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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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
River Edge, NJ :
World Scientific,
1997.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Ch. 1. Introduction
- ch. 2. Basic properties of the golden ratio
- ch. 3. Geometric problems in two dimensions
- ch. 4. Geometric problems in three dimensions
- ch. 5. Fibonacci numbers
- ch. 6. Lucas numbers and generalized Fibonacci numbers
- ch. 7. Continued fractions and rational approximants
- ch. 8. Generalized Fibonacci representation theorems
- ch. 9. Optimal spacing and search algorithms
- ch. 10. Commensurate and incommensurate projections
- ch. 11. Penrose tilings
- ch. 12. Quasicrystallography
- ch. 13. Biological applications.