One of the most common arguments against the importance of Phi is that, while Phi can be applied to many things in nature, careful analysis shows that it is seldom mathematically perfect. When the spirals of a nautilus shell are measured, their ratio to one another is not exactly 1.618.
Famous pieces of artwork and architecture fail to stand up to careful study as well. This is true from ancient pyramids and famous buildings from ancient Greece to the Mona Lisa and other artworks by the masters.

The Mystery of Imperfection

Many photographers use the Rule of Thirds as a simplified form of the Ratio. In the Rule of Thirds, you simply divide the frame into one-third sections vertically and horizontally. 
Important elements are placed at the intersections of the lines. The lines can also be used in the photo itself. Horizons in landscapes are commonly placed on a horizontal one-thirds line.

Golden Ratio in Photography

Another use of Phi in photography is to capture objects that already possess it. Plant leaves, distant spiral galaxies, flower petals, and seashells are alluring objects that make great subjects. 
The challenge is to recognize how the golden spiral plays a part in making that beauty and to capture it in an image. What can you do to emphasize the spiral and communicate that beauty to your viewers? Seek out objects that already use the Ratio within and leverage this to your advantage.

Discovering New Places In Nature Using The Golden Ratio

In algebra, it is usually shown with the variables a and b.But when working with visual arts, it’s easiest to apply it geometrically. The most common example is the use of rectangles. A Golden Rectangle is one whose short edge is 1, while the long side is 1.618. The rectangle can then be divided into itself by the magic number 1.618 an infinite number of times.A common extrapolation of this is the Golden Spiral. By looking at the image of the slowly diminishing rectangles, the dimensions of a spiral shape can be drawn.

Applying The Golden Ratio

There is a lot of math behind how the Golden Ratio is calculated. But designers, artists, and photographers aren’t usually high-level mathematicians. To benefit the algebraically disinclined, let’s keep it simple.
The Ratio is approximately 1.618 to 1. It’s approximate because it is an irrational number that continues with an infinite number of decimal places. In math, the number is referred to by the Greek letter φ or Phi.

Calculating The Golden Ratio

It has often been claimed that the Rule of Thirds in photography is a simplification of Phi. It creates roughly the same result while being easier to apply in the field or on the go. Does the Rule of Thirds help photographers create more captivating images? It does.
Does it have to be applied perfectly every time? No, you can get great results and beautiful photos by using it as a starting point and modifying it as you see fit.

The Rule Of Thirds

Whether we realize it or not, humans can’t help but find objects that conform to Phi as intrinsically beautiful. 
As artists and creators, we can use this predisposition to our benefit. By incorporating the Ratio in our design and photography, we can improve the quality and beauty of our work.

Mathematically Inaccurate But Beautiful

Many iconic logos can be distilled down to the ratio. By using 1:1.618 to all manner of shapes, cutouts, fills, and patterns, the symmetry of design can really come together. Search online, and you can find some excellent analyses of how some of the most iconic corporate brands benefit from the use of the Ratio in their designs.It’s essential to realize that the Ratio can be repeated in a work several times over.

Logo Design With Golden Ratio

The Ratio was first described by the ancient Greek mathematicians Phidias, Plato, and Euclid, as early as c. 450 B.C. It has been studied and refined for two and a half millennia.
The Ratio is also closely related to the Fibonacci sequence. This mathematical pattern shows numbers that are added together to make the next number. The first numbers of the sequence are 0, 1, 1, 2, 3, 5, 8, 13, 21, etc.

The History

The Golden Ratio is a naturally occurring phenomenon that can be observed in the spirals of a seashell, rainbands of a hurricane, petals of a flower, or the leaves of a plant. It’s only natural for artists to mimic the beauty of nature.

The Nature Has It Already

In design, layouts are the perfect place to start applying the Ratio. Two-column layouts are extremely common. But weighing the columns differently adds a dynamic flow to any publications. Webpages, in particular, use the sidebar concept to apply a dynamic, weighted feel that works naturally.
But what should the dimensions be? The units of measurement do not matter. The larger edge of the larger rectangle should be 1.618 times the length of the edge of the smaller rectangle.

Golden Ratio in Design

Let us understand what is Golden Ratio composition, and how can it really be applied to art, design and photography