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

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Cover of 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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Language English ● Format PDF ● Pages 172 ● ISBN 9789812386304 ● File size 6.7 MB ● Publisher World Scientific Publishing Company ● City Singapore ● Country SG ● Published 1997 ● Downloadable 24 months ● Currency EUR ● ID 2445035 ● Copy protection Adobe DRM
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