The Golden Ratio and Fibonacci Numbers Richard A. Dunlap

ISBN: 9789810232641

Published:

Hardcover

162 pages


Description

The Golden Ratio and Fibonacci Numbers  by  Richard A. Dunlap

The Golden Ratio and Fibonacci Numbers by Richard A. Dunlap
| Hardcover | PDF, EPUB, FB2, DjVu, AUDIO, mp3, ZIP | 162 pages | ISBN: 9789810232641 | 3.25 Mb

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 andMoreIn 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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