What are the faces, edges, vertices, and diagonals of a polygon. Give examples of polyhedra.

A face is a flat surface of an object that makes an angle with another similar surface.

An edge is a line segment connecting two vertices of a polygon or polyhedron (in dimensions 3 and higher). In polygons, an edge is a line segment that lies on the boundary and is more often called the side of the polygon. In three-dimensional polyhedra and in polyhedra of higher dimension, an edge is a segment common to two faces.

A diagonal is a line segment connecting non-adjacent vertices of a polygon or polyhedron.

A vertex is a point at which two curves, two straight lines, or two edges converge. From this definition it follows that the point at which two rays converge, forming an angle, is a vertex, and also it is the corner points of polygons and polyhedra.

Types of polyhedra: tetrahedron, octahedron, cube