"On the transformation of polyhedra" is a fascinating and in-depth study written by the outstanding mathematician and scientist Vladimir Fedorovich Kagan. This book will be a real discovery for anyone interested in geometry, mathematical modeling and polyhedron theory. In it, the author shares his thoughts and discoveries that can change our perception of multidimensional forms and their transformations. The book immerses the reader in the world of polyhedrons figures that have more than three dimensions. Kagan examines various aspects of their transformation, ranging from simple geometric operations to complex mathematical concepts. He not only describes the theory, but also illustrates his ideas with illustrative examples, which makes the material available even to those who are not professional mathematicians. This work will be of interest to both undergraduate and graduate students, as well as teachers, as well as anyone who is fond of mathematics and wants to deepen their knowledge in this area. Readers who are looking for books on mathematics, geometry or polyhedron theory will definitely appreciate Kagan's unique approach. His writing style is clear and logical, which makes it easy to assimilate even the most complex concepts. The book will be useful to those who are ready for intellectual challenges and strive to expand their horizons. If you like such works as “Geometry and Topology” or “Mathematical Reflections”, then “On the Transformation of Polyhedra” will be a real find for you. The topics raised in the book go beyond purely mathematical questions. Kagan touches on the philosophical aspects of perception of space and form, exploring how polyhedron transformations can be applied in various fields of science and technology. It highlights the importance of visualization in mathematics and shows how geometric transformations can influence our understanding of the world around us. Readers will be able to see how polyhedra are not only abstract mathematical objects, but also have practical applications in architecture, physics, and computer graphics. The style of Vladimir Fedorovich Kagan is distinguished by depth and erudition He skillfully combines theoretical calculations with practical examples, which makes his book not only informative, but also fascinating. Kagan is also known for his other works, such as