# The Golden Ratio

## Diagram 1:-

Perfection: We all have different definitions of achievement. For example, the meanings of perfect grades, perfect looks, complete personalities, etc., depends on individual preferences, moods, and situations. In other words, perfection is in the eyes of the beholder and therefore subjective.

However, for Mathematicians perfection means perfect numbers, maybe, as defined by the Golden Ratio. The golden ratio is often thought of as the ideal ratio between different measurements of an object. It may be difficult to visualize but let us discuss using Diagram 1.

All the segmented regions within Diagram 1 follow the golden ratio; i.e., that sides a/b=(a+b)/a which equals ~1.6180… This may be difficult to understand from the get-go so I will simplify it this diagram 1. This diagram is made up of one square (aa) and one rectangle (ab). The dimensions of the Square aa are 34 & 34, and the aspects of the rectangle ab are 34 & 21. If you take the side a(34) and divide it by the side b(21), you get 1.619 the golden ratio. If you make the sum of the sides a and b (34+21) and divide it by the side a (55/34), you get 1.618, the golden ratio!

This diagram is made up of one square (aa) and one rectangle (ab). The dimensions of the Square aa are 34 & 34, and the sizes of the rectangle ab are 34 & 21. If you take the side a(34) and divide it by the side b(21), you get 1.619 the golden ratio. If you take the sum of the sides a and b (34+21) and divide it by the side a (55/34), you get 1.618, the golden ratio!

*The golden ratio is a ratio we derived from observing the proportions of natural objects. For example:*

This shell a de novo natural product, not a human-made object, exhibits this golden ratio. The power of observation made us incorporate the golden ratio in many of our designs (human-made objects). The Greek civilization dating back to 500 BCE started incorporating this ratio in their structures. Since then, the golden ratio has been used in a variety of art forms including photography. This is the power of observation. Inspired enough, you can explore more about the golden ratio and its origin using the following resources.

Hom, E. J. (2013, June 24). __What is the Golden Ratio__? Retrieved from | ( https://www.livescience.com/37704-phi-golden-ratio.html )

The Golden Ratio in the World Around Us - __Maret School - Advanced Math 7 Final Project May 2014.__ (n.d.). Retrieved from ( https://sites.google.com/a/maret.org/advanced-math-7-final-project-2014/math-in-everyday-life/the-golden-ratio-in-the-word-around-us.)

### About the author:

Estefan Marquina is a tutor at Full Potential Learning Academy. He had peer tutored Chemistry at his school. Inspired by the success, he discovered his calling and found a paid tutoring position at FPLA. In his words, “FPLA offers him a chance to embrace my passion further and educate those in need of assistance.” Although he speaks English fluently, he finds himself better versed in the language of Math and Science.

Challenge him with a problem, and he will simplify it for you. His principle: Tutoring is not receiving answers from a human answer key, but the guide in the tour of your education.

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