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Fibonacci Ratio: The Complete Guide for You about Fibonacci Sequence Art

14.05.2021
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Fibonacci ration

Hundreds of years ago, in our time, the Greek mathematician Euclid of Alexandria called this “the ratio of the extreme to the average.” This was known to Renaissance artists in the 15th and 16th centuries as the “relationship of God.” Coming back to the class, this formula might be known as the golden ratio or the golden ratio.

What we know today as the golden ratio in art, one of the foundations of artistic composition, are mathematical formulas that have been used for thousands of years in art, architecture, and design. In this article, we’ll take a look at some creative ways to apply the golden section in the art to your own paintings and canvas prints for stunning results.

What is the Golden Ratio?

Mathematically, the golden ratio is a ratio of 1: 1.618, also known as the golden ratio. 1: 1.618 can also be represented by the Greek letter phi (for example, 1: φ).

In our work of art, these relationships create a pleasing aesthetic through the balance and harmony they create.

Leonardo da Vinci Fibonacci was a staunch advocate of God’s dimensions. He used it extensively in his work and even drew illustrations for the last books of the time on this topic. In this video, Golden Ratio expert Gary Meisner (author of Phi: The Golden Ratio) examines Mundi, da Vinci’s savior. This is a painting that was discovered in 2011 and lost before it was presented to the world. This is a good example of what the golden ratio in modern art actually looks like.

Golden spiral in art and Rectangle

golden section in art

How do you use this golden ratio in your work? One of the most common uses is the golden rectangle.

Let’s start with a rectangle with an aspect ratio of 1: φ. If you divide this rectangle into a square and a new rectangle, the ratio of this new small rectangle is 1: φ. If this division continues for each new rectangle, the golden rectangle gets smaller and smaller, but still matches the Fibonacci ratio.

Now imagine a spiral that goes through each intersection of the square and rectangle of each golden rectangle.

This is the golden spiral or the Fibonacci effect, known to mathematicians as the logarithmic spiral. Let’s go back a little to Da Vinci and look at the Vitruvian Man through the prism of the golden spiral to see what he actually looks like.

It’s no coincidence that da Vinci’s work was so perfect. Dutch artist Piet Mondrian, one of the pioneers of abstract art, was also famous for using this coefficient in his works from 1918 to 1938.

Applying the Golden Ratio to Canvas Paintings and Photos

The Golden Ratio is a great composition tool for artists working on large canvases, whether it’s the first major work or the 21st major work. It’s worth starting with a ruler and protractor.

If you work with photographs, you can upload the golden mean in art image with a transparent background and add it as a layer in the photo editing tools for use as a guide. After the photo is printed onto the canvas, be sure to leave a margin, so the stretcher can stretch the photo.

Don’t be limited to a completely square stretcher frame. Golden ratio Mona Lisa can be applied to any canvas of any shape and size. Whether you are cutting the canvas, rounding the edges, or creating a large frame above it, such as a 19-foot wheel, you can customize the stretcher for any project. With the perfect balance, you can bring balance and harmony to any job.

What Do You Need to Know about Fibonacci Art?

Why do we regularly come across Fibonacci sequence art in the world around us, from nature to art?

Despite the widespread belief that mathematics has no connection with religion, history provides ample evidence to the contrary. If this is hard to believe at first glance, just look at the Pythagorean prayer.

This tradition of sacred numbers was active in medieval Christian teachings, and each number from 0 to 10 had its own meaning. We owe these ancient Greeks and the influence of their philosophers on medieval Europe. Thus, the belief that numbers have some kind of mystical meaning has become entrenched in our modern society.

In fact, virtually all cultures we know are associated with the beliefs behind them. Is Kabbalah ringing a bell? A common feature of all the teachings is that they all try to explain the universe in which we live and find answers to the problems that have troubled humanity for centuries. This is why the discovery of the golden ratio Fibonacci sequence is not the only incident in the history of mathematics, but rather the result of an effort that began thousands of years ago.

Who is Fibonacci? Fibonacci Artwork

Real name – Leonardo Pisano Biglollo. He is considered one of the most prominent European mathematicians of the Middle Ages. The Pisa native got his nickname Fibonacci in the 19th century, 700 years after his death. He himself was born in Pisa (Italy) and lived between 1170 and 1250. At that time, science was completely unpopular, and people preferred superstition to it.

Fibonacci wrote two books, the value of which became apparent many years after his death. Liber Abaci (Book of Calculus) was the first to introduce Indo-Arabic numerals to the Western world, but most importantly, it was the first scientific work in Europe to explain a phenomenon known as the Fibonacci sequence. It is important to note that Leonardo from Pisa did not discover it, since the most ancient Indian mathematicians formulated the phenomenon long before his birth.

Fibonacci simply brought to the attention of Western civilization one of the most mysterious and intriguing problems in mathematics. He explained it in a rather unorthodox way, using the example of the growth of the rabbit population. The meaning of the sequence is that each next number is equal to the sum of the two previous ones.

Fibonacci sequence in modern architecture should not be confused with Fibonacci spiral renaissance art, although they are closely related. The Fibonacci spiral is based on the Φ (phi) or golden ratio, and this spiral can be seen both in nature and in art.

Fibonacci’s Sequence in Famous Art

golden ratio painting

The art of Fibonacci painting serves as a means of imitating life. At the very least, it strove to imitate life during the Renaissance, when the Fibonacci spiral was first used in painting. Draw — to organize a space for painting, and this space is usually a rectangle. That is why the Fibonacci sequence in art and nature has become widespread in the world of fine arts. The use of various simple shapes (circles, squares, rectangles) had a rather functional character throughout the known history of painting, allowing a person to examine a picture faster and without unnecessary complications.

The Renaissance period is the time of the deification of the sequence and Fibonacci numbers art. It was during this period that intellectuals were looking for perfection and everything that they interpreted in this way in one way or another was associated with the omnipotent Creator of the Universe. This is why Leonardo da Vinci often calls the Fibonacci series and the golden ratio a divine proportion.

Western art in the following centuries was keenly guided by the creators of the Renaissance. This explains the fact that almost all paintings with a perspective composition use golden ratio infamous art. Painting is not the only one, but a separate art form that uses the principles of the golden rule in art by Fibonacci. At the same time, the prerequisites for their application in architecture and music are extremely similar to the goals of artists.

How is the Fibonacci sequence related to the golden ratio?

Scientists and artists to this day regularly refer to the golden ratio painting of Fibonacci in their works. Its consistency has become an integral part of world culture, and at the same time, we still do not fully understand the nature of the phenomenon. We cannot explain where these structures come from, and sometimes we even find it difficult to say what numbers are.

Nevertheless, it is enough to pick up a book such as, for example, “The Da Vinci Code” to find a lot of interesting things about Fibonacci and learn how to use the golden ratio in art. But these references do not come close to understanding why nature chose this particular sequence to create some of her most beautiful creations. We can only admire the golden ratio examples in art or assume that this is all a way of communication between God and man — without the ability to comprehend the meaning or importance of the phenomenon from our side.

The Fibonacci sequence, which became known to most thanks to the film and the book “The Da Vinci Code”, is a series of numbers, deduced by the Italian mathematician Pisa Leonardo, better known under the pseudonym Fibonacci, in the thirteenth century. The scientist’s followers noticed that the formula to which this series of numbers is subordinated finds its reflection in the world around us and echoes with other mathematical discoveries, thereby opening the door for us to the secrets of the universe. Also, learn what is the Fibonacci spiral?

Formulation and definition of the concept The Mona Lisa Fibonacci series is a mathematical sequence, each element of which is equal to the sum of the previous two. Let’s designate a certain member of the sequence as xn. Thus, we obtain a formula that is valid for the entire series: xn + 2 = xn + xn + 1. In this case, the order of the sequence will look like this: 1, 1, 2, 3, 5, 8, 13, 21, 34. The next number will be 55 since the sum of 21 and 34 is 55. And so on according to the same principle. Examples in the environment If we look at a plant, in particular, a crown of leaves, we will notice that they bloom in a spiral. Angles are formed between adjacent leaves, which, in turn, form the correct mathematical Fibonacci sequence and what is the golden ratio in art.

Thanks to this feature, each individual leaf that grows on the tree receive the maximum amount of sunlight and heat.

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