polytope
WEIGHTS	property	Cone	polytope
WEIGHTS	property	Polytope	polytope
WEIGHTS	property	PointConfiguration	polytope
WEIGHTS	property	PointConfiguration	polytope
WEIGHT_CONE	property	AffineNormalToricVariety	fulton
wheel4_matroid	function		matroid
wreath	function		polytope
write_foldable_max_signature_ilp	function		polytope
write_quotient_space_simplexity_ilp	function		polytope
write_simplexity_ilp	function		polytope
wronski_center_ideal	function		polytope
wronski_polynomial	function		polytope
wronski_system	function		polytope
wythoff	function		polytope
zero	function	TropicalNumber<TropicalNumber::Addition, TropicalNumber::Scalar>	common
ZERO	property	Ideal	ideal
zero_matrix	function		common
zero_vector	function		common
zonotope	function		polytope
ZONOTOPE_INPUT_POINTS	property	Polytope	polytope
zonotope_tiling_lattice	function		polytope
zonotope_vertices_fukuda	function		polytope
ZOOM	option	schlegel_init	polytope
ZOOM	property	SchlegelDiagram	polytope
_4ti2Circuits	function		matroid