Vertex

Vertex

A vertex (plural: vertices) is a fundamental concept in various fields such as mathematics, computer science, and geometry. It generally refers to a point where two or more curves, edges, or lines meet. The term is derived from the Latin word "vertex," meaning "peak" or "summit."

In Mathematics

In mathematics, a vertex is a point where two or more line segments or curves meet. For example, in a polygon, a vertex is a corner where two sides meet. In a polyhedron, a vertex is a point where three or more edges meet.

Graph Theory

In graph theory, a vertex (also called a node) is one of the fundamental units of which graphs are formed. A graph is a collection of vertices connected by edges. Vertices can represent various entities such as computer network nodes, social network members, or city intersections.

Geometry

In geometry, a vertex is a point where two or more curves, lines, or edges meet. For example, the vertices of a triangle are the points where its three sides intersect. Similarly, the vertices of a cube are the points where its edges meet.

In Computer Science

In computer science, particularly in computer graphics and computational geometry, a vertex is a data structure that represents a point in space. Vertices are used to define the shape of 3D models and 2D shapes. They are often used in meshes, which are collections of vertices, edges, and faces that define the shape of a 3D object.

In Medicine

In medicine, the term vertex is used to describe the top of the head. It is a critical reference point in various medical examinations and procedures, particularly in obstetrics, where the position of the fetal vertex is crucial during childbirth.

Related Pages

• Edge (geometry)
• Graph theory
• Polygon
• Polyhedron
• Computer graphics
• Computational geometry
• Mesh (computer graphics)
• Obstetrics