Index _ | A | B | C | D | E | F | G | H | I | J | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z _ __abstractmethods__ (flatsurf.geometry.hyperbolic.HyperbolicEdges attribute) (flatsurf.geometry.hyperbolic.HyperbolicHalfSpaces attribute) (flatsurf.geometry.hyperbolic.HyperbolicVertices attribute) (flatsurf.geometry.hyperbolic.OrderedSet attribute) (flatsurf.geometry.surface.ComponentLabels attribute) (flatsurf.geometry.surface.Edges attribute) (flatsurf.geometry.surface.Gluings attribute) (flatsurf.geometry.surface.LabeledCollection attribute) (flatsurf.geometry.surface.LabeledSet attribute) (flatsurf.geometry.surface.LabeledView attribute) (flatsurf.geometry.surface.Labels attribute) (flatsurf.geometry.surface.LabelsFromView attribute) (flatsurf.geometry.surface.Polygons attribute) (flatsurf.geometry.surface.Polygons_MutableOrientedSimilaritySurface attribute) (flatsurf.geometry.surface.RootedComponents_MutablePolygonalSurface attribute) __add__() (flatsurf.geometry.hyperbolic.OrderedSet method) __annotations__ (flatsurf.geometry.hyperbolic.HyperbolicConvexPolygon attribute) (flatsurf.geometry.hyperbolic.HyperbolicConvexSet attribute) (flatsurf.geometry.hyperbolic.HyperbolicEmptySet attribute) (flatsurf.geometry.hyperbolic.HyperbolicEpsilonGeometry attribute) (flatsurf.geometry.hyperbolic.HyperbolicExactGeometry attribute) (flatsurf.geometry.hyperbolic.HyperbolicGeodesic attribute) (flatsurf.geometry.hyperbolic.HyperbolicGeometry attribute) (flatsurf.geometry.hyperbolic.HyperbolicHalfSpace attribute) (flatsurf.geometry.hyperbolic.HyperbolicHalfSpaces attribute) (flatsurf.geometry.hyperbolic.HyperbolicOrientedConvexSet attribute) (flatsurf.geometry.hyperbolic.HyperbolicOrientedGeodesic attribute) (flatsurf.geometry.hyperbolic.HyperbolicOrientedSegment attribute) (flatsurf.geometry.hyperbolic.HyperbolicPlane attribute) (flatsurf.geometry.hyperbolic.HyperbolicPoint attribute) (flatsurf.geometry.hyperbolic.HyperbolicPointFromCoordinates attribute) (flatsurf.geometry.hyperbolic.HyperbolicPointFromGeodesic attribute) (flatsurf.geometry.hyperbolic.HyperbolicSegment attribute) (flatsurf.geometry.hyperbolic.HyperbolicUnorientedGeodesic attribute) (flatsurf.geometry.hyperbolic.HyperbolicUnorientedSegment attribute) (flatsurf.geometry.hyperbolic.HyperbolicVertices attribute) (flatsurf.geometry.hyperbolic.OrderedSet attribute) (flatsurf.geometry.morphism.DelaunayDecompositionIsomorphism attribute) (flatsurf.geometry.morphism.DelaunayDecompositionMorphism attribute) (flatsurf.geometry.morphism.DelaunayTriangulationMorphism attribute) (flatsurf.geometry.morphism.DelaunayTriangulationMorphism_delaunay_decomposition attribute) (flatsurf.geometry.morphism.GL2RMorphism attribute) (flatsurf.geometry.morphism.IdentityMorphism attribute) (flatsurf.geometry.morphism.MorphismSpace attribute) (flatsurf.geometry.morphism.NamedFactorizationMorphism attribute) (flatsurf.geometry.morphism.NamedUnknownMorphism attribute) (flatsurf.geometry.morphism.SectionMorphism attribute) (flatsurf.geometry.morphism.SubdivideEdgesMorphism attribute) (flatsurf.geometry.morphism.SurfaceMorphism attribute) (flatsurf.geometry.morphism.SurfaceMorphism_factorization attribute) (flatsurf.geometry.morphism.SurfaceMorphismSpace attribute) (flatsurf.geometry.morphism.TriangulationMorphism_base attribute) (flatsurf.geometry.morphism.TriangulationMorphism_LazyTriangulatedSurface attribute) (flatsurf.geometry.morphism.UnknownRing attribute) (flatsurf.geometry.morphism.UnknownSurface attribute) (flatsurf.geometry.pyflatsurf.conversion.FlatTriangulationConversion attribute) (flatsurf.geometry.pyflatsurf.conversion.RingConversion attribute) (flatsurf.geometry.pyflatsurf.conversion.RingConversion_algebraic attribute) (flatsurf.geometry.pyflatsurf.conversion.RingConversion_eantic attribute) (flatsurf.geometry.pyflatsurf.conversion.RingConversion_exactreal attribute) (flatsurf.geometry.pyflatsurf.conversion.RingConversion_gmp attribute) (flatsurf.geometry.pyflatsurf.conversion.RingConversion_int attribute) (flatsurf.geometry.pyflatsurf.conversion.VectorSpaceConversion attribute) (flatsurf.geometry.pyflatsurf.morphism.Morphism_Deformation attribute) (flatsurf.geometry.pyflatsurf.morphism.Morphism_from_pyflatsurf attribute) (flatsurf.geometry.pyflatsurf.morphism.Morphism_to_pyflatsurf attribute) (flatsurf.geometry.pyflatsurf.surface.Surface_pyflatsurf attribute) (flatsurf.geometry.surface.BaseRingChangedSurface attribute) (flatsurf.geometry.surface.ComponentLabels attribute) (flatsurf.geometry.surface.Edges attribute) (flatsurf.geometry.surface.Gluings attribute) (flatsurf.geometry.surface.LabeledCollection attribute) (flatsurf.geometry.surface.LabeledSet attribute) (flatsurf.geometry.surface.LabeledView attribute) (flatsurf.geometry.surface.Labels attribute) (flatsurf.geometry.surface.LabelsFromView attribute) (flatsurf.geometry.surface.MutableOrientedSimilaritySurface attribute) (flatsurf.geometry.surface.MutableOrientedSimilaritySurface_base attribute) (flatsurf.geometry.surface.MutablePolygonalSurface attribute) (flatsurf.geometry.surface.OrientedSimilaritySurface attribute) (flatsurf.geometry.surface.Polygons attribute) (flatsurf.geometry.surface.Polygons_MutableOrientedSimilaritySurface attribute) (flatsurf.geometry.surface.RootedComponents_MutablePolygonalSurface attribute) (flatsurf.geometry.surface.Surface_base attribute) (flatsurf.geometry.veech_group.AffineAutomorphism_matrix attribute) (flatsurf.geometry.veech_group.AffineAutomorphismGroup_generic attribute) __bool__() (flatsurf.geometry.hyperbolic.HyperbolicConvexSet method) __call__() (flatsurf.geometry.hyperbolic.HyperbolicPlane method) (flatsurf.geometry.morphism.SurfaceMorphism method) (flatsurf.geometry.pyflatsurf.conversion.Conversion method) (flatsurf.geometry.pyflatsurf.conversion.FlatTriangulationConversion method) (flatsurf.geometry.pyflatsurf.conversion.RingConversion_algebraic method) (flatsurf.geometry.pyflatsurf.conversion.RingConversion_eantic method) (flatsurf.geometry.pyflatsurf.conversion.RingConversion_exactreal method) (flatsurf.geometry.pyflatsurf.conversion.RingConversion_gmp method) (flatsurf.geometry.pyflatsurf.conversion.RingConversion_int method) (flatsurf.geometry.pyflatsurf.conversion.VectorSpaceConversion method) __classcall__() (flatsurf.geometry.hyperbolic.HyperbolicPlane static method) __contains__() (flatsurf.geometry.hyperbolic.HyperbolicConvexSet method) (flatsurf.geometry.hyperbolic.HyperbolicGeodesic method) (flatsurf.geometry.hyperbolic.HyperbolicHalfSpace method) (flatsurf.geometry.hyperbolic.HyperbolicPlane method) (flatsurf.geometry.hyperbolic.HyperbolicPoint method) (flatsurf.geometry.hyperbolic.OrderedSet method) (flatsurf.geometry.surface.Edges method) (flatsurf.geometry.surface.Gluings method) (flatsurf.geometry.surface.LabeledCollection method) (flatsurf.geometry.surface.LabeledView method) (flatsurf.geometry.veech_group.VeechGroup_generic method) __dict__ (flatsurf.geometry.hyperbolic.HyperbolicConvexFacade attribute) (flatsurf.geometry.hyperbolic.HyperbolicConvexSet attribute) (flatsurf.geometry.hyperbolic.HyperbolicGeometry attribute) (flatsurf.geometry.hyperbolic.HyperbolicPlane attribute) (flatsurf.geometry.hyperbolic.HyperbolicPoint attribute) (flatsurf.geometry.hyperbolic.OrderedSet attribute) (flatsurf.geometry.morphism.SurfaceMorphism attribute) (flatsurf.geometry.morphism.UnknownRing attribute) (flatsurf.geometry.pyflatsurf.conversion.Conversion attribute) (flatsurf.geometry.surface.LabeledCollection attribute) (flatsurf.geometry.surface.RootedComponents_MutablePolygonalSurface attribute) (flatsurf.geometry.surface.Surface_base attribute) (flatsurf.geometry.veech_group.DerivativeMap attribute) (flatsurf.geometry.veech_group.SectionDerivativeMap attribute) __eq__() (flatsurf.geometry.hyperbolic.HyperbolicConvexPolygon method) (flatsurf.geometry.hyperbolic.HyperbolicEmptySet method) (flatsurf.geometry.hyperbolic.HyperbolicGeodesic method) (flatsurf.geometry.hyperbolic.HyperbolicHalfSpace method) (flatsurf.geometry.hyperbolic.HyperbolicSegment method) (flatsurf.geometry.hyperbolic.OrderedSet method) (flatsurf.geometry.morphism.CompositionMorphism method) (flatsurf.geometry.morphism.DelaunayDecompositionIsomorphism method) (flatsurf.geometry.morphism.DelaunayDecompositionMorphism method) (flatsurf.geometry.morphism.DelaunayTriangulationMorphism method) (flatsurf.geometry.morphism.DelaunayTriangulationMorphism_delaunay_decomposition method) (flatsurf.geometry.morphism.GL2RMorphism method) (flatsurf.geometry.morphism.IdentityMorphism method) (flatsurf.geometry.morphism.NamedFactorizationMorphism method) (flatsurf.geometry.morphism.NamedUnknownMorphism method) (flatsurf.geometry.morphism.SectionMorphism method) (flatsurf.geometry.morphism.SubdivideEdgesMorphism method) (flatsurf.geometry.morphism.SurfaceMorphism method) (flatsurf.geometry.morphism.SurfaceMorphismSpace method) (flatsurf.geometry.morphism.TriangulationMorphism_LazyTriangulatedSurface method) (flatsurf.geometry.pyflatsurf.conversion.Conversion method) (flatsurf.geometry.pyflatsurf.conversion.FlatTriangulationConversion method) (flatsurf.geometry.pyflatsurf.morphism.Morphism_Deformation method) (flatsurf.geometry.pyflatsurf.morphism.Morphism_from_pyflatsurf method) (flatsurf.geometry.pyflatsurf.morphism.Morphism_to_pyflatsurf method) (flatsurf.geometry.pyflatsurf.surface.Surface_pyflatsurf method) (flatsurf.geometry.surface.BaseRingChangedSurface method) (flatsurf.geometry.surface.MutableOrientedSimilaritySurface method) (flatsurf.geometry.surface.MutablePolygonalSurface method) (flatsurf.geometry.veech_group.AffineAutomorphism_matrix method) (flatsurf.geometry.veech_group.DerivativeMap method) (flatsurf.geometry.veech_group.SectionDerivativeMap method) (flatsurf.geometry.veech_group.VeechGroup_generic method) __getattr__() (flatsurf.geometry.morphism.SurfaceMorphism method) __getitem__() (flatsurf.geometry.hyperbolic.OrderedSet method) (flatsurf.geometry.surface.Labels method) (flatsurf.geometry.surface.RootedComponents_MutablePolygonalSurface method) __hash__ (flatsurf.geometry.hyperbolic.HyperbolicSegment attribute) (flatsurf.geometry.pyflatsurf.conversion.FlatTriangulationConversion attribute) __hash__() (flatsurf.geometry.hyperbolic.HyperbolicConvexPolygon method) (flatsurf.geometry.hyperbolic.HyperbolicConvexSet method) (flatsurf.geometry.hyperbolic.HyperbolicEmptySet method) (flatsurf.geometry.hyperbolic.HyperbolicGeodesic method) (flatsurf.geometry.hyperbolic.HyperbolicHalfSpace method) (flatsurf.geometry.hyperbolic.HyperbolicOrientedSegment method) (flatsurf.geometry.hyperbolic.HyperbolicPoint method) (flatsurf.geometry.hyperbolic.HyperbolicPointFromGeodesic method) (flatsurf.geometry.hyperbolic.HyperbolicUnorientedSegment method) (flatsurf.geometry.hyperbolic.OrderedSet method) (flatsurf.geometry.morphism.CompositionMorphism method) (flatsurf.geometry.morphism.DelaunayDecompositionIsomorphism method) (flatsurf.geometry.morphism.DelaunayDecompositionMorphism method) (flatsurf.geometry.morphism.DelaunayTriangulationMorphism method) (flatsurf.geometry.morphism.DelaunayTriangulationMorphism_delaunay_decomposition method) (flatsurf.geometry.morphism.GL2RMorphism method) (flatsurf.geometry.morphism.IdentityMorphism method) (flatsurf.geometry.morphism.NamedFactorizationMorphism method) (flatsurf.geometry.morphism.NamedUnknownMorphism method) (flatsurf.geometry.morphism.SectionMorphism method) (flatsurf.geometry.morphism.SubdivideEdgesMorphism method) (flatsurf.geometry.morphism.SurfaceMorphism method) (flatsurf.geometry.morphism.SurfaceMorphismSpace method) (flatsurf.geometry.morphism.TriangulationMorphism_LazyTriangulatedSurface method) (flatsurf.geometry.pyflatsurf.conversion.Conversion method) (flatsurf.geometry.pyflatsurf.morphism.Morphism_Deformation method) (flatsurf.geometry.pyflatsurf.morphism.Morphism_from_pyflatsurf method) (flatsurf.geometry.pyflatsurf.morphism.Morphism_to_pyflatsurf method) (flatsurf.geometry.pyflatsurf.surface.Surface_pyflatsurf method) (flatsurf.geometry.surface.BaseRingChangedSurface method) (flatsurf.geometry.surface.MutableOrientedSimilaritySurface method) (flatsurf.geometry.surface.MutablePolygonalSurface method) (flatsurf.geometry.veech_group.AffineAutomorphism_matrix method) (flatsurf.geometry.veech_group.DerivativeMap method) (flatsurf.geometry.veech_group.SectionDerivativeMap method) (flatsurf.geometry.veech_group.VeechGroup_generic method) __init__() (flatsurf.geometry.hyperbolic.HyperbolicConvexFacade method) (flatsurf.geometry.hyperbolic.HyperbolicConvexPolygon method) (flatsurf.geometry.hyperbolic.HyperbolicEpsilonGeometry method) (flatsurf.geometry.hyperbolic.HyperbolicGeodesic method) (flatsurf.geometry.hyperbolic.HyperbolicGeometry method) (flatsurf.geometry.hyperbolic.HyperbolicHalfSpace method) (flatsurf.geometry.hyperbolic.HyperbolicPlane method) (flatsurf.geometry.hyperbolic.HyperbolicPointFromCoordinates method) (flatsurf.geometry.hyperbolic.HyperbolicPointFromGeodesic method) (flatsurf.geometry.hyperbolic.HyperbolicSegment method) (flatsurf.geometry.hyperbolic.HyperbolicVertices method) (flatsurf.geometry.hyperbolic.OrderedSet method) (flatsurf.geometry.morphism.CompositionMorphism method) (flatsurf.geometry.morphism.GL2RMorphism method) (flatsurf.geometry.morphism.IdentityMorphism method) (flatsurf.geometry.morphism.NamedFactorizationMorphism method) (flatsurf.geometry.morphism.NamedUnknownMorphism method) (flatsurf.geometry.morphism.SectionMorphism method) (flatsurf.geometry.morphism.SubdivideEdgesMorphism method) (flatsurf.geometry.morphism.UnknownRing method) (flatsurf.geometry.pyflatsurf.conversion.Conversion method) (flatsurf.geometry.pyflatsurf.conversion.FlatTriangulationConversion method) (flatsurf.geometry.pyflatsurf.conversion.RingConversion_algebraic method) (flatsurf.geometry.pyflatsurf.conversion.VectorSpaceConversion method) (flatsurf.geometry.pyflatsurf.morphism.Morphism_Deformation method) (flatsurf.geometry.pyflatsurf.morphism.Morphism_from_pyflatsurf method) (flatsurf.geometry.pyflatsurf.morphism.Morphism_to_pyflatsurf method) (flatsurf.geometry.pyflatsurf.surface.Surface_pyflatsurf method) (flatsurf.geometry.surface.BaseRingChangedSurface method) (flatsurf.geometry.surface.ComponentLabels method) (flatsurf.geometry.surface.LabeledCollection method) (flatsurf.geometry.surface.LabeledView method) (flatsurf.geometry.surface.MutableOrientedSimilaritySurface method) (flatsurf.geometry.surface.MutablePolygonalSurface method) (flatsurf.geometry.surface.OrientedSimilaritySurface method) (flatsurf.geometry.surface.Polygons_MutableOrientedSimilaritySurface method) (flatsurf.geometry.surface.RootedComponents_MutablePolygonalSurface method) (flatsurf.geometry.veech_group.AffineAutomorphism_matrix method) (flatsurf.geometry.veech_group.AffineAutomorphismGroup_generic method) (flatsurf.geometry.veech_group.SectionDerivativeMap method) (flatsurf.geometry.veech_group.VeechGroup_generic method) __iter__() (flatsurf.geometry.hyperbolic.OrderedSet method) (flatsurf.geometry.surface.ComponentLabels method) (flatsurf.geometry.surface.Edges method) (flatsurf.geometry.surface.Gluings method) (flatsurf.geometry.surface.LabeledView method) (flatsurf.geometry.surface.Labels method) (flatsurf.geometry.surface.Polygons method) (flatsurf.geometry.surface.RootedComponents_MutablePolygonalSurface method) __len__() (flatsurf.geometry.hyperbolic.OrderedSet method) (flatsurf.geometry.surface.LabeledCollection method) (flatsurf.geometry.surface.LabeledView method) (flatsurf.geometry.surface.Polygons method) (flatsurf.geometry.surface.Polygons_MutableOrientedSimilaritySurface method) (flatsurf.geometry.surface.RootedComponents_MutablePolygonalSurface method) __module__ (flatsurf.geometry.hyperbolic.HyperbolicConvexFacade attribute) (flatsurf.geometry.hyperbolic.HyperbolicConvexPolygon attribute) (flatsurf.geometry.hyperbolic.HyperbolicConvexSet attribute) (flatsurf.geometry.hyperbolic.HyperbolicEdges attribute) (flatsurf.geometry.hyperbolic.HyperbolicEmptySet attribute) (flatsurf.geometry.hyperbolic.HyperbolicEpsilonGeometry attribute) (flatsurf.geometry.hyperbolic.HyperbolicExactGeometry attribute) (flatsurf.geometry.hyperbolic.HyperbolicGeodesic attribute) (flatsurf.geometry.hyperbolic.HyperbolicGeometry attribute) (flatsurf.geometry.hyperbolic.HyperbolicHalfSpace attribute) (flatsurf.geometry.hyperbolic.HyperbolicHalfSpaces attribute) (flatsurf.geometry.hyperbolic.HyperbolicOrientedConvexSet attribute) (flatsurf.geometry.hyperbolic.HyperbolicOrientedGeodesic attribute) (flatsurf.geometry.hyperbolic.HyperbolicOrientedSegment attribute) (flatsurf.geometry.hyperbolic.HyperbolicPlane attribute) (flatsurf.geometry.hyperbolic.HyperbolicPoint attribute) (flatsurf.geometry.hyperbolic.HyperbolicPointFromCoordinates attribute) (flatsurf.geometry.hyperbolic.HyperbolicPointFromGeodesic attribute) (flatsurf.geometry.hyperbolic.HyperbolicSegment attribute) (flatsurf.geometry.hyperbolic.HyperbolicUnorientedGeodesic attribute) (flatsurf.geometry.hyperbolic.HyperbolicUnorientedSegment attribute) (flatsurf.geometry.hyperbolic.HyperbolicVertices attribute) (flatsurf.geometry.hyperbolic.OrderedSet attribute) (flatsurf.geometry.morphism.CompositionMorphism attribute) (flatsurf.geometry.morphism.DelaunayDecompositionIsomorphism attribute) (flatsurf.geometry.morphism.DelaunayDecompositionMorphism attribute) (flatsurf.geometry.morphism.DelaunayTriangulationMorphism attribute) (flatsurf.geometry.morphism.DelaunayTriangulationMorphism_delaunay_decomposition attribute) (flatsurf.geometry.morphism.GL2RMorphism attribute) (flatsurf.geometry.morphism.IdentityMorphism attribute) (flatsurf.geometry.morphism.MorphismSpace attribute) (flatsurf.geometry.morphism.NamedFactorizationMorphism attribute) (flatsurf.geometry.morphism.NamedUnknownMorphism attribute) (flatsurf.geometry.morphism.SectionMorphism attribute) (flatsurf.geometry.morphism.SubdivideEdgesMorphism attribute) (flatsurf.geometry.morphism.SurfaceMorphism attribute) (flatsurf.geometry.morphism.SurfaceMorphism_factorization attribute) (flatsurf.geometry.morphism.SurfaceMorphismSpace attribute) (flatsurf.geometry.morphism.TriangulationMorphism_base attribute) (flatsurf.geometry.morphism.TriangulationMorphism_LazyTriangulatedSurface attribute) (flatsurf.geometry.morphism.UnknownRing attribute) (flatsurf.geometry.morphism.UnknownSurface attribute) (flatsurf.geometry.pyflatsurf.conversion.Conversion attribute) (flatsurf.geometry.pyflatsurf.conversion.FlatTriangulationConversion attribute) (flatsurf.geometry.pyflatsurf.conversion.RingConversion attribute) (flatsurf.geometry.pyflatsurf.conversion.RingConversion_algebraic attribute) (flatsurf.geometry.pyflatsurf.conversion.RingConversion_eantic attribute) (flatsurf.geometry.pyflatsurf.conversion.RingConversion_exactreal attribute) (flatsurf.geometry.pyflatsurf.conversion.RingConversion_gmp attribute) (flatsurf.geometry.pyflatsurf.conversion.RingConversion_int attribute) (flatsurf.geometry.pyflatsurf.conversion.VectorSpaceConversion attribute) (flatsurf.geometry.pyflatsurf.morphism.Morphism_Deformation attribute) (flatsurf.geometry.pyflatsurf.morphism.Morphism_from_pyflatsurf attribute) (flatsurf.geometry.pyflatsurf.morphism.Morphism_to_pyflatsurf attribute) (flatsurf.geometry.pyflatsurf.surface.Surface_pyflatsurf attribute) (flatsurf.geometry.surface.BaseRingChangedSurface attribute) (flatsurf.geometry.surface.ComponentLabels attribute) (flatsurf.geometry.surface.Edges attribute) (flatsurf.geometry.surface.Gluings attribute) (flatsurf.geometry.surface.LabeledCollection attribute) (flatsurf.geometry.surface.LabeledSet attribute) (flatsurf.geometry.surface.LabeledView attribute) (flatsurf.geometry.surface.Labels attribute) (flatsurf.geometry.surface.LabelsFromView attribute) (flatsurf.geometry.surface.MutableOrientedSimilaritySurface attribute) (flatsurf.geometry.surface.MutableOrientedSimilaritySurface_base attribute) (flatsurf.geometry.surface.MutablePolygonalSurface attribute) (flatsurf.geometry.surface.OrientedSimilaritySurface attribute) (flatsurf.geometry.surface.Polygons attribute) (flatsurf.geometry.surface.Polygons_MutableOrientedSimilaritySurface attribute) (flatsurf.geometry.surface.RootedComponents_MutablePolygonalSurface attribute) (flatsurf.geometry.surface.Surface_base attribute) (flatsurf.geometry.veech_group.AffineAutomorphism_matrix attribute) (flatsurf.geometry.veech_group.AffineAutomorphismGroup_generic attribute) (flatsurf.geometry.veech_group.DerivativeMap attribute) (flatsurf.geometry.veech_group.SectionDerivativeMap attribute) (flatsurf.geometry.veech_group.VeechGroup_generic attribute) __ne__() (flatsurf.geometry.hyperbolic.OrderedSet method) __neg__() (flatsurf.geometry.hyperbolic.HyperbolicHalfSpace method) (flatsurf.geometry.hyperbolic.HyperbolicOrientedGeodesic method) (flatsurf.geometry.hyperbolic.HyperbolicOrientedSegment method) __reduce__() (flatsurf.geometry.morphism.DelaunayDecompositionIsomorphism method) (flatsurf.geometry.morphism.IdentityMorphism method) (flatsurf.geometry.morphism.MorphismSpace method) (flatsurf.geometry.morphism.NamedUnknownMorphism method) (flatsurf.geometry.morphism.SurfaceMorphismSpace method) (flatsurf.geometry.veech_group.AffineAutomorphism_matrix method) (flatsurf.geometry.veech_group.AffineAutomorphismGroup_generic method) __repr__() (flatsurf.geometry.hyperbolic.HyperbolicEpsilonGeometry method) (flatsurf.geometry.hyperbolic.HyperbolicExactGeometry method) (flatsurf.geometry.hyperbolic.OrderedSet method) (flatsurf.geometry.morphism.SurfaceMorphismSpace method) (flatsurf.geometry.pyflatsurf.conversion.Conversion method) (flatsurf.geometry.pyflatsurf.surface.Surface_pyflatsurf method) (flatsurf.geometry.surface.LabeledCollection method) (flatsurf.geometry.veech_group.AffineAutomorphismGroup_generic method) __weakref__ (flatsurf.geometry.hyperbolic.HyperbolicConvexSet attribute) (flatsurf.geometry.hyperbolic.HyperbolicGeometry attribute) (flatsurf.geometry.hyperbolic.HyperbolicPoint attribute) (flatsurf.geometry.hyperbolic.OrderedSet attribute) (flatsurf.geometry.pyflatsurf.conversion.Conversion attribute) (flatsurf.geometry.surface.LabeledCollection attribute) (flatsurf.geometry.surface.RootedComponents_MutablePolygonalSurface attribute) _equal() (flatsurf.geometry.hyperbolic.HyperbolicEpsilonGeometry method) (flatsurf.geometry.hyperbolic.HyperbolicExactGeometry method) (flatsurf.geometry.hyperbolic.HyperbolicGeometry method) _factorization() (flatsurf.geometry.morphism.DelaunayDecompositionIsomorphism method) (flatsurf.geometry.morphism.NamedFactorizationMorphism method) (flatsurf.geometry.morphism.SurfaceMorphism_factorization method) _intersection() (flatsurf.geometry.hyperbolic.HyperbolicGeodesic method) _isometry_conditions() (flatsurf.geometry.hyperbolic.HyperbolicConvexPolygon method) (flatsurf.geometry.hyperbolic.HyperbolicConvexSet method) (flatsurf.geometry.hyperbolic.HyperbolicHalfSpace method) (flatsurf.geometry.hyperbolic.HyperbolicOrientedSegment method) (flatsurf.geometry.hyperbolic.HyperbolicPlane method) (flatsurf.geometry.hyperbolic.HyperbolicUnorientedGeodesic method) (flatsurf.geometry.hyperbolic.HyperbolicUnorientedSegment method) _isometry_from_equations() (flatsurf.geometry.hyperbolic.HyperbolicPlane method) _isometry_gl2_to_sim12() (flatsurf.geometry.hyperbolic.HyperbolicPlane method) _isometry_sim12_to_gl2() (flatsurf.geometry.hyperbolic.HyperbolicPlane method) _lt_() (flatsurf.geometry.hyperbolic.HyperbolicEdges class method) (flatsurf.geometry.hyperbolic.HyperbolicHalfSpaces class method) (flatsurf.geometry.hyperbolic.HyperbolicVertices method) (flatsurf.geometry.hyperbolic.OrderedSet method) _merge() (flatsurf.geometry.hyperbolic.HyperbolicVertices method) (flatsurf.geometry.hyperbolic.OrderedSet method) _normalize() (flatsurf.geometry.hyperbolic.HyperbolicConvexPolygon method) (flatsurf.geometry.hyperbolic.HyperbolicConvexSet method) (flatsurf.geometry.hyperbolic.HyperbolicSegment method) _normalize_drop_euclidean_redundant() (flatsurf.geometry.hyperbolic.HyperbolicConvexPolygon method) _normalize_drop_unit_disk_redundant() (flatsurf.geometry.hyperbolic.HyperbolicConvexPolygon method) _normalize_euclidean_boundary() (flatsurf.geometry.hyperbolic.HyperbolicConvexPolygon method) _test_eq_surface() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.FiniteType.ParentMethods method) A a() (flatsurf.geometry.mega_wollmilchsau.MegaWollmilchsauGroup method) absolute_dimension() (flatsurf.geometry.gl2r_orbit_closure.GL2ROrbitClosure method) absolute_homology() (flatsurf.geometry.gl2r_orbit_closure.GL2ROrbitClosure method) AbstractOrigami (class in flatsurf.geometry.origami) AbstractStraightLineTrajectory (class in flatsurf.geometry.straight_line_trajectory) acos() (in module flatsurf.geometry.euclidean) add_polygon() (flatsurf.geometry.surface.MutableOrientedSimilaritySurface method) (flatsurf.geometry.surface.MutablePolygonalSurface method) (flatsurf.geometry.surface_legacy.Surface method) add_polygons() (flatsurf.geometry.surface.MutablePolygonalSurface method) (flatsurf.geometry.surface_legacy.Surface method) adjacent_edge_options (flatsurf.graphical.surface.GraphicalSurface attribute) affine_automorphism_group() (flatsurf.geometry.categories.dilation_surfaces.DilationSurfaces.ParentMethods method) AffineAutomorphism_matrix (class in flatsurf.geometry.veech_group) AffineAutomorphismGroup() (in module flatsurf.geometry.veech_group) AffineAutomorphismGroup_generic (class in flatsurf.geometry.veech_group) algebraic_intersection() (flatsurf.geometry.homology.SimplicialHomologyClass method) ambient_stratum() (flatsurf.geometry.gl2r_orbit_closure.GL2ROrbitClosure method) an_element() (flatsurf.geometry.categories.euclidean_polygons_with_angles.EuclideanPolygonsWithAngles.SubcategoryMethods method) (flatsurf.geometry.homology.SimplicialHomologyMorphismSpace method) (flatsurf.geometry.surface.Surface_base method) angle() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.ParentMethods method) (flatsurf.geometry.categories.euclidean_polygons_with_angles.EuclideanPolygonsWithAngles.ParentMethods method) (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ElementMethods method) (flatsurf.geometry.hyperbolic.HyperbolicOrientedGeodesic method) (in module flatsurf.geometry.euclidean) angles() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.ParentMethods method) (flatsurf.geometry.categories.euclidean_polygons_with_angles.EuclideanPolygonsWithAngles.SubcategoryMethods method) (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) apply_isometry() (flatsurf.geometry.hyperbolic.HyperbolicConvexSet method) apply_matrix() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.ParentMethods method) (flatsurf.geometry.pyflatsurf.surface.Surface_pyflatsurf method) area() (flatsurf.geometry.categories.cone_surfaces.ConeSurfaces.FiniteType.ParentMethods method) (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.ParentMethods method) (flatsurf.geometry.hyperbolic.HyperbolicConvexSet method) (flatsurf.geometry.surface_objects.Cylinder method) args (flatsurf.graphical.hyperbolic.CartesianPathPlotCommand attribute) arnoux_yoccoz() (flatsurf.geometry.similarity_surface_generators.TranslationSurfaceGenerators static method) B b() (flatsurf.geometry.mega_wollmilchsau.MegaWollmilchsauGroup method) backward_image() (flatsurf.geometry.interval_exchange_transformation.FlowPolygonMap method) barycenter() (flatsurf.geometry.l_infinity_delaunay_cells.LInfinityMarkedTriangulation method) base_label() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.ParentMethods method) base_polygon() (flatsurf.graphical.polygon.GraphicalPolygon method) base_ring() (flatsurf.geometry.categories.polygons.Polygons.ParentMethods method) (flatsurf.geometry.categories.polygons.Polygons.SubcategoryMethods method) (flatsurf.geometry.gl2r_orbit_closure.GL2ROrbitClosure method) (flatsurf.geometry.homology.SimplicialHomologyMorphismSpace method) (flatsurf.geometry.hyperbolic.HyperbolicConvexFacade method) (flatsurf.geometry.hyperbolic.HyperbolicGeometry method) (flatsurf.geometry.hyperbolic.HyperbolicPlane method) (flatsurf.geometry.morphism.MorphismSpace method) (flatsurf.geometry.similarity.SimilarityGroup method) (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentBundle method) BaseRingChangedSurface (class in flatsurf.geometry.surface) basic_dilation_torus() (flatsurf.geometry.similarity_surface_generators.DilationSurfaceGenerators static method) billiard() (flatsurf.geometry.similarity_surface_generators.SimilaritySurfaceGenerators static method) billiard_unfolding_angles() (flatsurf.geometry.categories.euclidean_polygons_with_angles.EuclideanPolygonsWithAngles.SubcategoryMethods method) billiard_unfolding_stratum() (flatsurf.geometry.categories.euclidean_polygons_with_angles.EuclideanPolygonsWithAngles.SubcategoryMethods method) billiard_unfolding_stratum_dimension() (flatsurf.geometry.categories.euclidean_polygons_with_angles.EuclideanPolygonsWithAngles.SubcategoryMethods method) bottom_top_delaunay_condition() (in module flatsurf.geometry.l_infinity_delaunay_cells) bottom_top_pairs() (flatsurf.geometry.l_infinity_delaunay_cells.LInfinityMarkedTriangulation method) boundaries() (flatsurf.geometry.gl2r_orbit_closure.GL2ROrbitClosure method) boundary() (flatsurf.geometry.homology.SimplicialHomologyGroup method) (flatsurf.geometry.hyperbolic.HyperbolicHalfSpace method) (flatsurf.geometry.surface_objects.Cylinder method) boundary_components() (flatsurf.geometry.surface_objects.Cylinder method) bounding_box() (flatsurf.graphical.polygon.GraphicalPolygon method) (flatsurf.graphical.surface.GraphicalSurface method) bundle() (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentVector method) C cached_surface_method() (in module flatsurf.cache) CachedSurfaceMethod (class in flatsurf.cache) CachedSurfaceMethodCaller (class in flatsurf.cache) CachedSurfaceMethodCallerNoArgs (class in flatsurf.cache) canonical_first_vertex() (in module flatsurf.geometry.mappings) canonicalize() (flatsurf.geometry.categories.translation_surfaces.TranslationSurfaces.FiniteType.WithoutBoundary.ParentMethods method) canonicalize_mapping() (flatsurf.geometry.categories.translation_surfaces.TranslationSurfaces.ParentMethods method) canonicalize_translation_surface_mapping() (in module flatsurf.geometry.mappings) CanonicalizePolygonsMapping (class in flatsurf.geometry.mappings) cardinality() (flatsurf.geometry.finitely_generated_matrix_group.FinitelyGenerated2x2MatrixGroup method) cartesian() (flatsurf.graphical.hyperbolic.HyperbolicPathPlotCommand method) CartesianPathPlot (class in flatsurf.graphical.hyperbolic) CartesianPathPlotCommand (class in flatsurf.graphical.hyperbolic) cathedral() (flatsurf.geometry.similarity_surface_generators.TranslationSurfaceGenerators static method) ccw() (flatsurf.geometry.hyperbolic.HyperbolicOrientedGeodesic method) (in module flatsurf.geometry.euclidean) center() (flatsurf.geometry.circle.Circle method) centroid() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.ParentMethods method) chain() (flatsurf.geometry.homology.SimplicialHomologyClass method) chain_module() (flatsurf.geometry.homology.SimplicialHomologyGroup method) chamanara() (flatsurf.geometry.similarity_surface_generators.TranslationSurfaceGenerators static method) chamanara_half_dilation_surface() (in module flatsurf.geometry.chamanara) chamanara_surface() (in module flatsurf.geometry.chamanara) ChamanaraPolygon() (in module flatsurf.geometry.chamanara) ChamanaraSurface (class in flatsurf.geometry.chamanara) ChamanaraTranslationSurface (class in flatsurf.geometry.chamanara) change() (flatsurf.geometry.homology.SimplicialHomologyGroup method) (flatsurf.geometry.hyperbolic.HyperbolicConvexPolygon method) (flatsurf.geometry.hyperbolic.HyperbolicConvexSet method) (flatsurf.geometry.hyperbolic.HyperbolicEmptySet method) (flatsurf.geometry.hyperbolic.HyperbolicGeodesic method) (flatsurf.geometry.hyperbolic.HyperbolicHalfSpace method) (flatsurf.geometry.hyperbolic.HyperbolicPointFromCoordinates method) (flatsurf.geometry.hyperbolic.HyperbolicPointFromGeodesic method) (flatsurf.geometry.hyperbolic.HyperbolicSegment method) change_base_label() (flatsurf.geometry.surface.MutablePolygonalSurface method) (flatsurf.geometry.surface_legacy.Surface method) (flatsurf.geometry.surface_legacy.Surface_list method) change_edge_gluing() (flatsurf.geometry.surface.MutableOrientedSimilaritySurface method) (flatsurf.geometry.surface_legacy.Surface method) change_polygon() (flatsurf.geometry.surface.MutableOrientedSimilaritySurface method) (flatsurf.geometry.surface_legacy.Surface method) change_polygon_gluings() (flatsurf.geometry.surface.MutableOrientedSimilaritySurface method) (flatsurf.geometry.surface_legacy.Surface method) change_ring() (flatsurf.geometry.categories.polygons.Polygons.ParentMethods method) (flatsurf.geometry.categories.polygons.Polygons.SubcategoryMethods method) (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) (flatsurf.geometry.hyperbolic.HyperbolicConvexSet method) (flatsurf.geometry.hyperbolic.HyperbolicEpsilonGeometry method) (flatsurf.geometry.hyperbolic.HyperbolicExactGeometry method) (flatsurf.geometry.hyperbolic.HyperbolicGeometry method) (flatsurf.geometry.hyperbolic.HyperbolicPlane method) (flatsurf.geometry.polygon.EuclideanPolygon method) (flatsurf.geometry.surface.BaseRingChangedSurface method) chebyshev_T() (in module flatsurf.geometry.subfield) Circle (class in flatsurf.geometry.circle) circle_from_three_points() (in module flatsurf.geometry.circle) circumference() (flatsurf.geometry.surface_objects.Cylinder method) circumscribed_circle() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.Simple.Convex.ParentMethods method) circumscribing_circle() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.Simple.Convex.ParentMethods method) classify_point() (flatsurf.geometry.hyperbolic.HyperbolicGeometry method) clockwise_edge() (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentBundle method) clockwise_to() (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentVector method) closest_point_on_line() (flatsurf.geometry.circle.Circle method) cmp() (flatsurf.geometry.polygon.EuclideanPolygon method) (flatsurf.geometry.surface.MutableOrientedSimilaritySurface method) code (flatsurf.graphical.hyperbolic.CartesianPathPlotCommand attribute) (flatsurf.graphical.hyperbolic.HyperbolicPathPlotCommand attribute) coding() (flatsurf.geometry.straight_line_trajectory.AbstractStraightLineTrajectory method) codomain() (flatsurf.geometry.mappings.SurfaceMapping method) (flatsurf.geometry.pyflatsurf.conversion.Conversion method) coefficient() (flatsurf.geometry.homology.SimplicialHomologyClass method) coefficients() (flatsurf.geometry.homology.SimplicialHomologyClass method) cohomology() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.ParentMethods method) combinatorial_length() (flatsurf.geometry.straight_line_trajectory.AbstractStraightLineTrajectory method) (flatsurf.geometry.straight_line_trajectory.StraightLineTrajectory method) (flatsurf.geometry.straight_line_trajectory.StraightLineTrajectoryTranslation method) component() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.ParentMethods method) ComponentLabels (class in flatsurf.geometry.surface) components() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.ParentMethods method) (flatsurf.geometry.surface.MutablePolygonalSurface method) CompositionMorphism (class in flatsurf.geometry.morphism) ConeSurface() (in module flatsurf.geometry.surface_legacy) ConeSurfaces (class in flatsurf.geometry.categories.cone_surfaces) ConeSurfaces.FiniteType (class in flatsurf.geometry.categories.cone_surfaces) ConeSurfaces.FiniteType.Oriented (class in flatsurf.geometry.categories.cone_surfaces) ConeSurfaces.FiniteType.Oriented.ParentMethods (class in flatsurf.geometry.categories.cone_surfaces) ConeSurfaces.FiniteType.Oriented.WithoutBoundary (class in flatsurf.geometry.categories.cone_surfaces) ConeSurfaces.FiniteType.Oriented.WithoutBoundary.Connected (class in flatsurf.geometry.categories.cone_surfaces) ConeSurfaces.FiniteType.Oriented.WithoutBoundary.Connected.ParentMethods (class in flatsurf.geometry.categories.cone_surfaces) ConeSurfaces.FiniteType.ParentMethods (class in flatsurf.geometry.categories.cone_surfaces) ConeSurfaces.ParentMethods (class in flatsurf.geometry.categories.cone_surfaces) ConeSurfaceToPolyhedronMap (class in flatsurf.geometry.polyhedra) contains() (flatsurf.graphical.polygon.GraphicalPolygon method) contains_definite_form() (in module flatsurf.geometry.finitely_generated_matrix_group) contains_point() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.Simple.Convex.ParentMethods method) contains_vertex() (flatsurf.geometry.surface_objects.SurfacePoint method) Conversion (class in flatsurf.geometry.pyflatsurf.conversion) Convex() (flatsurf.geometry.categories.polygons.Polygons.SubcategoryMethods method) convex_hull() (flatsurf.geometry.hyperbolic.HyperbolicHalfSpaces static method) (flatsurf.geometry.hyperbolic.HyperbolicPlane method) convexity() (flatsurf.geometry.categories.euclidean_polygons_with_angles.EuclideanPolygonsWithAngles.SubcategoryMethods method) ConvexPolygons() (in module flatsurf.geometry.polygon) coordinates() (flatsurf.geometry.hyperbolic.HyperbolicPoint method) (flatsurf.geometry.surface_objects.SurfacePoint method) copy() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) (flatsurf.graphical.polygon.GraphicalPolygon method) (flatsurf.graphical.surface.GraphicalSurface method) cos_minpoly() (in module flatsurf.geometry.subfield) cos_minpoly_odd_prime() (in module flatsurf.geometry.subfield) counterclockwise_to() (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentVector method) create_move_cartesian() (flatsurf.graphical.hyperbolic.HyperbolicPathPlotCommand static method) create_segment_cartesian() (flatsurf.graphical.hyperbolic.HyperbolicPathPlotCommand static method) Cylinder (class in flatsurf.geometry.surface_objects) cylinder() (flatsurf.geometry.straight_line_trajectory.AbstractStraightLineTrajectory method) cylinder_circumference() (flatsurf.geometry.gl2r_orbit_closure.GL2ROrbitClosure method) cylinder_deformation_subspace() (flatsurf.geometry.gl2r_orbit_closure.GL2ROrbitClosure method) cylinder_intersection_matrix() (flatsurf.geometry.thurston_veech.ThurstonVeech method) D decomposition() (flatsurf.geometry.gl2r_orbit_closure.GL2ROrbitClosure method) decompositions() (flatsurf.geometry.gl2r_orbit_closure.GL2ROrbitClosure method) decompositions_breadth_first() (flatsurf.geometry.gl2r_orbit_closure.GL2ROrbitClosure method) decompositions_depth_first() (flatsurf.geometry.gl2r_orbit_closure.GL2ROrbitClosure method) degree() (flatsurf.geometry.homology.SimplicialHomologyGroup method) delaunay_decompose() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) delaunay_decomposition() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) delaunay_decomposition_mapping() (in module flatsurf.geometry.mappings) delaunay_single_flip() (flatsurf.geometry.surface.MutableOrientedSimilaritySurface method) delaunay_triangulate() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) delaunay_triangulation() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) delaunay_triangulation_mapping() (in module flatsurf.geometry.mappings) DelaunayDecompositionIsomorphism (class in flatsurf.geometry.morphism) DelaunayDecompositionMorphism (class in flatsurf.geometry.morphism) DelaunayTriangulationMorphism (class in flatsurf.geometry.morphism) DelaunayTriangulationMorphism_delaunay_decomposition (class in flatsurf.geometry.morphism) derivative() (flatsurf.geometry.similarity.Similarity method) (flatsurf.geometry.veech_group.AffineAutomorphismGroup_generic method) DerivativeMap (class in flatsurf.geometry.veech_group) describe_polygon() (flatsurf.geometry.categories.polygons.Polygons.ParentMethods method) det() (flatsurf.geometry.similarity.Similarity method) differs_by_scaling() (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentVector method) DilationSurface() (in module flatsurf.geometry.surface_legacy) DilationSurfaceGenerators (class in flatsurf.geometry.similarity_surface_generators) DilationSurfaces (class in flatsurf.geometry.categories.dilation_surfaces) DilationSurfaces.FiniteType (class in flatsurf.geometry.categories.dilation_surfaces) DilationSurfaces.FiniteType.ParentMethods (class in flatsurf.geometry.categories.dilation_surfaces) DilationSurfaces.ParentMethods (class in flatsurf.geometry.categories.dilation_surfaces) DilationSurfaces.Positive (class in flatsurf.geometry.categories.dilation_surfaces) DilationSurfaces.Positive.ParentMethods (class in flatsurf.geometry.categories.dilation_surfaces) DilationSurfaces.SubcategoryMethods (class in flatsurf.geometry.categories.dilation_surfaces) dimension() (flatsurf.geometry.gl2r_orbit_closure.GL2ROrbitClosure method) (flatsurf.geometry.hyperbolic.HyperbolicConvexPolygon method) (flatsurf.geometry.hyperbolic.HyperbolicConvexSet method) (flatsurf.geometry.hyperbolic.HyperbolicEmptySet method) (flatsurf.geometry.hyperbolic.HyperbolicGeodesic method) (flatsurf.geometry.hyperbolic.HyperbolicHalfSpace method) (flatsurf.geometry.hyperbolic.HyperbolicPoint method) (flatsurf.geometry.hyperbolic.HyperbolicSegment method) direction() (flatsurf.geometry.surface_objects.SaddleConnection method) domain() (flatsurf.geometry.mappings.SurfaceMapping method) (flatsurf.geometry.pyflatsurf.conversion.Conversion method) down() (flatsurf.geometry.mega_wollmilchsau.MegaWollmilchsau method) (flatsurf.geometry.origami.AbstractOrigami method) (flatsurf.geometry.origami.Origami method) E e_infinity_surface() (flatsurf.geometry.similarity_surface_generators.TranslationSurfaceGenerators static method) edge() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.ParentMethods method) (flatsurf.geometry.straight_line_trajectory.SegmentInPolygon method) (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentBundle method) edge_back() (flatsurf.geometry.surface_legacy.LabelWalker method) edge_gluing_iterator() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.ParentMethods method) EDGE_INTERIOR (flatsurf.geometry.polygon.PolygonPosition attribute) edge_iterator() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.ParentMethods method) (flatsurf.geometry.surface_legacy.LabelWalker method) edge_label_options (flatsurf.graphical.surface.GraphicalSurface attribute) edge_labels() (flatsurf.graphical.surface.GraphicalSurface method) edge_matrix() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) (flatsurf.geometry.categories.translation_surfaces.TranslationSurfaces.ParentMethods method) edge_pointing_along() (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentVector method) edge_transformation() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) Edges (class in flatsurf.geometry.surface) edges() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.ParentMethods method) (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.ElementMethods method) (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.ParentMethods method) (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ElementMethods method) (flatsurf.geometry.hyperbolic.HyperbolicConvexPolygon method) (flatsurf.geometry.hyperbolic.HyperbolicConvexSet method) (flatsurf.geometry.surface_objects.Cylinder method) edges_ccw() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ElementMethods method) EInfinitySurface (class in flatsurf.geometry.similarity_surface_generators) Element (flatsurf.geometry.cohomology.SimplicialCohomologyGroup attribute) (flatsurf.geometry.fundamental_group.FundamentalGroup attribute) (flatsurf.geometry.homology.SimplicialHomologyGroup attribute) (flatsurf.geometry.mega_wollmilchsau.MegaWollmilchsauGroup attribute) (flatsurf.geometry.polygon.EuclideanPolygon attribute) (flatsurf.geometry.similarity.SimilarityGroup attribute) (flatsurf.geometry.surface.OrientedSimilaritySurface attribute) empty_set() (flatsurf.geometry.hyperbolic.HyperbolicPlane method) end() (flatsurf.geometry.hyperbolic.HyperbolicOrientedGeodesic method) (flatsurf.geometry.hyperbolic.HyperbolicOrientedSegment method) (flatsurf.geometry.straight_line_trajectory.SegmentInPolygon method) (flatsurf.graphical.straight_line_trajectory.GraphicalSegmentInPolygon method) end_data() (flatsurf.geometry.surface_objects.SaddleConnection method) end_direction() (flatsurf.geometry.surface_objects.SaddleConnection method) end_holonomy() (flatsurf.geometry.surface_objects.SaddleConnection method) end_is_singular() (flatsurf.geometry.straight_line_trajectory.SegmentInPolygon method) end_tangent_vector() (flatsurf.geometry.surface_objects.SaddleConnection method) equation() (flatsurf.geometry.hyperbolic.HyperbolicGeodesic method) (flatsurf.geometry.hyperbolic.HyperbolicHalfSpace method) EquiangularPolygons() (in module flatsurf.geometry.polygon) erase_marked_points() (flatsurf.geometry.categories.translation_surfaces.TranslationSurfaces.FiniteType.WithoutBoundary.ParentMethods method) erase_marked_vertices() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.ParentMethods method) EuclideanPolygon (class in flatsurf.geometry.polygon) EuclideanPolygonalSurfaces (class in flatsurf.geometry.categories.euclidean_polygonal_surfaces) EuclideanPolygonalSurfaces.ParentMethods (class in flatsurf.geometry.categories.euclidean_polygonal_surfaces) EuclideanPolygonPoint (class in flatsurf.geometry.polygon) EuclideanPolygons (class in flatsurf.geometry.categories.euclidean_polygons) EuclideanPolygons.Convex (class in flatsurf.geometry.categories.euclidean_polygons) EuclideanPolygons.Convex.ParentMethods (class in flatsurf.geometry.categories.euclidean_polygons) EuclideanPolygons.ParentMethods (class in flatsurf.geometry.categories.euclidean_polygons) EuclideanPolygons.Rational (class in flatsurf.geometry.categories.euclidean_polygons) EuclideanPolygons.Simple (class in flatsurf.geometry.categories.euclidean_polygons) EuclideanPolygons.Simple.Convex (class in flatsurf.geometry.categories.euclidean_polygons) EuclideanPolygons.Simple.Convex.ParentMethods (class in flatsurf.geometry.categories.euclidean_polygons) EuclideanPolygons.Simple.ParentMethods (class in flatsurf.geometry.categories.euclidean_polygons) EuclideanPolygons.SubcategoryMethods (class in flatsurf.geometry.categories.euclidean_polygons) EuclideanPolygonsWithAngles (class in flatsurf.geometry.categories.euclidean_polygons_with_angles) EuclideanPolygonsWithAngles() (in module flatsurf.geometry.polygon) EuclideanPolygonsWithAngles.ParentMethods (class in flatsurf.geometry.categories.euclidean_polygons_with_angles) EuclideanPolygonsWithAngles.Simple (class in flatsurf.geometry.categories.euclidean_polygons_with_angles) EuclideanPolygonsWithAngles.SubcategoryMethods (class in flatsurf.geometry.categories.euclidean_polygons_with_angles) euler_characteristic() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.FiniteType.Oriented.ParentMethods method) example() (flatsurf.geometry.similarity_surface_generators.SimilaritySurfaceGenerators static method) extra_super_categories() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.FiniteType method) (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.Oriented method) (flatsurf.geometry.categories.translation_surfaces.TranslationSurfaces method) ExtraLabel (class in flatsurf.geometry.surface_legacy) F factors() (flatsurf.geometry.mappings.SurfaceMappingComposition method) field() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.ParentMethods method) (flatsurf.geometry.categories.polygons.Polygons.SubcategoryMethods method) (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentBundle method) field_of_definition() (flatsurf.geometry.gl2r_orbit_closure.GL2ROrbitClosure method) find_a_new_label() (flatsurf.geometry.surface_legacy.LabelWalker method) find_all_labels() (flatsurf.geometry.surface_legacy.LabelWalker method) find_new_labels() (flatsurf.geometry.surface_legacy.LabelWalker method) find_separatrix() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.Simple.Convex.ParentMethods method) FinitelyGenerated2x2MatrixGroup (class in flatsurf.geometry.finitely_generated_matrix_group) FiniteType() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.SubcategoryMethods method) fix_unwrap_intrusive_ptr() (flatsurf.features.PyeanticModule static method) flat_triangulation() (flatsurf.geometry.pyflatsurf.surface.Surface_pyflatsurf method) flatsurf.cache module flatsurf.features module flatsurf.geometry module flatsurf.geometry.categories module flatsurf.geometry.categories.cone_surfaces module flatsurf.geometry.categories.dilation_surfaces module flatsurf.geometry.categories.euclidean_polygonal_surfaces module flatsurf.geometry.categories.euclidean_polygons module flatsurf.geometry.categories.euclidean_polygons_with_angles module flatsurf.geometry.categories.half_translation_surfaces module flatsurf.geometry.categories.hyperbolic_polygons module flatsurf.geometry.categories.polygonal_surfaces module flatsurf.geometry.categories.polygons module flatsurf.geometry.categories.similarity_surfaces module flatsurf.geometry.categories.surface_category module flatsurf.geometry.categories.topological_surfaces module flatsurf.geometry.categories.translation_surfaces module flatsurf.geometry.chamanara module flatsurf.geometry.circle module flatsurf.geometry.cohomology module flatsurf.geometry.euclidean module flatsurf.geometry.finitely_generated_matrix_group module flatsurf.geometry.fundamental_group module flatsurf.geometry.gl2r_orbit_closure module flatsurf.geometry.homology module flatsurf.geometry.hyperbolic module flatsurf.geometry.interval_exchange_transformation module flatsurf.geometry.l_infinity_delaunay_cells module flatsurf.geometry.lazy module flatsurf.geometry.mappings module flatsurf.geometry.mega_wollmilchsau module flatsurf.geometry.minimal_cover module flatsurf.geometry.morphism module flatsurf.geometry.origami module flatsurf.geometry.polygon module flatsurf.geometry.polyhedra module flatsurf.geometry.pyflatsurf module flatsurf.geometry.pyflatsurf.conversion module flatsurf.geometry.pyflatsurf.morphism module flatsurf.geometry.pyflatsurf.surface module flatsurf.geometry.pyflatsurf_conversion module flatsurf.geometry.similarity module flatsurf.geometry.similarity_surface_generators module flatsurf.geometry.straight_line_trajectory module flatsurf.geometry.subfield module flatsurf.geometry.surface module flatsurf.geometry.surface_legacy module flatsurf.geometry.surface_objects module flatsurf.geometry.tangent_bundle module flatsurf.geometry.thurston_veech module flatsurf.geometry.veech_group module flatsurf.graphical module flatsurf.graphical.hyperbolic module flatsurf.graphical.polygon module flatsurf.graphical.straight_line_trajectory module flatsurf.graphical.surface module flatsurf.graphical.surface_point module FlatTriangulationConversion (class in flatsurf.geometry.pyflatsurf.conversion) flip_edge_mapping() (in module flatsurf.geometry.mappings) flipper_nf_element_to_sage() (in module flatsurf.geometry.similarity_surface_generators) flipper_nf_to_sage() (in module flatsurf.geometry.similarity_surface_generators) flow() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.Simple.Convex.ParentMethods method) (flatsurf.geometry.straight_line_trajectory.StraightLineTrajectory method) (flatsurf.geometry.straight_line_trajectory.StraightLineTrajectoryTranslation method) flow_decomposition_kontsevich_zorich_cocycle() (flatsurf.geometry.gl2r_orbit_closure.GL2ROrbitClosure method) flow_map() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.Simple.Convex.ParentMethods method) flow_to_exit() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.Simple.Convex.ParentMethods method) FlowPolygonMap (class in flatsurf.geometry.interval_exchange_transformation) forward_image() (flatsurf.geometry.interval_exchange_transformation.FlowPolygonMap method) forward_to_polygon_boundary() (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentVector method) from_flipper() (flatsurf.geometry.similarity_surface_generators.TranslationSurfaceGenerators static method) from_pyflatsurf() (flatsurf.geometry.pyflatsurf.conversion.Conversion class method) (flatsurf.geometry.pyflatsurf.conversion.FlatTriangulationConversion class method) (flatsurf.geometry.pyflatsurf.conversion.RingConversion class method) (in module flatsurf.geometry.pyflatsurf.conversion) from_pyflatsurf_from_elements() (flatsurf.geometry.pyflatsurf.conversion.RingConversion class method) (flatsurf.geometry.pyflatsurf.conversion.VectorSpaceConversion class method) from_pyflatsurf_from_flat_triangulation() (flatsurf.geometry.pyflatsurf.conversion.RingConversion class method) from_surface() (flatsurf.geometry.surface.MutableOrientedSimilaritySurface class method) fundamental_group() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.FiniteType.Oriented.ParentMethods method) FundamentalGroup (class in flatsurf.geometry.fundamental_group) G gen() (flatsurf.geometry.finitely_generated_matrix_group.FinitelyGenerated2x2MatrixGroup method) gens() (flatsurf.geometry.cohomology.SimplicialCohomologyGroup method) (flatsurf.geometry.fundamental_group.FundamentalGroup method) (flatsurf.geometry.homology.SimplicialHomologyGroup method) (flatsurf.geometry.mega_wollmilchsau.MegaWollmilchsauGroup method) (flatsurf.geometry.veech_group.VeechGroup_generic method) genus() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.Oriented.WithoutBoundary.Connected.ParentMethods method) (flatsurf.geometry.categories.topological_surfaces.TopologicalSurfaces.ParentMethods method) genus_two_square() (flatsurf.geometry.similarity_surface_generators.DilationSurfaceGenerators static method) geodesic() (flatsurf.geometry.hyperbolic.HyperbolicGeodesic method) (flatsurf.geometry.hyperbolic.HyperbolicPlane method) (flatsurf.geometry.hyperbolic.HyperbolicSegment method) get_black() (flatsurf.geometry.similarity_surface_generators.EInfinitySurface method) get_edge() (flatsurf.geometry.polygon.PolygonPosition method) get_linearity_coeff() (in module flatsurf.geometry.straight_line_trajectory) get_minmax_data() (flatsurf.graphical.hyperbolic.CartesianPathPlot method) get_point_position() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.ParentMethods method) get_position_type() (flatsurf.geometry.polygon.PolygonPosition method) get_surface() (flatsurf.graphical.surface.GraphicalSurface method) get_vertex() (flatsurf.geometry.polygon.PolygonPosition method) get_white() (flatsurf.geometry.similarity_surface_generators.EInfinitySurface method) GL2RImageSurface (class in flatsurf.geometry.lazy) GL2RMapping (class in flatsurf.geometry.mappings) GL2RMorphism (class in flatsurf.geometry.morphism) GL2ROrbitClosure (class in flatsurf.geometry.gl2r_orbit_closure) glue() (flatsurf.geometry.lazy.LazyMutableOrientedSimilaritySurface method) (flatsurf.geometry.surface.MutableOrientedSimilaritySurface method) glued_vertices() (flatsurf.geometry.mappings.SimilarityJoinPolygonsMapping method) Gluings (class in flatsurf.geometry.surface) gluings() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.ParentMethods method) graphical_polygon() (flatsurf.graphical.surface.GraphicalSurface method) graphical_surface() (flatsurf.geometry.categories.euclidean_polygonal_surfaces.EuclideanPolygonalSurfaces.ParentMethods method) (flatsurf.geometry.chamanara.ChamanaraSurface method) (flatsurf.geometry.chamanara.ChamanaraTranslationSurface method) (flatsurf.geometry.surface_legacy.Surface method) graphical_surface_point() (flatsurf.geometry.surface_objects.SurfacePoint method) graphical_trajectory() (flatsurf.geometry.straight_line_trajectory.AbstractStraightLineTrajectory method) GraphicalPolygon (class in flatsurf.graphical.polygon) GraphicalSegmentInPolygon (class in flatsurf.graphical.straight_line_trajectory) GraphicalStraightLineTrajectory (class in flatsurf.graphical.straight_line_trajectory) GraphicalSurface (class in flatsurf.graphical.surface) GraphicalSurfacePoint (class in flatsurf.graphical.surface_point) H half_circle() (flatsurf.geometry.hyperbolic.HyperbolicGeometry method) (flatsurf.geometry.hyperbolic.HyperbolicPlane method) half_space() (flatsurf.geometry.hyperbolic.HyperbolicPlane method) half_spaces() (flatsurf.geometry.hyperbolic.HyperbolicConvexPolygon method) (flatsurf.geometry.hyperbolic.HyperbolicConvexSet method) (flatsurf.geometry.hyperbolic.HyperbolicEmptySet method) (flatsurf.geometry.hyperbolic.HyperbolicGeodesic method) (flatsurf.geometry.hyperbolic.HyperbolicHalfSpace method) (flatsurf.geometry.hyperbolic.HyperbolicPoint method) (flatsurf.geometry.hyperbolic.HyperbolicSegment method) HalfDilationSurface() (in module flatsurf.geometry.surface_legacy) HalfTranslationSurface() (in module flatsurf.geometry.surface_legacy) HalfTranslationSurfaceGenerators (class in flatsurf.geometry.similarity_surface_generators) HalfTranslationSurfaces (class in flatsurf.geometry.categories.half_translation_surfaces) HalfTranslationSurfaces.Orientable (class in flatsurf.geometry.categories.half_translation_surfaces) HalfTranslationSurfaces.Orientable.WithoutBoundary (class in flatsurf.geometry.categories.half_translation_surfaces) HalfTranslationSurfaces.Orientable.WithoutBoundary.ParentMethods (class in flatsurf.geometry.categories.half_translation_surfaces) HalfTranslationSurfaces.Oriented (class in flatsurf.geometry.categories.half_translation_surfaces) HalfTranslationSurfaces.Oriented.FiniteType (class in flatsurf.geometry.categories.half_translation_surfaces) HalfTranslationSurfaces.Oriented.FiniteType.ParentMethods (class in flatsurf.geometry.categories.half_translation_surfaces) HalfTranslationSurfaces.Oriented.ParentMethods (class in flatsurf.geometry.categories.half_translation_surfaces) HalfTranslationSurfaces.ParentMethods (class in flatsurf.geometry.categories.half_translation_surfaces) hide() (flatsurf.graphical.surface.GraphicalSurface method) holonomy() (flatsurf.geometry.gl2r_orbit_closure.GL2ROrbitClosure method) (flatsurf.geometry.surface_objects.Cylinder method) (flatsurf.geometry.surface_objects.SaddleConnection method) holonomy_dual() (flatsurf.geometry.gl2r_orbit_closure.GL2ROrbitClosure method) holonomy_field() (flatsurf.geometry.categories.half_translation_surfaces.HalfTranslationSurfaces.Oriented.ParentMethods method) hom() (flatsurf.geometry.homology.SimplicialHomologyGroup method) homology() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.ParentMethods method) (flatsurf.geometry.cohomology.SimplicialCohomologyGroup method) hyperbolic_path() (in module flatsurf.graphical.hyperbolic) HyperbolicConvexFacade (class in flatsurf.geometry.hyperbolic) HyperbolicConvexPolygon (class in flatsurf.geometry.hyperbolic) HyperbolicConvexSet (class in flatsurf.geometry.hyperbolic) HyperbolicEdges (class in flatsurf.geometry.hyperbolic) HyperbolicEmptySet (class in flatsurf.geometry.hyperbolic) HyperbolicEpsilonGeometry (class in flatsurf.geometry.hyperbolic) HyperbolicExactGeometry (class in flatsurf.geometry.hyperbolic) HyperbolicGeodesic (class in flatsurf.geometry.hyperbolic) HyperbolicGeometry (class in flatsurf.geometry.hyperbolic) HyperbolicHalfSpace (class in flatsurf.geometry.hyperbolic) HyperbolicHalfSpaces (class in flatsurf.geometry.hyperbolic) HyperbolicOrientedConvexSet (class in flatsurf.geometry.hyperbolic) HyperbolicOrientedGeodesic (class in flatsurf.geometry.hyperbolic) HyperbolicOrientedSegment (class in flatsurf.geometry.hyperbolic) HyperbolicPathPlotCommand (class in flatsurf.graphical.hyperbolic) HyperbolicPlane (class in flatsurf.geometry.hyperbolic) HyperbolicPoint (class in flatsurf.geometry.hyperbolic) HyperbolicPointFromCoordinates (class in flatsurf.geometry.hyperbolic) HyperbolicPointFromGeodesic (class in flatsurf.geometry.hyperbolic) HyperbolicPolygons (class in flatsurf.geometry.categories.hyperbolic_polygons) HyperbolicSegment (class in flatsurf.geometry.hyperbolic) HyperbolicUnorientedGeodesic (class in flatsurf.geometry.hyperbolic) HyperbolicUnorientedSegment (class in flatsurf.geometry.hyperbolic) HyperbolicVertices (class in flatsurf.geometry.hyperbolic) I identity() (flatsurf.geometry.homology.SimplicialHomologyMorphismSpace method) (flatsurf.geometry.morphism.MorphismSpace method) (flatsurf.geometry.morphism.SurfaceMorphismSpace method) IdentityMapping (class in flatsurf.geometry.mappings) IdentityMorphism (class in flatsurf.geometry.morphism) imag() (flatsurf.geometry.hyperbolic.HyperbolicPoint method) infinite_staircase() (flatsurf.geometry.similarity_surface_generators.TranslationSurfaceGenerators static method) InfiniteType() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.SubcategoryMethods method) infinity() (flatsurf.geometry.hyperbolic.HyperbolicPlane method) initial_label() (flatsurf.geometry.surface_objects.Cylinder method) initial_tangent_vector() (flatsurf.geometry.straight_line_trajectory.AbstractStraightLineTrajectory method) INTERIOR (flatsurf.geometry.polygon.PolygonPosition attribute) intersection() (flatsurf.geometry.fundamental_group.Path method) (flatsurf.geometry.hyperbolic.HyperbolicConvexSet method) (flatsurf.geometry.hyperbolic.HyperbolicGeometry method) (flatsurf.geometry.hyperbolic.HyperbolicPlane method) (in module flatsurf.geometry.fundamental_group) intersections() (flatsurf.geometry.straight_line_trajectory.AbstractStraightLineTrajectory method) (flatsurf.geometry.surface_objects.SaddleConnection method) intersects() (flatsurf.geometry.straight_line_trajectory.AbstractStraightLineTrajectory method) (flatsurf.geometry.surface_objects.SaddleConnection method) invariant_quadratic_forms() (in module flatsurf.geometry.finitely_generated_matrix_group) invert() (flatsurf.geometry.straight_line_trajectory.SegmentInPolygon method) (flatsurf.geometry.surface_objects.SaddleConnection method) (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentVector method) is_abelian() (flatsurf.geometry.finitely_generated_matrix_group.FinitelyGenerated2x2MatrixGroup method) (flatsurf.geometry.mega_wollmilchsau.MegaWollmilchsauGroup method) (flatsurf.geometry.similarity.SimilarityGroup method) is_absolute() (flatsurf.geometry.cohomology.SimplicialCohomologyGroup method) (flatsurf.geometry.homology.SimplicialHomologyGroup method) is_adjacent() (flatsurf.graphical.surface.GraphicalSurface method) is_anti_parallel() (in module flatsurf.geometry.euclidean) is_backward_separatrix() (flatsurf.geometry.straight_line_trajectory.StraightLineTrajectory method) (flatsurf.geometry.straight_line_trajectory.StraightLineTrajectoryTranslation method) is_based_at_singularity() (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentVector method) is_between() (in module flatsurf.geometry.euclidean) is_closed() (flatsurf.geometry.straight_line_trajectory.AbstractStraightLineTrajectory method) (flatsurf.geometry.straight_line_trajectory.StraightLineTrajectory method) (flatsurf.geometry.straight_line_trajectory.StraightLineTrajectoryTranslation method) is_compact() (flatsurf.geometry.categories.topological_surfaces.TopologicalSurfaces.Compact.ParentMethods method) (flatsurf.geometry.categories.topological_surfaces.TopologicalSurfaces.ParentMethods method) (flatsurf.geometry.lazy.LazyDelaunaySurface method) (flatsurf.geometry.lazy.LazyDelaunayTriangulatedSurface method) (flatsurf.geometry.lazy.LazyOrientedSimilaritySurface method) (flatsurf.geometry.lazy.LazyTriangulatedSurface method) (flatsurf.geometry.minimal_cover.MinimalPlanarCover method) (flatsurf.geometry.minimal_cover.MinimalTranslationCover method) (flatsurf.geometry.morphism.UnknownSurface method) (flatsurf.geometry.similarity_surface_generators.EInfinitySurface method) (flatsurf.geometry.surface_legacy.Surface_dict method) (flatsurf.geometry.surface_legacy.Surface_list method) is_cone_surface() (flatsurf.geometry.categories.cone_surfaces.ConeSurfaces.ParentMethods method) (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.ParentMethods method) (flatsurf.geometry.chamanara.ChamanaraSurface method) is_connected() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.ParentMethods method) (flatsurf.geometry.categories.topological_surfaces.TopologicalSurfaces.Connected.ParentMethods method) (flatsurf.geometry.categories.topological_surfaces.TopologicalSurfaces.ParentMethods method) is_convex() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.Convex.ParentMethods method) (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.ParentMethods method) (flatsurf.geometry.categories.euclidean_polygons_with_angles.EuclideanPolygonsWithAngles.ParentMethods method) (flatsurf.geometry.categories.euclidean_polygons_with_angles.EuclideanPolygonsWithAngles.SubcategoryMethods method) (flatsurf.geometry.categories.polygons.Polygons.Convex.ParentMethods method) (flatsurf.geometry.categories.polygons.Polygons.ParentMethods method) (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) is_cosine_sine_of_rational() (in module flatsurf.geometry.euclidean) is_degenerate() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.ParentMethods method) (flatsurf.geometry.categories.polygons.Polygons.ParentMethods method) (flatsurf.geometry.hyperbolic.HyperbolicConvexPolygon method) is_delaunay_decomposed() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) (flatsurf.geometry.lazy.LazyDelaunaySurface method) is_delaunay_triangulated() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) (flatsurf.geometry.lazy.LazyDelaunayTriangulatedSurface method) is_diameter() (flatsurf.geometry.hyperbolic.HyperbolicGeodesic method) is_dilation_surface() (flatsurf.geometry.categories.dilation_surfaces.DilationSurfaces.ParentMethods method) (flatsurf.geometry.categories.dilation_surfaces.DilationSurfaces.Positive.ParentMethods method) (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.ParentMethods method) (flatsurf.geometry.chamanara.ChamanaraSurface method) is_edge() (flatsurf.geometry.straight_line_trajectory.SegmentInPolygon method) is_embedded_subfield() (in module flatsurf.geometry.subfield) is_empty() (flatsurf.geometry.hyperbolic.HyperbolicConvexSet method) is_equiangular() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.ParentMethods method) is_equilateral() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.ParentMethods method) is_exact() (flatsurf.geometry.hyperbolic.HyperbolicPlane method) is_finite() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.ParentMethods method) (flatsurf.geometry.finitely_generated_matrix_group.FinitelyGenerated2x2MatrixGroup method) (flatsurf.geometry.hyperbolic.HyperbolicConvexSet method) (flatsurf.geometry.hyperbolic.HyperbolicPoint method) (flatsurf.geometry.hyperbolic.HyperbolicPointFromGeodesic method) is_finite_type() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.FiniteType.ParentMethods method) (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.InfiniteType.ParentMethods method) (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.ParentMethods method) (flatsurf.geometry.morphism.UnknownSurface method) (flatsurf.geometry.surface_legacy.Surface method) is_forward_separatrix() (flatsurf.geometry.straight_line_trajectory.StraightLineTrajectory method) (flatsurf.geometry.straight_line_trajectory.StraightLineTrajectoryTranslation method) is_half_translate() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.Simple.Convex.ParentMethods method) is_half_translation() (flatsurf.geometry.similarity.Similarity method) is_ideal() (flatsurf.geometry.hyperbolic.HyperbolicConvexSet method) (flatsurf.geometry.hyperbolic.HyperbolicGeodesic method) (flatsurf.geometry.hyperbolic.HyperbolicPoint method) (flatsurf.geometry.hyperbolic.HyperbolicPointFromGeodesic method) is_in_boundary() (flatsurf.geometry.polygon.PolygonPosition method) is_in_boundary_of_polygon() (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentVector method) is_in_edge_interior() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.ElementMethods method) (flatsurf.geometry.polygon.PolygonPosition method) is_in_interior() (flatsurf.geometry.polygon.PolygonPosition method) is_in_polygon_interior() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.ElementMethods method) is_inside() (flatsurf.geometry.polygon.PolygonPosition method) is_isometric() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.Simple.Convex.ParentMethods method) is_isometry() (flatsurf.geometry.similarity.Similarity method) is_mutable() (flatsurf.geometry.categories.topological_surfaces.TopologicalSurfaces.ParentMethods method) (flatsurf.geometry.chamanara.ChamanaraSurface method) (flatsurf.geometry.lazy.GL2RImageSurface method) (flatsurf.geometry.lazy.LazyDelaunaySurface method) (flatsurf.geometry.lazy.LazyDelaunayTriangulatedSurface method) (flatsurf.geometry.lazy.LazyMutableOrientedSimilaritySurface method) (flatsurf.geometry.lazy.LazyOrientedSimilaritySurface method) (flatsurf.geometry.lazy.LazyTriangulatedSurface method) (flatsurf.geometry.minimal_cover.MinimalHalfTranslationCover method) (flatsurf.geometry.minimal_cover.MinimalPlanarCover method) (flatsurf.geometry.minimal_cover.MinimalTranslationCover method) (flatsurf.geometry.morphism.UnknownSurface method) (flatsurf.geometry.origami.AbstractOrigami method) (flatsurf.geometry.pyflatsurf.surface.Surface_pyflatsurf method) (flatsurf.geometry.similarity_surface_generators.EInfinitySurface method) (flatsurf.geometry.similarity_surface_generators.TFractalSurface method) (flatsurf.geometry.surface.BaseRingChangedSurface method) (flatsurf.geometry.surface.MutablePolygonalSurface method) (flatsurf.geometry.surface_legacy.Surface method) is_one() (flatsurf.geometry.fundamental_group.Path method) is_orientable() (flatsurf.geometry.categories.topological_surfaces.TopologicalSurfaces.Orientable.ParentMethods method) (flatsurf.geometry.categories.topological_surfaces.TopologicalSurfaces.ParentMethods method) (flatsurf.geometry.similarity.Similarity method) is_oriented() (flatsurf.geometry.hyperbolic.HyperbolicConvexSet method) is_outside() (flatsurf.geometry.polygon.PolygonPosition method) is_parallel() (in module flatsurf.geometry.euclidean) is_point() (flatsurf.geometry.hyperbolic.HyperbolicConvexSet method) is_rational() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.ParentMethods method) (flatsurf.geometry.categories.polygons.Polygons.Rational.ParentMethods method) is_rational_surface() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.ParentMethods method) (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Rational.ParentMethods method) is_rotation() (flatsurf.geometry.similarity.Similarity method) is_saddle_connection() (flatsurf.geometry.straight_line_trajectory.StraightLineTrajectory method) (flatsurf.geometry.straight_line_trajectory.StraightLineTrajectoryTranslation method) is_segment_intersecting() (in module flatsurf.geometry.euclidean) is_simple() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.ParentMethods method) (flatsurf.geometry.categories.polygons.Polygons.ParentMethods method) (flatsurf.geometry.categories.polygons.Polygons.Simple.ParentMethods method) is_strictly_convex() (flatsurf.geometry.polygon.EuclideanPolygon method) is_subset() (flatsurf.geometry.hyperbolic.HyperbolicConvexSet method) is_teichmueller_curve() (flatsurf.geometry.gl2r_orbit_closure.GL2ROrbitClosure method) is_translate() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.Simple.Convex.ParentMethods method) is_translation() (flatsurf.geometry.similarity.Similarity method) is_translation_surface() (flatsurf.geometry.categories.half_translation_surfaces.HalfTranslationSurfaces.ParentMethods method) (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.ParentMethods method) (flatsurf.geometry.categories.translation_surfaces.TranslationSurfaces.ParentMethods method) (flatsurf.geometry.chamanara.ChamanaraSurface method) (flatsurf.geometry.lazy.LazyOrientedSimilaritySurface method) is_triangulated() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.FiniteType.ParentMethods method) (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.ParentMethods method) (flatsurf.geometry.lazy.GL2RImageSurface method) (flatsurf.geometry.lazy.LazyDelaunayTriangulatedSurface method) (flatsurf.geometry.lazy.LazyTriangulatedSurface method) (flatsurf.geometry.surface_legacy.Surface method) is_ultra_ideal() (flatsurf.geometry.hyperbolic.HyperbolicConvexSet method) (flatsurf.geometry.hyperbolic.HyperbolicGeodesic method) (flatsurf.geometry.hyperbolic.HyperbolicPoint method) (flatsurf.geometry.hyperbolic.HyperbolicPointFromGeodesic method) is_veering_triangulated() (flatsurf.geometry.categories.dilation_surfaces.DilationSurfaces.ParentMethods method) is_vertex() (flatsurf.geometry.polygon.PolygonPosition method) (flatsurf.geometry.surface_objects.SurfacePoint method) is_vertical() (flatsurf.geometry.hyperbolic.HyperbolicGeodesic method) is_visible() (flatsurf.graphical.surface.GraphicalSurface method) is_with_boundary() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.FiniteType.ParentMethods method) (flatsurf.geometry.categories.topological_surfaces.TopologicalSurfaces.ParentMethods method) (flatsurf.geometry.categories.topological_surfaces.TopologicalSurfaces.WithBoundary.ParentMethods method) (flatsurf.geometry.categories.topological_surfaces.TopologicalSurfaces.WithoutBoundary.ParentMethods method) (flatsurf.geometry.morphism.UnknownSurface method) isometry() (flatsurf.geometry.hyperbolic.HyperbolicPlane method) J j_invariant() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.Simple.Convex.ParentMethods method) (flatsurf.geometry.categories.translation_surfaces.TranslationSurfaces.FiniteType.WithoutBoundary.ParentMethods method) join() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.ParentMethods method) join_polygons() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) (flatsurf.geometry.surface.MutableOrientedSimilaritySurface method) L l_infinity_delaunay_triangulation() (flatsurf.geometry.categories.dilation_surfaces.DilationSurfaces.FiniteType.ParentMethods method) label_dictionary() (flatsurf.geometry.surface_legacy.LabelWalker method) label_iterator() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.ParentMethods method) (flatsurf.geometry.surface_legacy.Surface method) (flatsurf.geometry.surface_legacy.Surface_dict method) (flatsurf.geometry.surface_legacy.Surface_list method) label_polygon_iterator() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.ParentMethods method) (flatsurf.geometry.surface_legacy.LabelWalker method) label_to_number() (flatsurf.geometry.surface_legacy.LabelWalker method) LabeledCollection (class in flatsurf.geometry.surface) LabeledSet (class in flatsurf.geometry.surface) LabeledView (class in flatsurf.geometry.surface) Labels (class in flatsurf.geometry.surface) labels() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.ParentMethods method) (flatsurf.geometry.chamanara.ChamanaraSurface method) (flatsurf.geometry.lazy.LazyDelaunayTriangulatedSurface method) (flatsurf.geometry.lazy.LazyOrientedSimilaritySurface method) (flatsurf.geometry.lazy.LazyRelabeledSurface method) (flatsurf.geometry.lazy.LazyTriangulatedSurface method) (flatsurf.geometry.origami.AbstractOrigami method) (flatsurf.geometry.similarity_surface_generators.EInfinitySurface method) (flatsurf.geometry.similarity_surface_generators.TFractalSurface method) (flatsurf.geometry.surface.BaseRingChangedSurface method) (flatsurf.geometry.surface.MutablePolygonalSurface method) (flatsurf.geometry.surface_legacy.Surface method) (flatsurf.geometry.surface_objects.Cylinder method) (flatsurf.geometry.surface_objects.SurfacePoint method) LabelsFromView (class in flatsurf.geometry.surface) LabelsView (class in flatsurf.geometry.surface_legacy) LabelWalker (class in flatsurf.geometry.surface_legacy) LabelWalker.LabelWalkerIterator (class in flatsurf.geometry.surface_legacy) lanneau_nguyen_genus3_prototype() (flatsurf.geometry.similarity_surface_generators.TranslationSurfaceGenerators static method) lanneau_nguyen_genus4_prototype() (flatsurf.geometry.similarity_surface_generators.TranslationSurfaceGenerators static method) LazyDelaunaySurface (class in flatsurf.geometry.lazy) LazyDelaunayTriangulatedSurface (class in flatsurf.geometry.lazy) LazyMutableOrientedSimilaritySurface (class in flatsurf.geometry.lazy) LazyOrientedSimilaritySurface (class in flatsurf.geometry.lazy) LazyRelabeledSurface (class in flatsurf.geometry.lazy) LazyTriangulatedSurface (class in flatsurf.geometry.lazy) left() (flatsurf.geometry.mega_wollmilchsau.MegaWollmilchsau method) (flatsurf.geometry.origami.AbstractOrigami method) (flatsurf.geometry.origami.Origami method) left_half_space() (flatsurf.geometry.hyperbolic.HyperbolicOrientedGeodesic method) length() (flatsurf.geometry.surface_objects.SaddleConnection method) length_bot() (flatsurf.geometry.interval_exchange_transformation.FlowPolygonMap method) length_top() (flatsurf.geometry.interval_exchange_transformation.FlowPolygonMap method) lengths_polytope() (flatsurf.geometry.categories.euclidean_polygons_with_angles.EuclideanPolygonsWithAngles.SubcategoryMethods method) lift() (flatsurf.geometry.gl2r_orbit_closure.GL2ROrbitClosure method) line_intersection() (in module flatsurf.geometry.euclidean) line_position() (flatsurf.geometry.circle.Circle method) line_segment_position() (flatsurf.geometry.circle.Circle method) LInfinityMarkedTriangulation (class in flatsurf.geometry.l_infinity_delaunay_cells) M make_adjacent() (flatsurf.graphical.surface.GraphicalSurface method) make_all_visible() (flatsurf.graphical.surface.GraphicalSurface method) make_cartesian() (flatsurf.graphical.hyperbolic.HyperbolicPathPlotCommand static method) make_visible() (flatsurf.graphical.surface.GraphicalSurface method) matrix() (flatsurf.geometry.homology.SimplicialHomologyMorphism_base method) (flatsurf.geometry.similarity.Similarity method) matrix_multiplicative_order() (in module flatsurf.geometry.finitely_generated_matrix_group) mcmullen_genus2_prototype() (flatsurf.geometry.similarity_surface_generators.TranslationSurfaceGenerators static method) mcmullen_L() (flatsurf.geometry.similarity_surface_generators.TranslationSurfaceGenerators static method) MegaWollmilchsau (class in flatsurf.geometry.mega_wollmilchsau) MegaWollmilchsauGroup (class in flatsurf.geometry.mega_wollmilchsau) MegaWollmilchsauGroupElement (class in flatsurf.geometry.mega_wollmilchsau) midpoint() (flatsurf.geometry.hyperbolic.HyperbolicGeodesic method) (flatsurf.geometry.hyperbolic.HyperbolicSegment method) min() (flatsurf.geometry.surface.LabeledView method) minimal_cover() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) minimal_translation_cover() (flatsurf.geometry.categories.translation_surfaces.TranslationSurfaces.ParentMethods method) MinimalHalfTranslationCover (class in flatsurf.geometry.minimal_cover) MinimalPlanarCover (class in flatsurf.geometry.minimal_cover) MinimalTranslationCover (class in flatsurf.geometry.minimal_cover) module flatsurf.cache flatsurf.features flatsurf.geometry flatsurf.geometry.categories flatsurf.geometry.categories.cone_surfaces flatsurf.geometry.categories.dilation_surfaces flatsurf.geometry.categories.euclidean_polygonal_surfaces flatsurf.geometry.categories.euclidean_polygons flatsurf.geometry.categories.euclidean_polygons_with_angles flatsurf.geometry.categories.half_translation_surfaces flatsurf.geometry.categories.hyperbolic_polygons flatsurf.geometry.categories.polygonal_surfaces flatsurf.geometry.categories.polygons flatsurf.geometry.categories.similarity_surfaces flatsurf.geometry.categories.surface_category flatsurf.geometry.categories.topological_surfaces flatsurf.geometry.categories.translation_surfaces flatsurf.geometry.chamanara flatsurf.geometry.circle flatsurf.geometry.cohomology flatsurf.geometry.euclidean flatsurf.geometry.finitely_generated_matrix_group flatsurf.geometry.fundamental_group flatsurf.geometry.gl2r_orbit_closure flatsurf.geometry.homology flatsurf.geometry.hyperbolic flatsurf.geometry.interval_exchange_transformation flatsurf.geometry.l_infinity_delaunay_cells flatsurf.geometry.lazy flatsurf.geometry.mappings flatsurf.geometry.mega_wollmilchsau flatsurf.geometry.minimal_cover flatsurf.geometry.morphism flatsurf.geometry.origami flatsurf.geometry.polygon flatsurf.geometry.polyhedra flatsurf.geometry.pyflatsurf flatsurf.geometry.pyflatsurf.conversion flatsurf.geometry.pyflatsurf.morphism flatsurf.geometry.pyflatsurf.surface flatsurf.geometry.pyflatsurf_conversion flatsurf.geometry.similarity flatsurf.geometry.similarity_surface_generators flatsurf.geometry.straight_line_trajectory flatsurf.geometry.subfield flatsurf.geometry.surface flatsurf.geometry.surface_legacy flatsurf.geometry.surface_objects flatsurf.geometry.tangent_bundle flatsurf.geometry.thurston_veech flatsurf.geometry.veech_group flatsurf.graphical flatsurf.graphical.hyperbolic flatsurf.graphical.polygon flatsurf.graphical.straight_line_trajectory flatsurf.graphical.surface flatsurf.graphical.surface_point module() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.ParentMethods method) (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.SubcategoryMethods method) Morphism_Deformation (class in flatsurf.geometry.pyflatsurf.morphism) Morphism_from_pyflatsurf (class in flatsurf.geometry.pyflatsurf.morphism) Morphism_to_pyflatsurf (class in flatsurf.geometry.pyflatsurf.morphism) MorphismSpace (class in flatsurf.geometry.morphism) MutableOrientedSimilaritySurface (class in flatsurf.geometry.surface) MutableOrientedSimilaritySurface_base (class in flatsurf.geometry.surface) MutablePolygonalSurface (class in flatsurf.geometry.surface) my_sgn() (in module flatsurf.geometry.mappings) N NamedFactorizationMorphism (class in flatsurf.geometry.morphism) NamedUnknownMorphism (class in flatsurf.geometry.morphism) next() (flatsurf.geometry.straight_line_trajectory.SegmentInPolygon method) (flatsurf.geometry.surface_legacy.LabelWalker.LabelWalkerIterator method) (flatsurf.geometry.surface_objects.Cylinder method) ngens() (flatsurf.geometry.homology.SimplicialHomologyGroup method) non_adjacent_edge_options (flatsurf.graphical.surface.GraphicalSurface attribute) normalized_coordinates() (flatsurf.geometry.categories.half_translation_surfaces.HalfTranslationSurfaces.Oriented.FiniteType.ParentMethods method) num_coordinates() (flatsurf.geometry.surface_objects.SurfacePoint method) num_edges() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.ParentMethods method) (flatsurf.geometry.l_infinity_delaunay_cells.LInfinityMarkedTriangulation method) (flatsurf.geometry.polygon.EuclideanPolygon method) num_faces() (flatsurf.geometry.l_infinity_delaunay_cells.LInfinityMarkedTriangulation method) num_polygons() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.ParentMethods method) (flatsurf.geometry.surface_legacy.Surface method) (flatsurf.geometry.surface_legacy.Surface_dict method) (flatsurf.geometry.surface_legacy.Surface_list method) num_singularities() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.FiniteType.ParentMethods method) number_field_elements_from_algebraics() (in module flatsurf.geometry.subfield) number_to_label() (flatsurf.geometry.surface_legacy.LabelWalker method) O octagon_and_squares() (flatsurf.geometry.similarity_surface_generators.TranslationSurfaceGenerators static method) one() (flatsurf.geometry.finitely_generated_matrix_group.FinitelyGenerated2x2MatrixGroup method) (flatsurf.geometry.fundamental_group.FundamentalGroup method) (flatsurf.geometry.mega_wollmilchsau.MegaWollmilchsauGroup method) (flatsurf.geometry.similarity.SimilarityGroup method) one_delaunay_flip_mapping() (in module flatsurf.geometry.mappings) one_vertex() (flatsurf.geometry.surface_objects.SurfacePoint method) opposite_condition() (in module flatsurf.geometry.l_infinity_delaunay_cells) opposite_edge() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.ParentMethods method) (flatsurf.geometry.chamanara.ChamanaraSurface method) (flatsurf.geometry.l_infinity_delaunay_cells.LInfinityMarkedTriangulation method) (flatsurf.geometry.lazy.GL2RImageSurface method) (flatsurf.geometry.lazy.LazyDelaunaySurface method) (flatsurf.geometry.lazy.LazyDelaunayTriangulatedSurface method) (flatsurf.geometry.lazy.LazyMutableOrientedSimilaritySurface method) (flatsurf.geometry.lazy.LazyOrientedSimilaritySurface method) (flatsurf.geometry.lazy.LazyRelabeledSurface method) (flatsurf.geometry.lazy.LazyTriangulatedSurface method) (flatsurf.geometry.minimal_cover.MinimalHalfTranslationCover method) (flatsurf.geometry.minimal_cover.MinimalPlanarCover method) (flatsurf.geometry.minimal_cover.MinimalTranslationCover method) (flatsurf.geometry.morphism.UnknownSurface method) (flatsurf.geometry.origami.AbstractOrigami method) (flatsurf.geometry.origami.Origami method) (flatsurf.geometry.pyflatsurf.surface.Surface_pyflatsurf method) (flatsurf.geometry.similarity_surface_generators.EInfinitySurface method) (flatsurf.geometry.similarity_surface_generators.TFractalSurface method) (flatsurf.geometry.surface.BaseRingChangedSurface method) (flatsurf.geometry.surface.MutableOrientedSimilaritySurface method) (flatsurf.geometry.surface_legacy.Surface method) (flatsurf.geometry.surface_legacy.Surface_dict method) (flatsurf.geometry.surface_legacy.Surface_list method) (flatsurf.graphical.surface.GraphicalSurface method) OrderedSet (class in flatsurf.geometry.hyperbolic) Orientable() (flatsurf.geometry.categories.topological_surfaces.TopologicalSurfaces.SubcategoryMethods method) Oriented() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.SubcategoryMethods method) OrientedSimilaritySurface (class in flatsurf.geometry.surface) Origami (class in flatsurf.geometry.origami) origami() (flatsurf.geometry.similarity_surface_generators.TranslationSurfaceGenerators static method) other_intersection() (flatsurf.geometry.circle.Circle method) OUTSIDE (flatsurf.geometry.polygon.PolygonPosition attribute) P pairs() (flatsurf.geometry.hyperbolic.OrderedSet method) parametrize() (flatsurf.geometry.hyperbolic.HyperbolicOrientedGeodesic method) parent() (flatsurf.geometry.hyperbolic.HyperbolicConvexFacade method) (flatsurf.geometry.polygon.EuclideanPolygon method) Path (class in flatsurf.geometry.fundamental_group) perpendicular() (flatsurf.geometry.hyperbolic.HyperbolicGeodesic method) (flatsurf.geometry.hyperbolic.HyperbolicSegment method) platonic_cube() (in module flatsurf.geometry.polyhedra) platonic_dodecahedron() (in module flatsurf.geometry.polyhedra) platonic_icosahedron() (in module flatsurf.geometry.polyhedra) platonic_octahedron() (in module flatsurf.geometry.polyhedra) platonic_tetrahedron() (in module flatsurf.geometry.polyhedra) plot() (flatsurf.geometry.categories.euclidean_polygonal_surfaces.EuclideanPolygonalSurfaces.ParentMethods method) (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.ParentMethods method) (flatsurf.geometry.hyperbolic.HyperbolicConvexPolygon method) (flatsurf.geometry.hyperbolic.HyperbolicConvexSet method) (flatsurf.geometry.hyperbolic.HyperbolicEmptySet method) (flatsurf.geometry.hyperbolic.HyperbolicGeodesic method) (flatsurf.geometry.hyperbolic.HyperbolicHalfSpace method) (flatsurf.geometry.hyperbolic.HyperbolicPoint method) (flatsurf.geometry.hyperbolic.HyperbolicSegment method) (flatsurf.geometry.straight_line_trajectory.AbstractStraightLineTrajectory method) (flatsurf.geometry.surface_legacy.Surface method) (flatsurf.geometry.surface_objects.Cylinder method) (flatsurf.geometry.surface_objects.SaddleConnection method) (flatsurf.geometry.surface_objects.SurfacePoint method) (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentVector method) (flatsurf.graphical.straight_line_trajectory.GraphicalSegmentInPolygon method) (flatsurf.graphical.straight_line_trajectory.GraphicalStraightLineTrajectory method) (flatsurf.graphical.surface.GraphicalSurface method) (flatsurf.graphical.surface_point.GraphicalSurfacePoint method) plot_edge() (flatsurf.graphical.polygon.GraphicalPolygon method) (flatsurf.graphical.surface.GraphicalSurface method) plot_edge_label() (flatsurf.graphical.polygon.GraphicalPolygon method) (flatsurf.graphical.surface.GraphicalSurface method) plot_label() (flatsurf.graphical.polygon.GraphicalPolygon method) plot_points() (flatsurf.graphical.polygon.GraphicalPolygon method) plot_polygon() (flatsurf.geometry.categories.euclidean_polygonal_surfaces.EuclideanPolygonalSurfaces.ParentMethods method) (flatsurf.graphical.polygon.GraphicalPolygon method) (flatsurf.graphical.surface.GraphicalSurface method) plot_polygon_label() (flatsurf.graphical.surface.GraphicalSurface method) plot_zero_flag() (flatsurf.graphical.polygon.GraphicalPolygon method) (flatsurf.graphical.surface.GraphicalSurface method) point() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) (flatsurf.geometry.hyperbolic.HyperbolicPlane method) (flatsurf.geometry.surface_legacy.Surface method) (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentVector method) point_position() (flatsurf.geometry.circle.Circle method) points() (flatsurf.graphical.surface_point.GraphicalSurfacePoint method) pole() (flatsurf.geometry.hyperbolic.HyperbolicGeodesic method) polygon() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.ParentMethods method) (flatsurf.geometry.chamanara.ChamanaraSurface method) (flatsurf.geometry.hyperbolic.HyperbolicPlane method) (flatsurf.geometry.lazy.GL2RImageSurface method) (flatsurf.geometry.lazy.LazyDelaunaySurface method) (flatsurf.geometry.lazy.LazyDelaunayTriangulatedSurface method) (flatsurf.geometry.lazy.LazyMutableOrientedSimilaritySurface method) (flatsurf.geometry.lazy.LazyOrientedSimilaritySurface method) (flatsurf.geometry.lazy.LazyRelabeledSurface method) (flatsurf.geometry.lazy.LazyTriangulatedSurface method) (flatsurf.geometry.minimal_cover.MinimalHalfTranslationCover method) (flatsurf.geometry.minimal_cover.MinimalPlanarCover method) (flatsurf.geometry.minimal_cover.MinimalTranslationCover method) (flatsurf.geometry.morphism.UnknownSurface method) (flatsurf.geometry.origami.AbstractOrigami method) (flatsurf.geometry.pyflatsurf.surface.Surface_pyflatsurf method) (flatsurf.geometry.similarity_surface_generators.EInfinitySurface method) (flatsurf.geometry.similarity_surface_generators.TFractalSurface method) (flatsurf.geometry.surface.BaseRingChangedSurface method) (flatsurf.geometry.surface.MutablePolygonalSurface method) (flatsurf.geometry.surface_legacy.Surface method) (flatsurf.geometry.surface_legacy.Surface_dict method) (flatsurf.geometry.surface_legacy.Surface_list method) (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentVector method) Polygon() (in module flatsurf.geometry.polygon) polygon_compare() (in module flatsurf.geometry.mappings) polygon_double() (flatsurf.geometry.similarity_surface_generators.SimilaritySurfaceGenerators static method) polygon_iterator() (flatsurf.geometry.surface_legacy.LabelWalker method) polygon_label() (flatsurf.geometry.straight_line_trajectory.SegmentInPolygon method) (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentVector method) (flatsurf.graphical.straight_line_trajectory.GraphicalSegmentInPolygon method) polygon_label_options (flatsurf.graphical.surface.GraphicalSurface attribute) polygon_labels() (flatsurf.geometry.origami.AbstractOrigami method) polygon_options (flatsurf.graphical.surface.GraphicalSurface attribute) PolygonalSurfaces (class in flatsurf.geometry.categories.polygonal_surfaces) PolygonalSurfaces.ElementMethods (class in flatsurf.geometry.categories.polygonal_surfaces) PolygonalSurfaces.FiniteType (class in flatsurf.geometry.categories.polygonal_surfaces) PolygonalSurfaces.FiniteType.Connected (class in flatsurf.geometry.categories.polygonal_surfaces) PolygonalSurfaces.FiniteType.Connected.ParentMethods (class in flatsurf.geometry.categories.polygonal_surfaces) PolygonalSurfaces.FiniteType.InfiniteType (class in flatsurf.geometry.categories.polygonal_surfaces) PolygonalSurfaces.FiniteType.Oriented (class in flatsurf.geometry.categories.polygonal_surfaces) PolygonalSurfaces.FiniteType.Oriented.ParentMethods (class in flatsurf.geometry.categories.polygonal_surfaces) PolygonalSurfaces.FiniteType.ParentMethods (class in flatsurf.geometry.categories.polygonal_surfaces) PolygonalSurfaces.InfiniteType (class in flatsurf.geometry.categories.polygonal_surfaces) PolygonalSurfaces.InfiniteType.ParentMethods (class in flatsurf.geometry.categories.polygonal_surfaces) PolygonalSurfaces.Oriented (class in flatsurf.geometry.categories.polygonal_surfaces) PolygonalSurfaces.Oriented.WithoutBoundary (class in flatsurf.geometry.categories.polygonal_surfaces) PolygonalSurfaces.Oriented.WithoutBoundary.Connected (class in flatsurf.geometry.categories.polygonal_surfaces) PolygonalSurfaces.Oriented.WithoutBoundary.Connected.ParentMethods (class in flatsurf.geometry.categories.polygonal_surfaces) PolygonalSurfaces.ParentMethods (class in flatsurf.geometry.categories.polygonal_surfaces) PolygonalSurfaces.SubcategoryMethods (class in flatsurf.geometry.categories.polygonal_surfaces) PolygonalSurfaces.WithoutBoundary (class in flatsurf.geometry.categories.polygonal_surfaces) PolygonalSurfaces.WithoutBoundary.ParentMethods (class in flatsurf.geometry.categories.polygonal_surfaces) PolygonPosition (class in flatsurf.geometry.polygon) Polygons (class in flatsurf.geometry.categories.polygons) (class in flatsurf.geometry.surface) polygons() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.ParentMethods method) (flatsurf.geometry.surface.MutablePolygonalSurface method) (flatsurf.geometry.surface_objects.Cylinder method) Polygons.Convex (class in flatsurf.geometry.categories.polygons) Polygons.Convex.ParentMethods (class in flatsurf.geometry.categories.polygons) Polygons.ParentMethods (class in flatsurf.geometry.categories.polygons) Polygons.Rational (class in flatsurf.geometry.categories.polygons) Polygons.Rational.ParentMethods (class in flatsurf.geometry.categories.polygons) Polygons.Simple (class in flatsurf.geometry.categories.polygons) Polygons.Simple.ParentMethods (class in flatsurf.geometry.categories.polygons) Polygons.SubcategoryMethods (class in flatsurf.geometry.categories.polygons) Polygons_MutableOrientedSimilaritySurface (class in flatsurf.geometry.surface) PolygonsConstructor (class in flatsurf.geometry.polygon) polyhedron_to_cone_surface() (in module flatsurf.geometry.polyhedra) polytope() (flatsurf.geometry.l_infinity_delaunay_cells.LInfinityMarkedTriangulation method) position() (flatsurf.geometry.polygon.EuclideanPolygonPoint method) (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentVector method) Positive (flatsurf.geometry.categories.half_translation_surfaces.HalfTranslationSurfaces attribute) Positive() (flatsurf.geometry.categories.dilation_surfaces.DilationSurfaces.SubcategoryMethods method) previous() (flatsurf.geometry.straight_line_trajectory.SegmentInPolygon method) (flatsurf.geometry.surface_objects.Cylinder method) process_options() (flatsurf.graphical.surface.GraphicalSurface method) projective() (flatsurf.geometry.hyperbolic.HyperbolicEpsilonGeometry method) (flatsurf.geometry.hyperbolic.HyperbolicGeometry method) (flatsurf.geometry.hyperbolic.HyperbolicPlane method) projectivization() (in module flatsurf.geometry.euclidean) pull_vector_back() (flatsurf.geometry.mappings.CanonicalizePolygonsMapping method) (flatsurf.geometry.mappings.GL2RMapping method) (flatsurf.geometry.mappings.IdentityMapping method) (flatsurf.geometry.mappings.ReindexMapping method) (flatsurf.geometry.mappings.SimilarityJoinPolygonsMapping method) (flatsurf.geometry.mappings.SplitPolygonsMapping method) (flatsurf.geometry.mappings.SurfaceMapping method) (flatsurf.geometry.mappings.SurfaceMappingComposition method) push_vector_forward() (flatsurf.geometry.mappings.CanonicalizePolygonsMapping method) (flatsurf.geometry.mappings.GL2RMapping method) (flatsurf.geometry.mappings.IdentityMapping method) (flatsurf.geometry.mappings.ReindexMapping method) (flatsurf.geometry.mappings.SimilarityJoinPolygonsMapping method) (flatsurf.geometry.mappings.SplitPolygonsMapping method) (flatsurf.geometry.mappings.SurfaceMapping method) (flatsurf.geometry.mappings.SurfaceMappingComposition method) PyeanticModule (class in flatsurf.features) pyflatsurf() (flatsurf.geometry.categories.translation_surfaces.TranslationSurfaces.FiniteType.ParentMethods method) (flatsurf.geometry.pyflatsurf.surface.Surface_pyflatsurf method) Q quat_to_tuple() (flatsurf.geometry.mega_wollmilchsau.MegaWollmilchsauGroupElement static method) R radius_squared() (flatsurf.geometry.circle.Circle method) ramified_cover() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) random_element() (flatsurf.geometry.categories.euclidean_polygons_with_angles.EuclideanPolygonsWithAngles.SubcategoryMethods method) (flatsurf.geometry.hyperbolic.HyperbolicPlane method) random_flip() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) random_set() (flatsurf.geometry.hyperbolic.HyperbolicConvexPolygon class method) (flatsurf.geometry.hyperbolic.HyperbolicConvexSet class method) (flatsurf.geometry.hyperbolic.HyperbolicEmptySet class method) (flatsurf.geometry.hyperbolic.HyperbolicHalfSpace class method) (flatsurf.geometry.hyperbolic.HyperbolicOrientedGeodesic class method) (flatsurf.geometry.hyperbolic.HyperbolicOrientedSegment class method) (flatsurf.geometry.hyperbolic.HyperbolicPointFromCoordinates class method) (flatsurf.geometry.hyperbolic.HyperbolicUnorientedGeodesic class method) (flatsurf.geometry.hyperbolic.HyperbolicUnorientedSegment class method) Rational() (flatsurf.geometry.categories.polygons.Polygons.SubcategoryMethods method) (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.SubcategoryMethods method) RationalConeSurface() (in module flatsurf.geometry.surface_legacy) real() (flatsurf.geometry.hyperbolic.HyperbolicPlane method) (flatsurf.geometry.hyperbolic.HyperbolicPoint method) rectangle() (flatsurf.geometry.polygon.PolygonsConstructor method) refine_polygon() (flatsurf.geometry.surface.MutableOrientedSimilaritySurface method) refined_category() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.ParentMethods method) (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.ParentMethods method) (flatsurf.geometry.categories.topological_surfaces.TopologicalSurfaces.ParentMethods method) regular_ngon() (flatsurf.geometry.polygon.PolygonsConstructor static method) regular_octagon() (flatsurf.geometry.similarity_surface_generators.TranslationSurfaceGenerators static method) ReindexMapping (class in flatsurf.geometry.mappings) rel_deformation() (flatsurf.geometry.categories.translation_surfaces.TranslationSurfaces.FiniteType.WithoutBoundary.ParentMethods method) relabel() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) (flatsurf.geometry.surface.MutableOrientedSimilaritySurface method) remove_polygon() (flatsurf.geometry.surface.MutableOrientedSimilaritySurface method) (flatsurf.geometry.surface.MutablePolygonalSurface method) (flatsurf.geometry.surface_legacy.Surface method) removed_label() (flatsurf.geometry.mappings.SimilarityJoinPolygonsMapping method) replace_polygon() (flatsurf.geometry.lazy.LazyMutableOrientedSimilaritySurface method) (flatsurf.geometry.surface.MutableOrientedSimilaritySurface method) reposition_polygons() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.FiniteType.Oriented.ParentMethods method) (flatsurf.geometry.surface.MutableOrientedSimilaritySurface method) representative() (flatsurf.geometry.surface_objects.SurfacePoint method) representatives() (flatsurf.geometry.surface_objects.SurfacePoint method) reset_letters() (flatsurf.graphical.surface.GraphicalSurface method) right() (flatsurf.geometry.mega_wollmilchsau.MegaWollmilchsau method) (flatsurf.geometry.origami.AbstractOrigami method) (flatsurf.geometry.origami.Origami method) right_angle_triangle() (flatsurf.geometry.similarity_surface_generators.SimilaritySurfaceGenerators static method) right_half_space() (flatsurf.geometry.hyperbolic.HyperbolicOrientedGeodesic method) right_left_delaunay_condition() (in module flatsurf.geometry.l_infinity_delaunay_cells) right_left_pairs() (flatsurf.geometry.l_infinity_delaunay_cells.LInfinityMarkedTriangulation method) right_triangle() (flatsurf.geometry.polygon.PolygonsConstructor static method) ring_conversion() (flatsurf.geometry.pyflatsurf.conversion.FlatTriangulationConversion method) RingConversion (class in flatsurf.geometry.pyflatsurf.conversion) RingConversion_algebraic (class in flatsurf.geometry.pyflatsurf.conversion) RingConversion_eantic (class in flatsurf.geometry.pyflatsurf.conversion) RingConversion_exactreal (class in flatsurf.geometry.pyflatsurf.conversion) RingConversion_gmp (class in flatsurf.geometry.pyflatsurf.conversion) RingConversion_int (class in flatsurf.geometry.pyflatsurf.conversion) root() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.ParentMethods method) RootedComponents_MutablePolygonalSurface (class in flatsurf.geometry.surface) roots() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.ParentMethods method) (flatsurf.geometry.chamanara.ChamanaraSurface method) (flatsurf.geometry.lazy.LazyDelaunaySurface method) (flatsurf.geometry.lazy.LazyDelaunayTriangulatedSurface method) (flatsurf.geometry.lazy.LazyOrientedSimilaritySurface method) (flatsurf.geometry.lazy.LazyRelabeledSurface method) (flatsurf.geometry.lazy.LazyTriangulatedSurface method) (flatsurf.geometry.minimal_cover.MinimalHalfTranslationCover method) (flatsurf.geometry.minimal_cover.MinimalPlanarCover method) (flatsurf.geometry.minimal_cover.MinimalTranslationCover method) (flatsurf.geometry.morphism.UnknownSurface method) (flatsurf.geometry.origami.AbstractOrigami method) (flatsurf.geometry.pyflatsurf.surface.Surface_pyflatsurf method) (flatsurf.geometry.similarity_surface_generators.EInfinitySurface method) (flatsurf.geometry.similarity_surface_generators.TFractalSurface method) (flatsurf.geometry.surface.BaseRingChangedSurface method) (flatsurf.geometry.surface.MutablePolygonalSurface method) (flatsurf.geometry.surface_legacy.Surface method) S saddle_connections() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) SaddleConnection (class in flatsurf.geometry.surface_objects) sage_ring() (in module flatsurf.geometry.pyflatsurf.conversion) section() (flatsurf.geometry.morphism.CompositionMorphism method) (flatsurf.geometry.morphism.GL2RMorphism method) (flatsurf.geometry.morphism.IdentityMorphism method) (flatsurf.geometry.morphism.SectionMorphism method) (flatsurf.geometry.morphism.SurfaceMorphism method) (flatsurf.geometry.pyflatsurf.conversion.Conversion method) (flatsurf.geometry.pyflatsurf.conversion.FlatTriangulationConversion method) (flatsurf.geometry.pyflatsurf.conversion.RingConversion_eantic method) (flatsurf.geometry.pyflatsurf.conversion.RingConversion_exactreal method) (flatsurf.geometry.pyflatsurf.conversion.RingConversion_gmp method) (flatsurf.geometry.pyflatsurf.conversion.RingConversion_int method) (flatsurf.geometry.pyflatsurf.conversion.VectorSpaceConversion method) (flatsurf.geometry.pyflatsurf.morphism.Morphism_to_pyflatsurf method) (flatsurf.geometry.veech_group.DerivativeMap method) (flatsurf.geometry.veech_group.SectionDerivativeMap method) SectionDerivativeMap (class in flatsurf.geometry.veech_group) SectionMorphism (class in flatsurf.geometry.morphism) segment() (flatsurf.geometry.hyperbolic.HyperbolicPlane method) (flatsurf.geometry.hyperbolic.HyperbolicPoint method) (flatsurf.geometry.straight_line_trajectory.AbstractStraightLineTrajectory method) (flatsurf.geometry.straight_line_trajectory.StraightLineTrajectory method) (flatsurf.geometry.straight_line_trajectory.StraightLineTrajectoryTranslation method) SegmentInPolygon (class in flatsurf.geometry.straight_line_trajectory) segments() (flatsurf.geometry.straight_line_trajectory.AbstractStraightLineTrajectory method) (flatsurf.geometry.straight_line_trajectory.StraightLineTrajectory method) (flatsurf.geometry.straight_line_trajectory.StraightLineTrajectoryTranslation method) self_glued_edge_options (flatsurf.graphical.surface.GraphicalSurface attribute) self_glued_polygon() (flatsurf.geometry.similarity_surface_generators.SimilaritySurfaceGenerators static method) set_default_graphical_surface() (flatsurf.geometry.surface.MutablePolygonalSurface method) (flatsurf.geometry.surface_legacy.Surface method) set_edge_pairing() (flatsurf.geometry.surface.MutableOrientedSimilaritySurface method) (flatsurf.geometry.surface_legacy.Surface method) set_immutable() (flatsurf.geometry.surface.MutablePolygonalSurface method) (flatsurf.geometry.surface_legacy.Surface method) set_root() (flatsurf.geometry.surface.MutablePolygonalSurface method) set_roots() (flatsurf.geometry.surface.MutablePolygonalSurface method) set_transformation() (flatsurf.graphical.polygon.GraphicalPolygon method) set_vertex_zero() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) (flatsurf.geometry.surface.MutableOrientedSimilaritySurface method) sign() (flatsurf.geometry.similarity.Similarity method) sign_and_norm_conditions() (in module flatsurf.geometry.l_infinity_delaunay_cells) Similarity (class in flatsurf.geometry.similarity) similarity_from_vectors() (in module flatsurf.geometry.similarity) SimilarityGroup (class in flatsurf.geometry.similarity) SimilarityJoinPolygonsMapping (class in flatsurf.geometry.mappings) SimilaritySurface() (in module flatsurf.geometry.surface_legacy) SimilaritySurfaceGenerators (class in flatsurf.geometry.similarity_surface_generators) SimilaritySurfaces (class in flatsurf.geometry.categories.similarity_surfaces) SimilaritySurfaces.FiniteType (class in flatsurf.geometry.categories.similarity_surfaces) SimilaritySurfaces.FiniteType.Oriented (class in flatsurf.geometry.categories.similarity_surfaces) SimilaritySurfaces.FiniteType.Oriented.ParentMethods (class in flatsurf.geometry.categories.similarity_surfaces) SimilaritySurfaces.FiniteType.ParentMethods (class in flatsurf.geometry.categories.similarity_surfaces) SimilaritySurfaces.Oriented (class in flatsurf.geometry.categories.similarity_surfaces) SimilaritySurfaces.Oriented.ElementMethods (class in flatsurf.geometry.categories.similarity_surfaces) SimilaritySurfaces.Oriented.ParentMethods (class in flatsurf.geometry.categories.similarity_surfaces) SimilaritySurfaces.ParentMethods (class in flatsurf.geometry.categories.similarity_surfaces) SimilaritySurfaces.Rational (class in flatsurf.geometry.categories.similarity_surfaces) SimilaritySurfaces.Rational.ParentMethods (class in flatsurf.geometry.categories.similarity_surfaces) SimilaritySurfaces.SubcategoryMethods (class in flatsurf.geometry.categories.similarity_surfaces) SimilaritySurfaceTangentBundle (class in flatsurf.geometry.tangent_bundle) SimilaritySurfaceTangentVector (class in flatsurf.geometry.tangent_bundle) Simple() (flatsurf.geometry.categories.polygons.Polygons.SubcategoryMethods method) simplices() (flatsurf.geometry.homology.SimplicialHomologyGroup method) SimplicialCohomology() (in module flatsurf.geometry.cohomology) SimplicialCohomologyClass (class in flatsurf.geometry.cohomology) SimplicialCohomologyGroup (class in flatsurf.geometry.cohomology) SimplicialHomology() (in module flatsurf.geometry.homology) SimplicialHomologyClass (class in flatsurf.geometry.homology) SimplicialHomologyGroup (class in flatsurf.geometry.homology) SimplicialHomologyMorphism_base (class in flatsurf.geometry.homology) SimplicialHomologyMorphism_induced (class in flatsurf.geometry.homology) SimplicialHomologyMorphism_matrix (class in flatsurf.geometry.homology) SimplicialHomologyMorphismSpace (class in flatsurf.geometry.homology) singularity() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) Singularity() (in module flatsurf.geometry.surface_objects) slope() (in module flatsurf.geometry.euclidean) slopes() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.ParentMethods method) (flatsurf.geometry.categories.euclidean_polygons_with_angles.EuclideanPolygonsWithAngles.SubcategoryMethods method) solve() (in module flatsurf.geometry.euclidean) some_elements() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) (flatsurf.geometry.finitely_generated_matrix_group.FinitelyGenerated2x2MatrixGroup method) (flatsurf.geometry.homology.SimplicialHomologyGroup method) (flatsurf.geometry.hyperbolic.HyperbolicEmptySet method) (flatsurf.geometry.hyperbolic.HyperbolicPlane method) (flatsurf.geometry.mega_wollmilchsau.MegaWollmilchsauGroup method) some_subsets() (flatsurf.geometry.hyperbolic.HyperbolicPlane method) SplitPolygonsMapping (class in flatsurf.geometry.mappings) square() (flatsurf.geometry.polygon.PolygonsConstructor method) square_torus() (flatsurf.geometry.similarity_surface_generators.TranslationSurfaceGenerators static method) standardize_polygons() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.FiniteType.Oriented.ParentMethods method) (flatsurf.geometry.surface.MutableOrientedSimilaritySurface_base method) start() (flatsurf.geometry.hyperbolic.HyperbolicOrientedGeodesic method) (flatsurf.geometry.hyperbolic.HyperbolicOrientedSegment method) (flatsurf.geometry.hyperbolic.HyperbolicPlane method) (flatsurf.geometry.straight_line_trajectory.SegmentInPolygon method) (flatsurf.graphical.straight_line_trajectory.GraphicalSegmentInPolygon method) start_data() (flatsurf.geometry.surface_objects.SaddleConnection method) start_is_singular() (flatsurf.geometry.straight_line_trajectory.SegmentInPolygon method) start_tangent_vector() (flatsurf.geometry.surface_objects.SaddleConnection method) step_billiard() (flatsurf.geometry.similarity_surface_generators.HalfTranslationSurfaceGenerators static method) straight_line_trajectory() (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentVector method) StraightLineTrajectory (class in flatsurf.geometry.straight_line_trajectory) StraightLineTrajectoryTranslation (class in flatsurf.geometry.straight_line_trajectory) stratum() (flatsurf.geometry.categories.half_translation_surfaces.HalfTranslationSurfaces.Orientable.WithoutBoundary.ParentMethods method) (flatsurf.geometry.categories.translation_surfaces.TranslationSurfaces.FiniteType.WithoutBoundary.ParentMethods method) (flatsurf.geometry.thurston_veech.ThurstonVeech method) stratum_component() (flatsurf.geometry.thurston_veech.ThurstonVeech method) strict_convexity() (flatsurf.geometry.categories.euclidean_polygons_with_angles.EuclideanPolygonsWithAngles.SubcategoryMethods method) subdivide() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.Simple.Convex.ParentMethods method) (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) subdivide_a_polygon() (in module flatsurf.geometry.mappings) subdivide_edges() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.Simple.Convex.ParentMethods method) (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) subdivide_polygon() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) (flatsurf.geometry.surface.MutableOrientedSimilaritySurface method) SubdivideEdgesMorphism (class in flatsurf.geometry.morphism) subfield_from_elements() (in module flatsurf.geometry.subfield) super_categories() (flatsurf.geometry.categories.cone_surfaces.ConeSurfaces method) (flatsurf.geometry.categories.dilation_surfaces.DilationSurfaces method) (flatsurf.geometry.categories.euclidean_polygonal_surfaces.EuclideanPolygonalSurfaces method) (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons method) (flatsurf.geometry.categories.euclidean_polygons_with_angles.EuclideanPolygonsWithAngles method) (flatsurf.geometry.categories.half_translation_surfaces.HalfTranslationSurfaces method) (flatsurf.geometry.categories.hyperbolic_polygons.HyperbolicPolygons method) (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces method) (flatsurf.geometry.categories.polygons.Polygons method) (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces method) (flatsurf.geometry.categories.topological_surfaces.TopologicalSurfaces method) Surface (class in flatsurf.geometry.surface_legacy) surface() (flatsurf.geometry.cohomology.SimplicialCohomologyGroup method) (flatsurf.geometry.homology.SimplicialHomologyClass method) (flatsurf.geometry.homology.SimplicialHomologyGroup method) (flatsurf.geometry.straight_line_trajectory.AbstractStraightLineTrajectory method) (flatsurf.geometry.straight_line_trajectory.StraightLineTrajectory method) (flatsurf.geometry.surface_legacy.LabelWalker method) (flatsurf.geometry.surface_objects.Cylinder method) (flatsurf.geometry.surface_objects.SaddleConnection method) (flatsurf.geometry.surface_objects.SurfacePoint method) (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentBundle method) (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentVector method) (flatsurf.geometry.veech_group.AffineAutomorphismGroup_generic method) (flatsurf.geometry.veech_group.VeechGroup_generic method) Surface_base (class in flatsurf.geometry.surface) Surface_dict (class in flatsurf.geometry.surface_legacy) Surface_list (class in flatsurf.geometry.surface_legacy) surface_list_from_polygons_and_gluings() (in module flatsurf.geometry.surface_legacy) surface_point() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) (flatsurf.graphical.surface_point.GraphicalSurfacePoint method) Surface_pyflatsurf (class in flatsurf.geometry.pyflatsurf.surface) SurfaceCategory (class in flatsurf.geometry.categories.surface_category) SurfaceCategoryWithAxiom (class in flatsurf.geometry.categories.surface_category) SurfaceClass() (in module flatsurf.geometry.surface_legacy) SurfaceCmpKey (class in flatsurf.geometry.categories.surface_category) SurfaceMapping (class in flatsurf.geometry.mappings) SurfaceMappingComposition (class in flatsurf.geometry.mappings) SurfaceMorphism (class in flatsurf.geometry.morphism) SurfaceMorphism_factorization (class in flatsurf.geometry.morphism) SurfaceMorphismSpace (class in flatsurf.geometry.morphism) SurfacePoint (class in flatsurf.geometry.surface_objects) symplectic_basis() (flatsurf.geometry.homology.SimplicialHomologyGroup method) T t_fractal() (flatsurf.geometry.similarity_surface_generators.TranslationSurfaceGenerators static method) tangent_bundle() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) tangent_space_basis() (flatsurf.geometry.gl2r_orbit_closure.GL2ROrbitClosure method) tangent_vector() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) (flatsurf.geometry.circle.Circle method) target (flatsurf.graphical.hyperbolic.HyperbolicPathPlotCommand attribute) terminal_tangent_vector() (flatsurf.geometry.straight_line_trajectory.AbstractStraightLineTrajectory method) tfractal_surface() (in module flatsurf.geometry.similarity_surface_generators) TFractalSurface (class in flatsurf.geometry.similarity_surface_generators) ThurstonVeech (class in flatsurf.geometry.thurston_veech) to_pyflatsurf() (flatsurf.geometry.pyflatsurf.conversion.Conversion class method) (flatsurf.geometry.pyflatsurf.conversion.FlatTriangulationConversion class method) (flatsurf.geometry.pyflatsurf.conversion.RingConversion class method) (flatsurf.geometry.pyflatsurf.conversion.VectorSpaceConversion class method) (in module flatsurf.geometry.pyflatsurf.conversion) to_pyflatsurf_from_elements() (flatsurf.geometry.pyflatsurf.conversion.Conversion class method) (flatsurf.geometry.pyflatsurf.conversion.RingConversion class method) (flatsurf.geometry.pyflatsurf.conversion.VectorSpaceConversion class method) to_sage_ring() (in module flatsurf.geometry.pyflatsurf.conversion) to_surface() (flatsurf.graphical.surface.GraphicalSurface method) TopologicalSurfaces (class in flatsurf.geometry.categories.topological_surfaces) TopologicalSurfaces.Compact (class in flatsurf.geometry.categories.topological_surfaces) TopologicalSurfaces.Compact.ParentMethods (class in flatsurf.geometry.categories.topological_surfaces) TopologicalSurfaces.Connected (class in flatsurf.geometry.categories.topological_surfaces) TopologicalSurfaces.Connected.ParentMethods (class in flatsurf.geometry.categories.topological_surfaces) TopologicalSurfaces.Orientable (class in flatsurf.geometry.categories.topological_surfaces) TopologicalSurfaces.Orientable.ParentMethods (class in flatsurf.geometry.categories.topological_surfaces) TopologicalSurfaces.ParentMethods (class in flatsurf.geometry.categories.topological_surfaces) TopologicalSurfaces.SubcategoryMethods (class in flatsurf.geometry.categories.topological_surfaces) TopologicalSurfaces.WithBoundary (class in flatsurf.geometry.categories.topological_surfaces) TopologicalSurfaces.WithBoundary.ParentMethods (class in flatsurf.geometry.categories.topological_surfaces) TopologicalSurfaces.WithBoundary.WithoutBoundary (class in flatsurf.geometry.categories.topological_surfaces) TopologicalSurfaces.WithoutBoundary (class in flatsurf.geometry.categories.topological_surfaces) TopologicalSurfaces.WithoutBoundary.ParentMethods (class in flatsurf.geometry.categories.topological_surfaces) torus() (flatsurf.geometry.similarity_surface_generators.TranslationSurfaceGenerators static method) trajectory() (flatsurf.geometry.surface_objects.SaddleConnection method) transform() (flatsurf.graphical.polygon.GraphicalPolygon method) transform_back() (flatsurf.graphical.polygon.GraphicalPolygon method) transformation() (flatsurf.graphical.polygon.GraphicalPolygon method) transformed_vertex() (flatsurf.graphical.polygon.GraphicalPolygon method) translate() (flatsurf.geometry.polygon.EuclideanPolygon method) TranslationSurface() (in module flatsurf.geometry.surface_legacy) TranslationSurfaceGenerators (class in flatsurf.geometry.similarity_surface_generators) TranslationSurfaces (class in flatsurf.geometry.categories.translation_surfaces) TranslationSurfaces.FiniteType (class in flatsurf.geometry.categories.translation_surfaces) TranslationSurfaces.FiniteType.ParentMethods (class in flatsurf.geometry.categories.translation_surfaces) TranslationSurfaces.FiniteType.WithoutBoundary (class in flatsurf.geometry.categories.translation_surfaces) TranslationSurfaces.FiniteType.WithoutBoundary.ParentMethods (class in flatsurf.geometry.categories.translation_surfaces) TranslationSurfaces.ParentMethods (class in flatsurf.geometry.categories.translation_surfaces) triangle() (flatsurf.geometry.polygon.PolygonsConstructor method) triangle_flip() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) (flatsurf.geometry.surface.MutableOrientedSimilaritySurface_base method) triangulate() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.Simple.ParentMethods method) (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) (flatsurf.geometry.surface.MutableOrientedSimilaritySurface method) triangulation() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.Simple.ParentMethods method) triangulation_mapping() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) (in module flatsurf.geometry.mappings) TriangulationLabels (class in flatsurf.geometry.lazy) TriangulationMorphism_base (class in flatsurf.geometry.morphism) TriangulationMorphism_LazyTriangulatedSurface (class in flatsurf.geometry.morphism) triples() (flatsurf.geometry.hyperbolic.OrderedSet method) turns() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ElementMethods method) U underlying_surface() (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) unglue() (flatsurf.geometry.surface.MutableOrientedSimilaritySurface method) UnknownRing (class in flatsurf.geometry.morphism) UnknownSurface (class in flatsurf.geometry.morphism) unoriented() (flatsurf.geometry.hyperbolic.HyperbolicConvexSet method) unparametrize() (flatsurf.geometry.hyperbolic.HyperbolicOrientedGeodesic method) unpickle_NamedUnknownMorphism() (in module flatsurf.geometry.morphism) up() (flatsurf.geometry.mega_wollmilchsau.MegaWollmilchsau method) (flatsurf.geometry.origami.AbstractOrigami method) (flatsurf.geometry.origami.Origami method) update_tangent_space_from_flow_decomposition() (flatsurf.geometry.gl2r_orbit_closure.GL2ROrbitClosure method) update_tangent_space_from_vector() (flatsurf.geometry.gl2r_orbit_closure.GL2ROrbitClosure method) upside_down_polygon_options (flatsurf.graphical.surface.GraphicalSurface attribute) V vector() (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentVector method) vector_space() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.ParentMethods method) (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.SubcategoryMethods method) (flatsurf.geometry.categories.similarity_surfaces.SimilaritySurfaces.Oriented.ParentMethods method) (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentBundle method) vector_space_conversion() (flatsurf.geometry.pyflatsurf.conversion.FlatTriangulationConversion method) VectorSpaceConversion (class in flatsurf.geometry.pyflatsurf.conversion) veech_2n_gon() (flatsurf.geometry.similarity_surface_generators.TranslationSurfaceGenerators static method) veech_double_n_gon() (flatsurf.geometry.similarity_surface_generators.TranslationSurfaceGenerators static method) veech_group() (flatsurf.geometry.categories.dilation_surfaces.DilationSurfaces.ParentMethods method) VeechGroup() (in module flatsurf.geometry.veech_group) VeechGroup_generic (class in flatsurf.geometry.veech_group) veering_triangulation() (flatsurf.geometry.categories.dilation_surfaces.DilationSurfaces.FiniteType.ParentMethods method) VERTEX (flatsurf.geometry.polygon.PolygonPosition attribute) vertex() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.ParentMethods method) (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentVector method) vertex_set() (flatsurf.geometry.surface_objects.SurfacePoint method) vertical() (flatsurf.geometry.hyperbolic.HyperbolicGeometry method) (flatsurf.geometry.hyperbolic.HyperbolicPlane method) vertices() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.ParentMethods method) (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.FiniteType.ParentMethods method) (flatsurf.geometry.hyperbolic.HyperbolicConvexPolygon method) (flatsurf.geometry.hyperbolic.HyperbolicConvexSet method) (flatsurf.geometry.hyperbolic.HyperbolicEmptySet method) (flatsurf.geometry.hyperbolic.HyperbolicGeodesic method) (flatsurf.geometry.hyperbolic.HyperbolicHalfSpace method) (flatsurf.geometry.hyperbolic.HyperbolicPoint method) (flatsurf.geometry.hyperbolic.HyperbolicSegment method) (flatsurf.geometry.polygon.EuclideanPolygon method) visible() (flatsurf.graphical.surface.GraphicalSurface method) W walker() (flatsurf.geometry.categories.polygonal_surfaces.PolygonalSurfaces.ParentMethods method) (flatsurf.geometry.surface_legacy.Surface method) ward() (flatsurf.geometry.similarity_surface_generators.TranslationSurfaceGenerators static method) wedge() (flatsurf.geometry.mega_wollmilchsau.MegaWollmilchsauGroupElement static method) will_plot_adjacent_edges (flatsurf.graphical.surface.GraphicalSurface attribute) will_plot_edge_labels (flatsurf.graphical.surface.GraphicalSurface attribute) will_plot_edges (flatsurf.graphical.surface.GraphicalSurface attribute) will_plot_non_adjacent_edges (flatsurf.graphical.surface.GraphicalSurface attribute) will_plot_polygon_labels (flatsurf.graphical.surface.GraphicalSurface attribute) will_plot_polygons (flatsurf.graphical.surface.GraphicalSurface attribute) will_plot_self_glued_edges (flatsurf.graphical.surface.GraphicalSurface attribute) will_plot_upside_down_polygons (flatsurf.graphical.surface.GraphicalSurface attribute) will_plot_zero_flags (flatsurf.graphical.surface.GraphicalSurface attribute) WithAngles() (flatsurf.geometry.categories.euclidean_polygons.EuclideanPolygons.SubcategoryMethods method) WithBoundary() (flatsurf.geometry.categories.topological_surfaces.TopologicalSurfaces.SubcategoryMethods method) WithoutBoundary() (flatsurf.geometry.categories.topological_surfaces.TopologicalSurfaces.SubcategoryMethods method) X xmax() (flatsurf.graphical.polygon.GraphicalPolygon method) (flatsurf.graphical.surface.GraphicalSurface method) xmin() (flatsurf.graphical.polygon.GraphicalPolygon method) (flatsurf.graphical.surface.GraphicalSurface method) Y ymax() (flatsurf.graphical.polygon.GraphicalPolygon method) (flatsurf.graphical.surface.GraphicalSurface method) ymin() (flatsurf.graphical.polygon.GraphicalPolygon method) (flatsurf.graphical.surface.GraphicalSurface method) Z zero() (flatsurf.geometry.homology.SimplicialHomologyGroup method) (flatsurf.geometry.homology.SimplicialHomologyMorphismSpace method) zero_flag_options (flatsurf.graphical.surface.GraphicalSurface attribute)