Golden Ratio

The beauty of mathematics(Φ=1.618)

What Is The Golden Ratio? What You Need to Know and How To Use It

What do the Pyramids of Giza and Da Vinci’s Mona Lisa have in common with Twitter and Pepsi.

 They are all designed using the Golden Ratio.

The Golden Ratio is a mathematical ratio. It is commonly found in nature, and when used in design, it fosters organic and natural looking compositions that are aesthetically pleasing to the eye. But what exactly is the Golden Ratio and how can you use it to improve your own designs?
What is the Golden Ratio?


Putting it as simply as we can (eek!), the Golden Ratio (also known as the Golden Section, Golden Mean, Divine Proportion or Greek letter Phi) exists when a line is divided into two parts and the longer part (a) divided by the smaller part (b) is equal to the sum of (a) + (b) divided by (a), which both equal 1.618.
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Closely related to the Fibonacci Sequence (which you may remember from either your school mathematics lessons or Dan Brown's novel The Da Vinci Code), the Golden Ratio describes the perfectly symmetrical relationship between two proportions.


Approximately equal to a 1:1.61 ratio, the Golden Ratio can be illustrated using a Golden Rectangle: a large rectangle consisting of a square (with sides equal in length to the shortest length of the rectangle) and a smaller rectangle.

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How to construct a Golden Ratio rectangle
Creating a Golden Rectangle is pretty straightforward, and starts with a basic square. Follow the steps below to create your own Golden Ratio:

01. Draw a square

This will form the length of the 'short side' of the rectangle.

02. Divide the square

Divide your square in half with a vertical line, leaving you with two rectangles.


03. Draw a diagonal line

In one rectangle, draw a line from one corner to the opposite corner.

04. Rotate

Rotate this line so that it appears horizontally adjacent to the first rectangle.

05. Create a new rectangle

Create a rectangle using the new horizontal line and original rectangle as guides.

Ashok Kadam