Index – 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) (sage.geometry.linear_expression.LinearExpressionModule method) random_inequalities() (in module sage.geometry.polyhedron.double_description) random_integral_point() (sage.geometry.polyhedron.base2.Polyhedron_base2 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.polyhedron.representation.PolyhedronRepresentation attribute) ray() (sage.geometry.cone.IntegralRayCollection method) ray_generator() (sage.geometry.polyhedron.base0.Polyhedron_base0 method) (sage.geometry.polyhedron.face.PolyhedronFace method) rays() (sage.geometry.cone.IntegralRayCollection method) (sage.geometry.polyhedron.base0.Polyhedron_base0 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.base0.Polyhedron_base0 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) rearrangement() (in module sage.geometry.cone_catalog) rectified_one_hundred_twenty_cell() (sage.geometry.polyhedron.library.Polytopes method) rectified_six_hundred_cell() (sage.geometry.polyhedron.library.Polytopes method) recycle() (sage.geometry.polyhedron.parent.Polyhedra_base method) reduced() (sage.geometry.ribbon_graph.RibbonGraph method) 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_boundary_cells() (sage.geometry.polyhedral_complex.PolyhedralComplex method) relative_interior() (sage.geometry.cone.ConvexRationalPolyhedralCone method) (sage.geometry.convex_set.ConvexSet_base method) (sage.geometry.polyhedron.base1.Polyhedron_base1 method) (sage.geometry.relative_interior.RelativeInterior method) relative_interior_contains() (sage.geometry.cone.ConvexRationalPolyhedralCone method) (sage.geometry.polyhedron.base1.Polyhedron_base1 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) RelativeInterior (class in sage.geometry.relative_interior) remove_cell() (sage.geometry.polyhedral_complex.PolyhedralComplex 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.base6.Polyhedron_base6 method) render_solid_3d() (sage.geometry.polyhedron.plot.Projection method) render_vertices_3d() (sage.geometry.polyhedron.plot.Projection method) render_wireframe() (sage.geometry.polyhedron.base6.Polyhedron_base6 method) render_wireframe_3d() (sage.geometry.polyhedron.plot.Projection method) repr_pretty() (in module sage.geometry.polyhedron.representation) (sage.geometry.polyhedron.representation.Hrepresentation method) representative_point() (sage.geometry.convex_set.ConvexSet_base method) (sage.geometry.polyhedron.base1.Polyhedron_base1 method) (sage.geometry.relative_interior.RelativeInterior method) reset() (sage.geometry.polyhedron.combinatorial_polyhedron.face_iterator.FaceIterator_base method) (sage.geometry.polyhedron.combinatorial_polyhedron.face_iterator.FaceIterator_geom method) reset_options() (in module sage.geometry.toric_plotter) restrict_to_connected_triangulations() (sage.geometry.triangulation.point_configuration.PointConfiguration method) restrict_to_fine_triangulations() (sage.geometry.triangulation.point_configuration.PointConfiguration method) restrict_to_regular_triangulations() (sage.geometry.triangulation.point_configuration.PointConfiguration method) restrict_to_star_triangulations() (sage.geometry.triangulation.point_configuration.PointConfiguration method) restricted_automorphism_group() (sage.geometry.polyhedron.base4.Polyhedron_base4 method) (sage.geometry.polyhedron.ppl_lattice_polytope.LatticePolytope_PPL_class method) (sage.geometry.triangulation.point_configuration.PointConfiguration method) restriction() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method) reverse() (sage.geometry.newton_polygon.NewtonPolygon_element method) rho() (sage.geometry.ribbon_graph.RibbonGraph method) rhombic_dodecahedron() (sage.geometry.polyhedron.library.Polytopes method) rhombicosidodecahedron() (sage.geometry.polyhedron.library.Polytopes method) RibbonGraph (class in sage.geometry.ribbon_graph) ridges() (sage.geometry.polyhedron.combinatorial_polyhedron.base.CombinatorialPolyhedron method) 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) runcinated_one_hundred_twenty_cell() (sage.geometry.polyhedron.library.Polytopes method) runcitruncated_one_hundred_twenty_cell() (sage.geometry.polyhedron.library.Polytopes method) runcitruncated_six_hundred_cell() (sage.geometry.polyhedron.library.Polytopes method)
Index – 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) (sage.geometry.linear_expression.LinearExpressionModule method) random_inequalities() (in module sage.geometry.polyhedron.double_description) random_integral_point() (sage.geometry.polyhedron.base2.Polyhedron_base2 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.polyhedron.representation.PolyhedronRepresentation attribute) ray() (sage.geometry.cone.IntegralRayCollection method) ray_generator() (sage.geometry.polyhedron.base0.Polyhedron_base0 method) (sage.geometry.polyhedron.face.PolyhedronFace method) rays() (sage.geometry.cone.IntegralRayCollection method) (sage.geometry.polyhedron.base0.Polyhedron_base0 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.base0.Polyhedron_base0 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) rearrangement() (in module sage.geometry.cone_catalog) rectified_one_hundred_twenty_cell() (sage.geometry.polyhedron.library.Polytopes method) rectified_six_hundred_cell() (sage.geometry.polyhedron.library.Polytopes method) recycle() (sage.geometry.polyhedron.parent.Polyhedra_base method) reduced() (sage.geometry.ribbon_graph.RibbonGraph method) 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_boundary_cells() (sage.geometry.polyhedral_complex.PolyhedralComplex method) relative_interior() (sage.geometry.cone.ConvexRationalPolyhedralCone method) (sage.geometry.convex_set.ConvexSet_base method) (sage.geometry.polyhedron.base1.Polyhedron_base1 method) (sage.geometry.relative_interior.RelativeInterior method) relative_interior_contains() (sage.geometry.cone.ConvexRationalPolyhedralCone method) (sage.geometry.polyhedron.base1.Polyhedron_base1 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) RelativeInterior (class in sage.geometry.relative_interior) remove_cell() (sage.geometry.polyhedral_complex.PolyhedralComplex 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.base6.Polyhedron_base6 method) render_solid_3d() (sage.geometry.polyhedron.plot.Projection method) render_vertices_3d() (sage.geometry.polyhedron.plot.Projection method) render_wireframe() (sage.geometry.polyhedron.base6.Polyhedron_base6 method) render_wireframe_3d() (sage.geometry.polyhedron.plot.Projection method) repr_pretty() (in module sage.geometry.polyhedron.representation) (sage.geometry.polyhedron.representation.Hrepresentation method) representative_point() (sage.geometry.convex_set.ConvexSet_base method) (sage.geometry.polyhedron.base1.Polyhedron_base1 method) (sage.geometry.relative_interior.RelativeInterior method) reset() (sage.geometry.polyhedron.combinatorial_polyhedron.face_iterator.FaceIterator_base method) (sage.geometry.polyhedron.combinatorial_polyhedron.face_iterator.FaceIterator_geom method) reset_options() (in module sage.geometry.toric_plotter) restrict_to_connected_triangulations() (sage.geometry.triangulation.point_configuration.PointConfiguration method) restrict_to_fine_triangulations() (sage.geometry.triangulation.point_configuration.PointConfiguration method) restrict_to_regular_triangulations() (sage.geometry.triangulation.point_configuration.PointConfiguration method) restrict_to_star_triangulations() (sage.geometry.triangulation.point_configuration.PointConfiguration method) restricted_automorphism_group() (sage.geometry.polyhedron.base4.Polyhedron_base4 method) (sage.geometry.polyhedron.ppl_lattice_polytope.LatticePolytope_PPL_class method) (sage.geometry.triangulation.point_configuration.PointConfiguration method) restriction() (sage.geometry.hyperplane_arrangement.arrangement.HyperplaneArrangementElement method) reverse() (sage.geometry.newton_polygon.NewtonPolygon_element method) rho() (sage.geometry.ribbon_graph.RibbonGraph method) rhombic_dodecahedron() (sage.geometry.polyhedron.library.Polytopes method) rhombicosidodecahedron() (sage.geometry.polyhedron.library.Polytopes method) RibbonGraph (class in sage.geometry.ribbon_graph) ridges() (sage.geometry.polyhedron.combinatorial_polyhedron.base.CombinatorialPolyhedron method) 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) runcinated_one_hundred_twenty_cell() (sage.geometry.polyhedron.library.Polytopes method) runcitruncated_one_hundred_twenty_cell() (sage.geometry.polyhedron.library.Polytopes method) runcitruncated_six_hundred_cell() (sage.geometry.polyhedron.library.Polytopes method)