Baryshev Yu., Teerikorpi P. Discovery of cosmic fractals

World Scientific, 2002. — 373 p.A presentation of results on the largest fractal structures in the universe. It seeks to guide the reader, in a simple way, to the frontiers of astronomy, explaining how fractals appear in cosmic physics, from our solar system to the megafractals in deep space. It also offers a personal view of the history of the idea of self-similarity and of cosmological principles, from Plato's ideal architecture of the heavens to Mandelbrot's fractals in the modern physical cosmos. In addition, it discusses the great fractal debate in astronomy (after Luciano Pietronero's first fractal analysis of the galaxy universe), which illustrates how new concepts and deeper observations reveal unexpected aspects of nature.The Science of Cosmic Order:
The Birth of Cosmological Principles
The Gate into Cosmic Order
The Paradoxal Universe of Sir Isaac
The Dream of Hierarchical World: Protofractals
Cosmological Physics for the Realm of Galaxies:
The New World of Relativity and Quantum Forces
Gravity — The Enigmatic Creator of Order
The Law of Redshift in the Kingdom of Galaxies
The Triumph of Uniformity in Cosmology
The Elusive Simplicity of Uniform Space and Matter:
The Mysterious Singularity
Dark Matter — The Grey Eminence
Dark Energy — The New Emperor
Expansion and Curvature of Space
The Fractal Architecture of the Universe:
Cosmic Hierarchies — From Dream to Science
The Charm of Self-Similarity
Fractals and Chaos: Planets, Stardust, Dark Haloes
The Redshift — Quiet Cosmographer
Fractal Structure of the Galaxy Universe
The Origins of Megafractals