GOLDEN RATIO AND FIBONACCI NUMBERS, THE

Dunlap, Richard A

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ISBN 10: 9810232640 ISBN 13: 9789810232641

Published by World Scientific Pub Co Inc, 1997

Language: English

Condition: New Hardcover

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Bibliographic Details

Title

GOLDEN RATIO AND FIBONACCI NUMBERS, THE

Publisher

World Scientific Pub Co Inc

Publication Date

1997

Language

English

ISBN 10

9810232640

ISBN 13

9789810232641

Binding

Hardcover

Condition

New

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Synopsis

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.

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