Abstract
The Active Galaxy Nuclei AGN are systems whose behavior shows high complexity and multidependency of evolutionary parameters. With this consideration, it is proposed the fractal characterization of an AGN using the analysis of Lacunarity and fractal dimension as a methodology to quantify dynamic space patterns. In general, the fractal set of complex dynamic systems only show invariance at big scales. In order to study the processes that define the morphologic characteristics of a set, it is necessary to establish parameters that show the distribution of dimension and scales. This measurement can be obtained by considering the variations of both, multyfractal spectrum and Lacunarity of the same set. For an AGN, the filling factor is a distribution measurement of the densely grouped electrons in the Broad Line Region BLR. This region plays an important role in the object morphology. we in this paper carry out the analogy between the filling factor and Lacunarity, with this, we give a new approach for both the dynamic and morphologic study of the AGN.