vertexs

A vertex is a fundamental point in geometry and related fields. In two dimensions, it is the point where two or more line segments meet or the corner of a polygon. In three dimensions, a vertex is a point where edges meet on a polyhedron or polyhedral surface.

In graph theory, a vertex (plural: vertices) is a node of a graph, connected by edges. The degree of a vertex is the number of incident edges; loops contribute twice to the degree.

In planar geometry and topology, the handshaking lemma states that the sum of the degrees of all vertices equals twice the number of edges. Euler's formula V - E + F = 2 relates the numbers of vertices V, edges E, and faces F of a convex polyhedron.

In computer graphics and geometric processing, a vertex is a point in space with attributes such as position, normal vector, color, and texture coordinates. Vertices are linked into polygons to form meshes; graphics pipelines use vertex buffers and vertex shaders to process them.

Usage notes: The standard plural of vertex is vertices. Vertexes and vertexs are historically seen but considered incorrect or uncommon in mathematical contexts, and vertexs is widely regarded as a misspelling.

Examples: a square has four vertices; a cube has eight vertices; a tetrahedron has four vertices.