Radial Cellular Automaton

Radial cellular automaton is based on the unique principle of determining the neighborhood of a cell in the form of a radial shape. Each cell has 8 neighbors that are located along the diagonals or perpendicular to it. This definition of neighborhood allows to take into account local interactions with cells in close proximity to the grain.

The main feature of the model is the use of a radial vector that determines the direction of interaction. The radial vector is directed from the central cell to one of its neighbors and affects the state of the cell in the next generation. Taking this vector into account allows us to model anisotropic processes, such as the direction of crystal growth or the influence of external fields that direct the development of the structure.