It is not often that mathematical theories descend from the highest scientific spheres to the level of popular culture. However, at the turn of the 19th and 20th centuries, people were fascinated by the possibility of other dimensions beyond our three-dimensional reality. Thanks to scientists who used the fourth dimension to describe the universe, the idea captured the imagination of the masses. Philosophers, theologians, mystics, writers and artists were interested in the question of the multidimensionality of our world. Let's try to analyze the research of mathematicians and speculate about how real the existence of other dimensions is.