"Non-orientable surface" is the thing. The surface of that thing is not orientable. That means you can't draw some normal vector to define the surface. When you traverse through the surface with a normal vector you can end up in the same point with that vector pointing the opposite direction in such a surface. That gives two directions for the same point or in other words you can't define the surface like that with a normal vector. Its the surface and not the shape itself that is non-orientable