Comparison of some dynamical systems on the quotient space of the Sierpinski tetrahedron

In this paper, it is aimed to construct two different dynamical systems on the Sierpinski tetrahedron. To end, we consider a quotient space of $\{ 0,1,2,3 \}^{\mathbb{N}}$ by using code representations points Finally, compare periodic investigate topological conjugacy these and conclude that they are not topologically equivalent.