The Golden Ratio and Fibonacci Numbers PDF ePub eBook

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The Golden Ratio and Fibonacci Numbers free pdf In this text, 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 Finobacci 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, latice 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.

About R. A. Dunlap

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Details Book

Author : R. A. Dunlap
Publisher : World Scientific Publishing Co Pte Ltd
Data Published : 17 December 1997
ISBN : 9810232640
EAN : 9789810232641
Format Book : PDF, Epub, DOCx, TXT
Number of Pages : 172 pages
Age + : 15 years
Language : English
Rating :

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