The Golden Ratio & Fibonacci Numbers
SKU: 79503948175

The Golden Ratio & Fibonacci Numbers

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The Golden Ratio & Fibonacci Numbers"This attractive and carefully written book addresses the general reader with interest in mathematics and its application to the physical and biological sciences this one will make a valuable addition to academic and personal libraries." The Fibonacci Quarterly 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

"This attractive and carefully written book addresses the general reader with interest in mathematics and its application to the physical and biological sciences ... this one will make a valuable addition to academic and personal libraries."

The Fibonacci Quarterly

 

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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SKU: 79503948175

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4.5 ★★★★★
Based on 1643 reviews
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Verified Purchase
Elisa
Omaha, US
★★★★★ 3
Sadly, DNF
Format: Kindle
I read this thru KU. I LOVED the synopsis. And then I began reading... and it was a DNF at 68% after picking it up and putting it down several times because I really loved the main female character. *****SPOILERS***** Pros: The world is unique, intriguing and fun. The primary female character is bad-a** but not a b*tech or a mary sue. The primary female has depth. I really want to know what happens to her even tho it's been weeks and I don't remember her name. The villains to the point I read are pretty good -- an ever present threat of mysterious and possibly many culprits. Cons: Way, way too many points of view. I stopped counting at 7. It's the prime reason why I don't care about most of the characters or remember their names even when I like them. There's just too many points of view so almost none of the characters have enough book space for the author to properly develop them. This literally killed the book for me. Actually it killed my desire to read. For weeks. The main male is more villain than hero. He agreed to marry the main female then locks her up & eschews her for her sister, all while bad mouthing her as unfit to rule when he never spent any time with her getting to know her. He is actually unfit to rule as he is blind to the woes of his own kingdom and starts off a peace mission to secure a ceasefire through marriage by murdering an inn full of people in her country for no real reason. Plus, he constantly makes promises he does not keep. And it's gross of him to pine for the sister behind the main female's back. ***** As much as I really wanted to see what happened to the main female character, it wasn't enough for me to keep trying to slog thru this book. There was a lot of potential here that just fell short. Hence, 3 stars.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on June 19, 2021
M
Verified Purchase
MaryBeth K
Port Orchard, US
★★★★★ 5
Fae Courts with High Intrigue
Format: Kindle
This book is one that just builds and builds and then surprises you to no end. You may think you know the villains and then you are jolted in another direction. Princess Reyna is a real gem, strong of character, a fierce fighter, and loyal to her family and kingdom. Just when you think she and Lorcan, well you know, the plot is flipped. Can't wait to see where this goes in book two.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on July 7, 2023
K
Verified Purchase
Kindle Customer Maureen
Belleville, US
★★★★★ 4
Slow, sorry but good
Format: Kindle
This was a slow moving book. Lots of character pov chapters, lots of superfluous descriptions and endless courtly appearances stalled this book to start. Once you get into the heart of the story, it takes off. Before you know it the book is done. My favorite character is Reyna. She is so strong. She is true to herself. She gets into a lot of trouble with her headstrong ways but it's entertaining. I have high hopes for Lorcan. He is honorable to a fault. Thane had turned out to be better than I thought but i still don't like him. Eislin is useless. Great plot twists at the end. I'm looking forward too book 2.
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Reviewed in the United States on June 6, 2020
F
Verified Purchase
Faifre6
Battle Creek, US
★★★★★ 5
Very detailed! Beautiful world building! Strong Heroine!
Format: Kindle
Starts off a little slow and confusing with different POV’s, but starts to all come together towards the middle to make an elaborate plot line and makes it all worth it. Beautiful world building and attention to detail as well as great writing. The cliffhanger was gut wrenching! Can’t wait for the next book!
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Reviewed in the United States on March 4, 2020
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Verified Purchase
Isabelle
Lowell, US
★★★★★ 4
Interesting
Format: Kindle
This was a very captivating book once you got into it thoroughly. But the third person perspective was a bit hard to get used to. But as you got into it and followed the different characters, it was interesting and filled with intrigue, conflict and forbidden love. I can’t wait to read the next one and to complete the series.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on November 12, 2022

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