Index

A

AbstractOrigami (class in flatsurf.geometry.similarity_surface) add_vertex() (flatsurf.geometry.polygon.PolygonCreator method) angle() (flatsurf.geometry.polygon.ConvexPolygon method) (in module flatsurf.geometry.matrix_2x2)

angles() (flatsurf.geometry.similarity_surface.ConicSurface method) area() (flatsurf.geometry.polygon.ConvexPolygon method) (flatsurf.geometry.similarity_surface.SimilaritySurface_generic method)

B

base_label() (flatsurf.geometry.similarity_surface.MinimalTranslationCover method) (flatsurf.geometry.similarity_surface.SimilaritySurface_generic method) base_polygon() (flatsurf.graphical.polygon.GraphicalPolygon method) base_ring() (flatsurf.geometry.polygon.ConvexPolygon method) (flatsurf.geometry.polygon.ConvexPolygons method) (flatsurf.geometry.relative_homology.RelativeHomology method) (flatsurf.geometry.similarity_surface.AbstractOrigami method) (flatsurf.geometry.similarity_surface.MinimalTranslationCover method) (flatsurf.geometry.similarity_surface.SimilaritySurface_generic method) (flatsurf.geometry.similarity_surface.SimilaritySurface_polygons_and_gluings method) (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentBundle method) (flatsurf.graphical.polygon.GraphicalPolygon method)

bounding_box() (flatsurf.graphical.polygon.GraphicalPolygon method) (flatsurf.graphical.surface.GraphicalSurface method) bundle() (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentVector method)

C

clockwise_edge() (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentBundle method) combinatorial_length() (flatsurf.geometry.straight_line_trajectory.StraightLineTrajectory method) ConicSurface (class in flatsurf.geometry.similarity_surface)

contains_point() (flatsurf.geometry.polygon.ConvexPolygon method) ConvexPolygon (class in flatsurf.geometry.polygon) ConvexPolygons (class in flatsurf.geometry.polygon)

D

derivative() (flatsurf.geometry.similarity.Similarity method) differs_by_scaling() (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentVector method)

down() (flatsurf.geometry.similarity_surface.AbstractOrigami method) (flatsurf.geometry.similarity_surface.Origami method)

E

edge() (flatsurf.geometry.polygon.ConvexPolygon method) (flatsurf.geometry.relative_homology.RelativeHomology method) (flatsurf.geometry.straight_line_trajectory.SegmentInPolygon method) (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentBundle method) edge_dict() (flatsurf.geometry.similarity_surface.SimilaritySurface_generic method) EDGE_INTERIOR (flatsurf.geometry.polygon.PolygonPosition attribute) edge_iterator() (flatsurf.geometry.similarity_surface.SimilaritySurface_generic method) edge_matrix() (flatsurf.geometry.similarity_surface.SimilaritySurface_generic method) (flatsurf.geometry.similarity_surface.TranslationSurface_generic method) edge_pointing_along() (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentVector method) edge_transformation() (flatsurf.geometry.similarity_surface.SimilaritySurface_generic method) edges() (flatsurf.geometry.polygon.ConvexPolygon method)

edges_with_weights() (flatsurf.geometry.relative_homology.RelativeHomologyClass method) edit() (flatsurf.geometry.similarity_surface.SimilaritySurface_generic method) Element (flatsurf.geometry.polygon.ConvexPolygons attribute) (flatsurf.geometry.relative_homology.RelativeHomology attribute) end() (flatsurf.geometry.straight_line_trajectory.SegmentInPolygon method) (flatsurf.graphical.straight_line_trajectory.GraphicalSegmentInPolygon method) end_direction() (flatsurf.geometry.straight_line_trajectory.SegmentInPolygon method) end_is_singular() (flatsurf.geometry.straight_line_trajectory.SegmentInPolygon method) end_point() (flatsurf.geometry.straight_line_trajectory.SegmentInPolygon method)

F

field() (flatsurf.geometry.polygon.ConvexPolygon method) (flatsurf.geometry.polygon.ConvexPolygons method) (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentBundle method) (flatsurf.graphical.polygon.GraphicalPolygon method) flatsurf.geometry (module) flatsurf.geometry.matrix_2x2 (module) flatsurf.geometry.polygon (module) flatsurf.geometry.relative_homology (module) flatsurf.geometry.similarity (module) flatsurf.geometry.similarity_surface (module) flatsurf.geometry.straight_line_trajectory (module) flatsurf.geometry.tangent_bundle (module)

flatsurf.geometry.translation (module) flatsurf.graphical (module) flatsurf.graphical.polygon (module) flatsurf.graphical.straight_line_trajectory (module) flatsurf.graphical.surface (module) flow() (flatsurf.geometry.polygon.ConvexPolygon method) (flatsurf.geometry.straight_line_trajectory.StraightLineTrajectory method) flow_to_exit() (flatsurf.geometry.polygon.ConvexPolygon method) forward_to_polygon_boundary() (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentVector method) fundamental_group_basis() (flatsurf.geometry.similarity_surface.SimilaritySurface_generic method)

G

get_bundle() (flatsurf.geometry.similarity_surface.SimilaritySurface_generic method) get_edge() (flatsurf.geometry.polygon.PolygonPosition method) get_point_position() (flatsurf.geometry.polygon.ConvexPolygon method) get_polygon() (flatsurf.geometry.polygon.PolygonCreator method) get_position_type() (flatsurf.geometry.polygon.PolygonPosition method) get_surface() (flatsurf.graphical.surface.GraphicalSurface method) get_vertex() (flatsurf.geometry.polygon.PolygonPosition method)

graphical_polygon() (flatsurf.graphical.surface.GraphicalSurface method) graphical_surface() (flatsurf.geometry.similarity_surface.SimilaritySurface_generic method) graphical_trajectory() (flatsurf.geometry.straight_line_trajectory.StraightLineTrajectory 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)

H

has_coerce_map_from() (flatsurf.geometry.polygon.ConvexPolygons method)

homothety_rotation_decomposition() (in module flatsurf.geometry.matrix_2x2)

I

initial_segment() (flatsurf.geometry.straight_line_trajectory.StraightLineTrajectory method) initial_tangent_vector() (flatsurf.geometry.straight_line_trajectory.StraightLineTrajectory method) INTERIOR (flatsurf.geometry.polygon.PolygonPosition attribute) invert() (flatsurf.geometry.straight_line_trajectory.SegmentInPolygon method) (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentVector method) is_adjacent() (flatsurf.graphical.surface.GraphicalSurface method) is_backward_separatrix() (flatsurf.geometry.straight_line_trajectory.StraightLineTrajectory method) is_based_at_singularity() (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentVector method) is_closed() (flatsurf.geometry.straight_line_trajectory.StraightLineTrajectory method) is_cosine_sine_of_rational() (in module flatsurf.geometry.matrix_2x2) is_edge() (flatsurf.geometry.straight_line_trajectory.SegmentInPolygon method) is_finite() (flatsurf.geometry.similarity_surface.SimilaritySurface_generic method) is_forward_separatrix() (flatsurf.geometry.straight_line_trajectory.StraightLineTrajectory 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.polygon.PolygonPosition method) is_in_interior() (flatsurf.geometry.polygon.PolygonPosition method) is_inside() (flatsurf.geometry.polygon.PolygonPosition method) is_opposite_direction() (in module flatsurf.geometry.polygon) is_outside() (flatsurf.geometry.polygon.PolygonPosition method) is_saddle_connection() (flatsurf.geometry.straight_line_trajectory.StraightLineTrajectory method) is_same_direction() (in module flatsurf.geometry.polygon) is_similarity() (in module flatsurf.geometry.matrix_2x2) is_vertex() (flatsurf.geometry.polygon.PolygonPosition method) is_visible() (flatsurf.graphical.surface.GraphicalSurface method)

L

left() (flatsurf.geometry.similarity_surface.AbstractOrigami method) (flatsurf.geometry.similarity_surface.Origami method)

M

make_adjacent() (flatsurf.graphical.surface.GraphicalSurface method) make_adjacent_and_visible() (flatsurf.graphical.surface.GraphicalSurface method) make_all_visible() (flatsurf.graphical.surface.GraphicalSurface method) make_visible() (flatsurf.graphical.surface.GraphicalSurface method) matrix() (flatsurf.geometry.translation.Translation method) MatrixActionOnPolygons (class in flatsurf.geometry.polygon)

maxx() (flatsurf.graphical.polygon.GraphicalPolygon method) (flatsurf.graphical.surface.GraphicalSurface method) maxy() (flatsurf.graphical.polygon.GraphicalPolygon method) (flatsurf.graphical.surface.GraphicalSurface method) minimal_translation_cover() (flatsurf.geometry.similarity_surface.SimilaritySurface_generic method) (flatsurf.geometry.similarity_surface.TranslationSurface_generic method) MinimalTranslationCover (class in flatsurf.geometry.similarity_surface) minx() (flatsurf.graphical.polygon.GraphicalPolygon method) (flatsurf.graphical.surface.GraphicalSurface method) miny() (flatsurf.graphical.polygon.GraphicalPolygon method) (flatsurf.graphical.surface.GraphicalSurface method)

N

next() (flatsurf.geometry.straight_line_trajectory.SegmentInPolygon method) num_edges() (flatsurf.geometry.polygon.ConvexPolygon method) (flatsurf.geometry.similarity_surface.SimilaritySurface_generic method) (flatsurf.graphical.polygon.GraphicalPolygon method) num_polygons() (flatsurf.geometry.similarity_surface.AbstractOrigami method) (flatsurf.geometry.similarity_surface.SimilaritySurface_generic method) (flatsurf.geometry.similarity_surface.SimilaritySurface_polygons_and_gluings method)

number_field_elements_from_algebraics() (in module flatsurf.geometry.polygon) number_field_to_AA() (in module flatsurf.geometry.matrix_2x2)

O

opposite_edge() (flatsurf.geometry.similarity_surface.AbstractOrigami method) (flatsurf.geometry.similarity_surface.MinimalTranslationCover method) (flatsurf.geometry.similarity_surface.Origami method) (flatsurf.geometry.similarity_surface.SimilaritySurface_generic method) (flatsurf.geometry.similarity_surface.SimilaritySurface_polygons_and_gluings method) (flatsurf.graphical.surface.GraphicalSurface method) Origami (class in flatsurf.geometry.similarity_surface)

OUTSIDE (flatsurf.geometry.polygon.PolygonPosition attribute)

P

plot() (flatsurf.geometry.polygon.ConvexPolygon method) (flatsurf.geometry.similarity_surface.TranslationSurface_generic method) (flatsurf.graphical.polygon.GraphicalPolygon method) (flatsurf.graphical.straight_line_trajectory.GraphicalSegmentInPolygon method) (flatsurf.graphical.straight_line_trajectory.GraphicalStraightLineTrajectory method) (flatsurf.graphical.surface.GraphicalSurface method) plot_edge() (flatsurf.graphical.polygon.GraphicalPolygon method) point() (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentVector method) polygon() (flatsurf.geometry.similarity_surface.AbstractOrigami method) (flatsurf.geometry.similarity_surface.MinimalTranslationCover method) (flatsurf.geometry.similarity_surface.SimilaritySurface_generic method) (flatsurf.geometry.similarity_surface.SimilaritySurface_polygons_and_gluings method) (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentVector method) polygon_iterator() (flatsurf.geometry.similarity_surface.SimilaritySurface_generic 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.polygon.GraphicalPolygon method)

polygon_labels() (flatsurf.geometry.similarity_surface.AbstractOrigami method) (flatsurf.geometry.similarity_surface.MinimalTranslationCover method) (flatsurf.geometry.similarity_surface.SimilaritySurface_generic method) (flatsurf.geometry.similarity_surface.SimilaritySurface_polygons_and_gluings method) polygon_options() (flatsurf.graphical.polygon.GraphicalPolygon method) PolygonCreator (class in flatsurf.geometry.polygon) PolygonPosition (class in flatsurf.geometry.polygon) Polygons (in module flatsurf.geometry.polygon) PolygonsConstructor (class in flatsurf.geometry.polygon) previous() (flatsurf.geometry.straight_line_trajectory.SegmentInPolygon method)

R

rectangle() (flatsurf.geometry.polygon.PolygonsConstructor method) regular_ngon() (flatsurf.geometry.polygon.PolygonsConstructor static method) regular_octagon() (in module flatsurf.geometry.polygon) RelativeHomology (class in flatsurf.geometry.relative_homology)

RelativeHomologyClass (class in flatsurf.geometry.relative_homology) right() (flatsurf.geometry.similarity_surface.AbstractOrigami method) (flatsurf.geometry.similarity_surface.Origami method) rotation_matrix_angle() (in module flatsurf.geometry.matrix_2x2)

S

s() (flatsurf.geometry.translation.Translation method) SegmentInPolygon (class in flatsurf.geometry.straight_line_trajectory) segments() (flatsurf.geometry.straight_line_trajectory.StraightLineTrajectory method) set_fill_color() (flatsurf.graphical.polygon.GraphicalPolygon method) set_label() (flatsurf.graphical.polygon.GraphicalPolygon method) set_outline_color() (flatsurf.graphical.polygon.GraphicalPolygon method) set_transformation() (flatsurf.graphical.polygon.GraphicalPolygon method) Similarity (class in flatsurf.geometry.similarity) similarity_from_vectors() (in module flatsurf.geometry.matrix_2x2) SimilarityGroup (in module flatsurf.geometry.similarity) SimilaritySurface_generic (class in flatsurf.geometry.similarity_surface) SimilaritySurface_polygons_and_gluings (class in flatsurf.geometry.similarity_surface)

SimilaritySurfaceTangentBundle (class in flatsurf.geometry.tangent_bundle) SimilaritySurfaceTangentVector (class in flatsurf.geometry.tangent_bundle) singularity() (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentVector method) square() (flatsurf.geometry.polygon.PolygonsConstructor method) start() (flatsurf.geometry.straight_line_trajectory.SegmentInPolygon method) (flatsurf.graphical.straight_line_trajectory.GraphicalSegmentInPolygon method) start_direction() (flatsurf.geometry.straight_line_trajectory.SegmentInPolygon method) start_is_singular() (flatsurf.geometry.straight_line_trajectory.SegmentInPolygon method) start_point() (flatsurf.geometry.straight_line_trajectory.SegmentInPolygon method) straight_line_trajectory() (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentVector method) StraightLineTrajectory (class in flatsurf.geometry.straight_line_trajectory) stratum() (flatsurf.geometry.similarity_surface.TranslationSurface_generic method) surface() (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentBundle method) (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentVector method)

T

t() (flatsurf.geometry.translation.Translation method) tangent_bundle() (flatsurf.geometry.similarity_surface.SimilaritySurface_generic method) tangent_vector() (flatsurf.geometry.similarity_surface.SimilaritySurface_generic method) terminal_segment() (flatsurf.geometry.straight_line_trajectory.StraightLineTrajectory method) terminal_tangent_vector() (flatsurf.geometry.straight_line_trajectory.StraightLineTrajectory method) transform() (flatsurf.graphical.polygon.GraphicalPolygon method)

transformation() (flatsurf.graphical.polygon.GraphicalPolygon method) transformed_vertex() (flatsurf.graphical.polygon.GraphicalPolygon method) Translation (class in flatsurf.geometry.translation) TranslationGroup (in module flatsurf.geometry.translation) TranslationSurface_generic (class in flatsurf.geometry.similarity_surface) TranslationSurface_polygons_and_gluings (class in flatsurf.geometry.similarity_surface)

U

up() (flatsurf.geometry.similarity_surface.AbstractOrigami method) (flatsurf.geometry.similarity_surface.Origami method)

V

vector() (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentVector method) vector_space (flatsurf.geometry.polygon.ConvexPolygons attribute) vector_space() (flatsurf.geometry.polygon.ConvexPolygon method) (flatsurf.geometry.polygon.PolygonCreator method) (flatsurf.geometry.similarity_surface.SimilaritySurface_generic method) (flatsurf.geometry.tangent_bundle.SimilaritySurfaceTangentBundle method) VERTEX (flatsurf.geometry.polygon.PolygonPosition attribute)

vertex() (flatsurf.geometry.polygon.ConvexPolygon method) vertices() (flatsurf.geometry.polygon.ConvexPolygon method) (flatsurf.graphical.polygon.GraphicalPolygon method) visible() (flatsurf.graphical.surface.GraphicalSurface method)

W

wedge_product() (in module flatsurf.geometry.polygon) weight() (flatsurf.geometry.relative_homology.RelativeHomologyClass method)

weighted_edges() (flatsurf.geometry.relative_homology.RelativeHomologyClass method)

Z

zero() (flatsurf.geometry.relative_homology.RelativeHomology method)