ENGLISH

The golden ratio and Fibonacci numbers

By R. A. Dunlap

Book information

Publisher
World Scientific Publishing Company
Year
1998
ISBN
9810232640, 9789810232641, 9789812386304
LCC
QA466 .D86 1997
Open Library ID
OL682088M
Language
english
Format
PDF
Filesize
8 MB (8411029 bytes)
Pages
170\170
Scanned
no
Time added
2009-08-06 05:14:26
Математика;Популярная математика

Description

In this text, 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 Finobacci 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, latice 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.

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