Golden Ratio | Origin & Formula | Application in Interior Design

Golden ratio is one of the mathematical formulas that has existed for a long time and is applied in many different fields such as painting, religious culture, architecture, construction, etc. So let's SmartDecor learn about the golden ratio What is it? Where does the origin and formula come from? How is the golden ratio applied in architecture and construction? Hopefully it can bring a lot of valuable information to help readers understand and be able to apply it in practice when designing and constructing.

1. History of the formation of the golden ratio

Ancient times: No one knows when the golden ratio first appeared. Previously, it was believed that a Roman named Vitruvius who lived nearly 2100 years ago discovered the golden ratio. Recently, archaeologists found writings about the golden ratio in the pyramids in Egypt. That proves that the golden ratio appeared very early (about thousands of years ago).

Medieval period:  Euclid, the greatest mathematician of all time, once mentioned the golden ratio in his immortal work “Elements”. According to Euclid, point I on segment AB is called the point that divides segment AB according to the golden ratio (also known as the golden point) if it satisfies:
        

Put: . That number x is called the golden ratio and point I is the golden point of segment AB.

Since then, as we know, there have been many discoveries about the existence of the Golden Ratio in natural geometric shapes such as the 5-pointed star, the 10-sided polygon... in the Fibonacci number series.

Modern times: Scientists have recognized the formula of “golden ratio” and likened it to “divine ratio” to be the standard measure for different fields in society. Mark Barr (20th century) used the Greek letter phi (φ) as the symbol of the golden ratio.

2. Formula for forming the golden ratio

Golden ratio formula (source: collected)

There is a certain natural connection, the layouts presented in rectangles with golden ratio make the viewer feel more comfortable and satisfied and feel the layout is more reasonable and beautiful. 

Golden ratio in mathematics: The general expansion of the quantities a, b that satisfy the golden ratio is the Fibonacci sequence. This is an important sequence because it represents many laws of the natural world (however, we will not learn about it later but only cite the results and direct applications in design). 

Rectangles arranged in the Fibonacci sequence from small to large, we get a figure representing that series of numbers and draw a spiral curve. Spiral curves generated according to this golden ratio are found a lot in nature.

Golden ratio rectangle in spiral (Source: Collected)

3. The golden ratio appears abundantly in the world around us.

It can be said that the golden ratio is one of the "divine proportions" because it accidentally appears densely in the world around us, from the laws of physics to the animal world and even the plant world.

Golden ratio image appears in the plant world (source: collected)

Golden ratio images appear in the animal world (source: collected)

Golden ratio images appear even on the human body (Source: Collected)

Golden ratio image in fine art painting (Source: Collected)

Golden ratio images in architecture and construction works (Source: Collected)

You can see the golden ratio everywhere around us. From the simplest things to the most magnificent architectural works. Isn't it interesting? In today's society, people apply the golden ratio in interior design, logo design, branding, home appliances to car designs and many other fields.

4. Applying the golden ratio in interior design styles

In industries that require creativity in general and interior design in particular, the ratio of 1:618 is considered a standard ratio and is widely used. Objects containing this golden ratio are considered by experts to be absolutely aesthetic. 

A small corner in interior design (Source: SmartDecor)

The golden ratio appears very often in space division. Architects will often divide a room into two parts: A large part that takes up 2/3 of the area and a smaller part. The large area will contain the main furniture of the room, responsible for highlighting the space. The smaller part serves a secondary purpose, such as a seating area or alternative storage. You can apply this ratio to different interior design styles such as Modern design style , Indochine design style and both Industrial interior design style

The golden ratio will also help you coordinate colors for the room more easily and subtly.

How to combine colors according to the golden ratio 60-30-10 in design (Source: Collected)

Proportion is also important to consider in terms of placement. furniture products. If you want to create contrast, try arranging the decorations at different heights and orientations. Arrange these decorations in odd numbers, this will be more aesthetically pleasing.

Furniture products are arranged in different high-low ratios (Source: SmartDecor)

But in reality, there is no specific rule to be able to combine different proportions in combining proportions in interior design to create contrast. But partly, based on the skill thanks to the innate aesthetic eye of each individual or through the observance and practice over a long period of time. There is a small tip you can remember that when you want to check the proportion between two objects, stand back a step.

If this arrangement looks good to your eyes, leave it as it is. If you find this ratio unusual, adjust it. Also, you don't need to worry too much about the arrangement. Contact us immediately. SmartDecor Always ready to support and advise you via hotline 0911933938 for the best advice.