The Golden Ratio and Fibonacci Numbers (Hardcover) (ISBN-13: 9789810232641)

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.

Author: Richard A. Dunlap
ISBN-10: 9810232640
ISBN-13: 9789810232641
Publisher: World Scientific Publishing Company
Language: English
Published: 12/17/1997
Pages: 172
Format: Hardcover
Weight: 0.93lbs
Size: 8.63h x 6.24w x 0.71d