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The golden ratio, often denoted by the Greek letter φ (phi), is a mathematical constant that has been recognized as having special aesthetic and mathematical properties for centuries. It is an irrational number, which means it cannot be expressed as a simple fraction, and its decimal representation goes on forever without repeating.
The value of the golden ratio is approximately 1.618033988749895, and is defined as follows:
This means that the ratio of the sum of two quantities (a + b) to the larger quantity (a) is the same as the ratio of the larger quantity (a) to the smaller quantity (b):
Mathematics is fascinating and encompasses the nature of the world we live in. One ratio that is prominent in our lives is the golden ratio. The golden ratio appears in various contexts in art, architecture, nature, and even in certain mathematical and scientific relationships. Some of the notable occurrences of the golden ratio include:
- Geometry and Proportions: The…
