In the quest towards the development of new materials, in which the dimensions of the building units do not exceed a few atoms in at least one direction of the spaceorganic magnets built of spin chains or lamellae, for instance, or magnetic dots, wires and multilayers -the scientists are currently facing the influence of through-space interactions of dipolar origin. Basically, the concept of dipolar interaction is very familiar in solid state physics, and its manifestations at the macroscopic scale are well described in many textbooks [1], and actually used for magnetic applications. However, at the atomic scale, this interaction is mostly negligible and, when it occurs, the magnetic ordering is controlled by the quantum exchange mechanism which usually prevails in 3D networks.In this chapter, we demonstrate that the dipole-dipole interaction may have a foremost importance when considering low dimensional magnetic materials, made of strongly correlated objects of dimensionality zero (0D), one (1D) or two (2D) interacting through a weak interaction of dipolar origin. The aim is not to provide an exhaustive review on the dipolar interaction effects in magnetic materials but rather an outlook, both theoretical and experimental, on the magnetic ordering of 0D to 2D units embedded in higher dimensionality systems.From a fundamental viewpoint, magnetic ordering due to pure dipole-dipole interaction is a clean phase transition problem since the related Hamiltonian does not involve any adjustable parameter: unlike the exchange-coupled systems, one cannot change the form and the magnitude of the interaction in order to improve the agreement between theory and experiment. Therefore, experimental observations provide a direct answer for testing the models used to predict the magnetic structure and the ordering temperature, if observed.From the applied physics viewpoint, the pure dipole-dipole interaction is essentially an academic problem as long as only ionic/atomic moments are involved. Indeed the expected dipolar ordering temperature is of the order of µM s /k B (M s is the saturation magnetization and µ the individual moment) that is at most a few Kelvin for rare earth compounds. Nevertheless, there is nowadays a large renaissance of interest for pure dipole systems that involve not individual atomic moments but magnetic assemblies comprising a large number of strongly exchange coupled atomic moments. Indeed the magnetic ordering temperature for such systems can be much higher than in classical dipole systems because the magnetic moment µ of the objects Magnetism: Molecules to Materials IV. Edited by Joel S. Miller and Marc Drillon