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.
| ISBN: | 9789810232641 |
| Publication date: | 17th December 1997 |
| Author: | Richard A Dunlap |
| Publisher: | World Scientific Publishing an imprint of WORLD SCIENTIFIC |
| Format: | Hardback |
| Pagination: | 172 pages |
| Genres: |
Algebra |
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.
Golden Ratio And Fibonacci Numbers, The features in the following genres: Algebra
Golden Ratio And Fibonacci Numbers, The is available in Hardback
Golden Ratio And Fibonacci Numbers, The was written by Richard A Dunlap and published by World Scientific Publishing an imprint of WORLD SCIENTIFIC
Golden Ratio And Fibonacci Numbers, The has 172 pages
£49.50