A two-dimensional rectangle has four vertices, and a three-dimensional rectangle has eight. The differences between the two figures are the number of sides and points of intersection.
The geometric definition of a vertex is a point in a geometric solid where three or more sides intersect or where two sides intersect in a plane figure. Therefore, a vertex is a corner in a rectangle. There is another definition of a vertex, which is defined as a point farthest from the base. However, a rectangle may have many bases as opposed to a triangle, which has a side that is primarily used for the base.