Linked from
The 20 pages that link to Vertex (geometry), each with the reason it gives.
AngleBroader topic: The shared endpoint of an angle’s rays is its vertex.
PolygonBroader topic: Each polygon vertex joins two consecutive sides.
DiagonalBroader topic: A diagonal connects a pair of polygon or polyhedron vertices.
Simplicial complexBroader topic: Vertices are the basic elements from which every simplex is formed.
3D modelingBroader topic: Mesh vertices provide the positions from which edges and faces are formed.
Kawasaki's theoremBroader topic: The theorem concerns crease rays meeting at a single vertex.