In this paper we observe the notion of the rotational set and some of its interesting properties. Roots of this notion lie in the simpler notion of the rotational number, which was introduced by Poincar´e. The notion describes the motion of points iterated by some homeomorphism of a circle, or its lift, which is a mapping in \(\mathbb{R}\) naturally associated with the observed homeomorphism. Intuitively, the rotational number represents the ”average shift” of a point under a single iteration of our homeomorphism. That notion is firstly generalized to the notion of the rotational set of the continuous mapping in a higher-dimensional torus, after which we focus on the case of a rotational set of a homeomorphism on a minimal subset of the two-dimensional torus and construct an example of a plane-separating rotational set, using the methods of symbolical dynamics. The paper is organized into three chapters. In the first chapter we go over the one-dimensional case, i.e. the rotational number of the homeomorphism of a circle. The main result of the first chapter is Denjoy’s Theorem, which, along with some assumptions on the observed homeomophism, concludes that the dynamics of that mapping equals the dynamics of a rotation R\(_\rho\), for the irrational rotational number \(\rho\) of the observed homeomorphism. In the second chapter, we expand the notion of the rotational number to the notion of the rotational set in the multi-dimensional case and we show some of the properties of the rotational set of a continuous mapping in \(\mathbb{R}˄m\), most important of which are being closed and connected. Finally, we focus on the case of a homeomorphism on a two-dimensional torus and its lift, where we show some more powerful properties, most importantly that the rotational set is convex. In the third chapter, we continue observing the homeomorphisms on a two-dimensional torus and we expand the notion of the rotational set of mapping F to the notion of the rotational set of mapping F on some subset of the torus. Further, we show that the motion of the points being iterated by the lift F can be symbolically represented by sequences of symbols 0; 1; :::; N. By creating the appropriate frame for identification of symbolical and dynamical rotational sets, we transform the problem of constructing the rotational set with required properties to the problem of construction of a sequence of symbols with some characteristics, whose construction we then perform.