A vertex is a point in between sides of a polygon (shape). Vertices are more than one vertex. For instance a triangle has three verticies or a square has four vertices. A vertex is between at least two edges (sides) In geometry, an edge is a line segment joining two adjacent vertices in a polygon. Thus applied, an edge is a connector for a one-dimensional line segment and two zero-dimensional objects. A planar closed sequence of edges forms a polygon (and a face). In a polyhedron, exactly two faces meet at every edge, while in higher dimensional polytopes, three or more faces meet at an edge. In a polygon, an edge can also be called a facet or side, bounding the polygon. In a polyhedron, an edge can also be considered a ridge, being the shared boundary between two faces, and in a 4- polytope, an edge can be considered a peak, with a cycle of 3 or more faces and cells wrapping around it. For an undirected graph, an unordered pair of nodes that specify a line joining these two nodes are said to form an edge. For a directed graph, the edge is an ordered pair of nodes. The terms \"arc,\" \"branch,\" \"line,\" \"link,\" and \"1-simplex\" are sometimes used instead of edge Solution A vertex is a point in between sides of a polygon (shape). Vertices are more than one vertex. For instance a triangle has three verticies or a square has four vertices. A vertex is between at least two edges (sides) In geometry, an edge is a line segment joining two adjacent vertices in a polygon. Thus applied, an edge is a connector for a one-dimensional line segment and two zero-dimensional objects. A planar closed sequence of edges forms a polygon (and a face). In a polyhedron, exactly two faces meet at every edge, while in higher dimensional polytopes, three or more faces meet at an edge. In a polygon, an edge can also be called a facet or side, bounding the polygon. In a polyhedron, an edge can also be considered a ridge, being the shared boundary between two faces, and in a 4- polytope, an edge can be considered a peak, with a cycle of 3 or more faces and cells wrapping around it. For an undirected graph, an unordered pair of nodes that specify a line joining these two nodes are said to form an edge. For a directed graph, the edge is an ordered pair of nodes. The terms \"arc,\" \"branch,\" \"line,\" \"link,\" and \"1-simplex\" are sometimes used instead of edge.