“Display Groups and Proper Polyhedra” is a fascinating and in-depth study written by the outstanding mathematician and teacher Smirnov. The book immerses the reader in the world of geometry and algebra, revealing the relationships between groups of maps and correct polyhedra. This work will be a real find for students, graduate students and anyone interested in mathematics, especially in the field of geometry and symmetry. Smirnov, known for his scientific works and teaching, offers readers a unique look at mathematical structures that seem to be far from everyday life. He skillfully combines theoretical aspects with practical examples, which makes the material accessible and understandable. The book is not just a set of formulas and theorems, but also reveals the beauty and harmony contained in mathematical concepts. In Display Groups and Correct Polyhedra, the author explores how polyhedra symmetries can be described using group theories. Readers will learn about the different types of regular polyhedra, such as tetrahedrons, cubes, and octahedrons, and how their symmetries can be analyzed through the prism of group maps. This not only expands the mathematical horizon, but also awakens interest in geometry as an art. The book will be especially interesting for those who are fond of mathematics at a deeper level. Students and teachers, as well as lovers of science, will find in it many useful ideas and concepts. While beginners may face some difficulties in understanding, experienced readers will appreciate the depth of analysis and originality of Smirnov’s approach. This work will be an excellent addition to the library of anyone who seeks to understand how mathematics can explain the world around them. Topics raised in the book range from the basics of symmetry to more complex concepts such as topology and algebraic geometry. Smirnov not only explains how these ideas work, but also shows how they are applicable in real life. Readers will be able to see how mathematical concepts intersect with art, architecture and even nature, making the book not only a textbook, but also a source of inspiration. Smirnov’s style is clear and logical, which allows readers to easily follow his thoughts. He skillfully uses examples and illustrations to make complex ideas more accessible. This quality makes the book not only useful, but also fascinating to read. Smirnov is also the author of other well-known works, such as