If a polygon is self intersecting, is there any way to calculate its angle sum of the interior angles perhaps in terms of the number of sides and the number of points of intersection?
Note we define interior angles to be the angles you get when you FOLLOW the polygon (the angle could be on the exterior of the shape). Exterior angles are simply the complement of the interior ones.
I have worked on this and found that it seems to rely on the number of times you do a 360 degree turn while following the edges of the polygon.
Do you think that this can be related to the number of points of intersection or something else?
I would really like to be enlightened on this issue.