By symmetry, an equal number of polygons of each kind pass through each vertex; so it is possible to account for all 120 vertices as the intersection of a set of central polygons of only one kind: decagons, hexagons, pentagons, squares, or triangles. For example, the 120 vertices can be seen as the vertices of 4 sets of 6 orthogonal central pentagons which do not share any vertices. This pentagonal symmetry of the 600-cell is revealed by its Hopf coordinates (𝜉"i", 𝜂, 𝜉"j") which can be given as: