The Golden Ratio Essay Example

Good Essays
What is the Golden Ratio?

Most people are familiar with the number Pi because it can be found in so many different math problems and equations. There is, however, another irrational number like Pi. This number isn¡¦t as well known as Pi however. This number is called Phi. This number is also called the golden ratio. The golden ratio is equal to the square root of five plus one, divided by two. If you work this out it comes out as 1.618033988749895. This is also the only number that if squared, is equal to itself plus one. Mathematically speaking, Phi^2 = Phi + 1. Also if you find the reciprocal of Phi, it is equal to itself minus one, Phi^-1 = Phi ¡V 1. The Golden Ratio is the basis for many things in nature. Even ones fingers use the Golden Ratio. First measure the length of the longest finger bone. Then measure the shorter one next to it. Finally if you divide the longer one by the shorter one, you should get a number that is close to 1.168 which is really close to the Golden Ratio. Most parts of the human body are proportional to the Golden Ratio. The Golden Ratio can even be traced back into the times of the Romans and Pyramids. For example, the Great Pyramid of Giza, which was built in 2560 BC, is one of the earliest ways the Golden Ratio was used. The length of each side of the base is 756 feet while the height of the Pyramid when build was 481 feet. If you divide 756 by 481, you would get 1.5717 which is very close to the Golden Ratio. Another good example of the Golden Ratio is in Athens Greece. The Parthenon, which was build during 440 BC, uses the Golden Ratio also. The spaces in between the columns are proportional to the Golden Ratio. This shows that the golden ratio has been used for a very long time. Since the Golden Ratio is an irrational number, it cannot be written as a regular fraction. You could however, get a very close estimate. One of the easiest ways is using the Fibonacci numbers. The Fibonacci numbers is a sequence of

You May Also Find These Documents Helpful

  • Satisfactory Essays

    The Golden Ratio

    • 259 Words
    • 2 Pages

    The Golden Ratio The golden ratio is a unique number approximately equal to 1.6180339887498948482. The Greek letter Phi (Φ) is used to refer to this ratio. The exact value for the golden ratio is the following: ` A popular example of the application of the golden ratio is the Golden Rectangle. Interestingly enough, many artists and architects have proportioned their works to apply the golden ratio in the form of the golden rectangle. A golden rectangle is a rectangle where the ratio of the…

    • 259 Words
    • 2 Pages
    Satisfactory Essays
  • Good Essays

    The Golden Ratio

    • 7054 Words
    • 29 Pages

    The Golden Ratio By : Kaavya.K In mathematics and the arts, two quantities are in the golden ratio if the ratio of the sum of the quantities to the larger quantity is equal to the ratio of the larger quantity to the smaller one. The golden ratio is an irrational mathematical constant, approximately 1.6180339887. Other names frequently used for the golden ratio are the golden section and golden mean. Other terms encountered include extreme and mean ratio, medial section, divine…

    • 7054 Words
    • 29 Pages
    Good Essays
  • Good Essays

    Golden Ratio

    • 559 Words
    • 3 Pages

    The Golden Ratio The theory of the Italian mathematician Leonardo Pisano is extremely present today. While he was trying to sort out the number of rabbits that mated in a year, he discovered a series of numbers, that are profoundly consistent in man, nature & animals. This discovery was extraordinary, but he also found that the ratio always resulted in 1.618. Although it is called differently, this ratio is often called „the golden ratio“…

    • 559 Words
    • 3 Pages
    Good Essays
  • Good Essays

    Golden Ratio

    • 548 Words
    • 3 Pages

    is the Golden Ratio The golden ration can occur anywhere. The golden proportion is the ratio of the shorter length to the longer length which equals the ratio of the longer length to the sum of both lengths. The golden ratio is a term used to describe proportioning in a piece. In a work of art or architecture, if one maintained a ratio of small elements to larger elements that was the same as the ratio of larger elements to the whole, the end result was pleasing to the eye. The ratio for length…

    • 548 Words
    • 3 Pages
    Good Essays
  • Better Essays

    Golden ratio

    • 1214 Words
    • 5 Pages

    The Golden Number 1.61803 39887 49894 84820 is by no means a number of memorization. However, it is a recognizable one. Never will you find a combination of numbers that is more significant than this one. This ratio is known as the Golden Number, or the Golden Ratio. This mystery number has been used throughout different aspects of life, such as art, architecture, and of course, mathematics. One may wonder where the Golden Ratio came from? Who thought to discover it? When was it discovered? And…

    • 1214 Words
    • 5 Pages
    Better Essays
  • Powerful Essays

    Golden Ratio

    • 2473 Words
    • 10 Pages

    The Golden Ratio Body, art, music, architecture, nature – all connected by a simple irrational number – the Golden Ratio. According to Posamentier & Lehmann in their work The (Fabulous) Fibonacci Numbers, there is reason to believe that the letter φ (phi) was used because it is the first letter of the name of the celebrated Greek sculptor Phidias (490-430 BCE). He produced the famous statue of Zeus in the Temple of Olympia and supervised the construction of the Parthenon in Athens…

    • 2473 Words
    • 10 Pages
    Powerful Essays
  • Good Essays

    The Golden Ratio

    • 537 Words
    • 3 Pages

    The Golden Ratio The golden ratio is a number used in mathematics, art, architecture, nature, and architecture. Also known as, the divine proportion, golden mean, or golden section it expresses the relationship that the sum of two quantities is to the larger quantity as is the larger is to the smaller. It is also a number often encountered when taking the ratios of differences in different geometric figures. Represented mathematically as approximately 1.618033989, and by the Greek letter Phi…

    • 537 Words
    • 3 Pages
    Good Essays
  • Good Essays

    The History of Algebra and The Golden Ratio in Nature By: Lauren Pressley Introduction to Statistics Throughout history algebra has changed in words through etymology. Etymology is an account of the history of a particular word or elements of a word. The word “algebra” is derived from Arabic writers. Algebra is a method for finding solutions of equations to the simplest possible form. Different cultures have come up with different types…

    • 494 Words
    • 2 Pages
    Good Essays
  • Better Essays

    Golden Ratio Paper

    • 1766 Words
    • 8 Pages

    deciphered. Until, the discovery of a natural ratio, that changed the game of beauty in all aspects. “Many of the greatest mathematical minds of all ages, from Pythagoras and Euclid in ancient Greece, through the medieval Italian mathematician Leonardo of Pisa and the Renaissance astronomer Johannes Kelper, to present day scientific figures such as Oxford physicist Roger Penrose, have spent endless hours over this simple ratio and its properties, called the golden ratio”(Livio, 2007). This can be located in…

    • 1766 Words
    • 8 Pages
    Better Essays
  • Good Essays

    rederick smith The Golden Ratio March 31 2011 1. The introduction: Hello my name is Frederick Smith, I will be speaking you about a fascinating thing that is in everything, it’s a part of you, it created you & its not just in you, its all around you. Its also in all plants and in all animals. Take for example an octopus has eight tentacles hence the name “octo’~pus, each one of its tentacles has the exact number of suckers on it and each tentacle is the same length pretty amazing right...…

    • 1004 Words
    • 5 Pages
    Good Essays