I thought on a hyperbolic plane all geodesics are lines/arcs across the plane whose endpoints are perpendicular to the boundary of the plane.
I've heard that all geodesics on a hyperbolic plane either
- intersect ("meet") once (somewhere in the middle of the plane)
- meet once at the boundary
- don't meet
How can two different geodesics meet at the boundary?
Drawing a line perpendicular to the boundary of a hyperbolic plane... why doesn't this lead to only a single unique geodesic for every point on the boundary?