For the bigger-is-better type student, the 10 universities with the largest undergraduate populations in fall 2013 enrolled an average of 43,186 students. Among the 1,248 ranked universities responding to an annual U.S. News survey, the average was 6,154.
In geometry, a vertex (plural vertices) is a special kind of point that describes the corners or intersections of geometric shapes.
I believe that GEOMETRY refers to the lewis structure without considering lone pair electrons. SHAPE refers to the three-dimensional structure with lone pair electrons included (all the orbitals). For example, the GEOMETRY of water is bent (because the electrons don't count for the GEOMETRY) and the SHAPE is tetrahedral (electron lone pairs are included). Hope that helps.