What is a vertice?

A vertice (plural: vertices) is a point where the edges of a polygon, polyhedron, or other geometric shape meet. Vertices are also commonly referred to as corners. The term "vertice" comes from the Latin word "vertex," which means "apex" or "highest point."

In geometry, vertices are important because they define the shape and size of a figure. For example, the number of vertices in a polygon determines its shape and the number of sides it has. In a three-dimensional shape like a polyhedron, the vertices indicate the corners where the faces of the shape meet.

Vertices also have several other important properties, including degree, valence, and adjacency. Degree refers to the number of edges that are connected to a vertice. Valence refers to the number of other vertices that are adjacent to a particular vertice. Adjacency refers to whether two vertices are connected by an edge in a shape or graph.

Overall, vertices are a fundamental aspect of geometry and are used extensively in mathematical modeling, computer graphics, and other fields.