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Book synopsis

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.

Book details

Book category Books in English Mathematics & science Mathematics Number theory

• Full title: Golden Ratio And Fibonacci Numbers, The
• Author: R A Dunlap
• Language: English
• Binding: Hardback
• Number of pages: 172
• EAN: 9789810232641
• ISBN: 9810232640
• ID: 04480992
• Publisher: World Scientific Publishing Co Pte Ltd
• Weight: 420 g
• Dimensions: 224 × 163 × 17 mm
• Date of publishing: 17. December 1997

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