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modules
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Combinatorial and Discrete Geometry
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Index
A
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B
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C
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D
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E
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F
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G
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H
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I
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J
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K
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L
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M
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N
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O
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P
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Q
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R
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S
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T
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U
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V
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W
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Z
A
A() (sage.geometry.linear_expression.LinearExpression method)
(sage.geometry.polyhedron.double_description.Problem method)
(sage.geometry.polyhedron.representation.Hrepresentation method)
A_matrix() (sage.geometry.polyhedron.double_description.Problem method)
add_hyperplane() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
add_inequality() (sage.geometry.polyhedron.double_description.StandardDoubleDescriptionPair method)
adjacency_graph() (sage.geometry.triangulation.element.Triangulation method)
adjacency_matrix() (sage.geometry.polyhedron.base.Polyhedron_base method)
adjacent() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
(sage.geometry.lattice_polytope.LatticePolytopeClass method)
(sage.geometry.polyhedron.representation.Hrepresentation method)
(sage.geometry.polyhedron.representation.Vrepresentation method)
adjust_options() (sage.geometry.toric_plotter.ToricPlotter method)
affine() (sage.geometry.triangulation.base.Point method)
affine_hull() (sage.geometry.polyhedron.base.Polyhedron_base method)
affine_lattice_polytope() (sage.geometry.polyhedron.ppl_lattice_polytope.LatticePolytope_PPL_class method)
affine_space() (sage.geometry.polyhedron.ppl_lattice_polytope.LatticePolytope_PPL_class method)
affine_transform() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
AffineSubspace (class in sage.geometry.hyperplane_arrangement.affine_subspace)
all_cached_data() (in module sage.geometry.lattice_polytope)
all_facet_equations() (in module sage.geometry.lattice_polytope)
all_nef_partitions() (in module sage.geometry.lattice_polytope)
all_points() (in module sage.geometry.lattice_polytope)
all_polars() (in module sage.geometry.lattice_polytope)
ambient() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
(sage.geometry.lattice_polytope.LatticePolytopeClass method)
ambient_dim() (sage.geometry.polyhedron.base.Polyhedron_base method)
(sage.geometry.polyhedron.face.PolyhedronFace method)
(sage.geometry.triangulation.base.PointConfiguration_base method)
(sage.geometry.voronoi_diagram.VoronoiDiagram method)
(sage.rings.polynomial.groebner_fan.PolyhedralCone method)
(sage.rings.polynomial.groebner_fan.PolyhedralFan method)
ambient_facet_indices() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
ambient_Hrepresentation() (sage.geometry.polyhedron.face.PolyhedronFace method)
ambient_module() (sage.geometry.toric_lattice.ToricLattice_ambient method)
ambient_ordered_point_indices() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
ambient_point_indices() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
ambient_ray_indices() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
ambient_space() (sage.geometry.polyhedron.base.Polyhedron_base method)
(sage.geometry.polyhedron.ppl_lattice_polytope.LatticePolytope_PPL_class method)
ambient_vertex_indices() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
ambient_Vrepresentation() (sage.geometry.polyhedron.face.PolyhedronFace method)
AmbientVectorSpace (in module sage.geometry.hyperplane_arrangement.hyperplane)
are_adjacent() (sage.geometry.polyhedron.double_description.DoubleDescriptionPair method)
are_satisfied() (sage.geometry.integral_points.InequalityCollection method)
as_polyhedron() (sage.geometry.polyhedron.face.PolyhedronFace method)
associahedron() (sage.geometry.polyhedron.library.Polytopes static method)
B
b() (sage.geometry.linear_expression.LinearExpression method)
(sage.geometry.polyhedron.representation.Hrepresentation method)
backend() (sage.geometry.polyhedron.base.Polyhedron_base method)
barycentric_subdivision() (sage.geometry.polyhedron.base.Polyhedron_base method)
base_extend() (sage.geometry.polyhedron.base.Polyhedron_base method)
(sage.geometry.toric_lattice.ToricLattice_quotient method)
base_projection() (sage.geometry.polyhedron.ppl_lattice_polytope.LatticePolytope_PPL_class method)
base_projection_matrix() (sage.geometry.polyhedron.ppl_lattice_polytope.LatticePolytope_PPL_class method)
base_rays() (sage.geometry.polyhedron.ppl_lattice_polytope.LatticePolytope_PPL_class method)
base_ring() (sage.geometry.polyhedron.base.Polyhedron_base method)
(sage.geometry.polyhedron.double_description.Problem method)
(sage.geometry.triangulation.base.PointConfiguration_base method)
(sage.geometry.voronoi_diagram.VoronoiDiagram method)
basis() (sage.geometry.point_collection.PointCollection method)
bigraphical() (sage.geometry.hyperplane_arrangement.library.HyperplaneArrangementLibrary method)
bipartite_ribbon_graph() (in module sage.geometry.ribbon_graph)
bipyramid() (sage.geometry.polyhedron.base.Polyhedron_base method)
Birkhoff_polytope() (sage.geometry.polyhedron.library.Polytopes method)
boundary() (sage.geometry.triangulation.element.Triangulation method)
boundary_point_indices() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
boundary_points() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
bounded_edges() (sage.geometry.polyhedron.base.Polyhedron_base method)
bounded_regions() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
bounding_box() (sage.geometry.polyhedron.base.Polyhedron_base method)
(sage.geometry.polyhedron.ppl_lattice_polytope.LatticePolytope_PPL_class method)
braid() (sage.geometry.hyperplane_arrangement.library.HyperplaneArrangementLibrary method)
buchberger() (sage.rings.polynomial.groebner_fan.GroebnerFan method)
buckyball() (sage.geometry.polyhedron.library.Polytopes method)
C
cardinality() (sage.geometry.point_collection.PointCollection method)
cartesian_product() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
(sage.geometry.cone.IntegralRayCollection method)
(sage.geometry.fan.RationalPolyhedralFan method)
(sage.geometry.point_collection.PointCollection method)
Catalan() (sage.geometry.hyperplane_arrangement.library.HyperplaneArrangementLibrary method)
cdd_Hrepresentation() (in module sage.geometry.polyhedron.cdd_file_format)
(sage.geometry.polyhedron.base.Polyhedron_base method)
cdd_Vrepresentation() (in module sage.geometry.polyhedron.cdd_file_format)
(sage.geometry.polyhedron.base.Polyhedron_base method)
center() (sage.geometry.polyhedron.base.Polyhedron_base method)
change_ring() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
(sage.geometry.linear_expression.LinearExpression method)
characteristic() (sage.rings.polynomial.groebner_fan.GroebnerFan method)
characteristic_polynomial() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
classify_cone_2d() (in module sage.geometry.cone)
closed_faces() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
codim() (sage.geometry.cone.IntegralRayCollection method)
codomain_dim() (sage.geometry.polyhedron.lattice_euclidean_group_element.LatticeEuclideanGroupElement method)
codomain_fan() (sage.geometry.fan_morphism.FanMorphism method)
coefficients() (sage.geometry.linear_expression.LinearExpression method)
color_list() (in module sage.geometry.toric_plotter)
column_matrix() (sage.geometry.point_collection.PointCollection method)
combinatorial_automorphism_group() (sage.geometry.polyhedron.base.Polyhedron_base method)
common_refinement() (sage.geometry.fan.RationalPolyhedralFan method)
complex() (sage.geometry.fan.RationalPolyhedralFan method)
Cone() (in module sage.geometry.cone)
cone() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
(sage.geometry.polyhedron.double_description.DoubleDescriptionPair method)
(sage.rings.polynomial.groebner_fan.InitialForm method)
cone_containing() (sage.geometry.fan.RationalPolyhedralFan method)
cone_lattice() (sage.geometry.fan.RationalPolyhedralFan method)
Cone_of_fan (class in sage.geometry.fan)
cones() (sage.geometry.fan.RationalPolyhedralFan method)
(sage.rings.polynomial.groebner_fan.PolyhedralFan method)
ConnectedTriangulationsIterator (class in sage.geometry.triangulation.base)
constant_term() (sage.geometry.linear_expression.LinearExpression method)
construct_free_chain() (in module sage.geometry.hyperplane_arrangement.check_freeness)
construction() (sage.geometry.toric_lattice.ToricLattice_generic method)
contains() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
(sage.geometry.fan.RationalPolyhedralFan method)
(sage.geometry.lattice_polytope.LatticePolytopeClass method)
(sage.geometry.polyhedron.base.Polyhedron_base method)
(sage.geometry.polyhedron.ppl_lattice_polytope.LatticePolytope_PPL_class method)
(sage.geometry.polyhedron.representation.Equation method)
(sage.geometry.polyhedron.representation.Inequality method)
contains_origin() (sage.geometry.polyhedron.ppl_lattice_polytope.LatticePolytope_PPL_class method)
convex_hull() (in module sage.geometry.lattice_polytope)
(sage.geometry.polyhedron.base.Polyhedron_base method)
ConvexRationalPolyhedralCone (class in sage.geometry.cone)
coord_index_of() (sage.geometry.polyhedron.plot.Projection method)
coord_indices_of() (sage.geometry.polyhedron.plot.Projection method)
coordinate() (sage.geometry.hyperplane_arrangement.library.HyperplaneArrangementLibrary method)
coordinate_vector() (sage.geometry.toric_lattice.ToricLattice_quotient method)
coordinates_of() (sage.geometry.polyhedron.plot.Projection method)
count() (sage.geometry.polyhedron.representation.PolyhedronRepresentation method)
create_key() (sage.geometry.toric_lattice.ToricLatticeFactory method)
create_object() (sage.geometry.toric_lattice.ToricLatticeFactory method)
cross_polytope() (in module sage.geometry.lattice_polytope)
(sage.geometry.polyhedron.library.Polytopes method)
cross_positive_operators_gens() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
cube() (sage.geometry.polyhedron.library.Polytopes method)
cuboctahedron() (sage.geometry.polyhedron.library.Polytopes method)
cyclic_polytope() (sage.geometry.polyhedron.library.Polytopes method)
cyclic_sort_vertices_2d() (in module sage.geometry.polyhedron.plot)
D
defining_polynomial() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
deletion() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
Delta() (sage.geometry.lattice_polytope.NefPartition method)
Delta_polar() (sage.geometry.lattice_polytope.NefPartition method)
Deltas() (sage.geometry.lattice_polytope.NefPartition method)
dense_coefficient_list() (sage.geometry.linear_expression.LinearExpression method)
derivation_module_basis() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
derivation_module_free_chain() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
dilation() (sage.geometry.polyhedron.base.Polyhedron_base method)
dim() (sage.geometry.cone.IntegralRayCollection method)
(sage.geometry.lattice_polytope.LatticePolytopeClass method)
(sage.geometry.point_collection.PointCollection method)
(sage.geometry.polyhedron.base.Polyhedron_base method)
(sage.geometry.polyhedron.double_description.Problem method)
(sage.geometry.polyhedron.face.PolyhedronFace method)
(sage.geometry.triangulation.base.PointConfiguration_base method)
(sage.rings.polynomial.groebner_fan.PolyhedralCone method)
(sage.rings.polynomial.groebner_fan.PolyhedralFan method)
dimension() (sage.geometry.hyperplane_arrangement.affine_subspace.AffineSubspace method)
(sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
(sage.geometry.hyperplane_arrangement.hyperplane.Hyperplane method)
(sage.geometry.point_collection.PointCollection method)
(sage.geometry.polyhedron.base.Polyhedron_base method)
(sage.geometry.toric_lattice.ToricLattice_quotient method)
dimension_of_homogeneity_space() (sage.rings.polynomial.groebner_fan.GroebnerFan method)
direct_sum() (sage.geometry.polyhedron.base.Polyhedron_base method)
(sage.geometry.toric_lattice.ToricLattice_generic method)
discard_faces() (in module sage.geometry.fan)
discrete_complementarity_set() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
distance_between_regions() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
distance_enumerator() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
distances() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
dodecahedron() (sage.geometry.polyhedron.library.Polytopes method)
domain_dim() (sage.geometry.polyhedron.lattice_euclidean_group_element.LatticeEuclideanGroupElement method)
domain_fan() (sage.geometry.fan_morphism.FanMorphism method)
DoubleDescriptionPair (class in sage.geometry.polyhedron.double_description)
doubly_indexed_whitney_number() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
dual() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
(sage.geometry.lattice_polytope.LatticePolytopeClass method)
(sage.geometry.lattice_polytope.NefPartition method)
(sage.geometry.polyhedron.double_description.DoubleDescriptionPair method)
(sage.geometry.toric_lattice.ToricLattice_ambient method)
(sage.geometry.toric_lattice.ToricLattice_quotient method)
(sage.geometry.toric_lattice.ToricLattice_sublattice_with_basis method)
dual_lattice() (sage.geometry.cone.IntegralRayCollection method)
(sage.geometry.lattice_polytope.LatticePolytopeClass method)
dual_module() (sage.geometry.point_collection.PointCollection method)
E
edges() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
edges_lp() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
ehrhart_polynomial() (sage.geometry.polyhedron.base_ZZ.Polyhedron_ZZ method)
Element (sage.geometry.polyhedron.parent.Polyhedra_field attribute)
(sage.geometry.polyhedron.parent.Polyhedra_QQ_cdd attribute)
(sage.geometry.polyhedron.parent.Polyhedra_QQ_normaliz attribute)
(sage.geometry.polyhedron.parent.Polyhedra_QQ_ppl attribute)
(sage.geometry.polyhedron.parent.Polyhedra_RDF_cdd attribute)
(sage.geometry.polyhedron.parent.Polyhedra_ZZ_normaliz attribute)
(sage.geometry.polyhedron.parent.Polyhedra_ZZ_ppl attribute)
(sage.geometry.polyhedron.parent.Polyhedra_polymake attribute)
(sage.geometry.toric_lattice.ToricLattice_ambient attribute)
(sage.geometry.toric_lattice.ToricLattice_generic attribute)
(sage.geometry.toric_lattice.ToricLattice_quotient attribute)
embed() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
(sage.geometry.fan.RationalPolyhedralFan method)
embed_in_reflexive_polytope() (sage.geometry.polyhedron.ppl_lattice_polytope.LatticePolytope_PPL_class method)
enumerate_simplices() (sage.geometry.triangulation.element.Triangulation method)
Equation (class in sage.geometry.polyhedron.representation)
equation_generator() (sage.geometry.polyhedron.base.Polyhedron_base method)
equations() (sage.geometry.polyhedron.base.Polyhedron_base method)
equations_list() (sage.geometry.polyhedron.base.Polyhedron_base method)
essentialization() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
eval() (sage.geometry.polyhedron.representation.Hrepresentation method)
evaluate() (sage.geometry.linear_expression.LinearExpression method)
evaluated_on() (sage.geometry.polyhedron.representation.Line method)
(sage.geometry.polyhedron.representation.Ray method)
(sage.geometry.polyhedron.representation.Vertex method)
F
f_vector() (sage.geometry.polyhedron.base.Polyhedron_base method)
(sage.rings.polynomial.groebner_fan.PolyhedralFan method)
face_fan() (sage.geometry.polyhedron.base.Polyhedron_base method)
face_lattice() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
(sage.geometry.lattice_polytope.LatticePolytopeClass method)
(sage.geometry.polyhedron.base.Polyhedron_base method)
face_product() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
face_semigroup_algebra() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
face_split() (sage.geometry.polyhedron.base.Polyhedron_base method)
face_truncation() (sage.geometry.polyhedron.base.Polyhedron_base method)
face_vector() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
FaceFan() (in module sage.geometry.fan)
faces() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
(sage.geometry.lattice_polytope.LatticePolytopeClass method)
(sage.geometry.polyhedron.base.Polyhedron_base method)
faces_lp() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
facet_adjacency_matrix() (sage.geometry.polyhedron.base.Polyhedron_base method)
facet_constant() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
facet_constants() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
facet_normal() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
facet_normals() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
(sage.geometry.lattice_polytope.LatticePolytopeClass method)
facet_of() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
(sage.geometry.lattice_polytope.LatticePolytopeClass method)
facets() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
(sage.geometry.lattice_polytope.LatticePolytopeClass method)
(sage.rings.polynomial.groebner_fan.PolyhedralCone method)
facets_lp() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
factor() (sage.geometry.fan_morphism.FanMorphism method)
Fan() (in module sage.geometry.fan)
fan() (sage.geometry.triangulation.element.Triangulation method)
Fan2d() (in module sage.geometry.fan)
fan_2d_cyclically_ordered_rays() (in module sage.geometry.fan_isomorphism)
fan_2d_echelon_form() (in module sage.geometry.fan_isomorphism)
fan_2d_echelon_forms() (in module sage.geometry.fan_isomorphism)
fan_isomorphic_necessary_conditions() (in module sage.geometry.fan_isomorphism)
fan_isomorphism_generator() (in module sage.geometry.fan_isomorphism)
FanMorphism (class in sage.geometry.fan_morphism)
FanNotIsomorphicError
felsner_matrix() (sage.geometry.pseudolines.PseudolineArrangement method)
fibration_generator() (sage.geometry.polyhedron.base_ZZ.Polyhedron_ZZ method)
(sage.geometry.polyhedron.ppl_lattice_polytope.LatticePolytope_PPL_class method)
find_isomorphism() (in module sage.geometry.fan_isomorphism)
(sage.geometry.polyhedron.ppl_lattice_polygon.LatticePolygon_PPL_class method)
find_translation() (sage.geometry.polyhedron.base_ZZ.Polyhedron_ZZ method)
first_coordinate_plane() (sage.geometry.polyhedron.double_description.DoubleDescriptionPair method)
flow_polytope() (sage.geometry.polyhedron.library.Polytopes static method)
G
G_semiorder() (sage.geometry.hyperplane_arrangement.library.HyperplaneArrangementLibrary method)
G_Shi() (sage.geometry.hyperplane_arrangement.library.HyperplaneArrangementLibrary method)
Gale_transform() (sage.geometry.fan.RationalPolyhedralFan method)
gale_transform() (sage.geometry.polyhedron.base.Polyhedron_base method)
generating_cone() (sage.geometry.fan.RationalPolyhedralFan method)
generating_cones() (sage.geometry.fan.RationalPolyhedralFan method)
gens() (sage.geometry.toric_lattice.ToricLattice_quotient method)
get_integral_point() (sage.geometry.polyhedron.base.Polyhedron_base method)
gfan() (sage.rings.polynomial.groebner_fan.GroebnerFan method)
gkz_phi() (sage.geometry.triangulation.element.Triangulation method)
Gosset_3_21() (sage.geometry.polyhedron.library.Polytopes method)
grand_antiprism() (sage.geometry.polyhedron.library.Polytopes method)
graph() (sage.geometry.polyhedron.base.Polyhedron_base method)
graphical() (sage.geometry.hyperplane_arrangement.library.HyperplaneArrangementLibrary method)
great_rhombicuboctahedron() (sage.geometry.polyhedron.library.Polytopes method)
groebner_cone() (sage.rings.polynomial.groebner_fan.ReducedGroebnerBasis method)
GroebnerFan (class in sage.rings.polynomial.groebner_fan)
H
has_good_reduction() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
has_IP_property() (sage.geometry.polyhedron.base_ZZ.Polyhedron_ZZ method)
(sage.geometry.polyhedron.ppl_lattice_polytope.LatticePolytope_PPL_class method)
Hilbert_basis() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
Hilbert_coefficients() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
hodge_numbers() (sage.geometry.lattice_polytope.NefPartition method)
homogeneity_space() (sage.rings.polynomial.groebner_fan.GroebnerFan method)
homogeneous_vector() (sage.geometry.polyhedron.representation.Line method)
(sage.geometry.polyhedron.representation.Ray method)
(sage.geometry.polyhedron.representation.Vertex method)
Hrep2Vrep (class in sage.geometry.polyhedron.double_description_inhomogeneous)
Hrep_generator() (sage.geometry.polyhedron.base.Polyhedron_base method)
Hrepresentation (class in sage.geometry.polyhedron.representation)
Hrepresentation() (sage.geometry.polyhedron.base.Polyhedron_base method)
Hrepresentation_space() (sage.geometry.polyhedron.base.Polyhedron_base method)
Hrepresentation_str() (sage.geometry.polyhedron.base.Polyhedron_base method)
hypercube() (sage.geometry.polyhedron.library.Polytopes method)
Hyperplane (class in sage.geometry.hyperplane_arrangement.hyperplane)
hyperplane_arrangement() (sage.geometry.polyhedron.base.Polyhedron_base method)
HyperplaneArrangementElement (class in sage.geometry.hyperplane_arrangement.arrangement)
HyperplaneArrangementLibrary (class in sage.geometry.hyperplane_arrangement.library)
HyperplaneArrangements (in module sage.geometry.hyperplane_arrangement.arrangement)
hyperplanes() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
hypersimplex() (sage.geometry.polyhedron.library.Polytopes method)
I
icosahedron() (sage.geometry.polyhedron.library.Polytopes method)
icosidodecahedron() (sage.geometry.polyhedron.library.Polytopes method)
icosidodecahedron_V2() (sage.geometry.polyhedron.library.Polytopes method)
ideal() (sage.rings.polynomial.groebner_fan.GroebnerFan method)
(sage.rings.polynomial.groebner_fan.ReducedGroebnerBasis method)
ideal_to_gfan_format() (in module sage.rings.polynomial.groebner_fan)
identity() (sage.geometry.polyhedron.plot.Projection method)
image_cone() (sage.geometry.fan_morphism.FanMorphism method)
incidence_matrix() (sage.geometry.polyhedron.base.Polyhedron_base method)
incident() (sage.geometry.polyhedron.representation.Hrepresentation method)
(sage.geometry.polyhedron.representation.Vrepresentation method)
include_points() (sage.geometry.toric_plotter.ToricPlotter method)
index() (sage.geometry.fan_morphism.FanMorphism method)
(sage.geometry.lattice_polytope.LatticePolytopeClass method)
(sage.geometry.point_collection.PointCollection method)
(sage.geometry.polyhedron.representation.PolyhedronRepresentation method)
(sage.geometry.triangulation.base.Point method)
inequalities() (sage.geometry.polyhedron.base.Polyhedron_base method)
inequalities_list() (sage.geometry.polyhedron.base.Polyhedron_base method)
Inequality (class in sage.geometry.polyhedron.representation)
inequality_generator() (sage.geometry.polyhedron.base.Polyhedron_base method)
Inequality_generic (class in sage.geometry.integral_points)
Inequality_int (class in sage.geometry.integral_points)
InequalityCollection (class in sage.geometry.integral_points)
initial_form_systems() (sage.rings.polynomial.groebner_fan.TropicalPrevariety method)
initial_forms() (sage.rings.polynomial.groebner_fan.InitialForm method)
initial_pair() (sage.geometry.polyhedron.double_description.Problem method)
InitialForm (class in sage.rings.polynomial.groebner_fan)
inner_product_matrix() (sage.geometry.polyhedron.double_description.DoubleDescriptionPair method)
int_to_simplex() (sage.geometry.triangulation.base.PointConfiguration_base method)
integral_hull() (sage.geometry.polyhedron.backend_normaliz.Polyhedron_normaliz method)
integral_length() (in module sage.geometry.cone)
integral_points() (sage.geometry.polyhedron.backend_normaliz.Polyhedron_normaliz method)
(sage.geometry.polyhedron.base.Polyhedron_base method)
(sage.geometry.polyhedron.ppl_lattice_polytope.LatticePolytope_PPL_class method)
integral_points_count() (sage.geometry.polyhedron.base.Polyhedron_base method)
(sage.geometry.polyhedron.base_QQ.Polyhedron_QQ method)
integral_points_not_interior_to_facets() (sage.geometry.polyhedron.ppl_lattice_polytope.LatticePolytope_PPL_class method)
IntegralRayCollection (class in sage.geometry.cone)
integrate() (sage.geometry.polyhedron.base.Polyhedron_base method)
interactive() (sage.rings.polynomial.groebner_fan.GroebnerFan method)
(sage.rings.polynomial.groebner_fan.ReducedGroebnerBasis method)
interior_contains() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
(sage.geometry.polyhedron.base.Polyhedron_base method)
(sage.geometry.polyhedron.representation.Equation method)
(sage.geometry.polyhedron.representation.Inequality method)
interior_facets() (sage.geometry.triangulation.element.Triangulation method)
interior_point_indices() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
interior_points() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
internal_ray() (sage.rings.polynomial.groebner_fan.InitialForm method)
intersection() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
(sage.geometry.hyperplane_arrangement.affine_subspace.AffineSubspace method)
(sage.geometry.hyperplane_arrangement.hyperplane.Hyperplane method)
(sage.geometry.polyhedron.base.Polyhedron_base method)
(sage.geometry.toric_lattice.ToricLattice_generic method)
intersection_poset() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
is_affine() (sage.geometry.triangulation.base.PointConfiguration_base method)
is_birational() (sage.geometry.fan_morphism.FanMorphism method)
is_bounded() (sage.geometry.polyhedron.ppl_lattice_polytope.LatticePolytope_PPL_class method)
is_bundle() (sage.geometry.fan_morphism.FanMorphism method)
is_central() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
is_combinatorially_isomorphic() (sage.geometry.polyhedron.base.Polyhedron_base method)
is_compact() (sage.geometry.polyhedron.base.Polyhedron_base method)
is_complete() (sage.geometry.fan.RationalPolyhedralFan method)
is_Cone() (in module sage.geometry.cone)
is_dominant() (sage.geometry.fan_morphism.FanMorphism method)
is_empty() (sage.geometry.polyhedron.base.Polyhedron_base method)
is_equation() (sage.geometry.polyhedron.representation.Equation method)
(sage.geometry.polyhedron.representation.Hrepresentation method)
is_equivalent() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
(sage.geometry.fan.RationalPolyhedralFan method)
is_essential() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
is_extremal() (sage.geometry.polyhedron.double_description.DoubleDescriptionPair method)
is_face_of() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
is_Fan() (in module sage.geometry.fan)
is_fibration() (sage.geometry.fan_morphism.FanMorphism method)
is_formal() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
is_free() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
is_full_dimensional() (sage.geometry.polyhedron.base.Polyhedron_base method)
(sage.geometry.polyhedron.ppl_lattice_polytope.LatticePolytope_PPL_class method)
is_full_space() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
is_H() (sage.geometry.polyhedron.representation.Hrepresentation method)
is_incident() (sage.geometry.polyhedron.representation.Hrepresentation method)
(sage.geometry.polyhedron.representation.Vrepresentation method)
is_inequality() (sage.geometry.polyhedron.representation.Hrepresentation method)
(sage.geometry.polyhedron.representation.Inequality method)
is_injective() (sage.geometry.fan_morphism.FanMorphism method)
is_inscribed() (sage.geometry.polyhedron.base.Polyhedron_base method)
is_integral() (sage.geometry.polyhedron.representation.Vertex method)
is_isomorphic() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
(sage.geometry.fan.RationalPolyhedralFan method)
(sage.geometry.polyhedron.ppl_lattice_polygon.LatticePolygon_PPL_class method)
is_lattice_polytope() (sage.geometry.polyhedron.base.Polyhedron_base method)
(sage.geometry.polyhedron.base_ZZ.Polyhedron_ZZ method)
is_LatticePolytope() (in module sage.geometry.lattice_polytope)
is_line() (sage.geometry.polyhedron.representation.Line method)
(sage.geometry.polyhedron.representation.Vrepresentation method)
is_linear() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
is_Minkowski_summand() (sage.geometry.polyhedron.base.Polyhedron_base method)
is_minkowski_summand() (sage.geometry.polyhedron.base.Polyhedron_base method)
is_NefPartition() (in module sage.geometry.lattice_polytope)
is_neighborly() (sage.geometry.polyhedron.base.Polyhedron_base method)
is_PointCollection() (in module sage.geometry.point_collection)
is_Polyhedron() (in module sage.geometry.polyhedron.base)
is_proper() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
is_ray() (sage.geometry.polyhedron.representation.Ray method)
(sage.geometry.polyhedron.representation.Vrepresentation method)
is_reflexive() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
(sage.geometry.polyhedron.base_ZZ.Polyhedron_ZZ method)
is_separating_hyperplane() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
is_simple() (sage.geometry.polyhedron.base.Polyhedron_base method)
is_simplex() (sage.geometry.polyhedron.base.Polyhedron_base method)
(sage.geometry.polyhedron.ppl_lattice_polytope.LatticePolytope_PPL_class method)
is_simplicial() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
(sage.geometry.fan.RationalPolyhedralFan method)
(sage.geometry.polyhedron.base.Polyhedron_base method)
(sage.rings.polynomial.groebner_fan.PolyhedralFan method)
is_smooth() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
(sage.geometry.fan.RationalPolyhedralFan method)
is_solid() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
is_strictly_convex() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
is_surjective() (sage.geometry.fan_morphism.FanMorphism method)
is_ToricLattice() (in module sage.geometry.toric_lattice)
is_ToricLatticeQuotient() (in module sage.geometry.toric_lattice)
is_torsion_free() (sage.geometry.toric_lattice.ToricLattice_quotient method)
is_trivial() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
is_universe() (sage.geometry.polyhedron.base.Polyhedron_base method)
is_V() (sage.geometry.polyhedron.representation.Vrepresentation method)
is_vertex() (sage.geometry.polyhedron.representation.Vertex method)
(sage.geometry.polyhedron.representation.Vrepresentation method)
Ish() (sage.geometry.hyperplane_arrangement.library.HyperplaneArrangementLibrary method)
isomorphism() (sage.geometry.fan.RationalPolyhedralFan method)
J
join() (sage.geometry.polyhedron.base.Polyhedron_base method)
K
kernel_fan() (sage.geometry.fan_morphism.FanMorphism method)
Kirkman_icosahedron() (sage.geometry.polyhedron.library.Polytopes method)
L
label_list() (in module sage.geometry.toric_plotter)
last_slope() (sage.geometry.newton_polygon.NewtonPolygon_element method)
lattice() (sage.geometry.cone.IntegralRayCollection method)
(sage.geometry.lattice_polytope.LatticePolytopeClass method)
lattice_automorphism_group() (sage.geometry.polyhedron.ppl_lattice_polytope.LatticePolytope_PPL_class method)
lattice_dim() (sage.geometry.cone.IntegralRayCollection method)
(sage.geometry.lattice_polytope.LatticePolytopeClass method)
lattice_from_incidences() (in module sage.geometry.hasse_diagram)
lattice_polytope() (sage.geometry.polyhedron.base.Polyhedron_base method)
LatticeEuclideanGroupElement (class in sage.geometry.polyhedron.lattice_euclidean_group_element)
LatticePolygon_PPL_class (class in sage.geometry.polyhedron.ppl_lattice_polygon)
LatticePolytope() (in module sage.geometry.lattice_polytope)
LatticePolytope_PPL() (in module sage.geometry.polyhedron.ppl_lattice_polytope)
LatticePolytope_PPL_class (class in sage.geometry.polyhedron.ppl_lattice_polytope)
LatticePolytopeClass (class in sage.geometry.lattice_polytope)
LatticePolytopeError
LatticePolytopeNoEmbeddingError
LatticePolytopesNotIsomorphicError
legend_3d() (in module sage.geometry.hyperplane_arrangement.plot)
less_generators() (in module sage.geometry.hyperplane_arrangement.check_freeness)
Line (class in sage.geometry.polyhedron.representation)
line_generator() (sage.geometry.polyhedron.base.Polyhedron_base method)
(sage.geometry.polyhedron.face.PolyhedronFace method)
lineality() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
lineality_dim() (sage.rings.polynomial.groebner_fan.PolyhedralCone method)
(sage.rings.polynomial.groebner_fan.PolyhedralFan method)
linear_equivalence_ideal() (sage.geometry.fan.RationalPolyhedralFan method)
linear_part() (sage.geometry.hyperplane_arrangement.affine_subspace.AffineSubspace method)
(sage.geometry.hyperplane_arrangement.hyperplane.Hyperplane method)
linear_part_projection() (sage.geometry.hyperplane_arrangement.hyperplane.Hyperplane method)
linear_subspace() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
LinearExpression (class in sage.geometry.linear_expression)
LinearExpressionModule (in module sage.geometry.linear_expression)
linearly_independent_vertices() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
lines() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
(sage.geometry.polyhedron.base.Polyhedron_base method)
(sage.geometry.polyhedron.face.PolyhedronFace method)
lines_list() (sage.geometry.polyhedron.base.Polyhedron_base method)
linial() (sage.geometry.hyperplane_arrangement.library.HyperplaneArrangementLibrary method)
loop_over_parallelotope_points() (in module sage.geometry.integral_points)
lyapunov_like_basis() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
lyapunov_rank() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
M
make_parent() (in module sage.geometry.hyperplane_arrangement.library)
make_ribbon() (in module sage.geometry.ribbon_graph)
make_simplicial() (sage.geometry.fan.RationalPolyhedralFan method)
matrix() (sage.geometry.point_collection.PointCollection method)
matrix_space() (sage.geometry.polyhedron.double_description.DoubleDescriptionPair method)
matroid() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
max_degree() (in module sage.rings.polynomial.groebner_fan)
maximal_cones() (sage.rings.polynomial.groebner_fan.PolyhedralFan method)
maximal_total_degree_of_a_groebner_basis() (sage.rings.polynomial.groebner_fan.GroebnerFan method)
minimal_generated_number() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
minimal_total_degree_of_a_groebner_basis() (sage.rings.polynomial.groebner_fan.GroebnerFan method)
Minkowski_decompositions() (sage.geometry.polyhedron.base_ZZ.Polyhedron_ZZ method)
minkowski_decompositions() (sage.geometry.polyhedron.base_ZZ.Polyhedron_ZZ method)
Minkowski_difference() (sage.geometry.polyhedron.base.Polyhedron_base method)
minkowski_difference() (sage.geometry.polyhedron.base.Polyhedron_base method)
minkowski_sum() (in module sage.geometry.lattice_polytope)
Minkowski_sum() (sage.geometry.polyhedron.base.Polyhedron_base method)
minkowski_sum() (sage.geometry.polyhedron.base.Polyhedron_base method)
mixed_volume() (sage.rings.polynomial.groebner_fan.GroebnerFan method)
module() (sage.geometry.point_collection.PointCollection method)
monomial_coefficients() (sage.geometry.linear_expression.LinearExpression method)
N
n_ambient_Hrepresentation() (sage.geometry.polyhedron.face.PolyhedronFace method)
n_ambient_Vrepresentation() (sage.geometry.polyhedron.face.PolyhedronFace method)
n_bounded_regions() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
n_equations() (sage.geometry.polyhedron.base.Polyhedron_base method)
n_facets() (sage.geometry.polyhedron.base.Polyhedron_base method)
n_Hrepresentation() (sage.geometry.polyhedron.base.Polyhedron_base method)
n_hyperplanes() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
n_inequalities() (sage.geometry.polyhedron.base.Polyhedron_base method)
n_integral_points() (sage.geometry.polyhedron.ppl_lattice_polytope.LatticePolytope_PPL_class method)
n_lines() (sage.geometry.polyhedron.base.Polyhedron_base method)
n_points() (sage.geometry.triangulation.base.PointConfiguration_base method)
n_rays() (sage.geometry.polyhedron.base.Polyhedron_base method)
n_regions() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
n_vertices() (sage.geometry.polyhedron.base.Polyhedron_base method)
(sage.geometry.polyhedron.ppl_lattice_polytope.LatticePolytope_PPL_class method)
n_Vrepresentation() (sage.geometry.polyhedron.base.Polyhedron_base method)
nabla() (sage.geometry.lattice_polytope.NefPartition method)
nabla_polar() (sage.geometry.lattice_polytope.NefPartition method)
nablas() (sage.geometry.lattice_polytope.NefPartition method)
nef_partitions() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
nef_x() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
NefPartition (class in sage.geometry.lattice_polytope)
neighborliness() (sage.geometry.polyhedron.base.Polyhedron_base method)
neighbors() (sage.geometry.polyhedron.representation.Hrepresentation method)
(sage.geometry.polyhedron.representation.Vrepresentation method)
NewtonPolygon_element (class in sage.geometry.newton_polygon)
nfacets() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
ngenerating_cones() (sage.geometry.fan.RationalPolyhedralFan method)
normal() (sage.geometry.hyperplane_arrangement.hyperplane.Hyperplane method)
normal_cone() (sage.geometry.triangulation.element.Triangulation method)
normal_fan() (sage.geometry.polyhedron.base.Polyhedron_base method)
normal_form() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
NormalFan() (in module sage.geometry.fan)
normalize_rays() (in module sage.geometry.cone)
nparts() (sage.geometry.lattice_polytope.NefPartition method)
npoints() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
nrays() (sage.geometry.cone.IntegralRayCollection method)
number_of_reduced_groebner_bases() (sage.rings.polynomial.groebner_fan.GroebnerFan method)
number_of_variables() (sage.rings.polynomial.groebner_fan.GroebnerFan method)
nvertices() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
O
octahedron() (sage.geometry.polyhedron.library.Polytopes method)
one_point_suspension() (sage.geometry.polyhedron.base.Polyhedron_base method)
options() (in module sage.geometry.toric_plotter)
ordered_vertices() (sage.geometry.polyhedron.ppl_lattice_polygon.LatticePolygon_PPL_class method)
oriented_boundary() (sage.geometry.fan.RationalPolyhedralFan method)
origin() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
orlik_solomon_algebra() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
orthogonal_projection() (sage.geometry.hyperplane_arrangement.hyperplane.Hyperplane method)
orthogonal_sublattice() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
output_format() (sage.geometry.point_collection.PointCollection static method)
P
pair_class (sage.geometry.polyhedron.double_description.Problem attribute)
(sage.geometry.polyhedron.double_description.StandardAlgorithm attribute)
PALPreader (class in sage.geometry.polyhedron.palp_database)
parallelotope() (sage.geometry.polyhedron.library.Polytopes method)
parallelotope_points() (in module sage.geometry.integral_points)
parent() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
ParentNewtonPolygon (in module sage.geometry.newton_polygon)
part() (sage.geometry.lattice_polytope.NefPartition method)
part_of() (sage.geometry.lattice_polytope.NefPartition method)
part_of_point() (sage.geometry.lattice_polytope.NefPartition method)
parts() (sage.geometry.lattice_polytope.NefPartition method)
pentakis_dodecahedron() (sage.geometry.polyhedron.library.Polytopes method)
permutahedron() (sage.geometry.polyhedron.library.Polytopes method)
permutations() (sage.geometry.pseudolines.PseudolineArrangement method)
PivotedInequalities (class in sage.geometry.polyhedron.double_description_inhomogeneous)
plot() (in module sage.geometry.hyperplane_arrangement.plot)
(sage.geometry.cone.ConvexRationalPolyhedralCone method)
(sage.geometry.cone.IntegralRayCollection method)
(sage.geometry.fan.RationalPolyhedralFan method)
(sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
(sage.geometry.hyperplane_arrangement.hyperplane.Hyperplane method)
(sage.geometry.newton_polygon.NewtonPolygon_element method)
(sage.geometry.polyhedron.base.Polyhedron_base method)
(sage.geometry.polyhedron.ppl_lattice_polygon.LatticePolygon_PPL_class method)
(sage.geometry.toric_lattice.ToricLattice_ambient method)
(sage.geometry.toric_lattice.ToricLattice_sublattice_with_basis method)
(sage.geometry.triangulation.element.Triangulation method)
(sage.geometry.voronoi_diagram.VoronoiDiagram method)
plot3d() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
plot_generators() (sage.geometry.toric_plotter.ToricPlotter method)
plot_hyperplane() (in module sage.geometry.hyperplane_arrangement.plot)
plot_labels() (sage.geometry.toric_plotter.ToricPlotter method)
plot_lattice() (sage.geometry.toric_plotter.ToricPlotter method)
plot_points() (sage.geometry.toric_plotter.ToricPlotter method)
plot_ray_labels() (sage.geometry.toric_plotter.ToricPlotter method)
plot_rays() (sage.geometry.toric_plotter.ToricPlotter method)
plot_walls() (sage.geometry.toric_plotter.ToricPlotter method)
poincare_polynomial() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
Point (class in sage.geometry.triangulation.base)
point() (sage.geometry.hyperplane_arrangement.affine_subspace.AffineSubspace method)
(sage.geometry.hyperplane_arrangement.hyperplane.Hyperplane method)
(sage.geometry.lattice_polytope.LatticePolytopeClass method)
(sage.geometry.triangulation.base.PointConfiguration_base method)
point_configuration() (sage.geometry.triangulation.base.Point method)
(sage.geometry.triangulation.element.Triangulation method)
PointCollection (class in sage.geometry.point_collection)
PointConfiguration (in module sage.geometry.triangulation.point_configuration)
PointConfiguration_base (class in sage.geometry.triangulation.base)
points() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
(sage.geometry.triangulation.base.PointConfiguration_base method)
(sage.geometry.voronoi_diagram.VoronoiDiagram method)
pointsets_mod_automorphism() (sage.geometry.polyhedron.ppl_lattice_polytope.LatticePolytope_PPL_class method)
polar() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
(sage.geometry.polyhedron.base.Polyhedron_base method)
(sage.geometry.polyhedron.base_ZZ.Polyhedron_ZZ method)
polar_P1xP1_polytope() (in module sage.geometry.polyhedron.ppl_lattice_polygon)
polar_P2_112_polytope() (in module sage.geometry.polyhedron.ppl_lattice_polygon)
polar_P2_polytope() (in module sage.geometry.polyhedron.ppl_lattice_polygon)
poly_x() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
Polyhedra() (in module sage.geometry.polyhedron.parent)
Polyhedra_base (in module sage.geometry.polyhedron.parent)
Polyhedra_field (class in sage.geometry.polyhedron.parent)
Polyhedra_polymake (class in sage.geometry.polyhedron.parent)
Polyhedra_QQ_cdd (class in sage.geometry.polyhedron.parent)
Polyhedra_QQ_normaliz (class in sage.geometry.polyhedron.parent)
Polyhedra_QQ_ppl (class in sage.geometry.polyhedron.parent)
Polyhedra_RDF_cdd (class in sage.geometry.polyhedron.parent)
Polyhedra_ZZ_normaliz (class in sage.geometry.polyhedron.parent)
Polyhedra_ZZ_ppl (class in sage.geometry.polyhedron.parent)
PolyhedralCone (class in sage.rings.polynomial.groebner_fan)
PolyhedralFan (class in sage.rings.polynomial.groebner_fan)
polyhedralfan() (sage.rings.polynomial.groebner_fan.GroebnerFan method)
Polyhedron() (in module sage.geometry.polyhedron.constructor)
polyhedron() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
(sage.geometry.hyperplane_arrangement.hyperplane.Hyperplane method)
(sage.geometry.lattice_polytope.LatticePolytopeClass method)
(sage.geometry.polyhedron.face.PolyhedronFace method)
(sage.geometry.polyhedron.representation.PolyhedronRepresentation method)
Polyhedron_base (class in sage.geometry.polyhedron.base)
Polyhedron_cdd (class in sage.geometry.polyhedron.backend_cdd)
Polyhedron_field (class in sage.geometry.polyhedron.backend_field)
Polyhedron_normaliz (class in sage.geometry.polyhedron.backend_normaliz)
Polyhedron_polymake (class in sage.geometry.polyhedron.backend_polymake)
Polyhedron_ppl (class in sage.geometry.polyhedron.backend_ppl)
Polyhedron_QQ (class in sage.geometry.polyhedron.base_QQ)
Polyhedron_QQ_cdd (class in sage.geometry.polyhedron.backend_cdd)
Polyhedron_QQ_normaliz (class in sage.geometry.polyhedron.backend_normaliz)
Polyhedron_QQ_polymake (class in sage.geometry.polyhedron.backend_polymake)
Polyhedron_QQ_ppl (class in sage.geometry.polyhedron.backend_ppl)
Polyhedron_RDF (class in sage.geometry.polyhedron.base_RDF)
Polyhedron_RDF_cdd (class in sage.geometry.polyhedron.backend_cdd)
Polyhedron_ZZ (class in sage.geometry.polyhedron.base_ZZ)
Polyhedron_ZZ_normaliz (class in sage.geometry.polyhedron.backend_normaliz)
Polyhedron_ZZ_polymake (class in sage.geometry.polyhedron.backend_polymake)
Polyhedron_ZZ_ppl (class in sage.geometry.polyhedron.backend_ppl)
PolyhedronFace (class in sage.geometry.polyhedron.face)
PolyhedronRepresentation (class in sage.geometry.polyhedron.representation)
Polytopes (class in sage.geometry.polyhedron.library)
positive_integer_relations() (in module sage.geometry.lattice_polytope)
positive_operators_gens() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
prefix_check() (in module sage.rings.polynomial.groebner_fan)
preimage_cones() (sage.geometry.fan_morphism.FanMorphism method)
preimage_fan() (sage.geometry.fan_morphism.FanMorphism method)
prepare_inner_loop() (sage.geometry.integral_points.InequalityCollection method)
prepare_next_to_inner_loop() (sage.geometry.integral_points.InequalityCollection method)
primitive() (sage.geometry.hyperplane_arrangement.hyperplane.Hyperplane method)
primitive_collections() (sage.geometry.fan.RationalPolyhedralFan method)
primitive_preimage_cones() (sage.geometry.fan_morphism.FanMorphism method)
print_cache() (in module sage.geometry.integral_points)
prism() (sage.geometry.polyhedron.base.Polyhedron_base method)
Problem (class in sage.geometry.polyhedron.double_description)
product() (sage.geometry.polyhedron.base.Polyhedron_base method)
project_points() (in module sage.geometry.polyhedron.library)
Projection (class in sage.geometry.polyhedron.plot)
projection() (sage.geometry.polyhedron.base.Polyhedron_base method)
projection_func_identity() (in module sage.geometry.polyhedron.plot)
ProjectionFuncSchlegel (class in sage.geometry.polyhedron.plot)
ProjectionFuncStereographic (class in sage.geometry.polyhedron.plot)
projective() (sage.geometry.triangulation.base.Point method)
PseudolineArrangement (class in sage.geometry.pseudolines)
pyramid() (sage.geometry.polyhedron.base.Polyhedron_base method)
Q
quotient() (sage.geometry.toric_lattice.ToricLattice_generic method)
R
R_by_sign() (sage.geometry.polyhedron.double_description.DoubleDescriptionPair method)
radius() (sage.geometry.polyhedron.base.Polyhedron_base method)
radius_square() (sage.geometry.polyhedron.base.Polyhedron_base method)
random_cone() (in module sage.geometry.cone)
random_element() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
random_inequalities() (in module sage.geometry.polyhedron.double_description)
random_integral_point() (sage.geometry.polyhedron.base.Polyhedron_base method)
rank() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
(sage.geometry.toric_lattice.ToricLattice_quotient method)
RationalPolyhedralFan (class in sage.geometry.fan)
Ray (class in sage.geometry.polyhedron.representation)
ray() (sage.geometry.cone.IntegralRayCollection method)
ray_generator() (sage.geometry.polyhedron.base.Polyhedron_base method)
(sage.geometry.polyhedron.face.PolyhedronFace method)
ray_matrix_normal_form() (in module sage.geometry.integral_points)
rays() (sage.geometry.cone.IntegralRayCollection method)
(sage.geometry.polyhedron.base.Polyhedron_base method)
(sage.geometry.polyhedron.face.PolyhedronFace method)
(sage.rings.polynomial.groebner_fan.InitialForm method)
(sage.rings.polynomial.groebner_fan.PolyhedralFan method)
rays_list() (sage.geometry.polyhedron.base.Polyhedron_base method)
read_all_polytopes() (in module sage.geometry.lattice_polytope)
read_palp_matrix() (in module sage.geometry.lattice_polytope)
read_palp_point_collection() (in module sage.geometry.point_collection)
rectangular_box_points() (in module sage.geometry.integral_points)
reduced_affine() (sage.geometry.triangulation.base.Point method)
reduced_affine_vector() (sage.geometry.triangulation.base.Point method)
reduced_affine_vector_space() (sage.geometry.triangulation.base.PointConfiguration_base method)
reduced_groebner_bases() (sage.rings.polynomial.groebner_fan.GroebnerFan method)
reduced_projective() (sage.geometry.triangulation.base.Point method)
reduced_projective_vector() (sage.geometry.triangulation.base.Point method)
reduced_projective_vector_space() (sage.geometry.triangulation.base.PointConfiguration_base method)
ReducedGroebnerBasis (class in sage.rings.polynomial.groebner_fan)
Reflexive4dHodge (class in sage.geometry.polyhedron.palp_database)
ReflexivePolytope() (in module sage.geometry.lattice_polytope)
ReflexivePolytopes() (in module sage.geometry.lattice_polytope)
region_containing_point() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
regions() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
(sage.geometry.voronoi_diagram.VoronoiDiagram method)
regular_polygon() (sage.geometry.polyhedron.library.Polytopes method)
relative_interior_contains() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
(sage.geometry.polyhedron.base.Polyhedron_base method)
relative_interior_point() (sage.rings.polynomial.groebner_fan.PolyhedralCone method)
relative_orthogonal_quotient() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
relative_quotient() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
relative_star_generators() (sage.geometry.fan_morphism.FanMorphism method)
render() (sage.rings.polynomial.groebner_fan.GroebnerFan method)
render3d() (sage.rings.polynomial.groebner_fan.GroebnerFan method)
render_0d() (sage.geometry.polyhedron.plot.Projection method)
render_1d() (sage.geometry.polyhedron.plot.Projection method)
render_2d() (sage.geometry.polyhedron.plot.Projection method)
render_3d() (sage.geometry.polyhedron.plot.Projection method)
render_fill_2d() (sage.geometry.polyhedron.plot.Projection method)
render_line_1d() (sage.geometry.polyhedron.plot.Projection method)
render_outline_2d() (sage.geometry.polyhedron.plot.Projection method)
render_points_1d() (sage.geometry.polyhedron.plot.Projection method)
render_points_2d() (sage.geometry.polyhedron.plot.Projection method)
render_solid() (sage.geometry.polyhedron.base.Polyhedron_base method)
render_solid_3d() (sage.geometry.polyhedron.plot.Projection method)
render_vertices_3d() (sage.geometry.polyhedron.plot.Projection method)
render_wireframe() (sage.geometry.polyhedron.base.Polyhedron_base method)
render_wireframe_3d() (sage.geometry.polyhedron.plot.Projection method)
repr_pretty() (in module sage.geometry.polyhedron.representation)
(sage.geometry.polyhedron.representation.Hrepresentation method)
repr_pretty_Hrepresentation() (sage.geometry.polyhedron.base.Polyhedron_base method)
representative_point() (sage.geometry.polyhedron.base.Polyhedron_base method)
reset_options() (in module sage.geometry.toric_plotter)
restricted_automorphism_group() (sage.geometry.polyhedron.base.Polyhedron_base method)
(sage.geometry.polyhedron.ppl_lattice_polytope.LatticePolytope_PPL_class method)
restriction() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
reverse() (sage.geometry.newton_polygon.NewtonPolygon_element method)
rhombic_dodecahedron() (sage.geometry.polyhedron.library.Polytopes method)
rhombicosidodecahedron() (sage.geometry.polyhedron.library.Polytopes method)
RibbonGraph (in module sage.geometry.ribbon_graph)
ring() (sage.rings.polynomial.groebner_fan.GroebnerFan method)
ring_to_gfan_format() (in module sage.rings.polynomial.groebner_fan)
run() (sage.geometry.polyhedron.double_description.StandardAlgorithm method)
S
sage.geometry.cone (module)
sage.geometry.fan (module)
sage.geometry.fan_isomorphism (module)
sage.geometry.fan_morphism (module)
sage.geometry.hasse_diagram (module)
sage.geometry.hyperplane_arrangement.affine_subspace (module)
sage.geometry.hyperplane_arrangement.arrangement (module)
sage.geometry.hyperplane_arrangement.check_freeness (module)
sage.geometry.hyperplane_arrangement.hyperplane (module)
sage.geometry.hyperplane_arrangement.library (module)
sage.geometry.hyperplane_arrangement.plot (module)
sage.geometry.integral_points (module)
sage.geometry.lattice_polytope (module)
sage.geometry.linear_expression (module)
sage.geometry.newton_polygon (module)
sage.geometry.point_collection (module)
sage.geometry.polyhedron.backend_cdd (module)
sage.geometry.polyhedron.backend_field (module)
sage.geometry.polyhedron.backend_normaliz (module)
sage.geometry.polyhedron.backend_polymake (module)
sage.geometry.polyhedron.backend_ppl (module)
sage.geometry.polyhedron.base (module)
sage.geometry.polyhedron.base_QQ (module)
sage.geometry.polyhedron.base_RDF (module)
sage.geometry.polyhedron.base_ZZ (module)
sage.geometry.polyhedron.cdd_file_format (module)
sage.geometry.polyhedron.constructor (module)
sage.geometry.polyhedron.double_description (module)
sage.geometry.polyhedron.double_description_inhomogeneous (module)
sage.geometry.polyhedron.face (module)
sage.geometry.polyhedron.lattice_euclidean_group_element (module)
sage.geometry.polyhedron.library (module)
sage.geometry.polyhedron.palp_database (module)
sage.geometry.polyhedron.parent (module)
sage.geometry.polyhedron.plot (module)
sage.geometry.polyhedron.ppl_lattice_polygon (module)
sage.geometry.polyhedron.ppl_lattice_polytope (module)
sage.geometry.polyhedron.representation (module)
sage.geometry.pseudolines (module)
sage.geometry.ribbon_graph (module)
sage.geometry.toric_lattice (module)
sage.geometry.toric_plotter (module)
sage.geometry.triangulation.base (module)
sage.geometry.triangulation.element (module)
sage.geometry.triangulation.point_configuration (module)
sage.geometry.voronoi_diagram (module)
sage.rings.polynomial.groebner_fan (module)
satisfied_as_equalities() (sage.geometry.integral_points.InequalityCollection method)
saturation() (sage.geometry.toric_lattice.ToricLattice_generic method)
schlegel() (sage.geometry.polyhedron.plot.Projection method)
schlegel_projection() (sage.geometry.polyhedron.base.Polyhedron_base method)
sector() (in module sage.geometry.toric_plotter)
semigroup_generators() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
semiorder() (sage.geometry.hyperplane_arrangement.library.HyperplaneArrangementLibrary method)
set() (sage.geometry.point_collection.PointCollection method)
set_immutable() (sage.geometry.toric_lattice.ToricLattice_quotient_element method)
set_palp_dimension() (in module sage.geometry.lattice_polytope)
set_rays() (sage.geometry.toric_plotter.ToricPlotter method)
SetOfAllLatticePolytopesClass (class in sage.geometry.lattice_polytope)
Shi() (sage.geometry.hyperplane_arrangement.library.HyperplaneArrangementLibrary method)
show() (sage.geometry.polyhedron.base.Polyhedron_base method)
(sage.geometry.pseudolines.PseudolineArrangement method)
show3d() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
sign_vector() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
simplex() (sage.geometry.polyhedron.library.Polytopes method)
simplex_points() (in module sage.geometry.integral_points)
simplex_to_int() (sage.geometry.triangulation.base.PointConfiguration_base method)
simplicial_complex() (sage.geometry.triangulation.element.Triangulation method)
six_hundred_cell() (sage.geometry.polyhedron.library.Polytopes method)
skeleton() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
skeleton_points() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
skeleton_show() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
skip_palp_matrix() (in module sage.geometry.lattice_polytope)
slopes() (sage.geometry.newton_polygon.NewtonPolygon_element method)
small_rhombicuboctahedron() (sage.geometry.polyhedron.library.Polytopes method)
snub_cube() (sage.geometry.polyhedron.library.Polytopes method)
snub_dodecahedron() (sage.geometry.polyhedron.library.Polytopes method)
solid_restriction() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
span() (sage.geometry.cone.IntegralRayCollection method)
(sage.geometry.toric_lattice.ToricLattice_generic method)
span_of_basis() (sage.geometry.toric_lattice.ToricLattice_generic method)
stack() (sage.geometry.polyhedron.base.Polyhedron_base method)
StandardAlgorithm (class in sage.geometry.polyhedron.double_description)
StandardDoubleDescriptionPair (class in sage.geometry.polyhedron.double_description)
Stanley_Reisner_ideal() (sage.geometry.fan.RationalPolyhedralFan method)
star_generator_indices() (sage.geometry.fan.Cone_of_fan method)
star_generators() (sage.geometry.fan.Cone_of_fan method)
stereographic() (sage.geometry.polyhedron.plot.Projection method)
strict_quotient() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
sub_polytope_generator() (sage.geometry.polyhedron.ppl_lattice_polytope.LatticePolytope_PPL_class method)
sub_polytopes() (sage.geometry.polyhedron.ppl_lattice_polygon.LatticePolygon_PPL_class method)
sub_reflexive_polygons() (in module sage.geometry.polyhedron.ppl_lattice_polygon)
subdirect_sum() (sage.geometry.polyhedron.base.Polyhedron_base method)
subdivide() (sage.geometry.fan.RationalPolyhedralFan method)
sublattice() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
sublattice_complement() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
sublattice_quotient() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
subpolygons_of_polar_P1xP1() (in module sage.geometry.polyhedron.ppl_lattice_polygon)
subpolygons_of_polar_P2() (in module sage.geometry.polyhedron.ppl_lattice_polygon)
subpolygons_of_polar_P2_112() (in module sage.geometry.polyhedron.ppl_lattice_polygon)
support_contains() (sage.geometry.fan.RationalPolyhedralFan method)
swap_ineq_to_front() (sage.geometry.integral_points.InequalityCollection method)
T
tetrahedron() (sage.geometry.polyhedron.library.Polytopes method)
tikz() (sage.geometry.polyhedron.plot.Projection method)
to_linear_program() (sage.geometry.polyhedron.base.Polyhedron_base method)
to_RationalPolyhedralFan() (sage.rings.polynomial.groebner_fan.PolyhedralFan method)
to_symmetric_space() (sage.geometry.hyperplane_arrangement.hyperplane.Hyperplane method)
toric_variety() (sage.geometry.fan.RationalPolyhedralFan method)
ToricLattice_ambient (class in sage.geometry.toric_lattice)
ToricLattice_generic (class in sage.geometry.toric_lattice)
ToricLattice_quotient (class in sage.geometry.toric_lattice)
ToricLattice_quotient_element (class in sage.geometry.toric_lattice)
ToricLattice_sublattice (class in sage.geometry.toric_lattice)
ToricLattice_sublattice_with_basis (class in sage.geometry.toric_lattice)
ToricLatticeFactory (class in sage.geometry.toric_lattice)
ToricPlotter (class in sage.geometry.toric_plotter)
translation() (sage.geometry.polyhedron.base.Polyhedron_base method)
transpositions() (sage.geometry.pseudolines.PseudolineArrangement method)
traverse_boundary() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
triangulate() (sage.geometry.polyhedron.base.Polyhedron_base method)
Triangulation (class in sage.geometry.triangulation.element)
triangulation_render_2d() (in module sage.geometry.triangulation.element)
triangulation_render_3d() (in module sage.geometry.triangulation.element)
tropical_basis() (sage.rings.polynomial.groebner_fan.GroebnerFan method)
tropical_intersection() (sage.rings.polynomial.groebner_fan.GroebnerFan method)
TropicalPrevariety (class in sage.rings.polynomial.groebner_fan)
truncated_cube() (sage.geometry.polyhedron.library.Polytopes method)
truncated_dodecahedron() (sage.geometry.polyhedron.library.Polytopes method)
truncated_icosidodecahedron() (sage.geometry.polyhedron.library.Polytopes method)
truncated_octahedron() (sage.geometry.polyhedron.library.Polytopes method)
truncated_tetrahedron() (sage.geometry.polyhedron.library.Polytopes method)
truncation() (sage.geometry.polyhedron.base.Polyhedron_base method)
twenty_four_cell() (sage.geometry.polyhedron.library.Polytopes method)
type() (sage.geometry.polyhedron.representation.Equation method)
(sage.geometry.polyhedron.representation.Inequality method)
(sage.geometry.polyhedron.representation.Line method)
(sage.geometry.polyhedron.representation.Ray method)
(sage.geometry.polyhedron.representation.Vertex method)
U
unbounded_regions() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
union() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
V
varchenko_matrix() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
vector() (sage.geometry.polyhedron.representation.PolyhedronRepresentation method)
verify() (sage.geometry.polyhedron.double_description.DoubleDescriptionPair method)
(sage.geometry.polyhedron.double_description_inhomogeneous.Hrep2Vrep method)
(sage.geometry.polyhedron.double_description_inhomogeneous.Vrep2Hrep method)
Vertex (class in sage.geometry.polyhedron.representation)
vertex() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
vertex_adjacency_matrix() (sage.geometry.polyhedron.base.Polyhedron_base method)
vertex_digraph() (sage.geometry.polyhedron.base.Polyhedron_base method)
vertex_facet_graph() (sage.geometry.polyhedron.base.Polyhedron_base method)
vertex_facet_pairing_matrix() (sage.geometry.lattice_polytope.LatticePolytopeClass method)
vertex_generator() (sage.geometry.polyhedron.base.Polyhedron_base method)
(sage.geometry.polyhedron.face.PolyhedronFace method)
vertex_graph() (sage.geometry.fan.RationalPolyhedralFan method)
(sage.geometry.polyhedron.base.Polyhedron_base method)
vertices() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
(sage.geometry.lattice_polytope.LatticePolytopeClass method)
(sage.geometry.newton_polygon.NewtonPolygon_element method)
(sage.geometry.polyhedron.base.Polyhedron_base method)
(sage.geometry.polyhedron.face.PolyhedronFace method)
(sage.geometry.polyhedron.ppl_lattice_polytope.LatticePolytope_PPL_class method)
vertices_list() (sage.geometry.polyhedron.base.Polyhedron_base method)
vertices_matrix() (sage.geometry.polyhedron.base.Polyhedron_base method)
vertices_saturating() (sage.geometry.polyhedron.ppl_lattice_polytope.LatticePolytope_PPL_class method)
verts_for_normal() (in module sage.rings.polynomial.groebner_fan)
virtual_rays() (sage.geometry.fan.RationalPolyhedralFan method)
volume() (sage.geometry.polyhedron.base.Polyhedron_base method)
VoronoiDiagram (class in sage.geometry.voronoi_diagram)
Vrep2Hrep (class in sage.geometry.polyhedron.double_description_inhomogeneous)
Vrep_generator() (sage.geometry.polyhedron.base.Polyhedron_base method)
Vrepresentation (class in sage.geometry.polyhedron.representation)
Vrepresentation() (sage.geometry.polyhedron.base.Polyhedron_base method)
Vrepresentation_space() (sage.geometry.polyhedron.base.Polyhedron_base method)
W
weight_vectors() (sage.rings.polynomial.groebner_fan.GroebnerFan method)
whitney_data() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
whitney_number() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method)
write_cdd_Hrepresentation() (sage.geometry.polyhedron.base.Polyhedron_base method)
write_cdd_Vrepresentation() (sage.geometry.polyhedron.base.Polyhedron_base method)
write_for_palp() (sage.geometry.point_collection.PointCollection method)
write_palp_matrix() (in module sage.geometry.lattice_polytope)
Z
Z_operators_gens() (sage.geometry.cone.ConvexRationalPolyhedralCone method)
zero_set() (sage.geometry.polyhedron.double_description.DoubleDescriptionPair method)
zero_sum_projection() (in module sage.geometry.polyhedron.library)
zonotope() (sage.geometry.polyhedron.library.Polytopes method)
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