Golden Ratio And Fibonacci Numbers, The

Richard A Dunlap

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ISBN 10: 9810232640 ISBN 13: 9789810232641
Published by World Scientific Publishing Co Pte Ltd, 1997
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Synopsis:

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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Title: Golden Ratio And Fibonacci Numbers, The
Publisher: World Scientific Publishing Co Pte Ltd
Publication Date: 1997
Binding: HRD
Condition: New

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