Abstract. The relationship between fractal geometry and automata theory has been discovered. It is shown that at least classical fractals are attractors of contraction affine automata. It is also shown that the symbol space of a contraction affine automaton continuously maps onto its attractor.
Keywords: affine automata, fractals, attractors.
National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute,” Kyiv, Ukraine,
e-mail: haryst49@gmail.com.