Čtvrtý rozměr - Je náš svět jen stínem jiného světa? – Ibánez Raúl (2017)

The fascinating idea that our three-dimensional reality is merely a "flatter" part of a world with more dimensions requires great imagination. The reader is therefore first invited among the two-dimensional beings from the remarkable 19th-century novel Flatland by Edwin A. Abbott, who similarly try to imagine our three-dimensional world. After an explanation of the concepts of dimension and space, the book continues with a description of the tumultuous development of geometry in the 19th century, which culminated in the discovery of non-Euclidean geometries, discusses the concept of spacetime, and provides further examples of contemporary uses of multidimensional spaces in mathematics, physics, and computer science. It examines various approaches to the concept of the fourth dimension, its representations and properties, as well as various ways to depict four-dimensional objects with a pencil on a sheet of paper. Serious reflections are complemented by entertaining thought constructions based on the idea that one can step from the third to the fourth dimension, utilize a new degree of freedom, and return in a completely transformed form back to our world. The book is intended for a wide range of readers and does not require deep knowledge.