A sphere has no faces, edges or vertices. By definition, it is a curved three-dimensional geometric figure whose surface is defined as the set of all the points equidistant from its center point.
A vertex is a point where two or more straight lines meet. Since a sphere has no straight lines, it also has no vertices. An edge is a line segment that joins two vertices. Since a sphere has no vertices, it also has no edges. A face is defined as a flat surface of a three-dimensional figure. The continuously curving surface of a sphere has no flat places, and so a sphere has no faces.