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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...
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.
WHAT'S BONUS TIME?
Normally, new semester rental orders are exactly 125 days.
With “Bonus Time” you can order early and get a FREE extension until 12/19*.
It’s our little way of rewarding you early renters for planning ahead.
But do hurry. The “Bonus Time” offer runs out on 8/8 (11PM PST).
* It can take up to 24 hours for the extension to appear in your account after you receive your textbooks.
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