I was playing around with geometry and trying to come up with a definition of boundary points of a polygon and I came up with something like this: P is a boundary point of a polygon if and only if there exists a point A in 2D space such that for all points K in line segment AP (but excluding P), K is NOT a point of the polygon (where a polygon would be some set of points in 2D space). Does that even make sense? What do you think about this? Can you send me some resources that touch upon this topic?
-high schooler with a little bit of interest in higher maths