Vertex
The common endpoint of an angle. (Where the sides intersect.)
In mathematics, a vertex is a point where two or more lines, edges, or curves meet. In geometry, it is usually used to refer to the point of intersection of two sides of a polygon. In graph theory, a vertex is one of the fundamental elements of a graph, which is used to represent objects and their relationships. Each vertex in a graph is usually represented by a dot or a circle, and two vertices are connected by an edge. The collection of all vertices and edges in a graph form the structure of the graph.
In three-dimensional space, a vertex refers to a point where three or more edges or faces meet. Vertices of three-dimensional objects are usually represented by dots or circles, and they play an important role in determining the shape and structure of the object.
The concept of vertex is used in various fields of mathematics such as geometry, topology, graph theory, and algebraic geometry. In each of these fields, vertices play an important role in defining and calculating the properties of geometric shapes, graphs, and algebraic structures.
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