Let me try this again, from left to right, not a Polygon (not a single ‘series’ of connected Edges), not a Polygon and a Polygon:

Introducing the notion of a Border of a Polygon, where one side of the border is part of the Polygon and the other side is not. So you have an inside and an outside of the Polygon.
Now, first construction has two borders, the middle construction has an Edge that is not a Border, because both sides are inside the ‘not-polygon’…
Not so easy to explain…but I hope it helps a bit..