In geometry, a polygon is a plane figure that is bounded by a closed path or circuit, composed of a finite sequence of straight line segments (that is, by a closed polygonal chain). These line segments are called its edges or sides, and the points where two edges meet are the polygon's vertices or corners. The interior of the polygon is called its body. A polygon is a 2-dimensional example of the more general "polytope" in any number of dimensions.
From a Unification perspective, several points can be made:
- A polygon is an umbrella term for several fundamental geometric shapes, including triangles, squares, and hexagons. To define, study, and measure polygons requires mental attributes such as intelligence and rational thought. These attributes stem from our spiritual dimension, which sets us apart from all other known species on Earth. In addition, these attributes are reflections of God's intelligence and rational thought.
- The study of polygons individually and in groups has revealed how they are related to one another and to polyhedra (in three-dimensions) and polytopes (in multiple dimensions). Thus, through understanding and manipulating polygons, various structures can be obtained. This stimulates our creativity, both intellectually and in practice.
- Our knowledge of polygons is also extremely useful for engineers and architects who wish to design things or structures. Thus, this knowledge serves humanity in practical ways as well.
- When we use our knowledge of mathematics and other subjects for the benefit of others, we break down the barriers that separate us from one another and we make progress toward building a peaceful, joyful world.