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The golden ratio and Fibonacci numbers
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...
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| Lenguaje: | eng |
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World Scientific
1997
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| Acceso en línea: | http://cds.cern.ch/record/430567 |
| _version_ | 1780895228113190912 |
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| author | Dunlap, Richard A |
| author_facet | Dunlap, Richard A |
| author_sort | Dunlap, Richard A |
| collection | CERN |
| description | 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 p |
| id | cern-430567 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 1997 |
| publisher | World Scientific |
| record_format | invenio |
| spelling | cern-4305672021-04-22T03:09:56Zhttp://cds.cern.ch/record/430567engDunlap, Richard AThe golden ratio and Fibonacci numbersMathematical Physics and MathematicsIn 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 pWorld Scientificoai:cds.cern.ch:4305671997 |
| spellingShingle | Mathematical Physics and Mathematics Dunlap, Richard A The golden ratio and Fibonacci numbers |
| title | The golden ratio and Fibonacci numbers |
| title_full | The golden ratio and Fibonacci numbers |
| title_fullStr | The golden ratio and Fibonacci numbers |
| title_full_unstemmed | The golden ratio and Fibonacci numbers |
| title_short | The golden ratio and Fibonacci numbers |
| title_sort | golden ratio and fibonacci numbers |
| topic | Mathematical Physics and Mathematics |
| url | http://cds.cern.ch/record/430567 |
| work_keys_str_mv | AT dunlapricharda thegoldenratioandfibonaccinumbers AT dunlapricharda goldenratioandfibonaccinumbers |