Index – P P (sage.geometry.polyhedron.combinatorial_polyhedron.face_iterator.FaceIterator_geom attribute) 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 (class in 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) permutations_to_matrices() (sage.geometry.polyhedron.base.Polyhedron_base method) PivotedInequalities (class in sage.geometry.polyhedron.double_description_inhomogeneous) placing_triangulation() (sage.geometry.triangulation.point_configuration.PointConfiguration method) 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.polyhedral_complex.PolyhedralComplex method) (sage.geometry.polyhedron.base6.Polyhedron_base6 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.triangulation.point_configuration.PointConfiguration 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() (in module sage.geometry.polyhedron.ppl_lattice_polytope) (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 (class in 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.base5.Polyhedron_base5 method) (sage.geometry.polyhedron.base_ZZ.Polyhedron_ZZ method) (sage.geometry.polyhedron.combinatorial_polyhedron.base.CombinatorialPolyhedron 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 (class in sage.geometry.polyhedron.parent) Polyhedra_field (class in sage.geometry.polyhedron.parent) Polyhedra_normaliz (class in sage.geometry.polyhedron.parent) Polyhedra_number_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) polyhedral_complex() (sage.geometry.triangulation.element.Triangulation method) PolyhedralComplex (class in sage.geometry.polyhedral_complex) 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 (class in sage.geometry.abc) 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_base0 (class in sage.geometry.polyhedron.base0) Polyhedron_base1 (class in sage.geometry.polyhedron.base1) Polyhedron_base2 (class in sage.geometry.polyhedron.base2) Polyhedron_base3 (class in sage.geometry.polyhedron.base3) Polyhedron_base4 (class in sage.geometry.polyhedron.base4) Polyhedron_base5 (class in sage.geometry.polyhedron.base5) Polyhedron_base6 (class in sage.geometry.polyhedron.base6) Polyhedron_base7 (class in sage.geometry.polyhedron.base7) 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_number_field (class in sage.geometry.polyhedron.backend_number_field) 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_rdf) 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) PolyhedronFaceLattice (class in sage.geometry.polyhedron.combinatorial_polyhedron.polyhedron_face_lattice) PolyhedronRepresentation (class in sage.geometry.polyhedron.representation) Polytopes (class in sage.geometry.polyhedron.library) poset_of_regions() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method) positive_circuits() (sage.geometry.triangulation.point_configuration.PointConfiguration method) 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.base5.Polyhedron_base5 method) Problem (class in sage.geometry.polyhedron.double_description) product() (sage.geometry.polyhedral_complex.PolyhedralComplex method) (sage.geometry.polyhedron.base5.Polyhedron_base5 method) project_points() (in module sage.geometry.polyhedron.library) Projection (class in sage.geometry.polyhedron.plot) projection() (sage.geometry.polyhedron.base6.Polyhedron_base6 method) projection_func_identity() (in module sage.geometry.polyhedron.plot) projection_linear_map (sage.geometry.convex_set.AffineHullProjectionData attribute) projection_translation (sage.geometry.convex_set.AffineHullProjectionData attribute) 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) pushing_triangulation() (sage.geometry.triangulation.point_configuration.PointConfiguration method) pyramid() (sage.geometry.polyhedron.base5.Polyhedron_base5 method) (sage.geometry.polyhedron.combinatorial_polyhedron.base.CombinatorialPolyhedron method) (sage.geometry.polyhedron.combinatorial_polyhedron.list_of_faces.ListOfFaces method)
Index – P P (sage.geometry.polyhedron.combinatorial_polyhedron.face_iterator.FaceIterator_geom attribute) 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 (class in 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) permutations_to_matrices() (sage.geometry.polyhedron.base.Polyhedron_base method) PivotedInequalities (class in sage.geometry.polyhedron.double_description_inhomogeneous) placing_triangulation() (sage.geometry.triangulation.point_configuration.PointConfiguration method) 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.polyhedral_complex.PolyhedralComplex method) (sage.geometry.polyhedron.base6.Polyhedron_base6 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.triangulation.point_configuration.PointConfiguration 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() (in module sage.geometry.polyhedron.ppl_lattice_polytope) (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 (class in 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.base5.Polyhedron_base5 method) (sage.geometry.polyhedron.base_ZZ.Polyhedron_ZZ method) (sage.geometry.polyhedron.combinatorial_polyhedron.base.CombinatorialPolyhedron 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 (class in sage.geometry.polyhedron.parent) Polyhedra_field (class in sage.geometry.polyhedron.parent) Polyhedra_normaliz (class in sage.geometry.polyhedron.parent) Polyhedra_number_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) polyhedral_complex() (sage.geometry.triangulation.element.Triangulation method) PolyhedralComplex (class in sage.geometry.polyhedral_complex) 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 (class in sage.geometry.abc) 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_base0 (class in sage.geometry.polyhedron.base0) Polyhedron_base1 (class in sage.geometry.polyhedron.base1) Polyhedron_base2 (class in sage.geometry.polyhedron.base2) Polyhedron_base3 (class in sage.geometry.polyhedron.base3) Polyhedron_base4 (class in sage.geometry.polyhedron.base4) Polyhedron_base5 (class in sage.geometry.polyhedron.base5) Polyhedron_base6 (class in sage.geometry.polyhedron.base6) Polyhedron_base7 (class in sage.geometry.polyhedron.base7) 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_number_field (class in sage.geometry.polyhedron.backend_number_field) 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_rdf) 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) PolyhedronFaceLattice (class in sage.geometry.polyhedron.combinatorial_polyhedron.polyhedron_face_lattice) PolyhedronRepresentation (class in sage.geometry.polyhedron.representation) Polytopes (class in sage.geometry.polyhedron.library) poset_of_regions() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method) positive_circuits() (sage.geometry.triangulation.point_configuration.PointConfiguration method) 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.base5.Polyhedron_base5 method) Problem (class in sage.geometry.polyhedron.double_description) product() (sage.geometry.polyhedral_complex.PolyhedralComplex method) (sage.geometry.polyhedron.base5.Polyhedron_base5 method) project_points() (in module sage.geometry.polyhedron.library) Projection (class in sage.geometry.polyhedron.plot) projection() (sage.geometry.polyhedron.base6.Polyhedron_base6 method) projection_func_identity() (in module sage.geometry.polyhedron.plot) projection_linear_map (sage.geometry.convex_set.AffineHullProjectionData attribute) projection_translation (sage.geometry.convex_set.AffineHullProjectionData attribute) 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) pushing_triangulation() (sage.geometry.triangulation.point_configuration.PointConfiguration method) pyramid() (sage.geometry.polyhedron.base5.Polyhedron_base5 method) (sage.geometry.polyhedron.combinatorial_polyhedron.base.CombinatorialPolyhedron method) (sage.geometry.polyhedron.combinatorial_polyhedron.list_of_faces.ListOfFaces method)