Golden Ratio

Introduction

Much like Pi, a golden ratio is an irrational number, roughly approximated to 1.618 and that number is based on a very specific formula.


Suppose you have a finite line A. And somewhere, in the middle of that line is a point, separating it into two segments of different lengths. Let’s call the longer line B and shorter line C. Now if you divide the length of B by C, and it was equal to the length of A over B. Then, those two numbers would be in a Golden Ratio.
And from there you can create a golden spiral. It is a logarithmic spiral which can be found all over the place in nature but with a growth factor that is equal to the golden ratio. Which means for every quarter turn the spiral makes the line gets one golden ratio further away from its centre point eventually creating something that looks like this.
And it’s this spiral that’s the basis for the golden ratio rule in photography and design. The idea is that by overlaying the golden spiral on top of your photograph you want the focal object to line up at the intersection of those two red lines.

For example:

If you are taking portrait photography, you would want the person’s eyes to be right around that point.
You can also expand those red lines along the length of the image, and mirror them on the other side ultimately creating something called a ‘Phi Grid’. ‘Phi’ being the symbol for the golden ratio, this Phi grid produces a more balanced image when it comes to landscape photography and thus making the image appear the image more natural and less rigid.


How to create Golden Circles

We are using the steps to create Golden Spiral in Adobe Illustrator.
First, select the rectangle tool, by holding shift key make a square. Now, make a copy of it and drag it down so that it is aligned with the old one.


Now, again taking the rectangle tool by holding shift from the top left make another square perfectly with the other two square. Now, select everything and rotate it by 90 degrees.


Again, select rectangle tool, hold shift and make another square perfectly aligned with other squares. Select everything again and rotate by 90 degrees.


Repeat the above instructions few more time. Now, you’ve got a Golden Rectangle.

Now, you need to extract the golden circles that you will use it for your designing. Select the ellipse tool from the toolbar and go to the centre of the bigger square. Hold Shift and Alt and draw a circle in the centre of the square.

Now, repeat the same process to make a circle for each square. Drag every circle outside the ‘Golden Rectangle’ and arrange it as shown in the figure.

Now, go to the align window and click on ‘horizontal align center’ and then on ‘vertical center align’ option. And this is our ‘Golden Circles’ which we will be using for making any of our design in perfect proportion.

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