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In geometry, a vertex (plural "vertices") is a special kind of point. The vertex of an angle is the point where two rays begin or meet, where two line segments join or meet, where two lines cross (intersect), or any appropriate combination of rays, segments and lines that result in two straight "sides" meeting at one place. A vertex is a corner point of a polygon, polyhedron, or other higher dimensional polytope, formed by the intersection of edges, faces or facets of the object a vertex of a polygon is the point of intersection of two edges, a vertex of a polyhedron is the point of intersection of three or more edges or faces, and a vertex of a d-dimensional polytope is the intersection point of d or more edges, faces or factes. In a polygon, a vertex is called "convex" if the internal angle of the polygon, that is, the angle formed by the two edges at the vertex, with the polygon inside the angle, is less than p radians; otherwise, it is called "concave" or "reflex". More generally, a vertex of a polyhedron or polytope is convex if the intersection of the polyhedron or polytope with a sufficiently small sphere centered at the vertex is convex, and concave otherwise.
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Vertex (geometry) Subcategories
Vertex (geometry) Articles
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