1. ## Golden Ratio

In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. The figure on the right illustrates the geometric relationship.

## Golden ratio - Wikipedia

https://en.wikipedia.org/wiki/Golden_ratio
2. ## Golden ratio - Wikipedia

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In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. The figure on the right illustrates the geometric relationship. Expressed algebraically, for quantities a and b with a > b > 0, where the Greek letter phi ( or ) represents the golden ratio.

It is an irrational number that is a solution to the quadratic equation , with a value of:

The golden ratio is also called the golden mean or golden section (Latin: sectio aurea). Other names include extreme and mean ratio, medial section, divine proportion, divine section (Latin: sectio divina), golden proportion, golden cut, and golden number.

It is an irrational number that is a solution to the quadratic equation , with a value of:

The golden ratio is also called the golden mean or golden section (Latin: sectio aurea). Other names include extreme and mean ratio, medial section, divine proportion, divine section (Latin: sectio divina), golden proportion, golden cut, and golden number.

Mathematicians since Euclid have studied the properties of the golden ratio, including its appearance in the dimensions of a regular pentagon and in a golden rectangle, which may be cut into a square and a smaller rectangle with the same aspect ratio. The golden ratio has also been used to analyze the proportions of natural objects as well as man-made systems such as financial markets, in some cases based on dubious fits to data. The golden ratio appears in some patterns in nature, including the spiral arrangement of leaves and other plant parts.

Some twentieth-century artists and architects, including Le Corbusier and Salvador Dalí, have proportioned their works to approximate the golden ratio—especially in the form of the golden rectangle, in which the ratio of the longer side to the shorter is the golden ratio—believing this proportion to be aesthetically pleasing.

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3. ## Golden Ratio - Math Is Fun

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The golden ratio (symbol is the Greek letter "phi" shown at left) is a special number approximately equal to 1.618. It appears many times in geometry, art, architecture and other areas. The Idea Behind It

4. ## What is the golden ratio and how to use it – Learn

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1. Layout: Set your dimensions with the Golden Ratio. Consider the Golden Ratio a useful guideline …
2. Spacing: Layout with the Golden Ratio diagram. Spacing is an all-important element of any design, …
3. Content: Trace the Golden Spiral. The Golden Spiral can be used as a guide to determine the …
4. Images: Golden Ratio (or Rule of Thirds) The composition is important for any image, whether it’s …
5. ## Phi: The Golden Ratio | Live Science

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Nov 25, 2019 · The number phi, often known as the golden ratio, is a mathematical concept that people have known about since the time of the ancient Greeks. It …

6. ## golden ratio | Examples, Definition, & Facts | Britannica

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Nov 14, 2019 · Golden ratio, also known as the golden section, golden mean, or divine proportion, in mathematics, the irrational number (1 + Square root of √ 5)/2, often denoted by the Greek letter ? or τ, which is approximately equal to 1.618.It is the ratio of a line segment cut into two pieces of different lengths such that the ratio of the whole segment to that of the longer segment is equal to the ...

7. ## Golden Ratio Calculator - Omni

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The golden ratio calculator will calculate the shorter side, longer side and combined length of the two sides to compute the golden ratio. Before we can calculate the golden ratio it's important to answer the question "what is the golden ratio?".

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