Dgolden ratio, golden number or golden ratio. All these names refer to the golden ratio , a concept that has fascinated artists, architects and designers throughout history. It is a special mathematical relationship that manifests itself in nature, art and design, so it has always been within our reach of sight, although sometimes it goes unnoticed (except for those with a more artistic eye, of course).
Let’s start with the basics: understanding what it’s all about. The golden ratio is a mathematical relationship that appears in various aspects of nature, art, architecture, and other disciplines. It is commonly denoted by the Greek letter phi (φ) and has an approximate value of 1.618 .
Likewise, it is linked to the Fibonacci Sequence , which is the following numerical series: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89... In this series, the sum of two consecutive numbers results in the next one (3+5 =8) and if we divide each number by its previous one, the result is close to the golden number. If we apply the Fibonacci Sequence to create a rectangle and divide it into smaller quadrilaterals (following the sequence in reverse) the result is the trace of the golden ratio pattern.
A mathematical explanation is not enough, we leave you with a visual example of the golden ratio:
Image depicting the golden ratio figure and how its squares bahamas number data correspond to the Fibonacci Sequence. Below the figure appear two related mathematical formulas.
Golden ratio in art history
This ratio has fascinated artists, architects and mathematicians throughout the centuries, and has been used in the creation of works of art, buildings and designs, as it is considered aesthetically pleasing and harmonious . In nature, examples of the golden ratio can also be seen in the arrangement of leaves in some plants, in the spiraling of some mollusc shells, and even in the arrangement of seeds in sunflowers.
In art and architecture, it has been used since ancient times. It is believed that the Greeks were the first to document and apply this proportion in their sculptures and architecture. In Greece, mathematicians such as Euclid and artists such as Phidias explored and applied it in their works, highlighting in buildings such as the Parthenon in Athens.