Abstract <p>An additive model has been developed for calculating the combinatorial (Shannon-like) complexity of the signature of a natural tiling, which is used to describe the topological properties of micro- and mesoporous materials, in particular, zeolites. To calculate the complexity of this type, a Python program code has been compiled. The code was tested for zeolite-type tilings. Correlations of the calculated complexity of the signature of the tiling and the combinatorial complexity of the structure-generating tiling were found.</p>