The analysis of geometrical images of finite state mashine operation rules

Operations rules are analyzed of the discrete determined dynamic systems (finite state machine) presented in the form of geometrical images - schedules with numerical coordinates of points. As geometrical images are considered classical geometrical curves: golden spiral, Lemniscate of Bernouilli, a ballistic curve,Equiangular spiral, Archimedian spiral, Astroid, Galileo's spiral, Brachistochrone (or brachistochronous) curve etc. In article is researched dependence of number of conditions at the minimal finite state machine constructed on a curve, from power of the entrance alphabet of the finite state machine.