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The Golden Ratio and Fibonacci Numbers
     

The Golden Ratio and Fibonacci Numbers

by Richard A Dunlap, R. A. Dunlap
 

ISBN-10: 9810232640

ISBN-13: 9789810232641

Pub. Date: 12/28/1997

Publisher: World Scientific Publishing Company, Incorporated

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

Overview

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.

Product Details

ISBN-13:
9789810232641
Publisher:
World Scientific Publishing Company, Incorporated
Publication date:
12/28/1997
Pages:
172
Product dimensions:
5.94(w) x 9.12(h) x 0.39(d)

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