In the open universe, you are constantly veering off - no matter which direction you choose to travel, you are always, ultimately or relatively, going away from everything else.
Saddles, spheres or sheets of paper? The saddles becomes the sphere in reverse time and so the sphere becomes the saddle. The space and time curves and uncurves, curves and unnerves. Where is the edge? is a question. The universe seems to be beyond geometry. It builds itself somewhere in our collective mind now, instead.