In this paper, the author's method which allows checking the possibility of human acquisition of skills of comprehension and intentional movement in multidimensional space was presented. The method allows to check, whether a human is able to find an exit from the n-dimensional labyrinth (for any finite n >= 3). It can be achieved by virtual movements in multidimensional space. The man in front of the computer screen on which he sees a picture of the interior of a multidimensional labyrinth with the goal of exiting from this labyrinth may feel like a laboratory rat which has been placed in unknown and inexplicable reality for him. In this paper we describe the computer system created on the basis of the presented theory. It allows moving in the virtual labyrinth placed in four and five-dimensional space, is also presented. This program besides research purposes may be treated as the first multidimensional game.