The Golden Ratio and Fibonacci Numbers

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Amazon Price: $58.00 $47.27 You save: $10.73 (18%) (as of April 25, 2019 6:29 pm – Details). Product prices and availability are accurate as of the date/time indicated and are subject to change. Any price and availability information displayed on the Amazon site at the time of purchase will apply to the purchase of this product.

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.

Product Details

  • Publisher:WSPC (December 17, 1997)
  • Language::English
  • Hardcover:172 pages
  • ISBN-10:9810232640
  • ISBN-13:978-9810232641
  • Item Weight:14.9 ounces
  • Dimensions:6 x 0.44 x 9 inches
    • Best Sellers Rank:#1,796,415 in Books
    • #484 in Number Theory (Books)
    • #699 in Geometry (Books)
    • #1,579 in Geometry & Topology (Books)

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