Golden cut, also known as the golden section, golden ratio, divine proportion, or simply phi (Φ), is a mathematical concept and aesthetic principle that describes the division of a line or a shape into two parts so that the ratio of the whole to the larger part is equal to the ratio of the larger part to the smaller part. This ratio is approximately 1.6180339887, an irrational number that has fascinated mathematicians, scientists, and artists for centuries.
The golden cut has been observed in nature, art, and architecture, and is often seen as a visually pleasing and harmonious proportion. It is believed to create a sense of balance, beauty, and order due to its close connection to the Fibonacci sequence, a series of numbers in which each number is the sum of the two preceding ones (e.g., 0, 1, 1, 2, 3, 5, 8, 13, and so on).
In visual arts, the golden cut often serves as a guiding principle for composition and spatial organization, allowing artists to create visually appealing and balanced designs. Similarly, in architecture, the golden cut can be found in the proportions of iconic structures and is used as a design tool to create harmony in buildings and spaces.
Overall, the golden cut represents a fundamental concept that transcends boundaries between mathematics, art, and nature. It continues to captivate people's imaginations and inspires the creation of aesthetically pleasing and harmonious designs.
