Polygons

Guns fun. You’re going to show that we can start with something has a very simple definition and then change it by adding to the definition.

By defining a line segment mess. A line segment consists of several line segments and their endpoints may or may not be joint to the endpoints of other line segments.

I add the stipulation that the structure must be closed. This forces the structure to become a polygon. This forces every endpoint to participate in a connection to another endpoint and it makes it impossible for three or more endpoints to share a location.

If I go to a textbook and read what they wrote, I discover I missed one thing. A polygon must be restricted to existing in a plane. It is two dimensional.

If additional five point star we have created a self intersecting polygons. If we draw a pentagon there is no intersection and it is thus a simple polygon