The aim of this work is to gain statements on the classification of tiling systems over the d-dimensional cubic lattice as more-dimensional topological dynamical systems. In the centre of consideration is the characterization of topological entropy as an important invariant with respect to topological conjugacy as well as the clearing up of the structure of tiling systems regarding to topological factors. Above all, the geometric structure of the tilings should be used for it. For this purpose the considerations are restricted to the class of cuboid systems as a geometrically simple describable subclass. Chapter 1 contains the introduction of essential notions and statements on the connection between tiling systems and point configuration spaces in the sense of Ruelle. In particular, we go into the difference of the usefulness of a matrix calculation between dimension d=1 and d>1. Chapter 2 is devoted to the investigation of topological entropy of the shift-action on d-dimensional cuboid systems. For lattice dimension d=1 on the basis of an eigenvalue equation systems of equal entropy are characterized. For dimensions d>1 we answer the question after the structure of cuboid systems with zero entropy. Further there is worked out a method to obtain upper and lower bounds for the entropy of any more-dimensional cuboid system. In chapter 3 there is investigated the notion of topological factor for the class of d-dimensional cuboid systems. Using well-known results on the connection of periodictiy, topological entropy and factor notion it is given a complete characterization of factor relations between one-dimensional cuboid systems. Further it is investigated the existence of factor cuboid systems with zero entropy for cuboid systems of any dimension. As a result, essential qualitative differences between systems of dimensions d>1 and d=1 in their structure with respect to topological factors become clear. In chapter 4 there is introduced the notion of a self-affine tiling over the cubic lattice. The sub-tiling system which is generated by a self-affine tiling is shown to be uniquely ergodic. Mixing properties of the measuretheoretical dynamical system are investigated.