Linked from
The 20 pages that link to Vertex (geometry), each with the reason it gives.
Euler characteristicRelated: Vertices provide the zero-dimensional terms in the classical count.
CircumcenterRelated: The three vertices are the points equidistant from the circumcenter.
Interior angleRelated: The two adjacent sides forming an interior angle meet at a polygon vertex.
ParabolaRelated: It marks the parabola’s turning point and lies halfway between focus and directrix.
QuadrilateralRelated: Four vertices mark the corners where a quadrilateral’s sides join.
Platonic solidRelated: The same number of faces must meet at each Platonic solid vertex.
TetrahedronRelated: Four vertices are the tetrahedron’s corners.
Edge coverRelated: An edge cover must include an edge incident to every vertex.