The golden ratio, often represented by the Greek letter phi (Φ), is an irrational number approximately equal to 1.618. It's defined as the ratio of a line segment divided into two parts, where the ratio of the whole segment to the longer part is the same as the ratio of the longer part to the shorter part. The ancient Greeks, including Euclid, first studied this ratio, recognizing its importance in geometry, particularly in the construction of pentagrams and pentagons.
The golden ratio appears in various natural patterns, such as the spiral arrangement of leaves and seeds in plants. Some artists and architects, like Le Corbusier and Salvador Dalí, have used the golden ratio to proportion their works, believing it to be aesthetically pleasing. When applied to design, it can create a sense of balance and harmony. The golden ratio is closely linked to the Fibonacci sequence (1, 1, 2, 3, 5, 8, 13...), where the ratio between consecutive numbers approaches phi as the sequence progresses.
