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The Golden Ratio and Fibonacci Numbers

3.9  ·  Rating Details ·  49 Ratings  ·  1 Review
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 ...more
Hardcover, 172 pages
Published December 17th 1997 by World Scientific Publishing Company (first published December 16th 1997)
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Carmen Mandel
Jan 13, 2010 Carmen Mandel rated it it was amazing
Shelves: number-theory
"Fibonacci numbers are frequently found in nature. For example, the pattern of sunflower seeds takes the Fibonacci series to maximize light exposure."
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“It is shown that the golden ratio plays a prominent role in the dimensions of all objects which exhibit five-fold symmetry. It is also showed that among the irrational numbers, the golden ratio is the most irrational and, as a result, has unique applications in number theory, search algorithms, the minimization of functions, network theory, the atomic structure of certain materials and the growth of biological organisms.” 0 likes
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