GOLDEN RATIO- maths project Index Serial no. chapter 1 | Introduction | 2 | History | 3 | In nature | 4 | In human body | 5 | In architecture | 6 | In art | 7 | In day to day life | 8 | SIGNIFICANCE | ACKNOWLEDGEMENT I would like to express my special thanks of gratitude to my teacher sonali durgam on the topic golden ratio‚ which also helped me in doing a lot of Research and I came to know about so many new things. I am really thankful
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Marina Thomas Date: 10/17/14 Research Paper Draft Topic:The Golden Ratio So why is it that Angelina Jolie is so gorgeous or why is the Mona Lisa a perfect work of art? Art and beauty is just one of the many pleasures of life. However‚ it is unlikely for someone to ponder on the detail of this beauty which in fact relates to mathematics. The Golden Ratio or Rectangle is believed to make the most pleasing shape. The golden ratio is approximately equal to 1.618. It is actually an irrational
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calculate the rest of the terms the same way: F0 | F1 | F2 | F3 | F4 | F5 | F6 | F7 | 0 | 1 | 1 | 2 | 3 | 5 | 8 | 13 | Segment 2: The Golden ratio In order to define the golden ratio we need to examine the following sketch: The line above is divided into two segments in such a way that ABAP=APPB The ratio described above is called the golden ratio. If we assume that AP=x units and PB=1 units we can derive the following expression: x+1x=x1 By solving the equation x2-x-1=0 we find
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THE GOLDEN RATIO IN THE HUMAN BODY GABRIELLE NAHAS IBDP MATH STUDIES THURSDAY‚ FEBRUARY 23rd 2012 WORD COUNT: 2‚839 INTRODUCTION: The Golden Ratio‚ also known as The Divine Proportion‚ The Golden Mean‚ or Phi‚ is a constant that can be seen all throughout the mathematical world. This irrational number‚ Phi (Φ) is equal to 1.618 when rounded. It is described as "dividing a line in the extreme and mean ratio". This means that when you divide segments of a line that always
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Introduction: The Fibonacci Series The Fibonacci Series is a sequence of numbers first created by Leonardo Fibonacci (fibo-na-chee) in 1202. It is a deceptively simple series‚ but its ramifications and applications are nearly limitless. It has fascinated and perplexed mathematicians for over 700 years‚ and nearly everyone who has worked with it has added a new piece to the Fibonacci puzzle‚ a new tidbit of information about the series and how it works. Fibonacci mathematics is a constantly
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Molly Irvin Kouba Math 16A Exam ID #16 Do Plants Understand Math?: Fibonacci Numbers‚ The Golden Ratio‚ and Their Effect on Phyllotaxis in Nature The Fibonacci sequence‚ Lucas Numbers‚ and the Golden Ratio are commonly found in nature as patterns that many plants and animals follow for optimal growth and development. They explain many phenomena such as whorled phyllotaxis in plants or human proportions as well as many weather patterns and possibly other occurrences. As a plant sciences major‚
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The Golden Ratio The Golden Ratio is a term (with an astounding number of aliases‚ including Golden Section and Golden Mean) used to describe aesthetically pleasing proportioning within a piece. However‚ it is not merely a term -- it is an actual ratio. The Golden ratio is a special number found by dividing a line into two parts so that the longer part divided by the smaller part is also equal to the whole length divided by the longer part. It is often symbolized using phi‚ after the 21st letter
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GOLDEN MEAN It all started from this very smart man named Leonardo Bonacci‚ also known as Fibonacci. Fibonacci was a very important mathematician in Europe; he is believed to be the first. He learned with Arabic mathematicians and had an Arabic learning background to math. Fibonacci had this idea of counting how many rabbits are produced in a yearí ĉ. Fibonacci started with a pair of rabbits. The next month he had a new pair‚ as well the next one too. Fibonacci started working for a solution
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The Golden Bird A certain king had a beautiful garden‚ and in the garden stood a tree which bore golden apples. These apples were always counted‚ and about the time when they began to grow ripe it was found that every night one of them was gone. The king became very angry at this‚ and ordered the gardener to keep watch all night under the tree. The gardener set his eldest son to watch; but about twelve o’clock he fell asleep‚ and in the morning another of the apples was missing. Then the second
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David Ratliffe 11/12/09 Mrs. Wolfe 4th Biology The golden eagle [pic] The Golden Eagle (Aquila chrysaetos) is one of the best known birds of prey in the Northern Hemisphere. Like all eagles‚ it belongs to the family Accipitridae. Once widespread across the Holarctic‚ it has disappeared from many of the more heavily Populated areas. Despite being locally extinct or uncommon‚ the species is still fairly ubiquitous
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