What is the golden ratio?
The golden ratio is approximately 1:1.618 β a special proportion where, when a whole length is split into two parts, "whole : long part = long part : short part" holds true. It's denoted by the Greek letter Ο (phi), and its exact value is (1+β5)/2 β 1.6180339887...
Where is the golden ratio used?
- Art & architecture: observed in works such as the Parthenon and da Vinci's paintings.
- Design: often referenced when setting proportions for logos, business cards, and website layouts.
- Nature: patterns resembling the golden ratio are said to appear in sunflower seed arrangements, nautilus shells, and branching patterns in plants.
A note on accuracy
The claim that the golden ratio is "the most beautiful proportion" hasn't been rigorously proven scientifically, and some instances are explained by coincidence or confirmation bias. Even so, it remains a widely referenced proportion in design and art.
Frequently Asked Questions
How is the Fibonacci sequence related to the golden ratio?
In the Fibonacci sequence (1, 1, 2, 3, 5, 8, 13...), the ratio between two consecutive numbers gets closer and closer to the golden ratio (1.618...) as the sequence grows. For example, 13Γ·8 = 1.625, which is very close to the golden ratio.
Is it exactly 1.618?
The golden ratio is an irrational number (it involves β5), so its decimal digits continue infinitely. 1.618 is a convenient approximation; the exact value is (1+β5)/2.