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The Beauty of Fractals is a 1986 book by Heinz-Otto Peitgen and Peter Richter which publicises the fields of complex dynamics, chaos theory and the concept of fractals. It is lavishly illustrated and as a mathematics book became an unusual success. The book includes a total of 184 illustrations, including 88 full-colour pictures of Julia sets.
In mathematics, a chaotic map is a map (an evolution function) that exhibits some sort of chaotic behavior.Maps may be parameterized by a discrete-time or a continuous-time parameter.
In physical cosmology, fractal cosmology is a set of minority cosmological theories which state that the distribution of matter in the Universe, or the structure of the universe itself, is a fractal across a wide range of scales (see also: multifractal system).
After discharging a high-voltage point to the surface of an insulator, he recorded the resulting radial patterns by sprinkling various powdered materials onto the surface. By then pressing blank sheets of paper onto these patterns, Lichtenberg was able to transfer and record these images, thereby discovering the basic principle of modern ...
Indra's Pearls: The Vision of Felix Klein is a geometry book written by David Mumford, Caroline Series and David Wright, and published by Cambridge University Press in 2002 and 2015. The book explores the patterns created by iterating conformal maps of the complex plane called Möbius transformations , and their connections with symmetry and ...
The first seven chapters of the book concern perspectivity, while its final two concern fractals and their geometry. [1] [2] Topics covered within the chapters on perspectivity include coordinate systems for the plane and for Euclidean space, similarity, angles, and orthocenters, one-point and multi-point perspective, and anamorphic art.
Patricia Sokol's detailed analysis of the novels, short stories and audio books in the Space: 1999 series published by Powys Media. It contains a detailed synopsis of each of the works, a timeline and an encyclopedic section of all the persons, places and things in the expanded Space: 1999 universe, meaning the original series and the ...
The resulting photographs of standing wave patterns are striking. Lauterwasser's book focused on creating detailed visual analogues of natural patterns ranging from the distribution of spots on a leopard to the geometric patterns found in plants and flowers, to the shapes of jellyfish and the intricate patterns found on the shell of a tortoise.