The exact solutions of the Korteweg-de Vries (KdV) equation obtained by travelling wave and similarity reductions may be expressed in terms of elliptic functions and Painleve transcendents respectively. Discrete versions of the KdV equation may be obtained from chains of commuting Backlund transformations of the KdV equation. These systems are considered integrable in their own right. This introductory talk will demonstrate how solutions obtained as reductions of the discrete KdV equation give us discrete analogues of elliptic equations and discrete Painleve equations, mimicking the case for the KdV equation.