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Richard A Dunlap
GOLDEN RATIO & FIBONACCI NUMBERS, THE [PDF ebook]

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Copertina di Richard A Dunlap: GOLDEN RATIO & FIBONACCI NUMBERS, THE (PDF)

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.

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Lingua Inglese ● Formato PDF ● Pagine 172 ● ISBN 9789812386304 ● Dimensione 6.7 MB ● Casa editrice World Scientific Publishing Company ● Città Singapore ● Paese SG ● Pubblicato 1997 ● Scaricabile 24 mesi ● Moneta EUR ● ID 2445035 ● Protezione dalla copia Adobe DRM

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