ABSTRACT

About polygons. A traditional polygon is a closed object created by connecting a number of line segments, n , to one another in sequential order. A closed object means that the starting point and the ending point are the same. It is worthwhile to call the starting point P 0 and the final point P n and to note that, since the system is closed, P 0 = P n . That way, we can describe the segment number by its endpoint. The points and line segments are subject to the following three properties:

All points (except the noted P 0 = P n ) are different from one another.

The line segments cannot intersect (meaning cross over one another), except at their endpoint.

No two line segments with a common endpoint are collinear (meaning on the same line).