Golden Ratio in mathematics is simply 1.6180339887… but we are designers and as such won’t go into details of golden ratio use in Math because, let’s face it, it will be boring. We will discuss the more interesting aspect which includes its use in design, architecture and art. Moreover the golden ratio is nature’s marvel because you can observe thousands of examples which follow the pattern of the ratio.

The golden ratio can be dated back to the great pyramids of Giza which were built in 2560 BC and are considered one of the earliest examples of the golden ratio. Plato, the greatest Greek philosopher theorized about the GR concept but it wasn’t until 1509 when Luca Pacioli wrote the book De Divina Proportione (The Divine Proportion) when it got its popularity.

In design and architecture the most important component of the ratio is the golden rectangle. The golden rectangle has one longer side and one shorter where the rectangle side lengths are in **golden ratio**. To understand it in further detail let’s do an experiment (You will need a paper, pencil, ruler & compass):

- Draw a square on the paper using your led pencil
- Using a ruler identify the midpoint of the square and draw a line from one point to the other
- Draw an arc by using the line as the radius and this will define the height of the rectangle
- You can now complete the golden rectangle

A golden triangle also exists and its understanding is a bit complex. An easier way to understand it is; when a golden rectangle is split into two triangles then those triangles are known as golden triangles.

So we are done with the golden rectangle and now we move to the golden spiral. The spiral concept is based on the growth factor of**φ** (Golden Ratio). A spiral moves in a circular motion and the golden spiral does the same with the exception that for every quarter turn it gets wider by a factor of **φ** (Golden Ratio). The golden spiral is sometimes also known as the Fibonacci spiral that follows the sequence of Fibonacci numbers (1, 1, 2, 3, 5, 8, 13, 21…).

In modern design, golden ratio plays a strong role and designers are required to have thorough understanding of its implementation in design. Whether you are designing a **brochure**, **flyer**, figure, **sculpture**, painting or even a web layout; the use of golden ratio is extensive. Below are some examples of its use in practical designing.

**Golden Ratio – Banners, Brochures & Flyers**

**Golden Ratio – Web Design**

**Golden Ratio – Architecture**

**Golden Ratio – Nature**

**Golden Ratio – Face**

If you observe in your surroundings you will find thousands of examples that fit the golden ratio criteria. 4DGraphix design team always considers the use of golden ratio in all its designs, web layouts and brochures. For more interesting information on golden ratio stay tuned to 4DGraphix blog.

**Conclusion**

Golden ratio is a mathematical term and its concept is quite often used in graphic design. Its application has also been used in many architectural marvels. Among many applications of golden ratio it is used in graphic design and web designing primarily because it appeals to the audience. The Golden ratio also exists as a marvel of nature and is continued to be applied to all types of major designs, architecture and photography. Just look at the surroundings and see everyday examples of golden ratio.