Index

A

a_realization() (sage.geometry.hyperbolic_space.hyperbolic_interface.HyperbolicPlane method) angle() (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesic method) (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesicUHP method)

attracting_fixed_point() (sage.geometry.hyperbolic_space.hyperbolic_isometry.HyperbolicIsometry method) (sage.geometry.hyperbolic_space.hyperbolic_isometry.HyperbolicIsometryUHP method) axis() (sage.geometry.hyperbolic_space.hyperbolic_isometry.HyperbolicIsometry method)

B

bdry_point_test() (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModel method) boundary_point_in_model() (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModel method) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModelHM method) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModelKM method) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModelPD method) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModelUHP method)

C

classification() (sage.geometry.hyperbolic_space.hyperbolic_isometry.HyperbolicIsometry method) (sage.geometry.hyperbolic_space.hyperbolic_isometry.HyperbolicIsometryUHP method) common_perpendicula() (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesic method)

common_perpendicular() (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesicUHP method) complete() (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesic method) coordinates() (sage.geometry.hyperbolic_space.hyperbolic_point.HyperbolicPoint method)

D

dist() (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesic method) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModel method)

E

Element (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModel attribute) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModelUHP attribute)

end() (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesic method) endpoints() (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesic method)

F

fixed_geodesic() (sage.geometry.hyperbolic_space.hyperbolic_isometry.HyperbolicIsometry method)

fixed_point_set() (sage.geometry.hyperbolic_space.hyperbolic_isometry.HyperbolicIsometry method) (sage.geometry.hyperbolic_space.hyperbolic_isometry.HyperbolicIsometryUHP method)

G

get_background_graphic() (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModelHM method) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModelKM method) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModelPD method) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModelUHP method)

get_geodesic() (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModel method) get_isometry() (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModel method) get_point() (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModel method) graphics_options() (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesic method) (sage.geometry.hyperbolic_space.hyperbolic_point.HyperbolicPoint method)

H

HM (sage.geometry.hyperbolic_space.hyperbolic_interface.HyperbolicPlane attribute) HyperbolicGeodesic (class in sage.geometry.hyperbolic_space.hyperbolic_geodesic) HyperbolicGeodesicHM (class in sage.geometry.hyperbolic_space.hyperbolic_geodesic) HyperbolicGeodesicKM (class in sage.geometry.hyperbolic_space.hyperbolic_geodesic) HyperbolicGeodesicPD (class in sage.geometry.hyperbolic_space.hyperbolic_geodesic) HyperbolicGeodesicUHP (class in sage.geometry.hyperbolic_space.hyperbolic_geodesic) HyperbolicIsometry (class in sage.geometry.hyperbolic_space.hyperbolic_isometry) HyperbolicIsometryKM (class in sage.geometry.hyperbolic_space.hyperbolic_isometry) HyperbolicIsometryPD (class in sage.geometry.hyperbolic_space.hyperbolic_isometry) HyperbolicIsometryUHP (class in sage.geometry.hyperbolic_space.hyperbolic_isometry) HyperbolicModel (class in sage.geometry.hyperbolic_space.hyperbolic_model)

HyperbolicModelHM (class in sage.geometry.hyperbolic_space.hyperbolic_model) HyperbolicModelKM (class in sage.geometry.hyperbolic_space.hyperbolic_model) HyperbolicModelPD (class in sage.geometry.hyperbolic_space.hyperbolic_model) HyperbolicModels (class in sage.geometry.hyperbolic_space.hyperbolic_interface) HyperbolicModels.ParentMethods (class in sage.geometry.hyperbolic_space.hyperbolic_interface) HyperbolicModelUHP (class in sage.geometry.hyperbolic_space.hyperbolic_model) HyperbolicPlane (class in sage.geometry.hyperbolic_space.hyperbolic_interface) HyperbolicPoint (class in sage.geometry.hyperbolic_space.hyperbolic_point) HyperbolicPointUHP (class in sage.geometry.hyperbolic_space.hyperbolic_point) HyperbolicSpace() (in module sage.geometry.hyperbolic_space.hyperbolic_interface) Hyperboloid (sage.geometry.hyperbolic_space.hyperbolic_interface.HyperbolicPlane attribute)

I

ideal_endpoints() (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesic method) (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesicUHP method) intersection() (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesic method) (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesicUHP method) inverse() (sage.geometry.hyperbolic_space.hyperbolic_isometry.HyperbolicIsometry method) is_asymptotically_parallel() (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesic method) is_boundary() (sage.geometry.hyperbolic_space.hyperbolic_point.HyperbolicPoint method) is_bounded() (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModel method) is_complete() (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesic method) is_conformal() (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModel method) is_identity() (sage.geometry.hyperbolic_space.hyperbolic_isometry.HyperbolicIsometry method)

is_isometry_group_projective() (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModel method) is_parallel() (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesic method) is_ultra_parallel() (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesic method) isometry_from_fixed_points() (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModel method) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModelUHP method) isometry_in_model() (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModel method) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModelHM method) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModelKM method) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModelPD method) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModelUHP method) isometry_test() (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModel method)

K

KleinDisk (sage.geometry.hyperbolic_space.hyperbolic_interface.HyperbolicPlane attribute)

KM (sage.geometry.hyperbolic_space.hyperbolic_interface.HyperbolicPlane attribute)

L

length() (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesic method)

M

matrix() (sage.geometry.hyperbolic_space.hyperbolic_isometry.HyperbolicIsometry method) midpoint() (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesic method) (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesicUHP method)

model() (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesic method) (sage.geometry.hyperbolic_space.hyperbolic_isometry.HyperbolicIsometry method) (sage.geometry.hyperbolic_space.hyperbolic_point.HyperbolicPoint method) moebius_transform() (in module sage.geometry.hyperbolic_space.hyperbolic_isometry)

N

name() (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModel method)

P

PD (sage.geometry.hyperbolic_space.hyperbolic_interface.HyperbolicPlane attribute) perpendicular_bisector() (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesic method) (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesicUHP method) plot() (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesicHM method) (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesicKM method) (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesicPD method) (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesicUHP method) PoincareDisk (sage.geometry.hyperbolic_space.hyperbolic_interface.HyperbolicPlane attribute)

point_in_model() (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModel method) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModelHM method) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModelKM method) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModelPD method) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModelUHP method) point_test() (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModel method) preserves_orientation() (sage.geometry.hyperbolic_space.hyperbolic_isometry.HyperbolicIsometry method) (sage.geometry.hyperbolic_space.hyperbolic_isometry.HyperbolicIsometryPD method) (sage.geometry.hyperbolic_space.hyperbolic_isometry.HyperbolicIsometryUHP method)

R

random_element() (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModel method) random_geodesic() (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModel method) random_isometry() (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModel method) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModelUHP method) random_point() (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModel method) (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModelUHP method)

reflection_involution() (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesic method) (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesicUHP method) repelling_fixed_point() (sage.geometry.hyperbolic_space.hyperbolic_isometry.HyperbolicIsometry method) (sage.geometry.hyperbolic_space.hyperbolic_isometry.HyperbolicIsometryUHP method)

S

sage.geometry.hyperbolic_space.hyperbolic_geodesic (module) sage.geometry.hyperbolic_space.hyperbolic_interface (module) sage.geometry.hyperbolic_space.hyperbolic_isometry (module) sage.geometry.hyperbolic_space.hyperbolic_model (module) sage.geometry.hyperbolic_space.hyperbolic_point (module) short_name() (sage.geometry.hyperbolic_space.hyperbolic_model.HyperbolicModel method) show() (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesicHM method) (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesicKM method) (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesicPD method) (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesicUHP method) (sage.geometry.hyperbolic_space.hyperbolic_point.HyperbolicPoint method) (sage.geometry.hyperbolic_space.hyperbolic_point.HyperbolicPointUHP method)

start() (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesic method) super_categories() (sage.geometry.hyperbolic_space.hyperbolic_interface.HyperbolicModels method) symmetry_involution() (sage.geometry.hyperbolic_space.hyperbolic_point.HyperbolicPoint method) (sage.geometry.hyperbolic_space.hyperbolic_point.HyperbolicPointUHP method)

T

to_model() (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesic method) (sage.geometry.hyperbolic_space.hyperbolic_isometry.HyperbolicIsometry method) (sage.geometry.hyperbolic_space.hyperbolic_point.HyperbolicPoint method)

translation_length() (sage.geometry.hyperbolic_space.hyperbolic_isometry.HyperbolicIsometry method) (sage.geometry.hyperbolic_space.hyperbolic_isometry.HyperbolicIsometryUHP method)

U

UHP (sage.geometry.hyperbolic_space.hyperbolic_interface.HyperbolicPlane attribute) update_graphics() (sage.geometry.hyperbolic_space.hyperbolic_geodesic.HyperbolicGeodesic method) (sage.geometry.hyperbolic_space.hyperbolic_point.HyperbolicPoint method)

UpperHalfPlane (sage.geometry.hyperbolic_space.hyperbolic_interface.HyperbolicPlane attribute)