Cellular automata: When irregularity meets reality

Summary form only given. Cellular automata (CA), have aroused numerous researchers' interest, which comes forward by the growing number of publications on these topics. In fundamental sciences, much attention has been paid to the dynamical properties of CA, whereas many sound CA-based models have been developed in various scientific disciplines such as epidemiology, geography, (micro)biology, medical science, and many others. Few recent studies have highlighted CA on other regular tessellations of the Euclidean plane, most studies use a square tessellation of the two-dimensional Euclidean space owing to its implementational simplicity and computational efficiency. CA on irregular tessellations can be conceived. Such tessellations can be obtained easily by relying on a rich variety of already well-established tessellation methods, such as the Delaunay tessellation, which are often built-in in mathematical software packages or are distributed free of charge as add-ons.