what is vertices

In geometry, a vertex is a point where two or more curves, lines, or edges meet or intersect). In 2D and 3D shapes, vertices are the corners of polygons and polyhedra). For example, a cube has eight vertices. In graph theory, vertices may have fewer than two incident edges, which is usually not allowed for geometric vertices). There is also a connection between geometric vertices and the vertices of a curve, its points of extreme curvature: in some sense, the vertices of a polygon are points of infinite curvature, and if a polygon is approximated by a smooth curve, there will be a point of extreme curvature near each polygon vertex).