In this invaluable book, the basic mathematical properties of the golden ratio and its occurrence in the dimensions of two- and three-dimensional figures with fivefold symmetry are discussed. In addition, the generation of the Fibonacci series and generalized Fibonacci series and their relationship to the golden ratio are presented. These concepts are applied to algorithms for searching and function minimization. The Fibonacci sequence is viewed as a one-dimensional aperiodic, lattice and these ideas are extended to two- and three-dimensional Penrose tilings and the concept of incommensurate projections. The structural properties of aperiodic crystals and the growth of certain biological organisms are described in terms of Fibonacci sequences.
Richard A Dunlap
GOLDEN RATIO & FIBONACCI NUMBERS, THE [PDF ebook]
GOLDEN RATIO & FIBONACCI NUMBERS, THE [PDF ebook]
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Língua Inglês ● Formato PDF ● Páginas 172 ● ISBN 9789812386304 ● Tamanho do arquivo 6.7 MB ● Editora World Scientific Publishing Company ● Cidade Singapore ● País SG ● Publicado 1997 ● Carregável 24 meses ● Moeda EUR ● ID 2445035 ● Proteção contra cópia Adobe DRM
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