Beauty has been known for a long time, and few people know that creativity is the most effective, elegant and balanced that depends on proportion and a special mathematical style.
Proportionality is the biggest beauty secret, and the “golden ratio” is the rhythm of the beautiful universe. Everything around us will become beautiful if all lengths are mathematically equal, and the design based on balance between lengths is a secret of everyone who aims for perfection and creativity, as proportion gives a special luster that attracts attention and draws attention .
Man’s quest to discover beauty has led to the discovery of the golden ratio and the knowledge that it is the secret behind everything that is attractive and comfortable to the eye, and that it is truly a measure of the degree of creativity in design in its various fields.
The golden ratio is used in all types of designs without restrictions, and there is no design in which you cannot apply the golden ratio regardless of the different fields. Achieving the golden ratio in the design remains in a special and distinct balance and attracts attention to the areas that you specifically want to highlight.
The history of the discovery of the golden ratio
The golden ratio over the course of “2,400 years” fascinated people in various fields and occupied the minds of many “Euclid” and “Pythagoras” through the Italian mathematician “Leonardo Pisa” and the famous astronomer “Johannes Kepler”.
And modern figures as well, such as the Oxford physicist Roger Penrose and novelist Dan Brown in his famous novel, The Da Vinci Code.
The alphabet of science was founded on mathematics, but the magic of the golden ratio is not limited to mathematics, as it is an aesthetic standard for various fields, whether architecture, history, art, music, planning, psychology and biology as well.
The Greeks developed accurate theories for the arts, such as painting, sculpture and music, and linked them to mathematics. They also developed geometry, which combines drawing and mathematics, which is the science from which the golden ratio came, and it is known that the Greeks and Greeks were the first to reveal the golden ratio.
-The Golden Ratio
Simply the golden ratio is the proportion of the lengths between two numerical values that achieve that ratio, meaning more clearly if we have a rope of a certain length and have been divided "by a ratio of 1: 2", so the ratio of the rope becomes complete to the long part, like the ratio of the long part of the rope to the small part of it.
The value of the golden ratio is expressed by a mathematical constant which is “1.61803399” and expressed in the Greek letter “phi” (φ or ϕ). The golden ratio is not related to straight lines only, as it has many different shapes and names.
Relying on mathematical principles in art and design gives the human mind the ability to perceive and understand the relationships between blocks and spaces in a simpler manner. Therefore, one of the most important and first principles of design is balance and proportionality.
Leonardo Pisa, who is known as “Fibonacci,” wrote many books on problems in mathematics, but the “Golden Ratio” and “Fibonacci Sequence” are best known.
- Fibonacci sequence
The Fibonacci sequence consists of the following numbers “1, 1, 2, 3, 5, 8, 13, 21, 34,…” Thus, the sequence depends on choosing the first two numbers and then completing the rest of the numbers of the sequence by adding the two previous numbers, meaning if we add “ 1 + 1 = 2 and 5 + 8 = 13 ”and so on with the rest of the numbers.
When you divide the two successive numbers in the sequence, you get the golden ratio “5 3 = 1.67 or 21 13 = 1.615” and the result is always close to “phi”, that is, close to “1.618”.
You may be wondering what the relationship of these numbers is to art and design, but you have to make sure that these numbers play a fundamental role in the design process and through the use of the golden ratio and the elements of dynamic representation, the measurements and shapes of the design are formed.
Forms of the golden ratio and elements of dynamic representation
- The Golden Section
It is the division of the straight line according to the golden ratio, meaning “1: 2”. The golden ratio can be achieved through rectangles of different size, so that the ratio of the dimensions of these rectangles to each other is the same proportion.
And the division of the length of these rectangles by their width shall be called "the golden number" and its value is approximately "1.6180339887".
The golden number can be written by adopting the Greek letter "fi". This name appeared in 1914 in honor of "Phidias".
- The Golden Rectangle
To implement the golden rectangle, we draw a square, then we draw a line from the middle of one of the sides to the upper corner of the opposite side, then we use this line as the radius of a circle, then we draw an arc that cuts the length of the sides of the square and thus forms the sides of the golden rectangle.
If you consider both the "Mona Lisa" and the classical and modern architecture, you can find the Golden Rectangle.
- The Golden Triangle
The golden triangle can be drawn by drawing an isosceles triangle in which the two longest sides are equal and the ratio of the length of the long side to the small side (base side) equals the golden ratio.
The golden triangle can also be defined as a triangle with a ratio of side lengths equal to “2: 1: 1”. It is also the shape of the triangle in the “five-pointed star” where the angle of the vertex is equal to 36.
- The Golden Pyramid
The pyramid has a square base and can be defined by the triangle of the right-hand corner in the middle. In the mid-19th century, Robert studied many different Egyptian pyramids, including the pyramids of Giza, Saqqara and Abu Sir groups, and found that the “Great Pyramid of Khufu” is remarkably similar to the Golden Pyramid.
As the slope of this pyramid is equal to “51.52 degrees” and it is very close to the golden pyramid, which equals “51.50 degrees”.
After all these numbers and calculations to clarify the golden ratio and to know how to apply it mathematically, I can imagine that a large part is still unclear to you, but it will become clearer when you get to know the different areas that apply the golden ratio.
The golden ratio in the universe and the world of biology
The golden ratio is available in nature and the universe in a dazzling and lush manner because it has in everything the relationship of the tree to the branches and the trunk and the size of each of them in relation to the other, and the most wonderful natural scenes are in which the distribution of land, sea and sky is subject to this proportion.
The history of the golden ratio in design and its use in various fields has a great impact on nature and the universe in general.
Also, living organisms, the starfish is distinguished by the golden pentagonal shape, and also the beehive. We find that the number of females exceeds the number of males by a fixed rate, which is "1.618", which is closer to the golden ratio, as the heartbeat and parts of the human body are subject to this wonderful ratio.
Dr. Norman Rose noticed the basic stages of human development representing the Fibonacci sequence. At “zero” he is a fetus, and at the age of “1” he is a newborn, and at the end of the age of “1” the sound and walking begins, and weaning him in “2” and then “3” The stage of self-reliance and control begins, and the age of “5” early education comes.
At the age of “8” mid-childhood and distinguishing between right and wrong, then adulthood comes at the age of “13” and adulthood is completed at the age of “21” and at “34” for polished skills, and at “55” the age of social security begins, skills completion and retirement, and finally when “89” is complete And wisdom.
The human body is built with its basic structural divisions and its external dimensions on the golden ratio. Many scientists have been interested in studying the human body and its anatomy and have done many studies to understand the dimensions of the human body.
The oldest and most famous of these studies appeared at the hands of the Italian artist "Leonardo Da Vinci" in his illustration.
The golden ratio in architecture and design
The golden ratio constitutes the highest standards of beauty and is comfortable to the eye and gives a special charm and elegance to everything designed with it. Architects strive to create harmonious designs based on the foundations of the golden ratio.
We also talked earlier that the pyramids of Giza are designed on the basis of the golden ratio, as well as many mosques such as the “Great Mosque of Kairouan” (Uqba Ibn Nafi Mosque) in Tunis in a design that coordinates most of its areas from the total area to the area of the courtyard and even the clear proportion in its lighthouses.
"Euclid" developed the relationship between the golden ratio and the method of creating the five-pointed star, and both the architect "Le Corbusier" and the architect "Mario Botta" were famous for employing the golden ratio in a charming way in many of their works.
In the year “1945”, the myth of functionalist architecture, “Le Corbusier,” adopted the use of the golden rectangle in all his engineering works. He wrote a book based on the golden section and on the dimensions of the human body and called it “Modulor”.
It is dividing or dividing a line while maintaining proportionality between its full length and all the small parts that we obtain.
The golden ratio in art and music
The Renaissance is one of the most wonderful artistic eras in which the artists relied heavily on the golden ratio and produced paintings in this era from the most famous and most wonderful paintings throughout history. .
Also, the wonderful painting "The Last Supper", Da Vinci introduced "Fei" in the dimensions of the table, the walls, and the background drawing of the painting, as well as an explanation in a book about the mathematical and aesthetic properties of the wonderful golden number called "De divina proportio", meaning divine proportion.
In the contemporary era, the painter “Salvador Dali” became famous for his interest in the golden ratio, especially in his painting “The Sacrament of the LaSt Suppe”.
Musicians succeeded in creating wonderful musical phrases by pressing the keys of the musical instrument with a fixed mathematical spacing according to the "Fibonacci" sequence. The American band composed a song called "La Terra" on this sequence.
The application of the golden ratio in life designs
The approach of the golden ratio with the life designs that it uses in public life makes these designs inspire spiritual joy, beauty and automatic attraction to them, for example a "Mercedes car" you will easily notice that it achieves the golden ratio because it is designed according to this ratio.
Computer and high-quality television screens in the past were designed in the form of square screens with a ratio of “1: 1”, but now the designers of the screens have proven that the best aspect ratio of the screens for a clearer and better image is the ratio of “1280: 800”.
If you divide these two values, "1280 by 800", we get "1.6", which is the value of the golden number.
The golden ratio represents the beautiful rhythm of life, so proportion, symmetry and simplicity are the most important secrets of beauty and visual pleasure.
The question you ask now is why do I, as a designer or a person working in the creative field, know about the golden ratio?
Simply because the golden ratio is your guide to creativity, distinction, and your design to a great extent.
Also, the golden ratio is simply a way to create harmony that our subconscious mind seems to be attracted to, so many designers have designed their own logos through this ratio, such as “Apple, Pepsi, Twitter” and other companies in various fields.
How to use the golden ratio in your design
The golden ratio is used in almost everything, and as a designer, you can use it in lines, shapes, spaces, and spaces. The golden ratio is a tool for achieving balance in design and you can apply it in any part of your design.
You can create a grid layout with a ratio of “1: 1.618” and apply this ratio in major parts of your design. You can apply it in books, publications or websites, design logos and other designs. All designs can be used and applied to the golden ratio.
Here are some slogans that apply the golden ratio:
-National Geographic slogan: The attractive yellow rectangle, despite its simplicity, therefore, because the length and width of this rectangle achieve the ratio "1.618". This slogan is based on the golden rectangle and this organization has its slogan "Inspiring people to care about their planet."
- PepsiCo logo: The new logo for Busby has become simpler and more effective, as it consists of installing two circles on top of each other with a specific proportion for each of them and this proportionality achieves the golden ratio.
- Icloud logo: Another distinction from "Apple" and once again a very distinctive design. The ripples that make up the cloud are circles by their diameter consisting of the golden number "1.618"?
Also, the entire shape is contained by a golden rectangle. Most of the "Apple" products of phones, tablets and iPods are designed with a golden rectangle.
As for the sites that apply the golden ratio:
-YSTudio: It is a studio that provides design and development services in Copenhagen, Denmark, they specialize in creating various visual ideas. This site uses the golden ratio in two out of three pages.
The home page provides an overview of the main parts of the work. When you visit and browse the site, you will see the simplicity and beauty. They use traditional concepts in designing pages with the use of golden rectangles in different shapes.
When browsing this site, I could not stop myself from checking in detail, as it is the true meaning of simplicity and great design.
-Mashable: is a news and information resource on this site that used the golden ratio testing service from “UX Triggers” to discover how “Mashable” used the “Fibonacci” sequence in its design.
This was done through a flexible layout of the content with headlines formatted on the left and news links on the right, and the grid was used to complete proportionality and coordination.
The golden ratio is effective here because it gives the reader a space to know the news and choose the news he would like to browse, unlike other news sites that are overcrowded. Mashable shows that the golden ratio can be effective even if it is not visible.
-Jackson & Kent site: It is a site for a web product company in France. They specialize in technical services such as “HTML5, CSS3, Drupal” WordPress, Flash and others. It is one of the sites that clearly apply the golden ratio on its home page.
The golden ratio can also be applied in the "art of photography", as the art of photography is a sophisticated sense of imagination and artistic taste, and if the golden ratio is applied to it, it will give imaginative impressions and will greatly express the feelings and spirit of the image.
The golden ratio can be applied to a photograph in three ways:
1- The golden thirds: equal to the famous rule of thirds, but the dimensions are not completely equal, as they are applied in a special ratio closer to the golden ratio, which is by dividing the image into three longitudinal and three transverse pieces, and the object to be photographed is placed in one of the intersections of the four lines, meaning the most important element becomes.
2-Golden Triangles: It was previously mentioned in the article as the “Golden Triangle”. It is more suitable for images with diagonal lines, so the image has fixed triangles, and on which the photographer places the objects roughly along those triangles and lines.
3- Golden twist: Something in the picture must follow this twist, such as a snail, for example, as this twist leads the eye towards the center.
Conclusion
The golden ratio is of interest to everyone who has a hobby and artistic talent or is looking for creativity and distinction such as the art of photography, drawing, architecture, decoration and other things. All that is designed can be applied to the golden ratio.
One of the aesthetics of any innovative work is the presence of proportion and proportion in it even if the golden number is not used. The golden ratio in general makes the work attractive and striking with a feeling of psychological comfort.
The golden ratio is an aesthetic goal that we must strive to achieve, as we may come up with wonderful designs and ideas by applying the golden ratio, as it is one of the means that helps us to evaluate beauty and always remember that the golden ratio is the rhythm of the beautiful universe.