The spring is the scenario universe of the pole, and the other pole its only reference. A pole exists to look in the mirror. The spring defining the polarity concerns itself only with the polarity, and not with its being parallel, perpendicular, or otherwise angularly related to another spring aside from the smoothness of path relationships discussed below. Only when three springs are connected in a triangle do meaningful angular relationships emerge for the outside viewer, and they are both fully dependent on the lengths and non-rigid like the springs themselves. We have observed that nature contains no absolute rigidity, and it can also can be said to have no absolute sharpness.
Every sharp turn is a bend when observed at a fine enough scale.
The scale of springs or elastic intervals are considered to be at the level of magnification which would be needed to see a sharp corner bend smoothly. In other words, the apparent sharp joining points where springs connect are illusory, and rendering a spring between two spots as a straight line is only for the sake of convenience. A truer rendering would be much more difficult to create, but we may hope to build appropriate computer images soon. The idea is that a spring is more closely represented by rounder forms like spheres or circles. A lone spring, unstressed of course, should be seen as a sphere with poles opposite each other, and consisting of limitless numbers of different great-circle paths converging at these poles.