The golden ratio is the division of a segment into two parts, in which the larger part relates to the whole in the same way as a small part relates to a large one. If we take the length of the segment as one, then we can write the equation x/1 = (1 – x)/x hence x = (sqrt(5) – 1)/2. (Sometimes a large part is taken as one, and the entire segment is taken as x, then the value is different).
The golden ratio is often found in nature, as well as in architecture and art, as it is aesthetically pleasing to the human eye

2. design_engineer says:

The Phi number is a golden number

The study of mathematics is one of the oldest and most important academic fields known to man. For the first time, mathematics was created even before writing appeared, in order to systematize and compare known truths about the Earth and the Universe, as well as to discover new patterns. Since then, it has evolved into a complex system of numbers and formulas that allows us to delve deeper into the natural harmony of our planet, develop technologically and put forward hypotheses on almost every question that a person has asked at one time or another. The number is infinite, and there is no end in sight of mathematical discoveries, although thanks to the progress and expansion of the discipline's scope, there was one true sequence: 1.618.

It may seem like it's just a random number, but 1.618 is a number known as Phi. Known as the Golden Ratio, the Divine proportion. Phi is the most common number found in nature. In fact, 1.618 is the rounded form of true Phi, which is one plus the square root of five divided by two. Despite the function of Phi as the primary numerical building block of nature, there is still the question of why this number is what it is.

Calculating the Phi number

Perhaps you know that the main symbol of the Goddess and the Sacred Feminine Principle is the Pentacal. It's a five-pointed star inside a perfect circle. No matter how large the Pentacle is, the radius of the circle divided by the distance between one of the inner points of the star and the nearest point on the arc of the circle will always be 1.618.In addition, in the Fibonacci sequence, where each successive number is the sum of the previous two (starting with two), the quotient of two adjacent numbers will approach this golden ratio, even without being exactly equal to it. To write this numerically, the sequence starts with 1 1 2 3 5 8 13 21 34. 5/3 = 1,67; 8/5 = 1,6; 13/8 = 1,625; 21/13 = 1,615.

!the golden number

There are many other examples that illustrate the significance of the mysterious Phi in nature. In the honey bee community, the number of female bees and males is Phi. The diameter of the opposite spirals of sunflower seeds is 1,618. The list goes on: the architectural dimensions of the Greek Parthenon, the pyramids of Egypt, and even the modern UN building in New York. Even musicians like Beethoven and Mozart used the Divine пропор proportion in their compositions. These discoveries concerning Phi led to another very important discovery by Leonardo da Vinci in the late 15th century. In his sketch of the Vitruvian Man, da Vinci placed the man inside a perfect circle rather than a five-pointed star, but obtained similar results. Our bodies are also built according to the proportional Phi ratio.