def get_background_graphic(self, **bdry_options):
r"""
Return a graphic object that makes the model easier to visualize.
For the hyperboloid model, the background object is the hyperboloid
itself.
EXAMPLES::
sage: H = HyperbolicPlane().HM().get_background_graphic()
"""
from sage.plot.plot3d.all import plot3d
from sage.all import var
hyperboloid_opacity = bdry_options.get('hyperboloid_opacity', .1)
z_height = bdry_options.get('z_height', 7.0)
x_max = sqrt((z_height ** 2 - 1) / 2.0)
(x, y) = var('x,y')
return plot3d((1 + x ** 2 + y ** 2).sqrt(),
(x, -x_max, x_max), (y,-x_max, x_max),
opacity=hyperboloid_opacity, **bdry_options)
def get_background_graphic(self, **bdry_options):
r"""
Return a graphic object that makes the model easier to visualize.
For the hyperboloid model, the background object is the hyperboloid
itself.
EXAMPLES::
sage: H = HyperbolicPlane().HM().get_background_graphic()
"""
from sage.plot.plot3d.all import plot3d
from sage.all import SR
hyperboloid_opacity = bdry_options.get('hyperboloid_opacity', .1)
z_height = bdry_options.get('z_height', 7.0)
x_max = sqrt((z_height ** 2 - 1) / 2.0)
x = SR.var('x')
y = SR.var('y')
return plot3d((1 + x ** 2 + y ** 2).sqrt(),
(x, -x_max, x_max), (y,-x_max, x_max),
opacity=hyperboloid_opacity, **bdry_options)