I have a bounded region in the euclidean plane.
I'm looking for the proper terminology for an ordinary, smooth boundary point of the region... ie: it's not a corner and it's not a cutpoint.
So if the region is a square, it would be the points of the boundary other than the corners. If the region is a figure 8, it would the points of the boundary other than the self-intersection point of the boundary.
What's the proper terminology in topology for such a point on the boundary?