straight_line_trajectory

class flatsurf.graphical.straight_line_trajectory.GraphicalSegmentInPolygon(segment, graphical_surface)

Create a graphical segment from a graphical surface and a SegmentInPolygon.

end()

Return the end point as a RDF Vector.

plot(**options)

EXAMPLES:

sage: from flatsurf import similarity_surfaces
sage: s = similarity_surfaces.example()
sage: v = s.tangent_vector(0, (1,-0.5), (3,-1))
sage: from flatsurf.geometry.straight_line_trajectory import SegmentInPolygon
sage: seg = SegmentInPolygon(v)
sage: from flatsurf.graphical.straight_line_trajectory import GraphicalSegmentInPolygon
sage: gseg = GraphicalSegmentInPolygon(seg, s.graphical_surface())
sage: gseg.plot()
...Graphics object consisting of 1 graphics primitive

sage: gseg.plot(color='red')
...Graphics object consisting of 1 graphics primitive

polygon_label()

start()

Return the start point as a RDF Vector.

class flatsurf.graphical.straight_line_trajectory.GraphicalStraightLineTrajectory(trajectory, graphical_surface=None)

Allows for the rendering of a straight-line trajectory through a graphical surface.

plot(**options)

EXAMPLES:

sage: from flatsurf import similarity_surfaces
sage: s = similarity_surfaces.example()
sage: gs = s.graphical_surface()
sage: K.<sqrt2>=NumberField(x^2-2,embedding=1)
sage: v = s.tangent_vector(0, (1,-1), (sqrt2,-1),ring=K)
sage: traj = v.straight_line_trajectory()
sage: traj.flow(100)
sage: traj.flow(-5)
sage: gtraj = traj.graphical_trajectory(gs)
sage: gs.plot() + gtraj.plot()
...Graphics object consisting of 119 graphics primitives