Combinatorial complexity of the signature of a natural tiling

An additive model has been developed for calculating the combinatorial (Shannon-like) complexity of a signature of the 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 tilings of a zeolite type. Correlations of the calculated complexity of a signature of the tiling and the combinatorial complexity of the tiling-generating structure were found.