The definition of polygon can be traced back to triangle in Euclid geometry and quadrilateral in plane geometry. In plane geometry, a polygon is defined as a closed figure consisting of three or more straight line segments, in which two endpoints of each straight line segment are a vertex of the polygon and all vertices are on the same plane.
The concept of polygon can be extended to polyhedron in three-dimensional space, in which each face is a polygon. A polyhedron can be composed of many different faces, such as cubes, tetrahedrons, octahedrons and so on.
In three-dimensional geometry, each face of a polyhedron can be composed of different numbers of edges and vertices. For example, a cube has six faces, each of which is a regular quadrilateral, while a tetrahedron has four faces, each of which is a regular triangle.
In addition to applications in geometry, polygons can also be used in computer graphics to render and simulate 3D scenes. In computer graphics, polygons are represented as a series of vertices, and each vertex has an X, Y and Z coordinate to describe its position in 3D space. By using different vertex sequences and rendering techniques, polygon objects with different shapes and appearances can be created.
Advantages of learning mathematics
People who are good at math are relatively smart and savvy, and they can show their advantages in dealing with people. The faster you think, the more ways and ideas you have. Mathematics is the foundation of other disciplines, and it is easier for people who learn mathematics well to get into other disciplines. Learning software, computer, finance and other engineering majors is even more handy.
It is used everywhere in life. Nowadays, the society is an information society, and mathematical knowledge is used in financial management and computers. Mathematics can cultivate people's integrity and honesty. Mathematics pays the most attention to convincing people by reasoning, and only believes in the results of logical reasoning. Mathematics can be used to cultivate people's tenacity and courage. Mathematics can cultivate people's overall consciousness. Mathematics can cultivate people's good character.