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Is there a defined value in the standard namespaces for the golden ratio?

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c#

I was trying to find if there is a value for the golden ratio already defined in one of the standard namespaces but I was not able to find anything in the docs or other online resources.

So is there a value for the golden ratio already defined somewhere in the standard namespaces that I might have missed?

Under Math there is Math.Pi and Math.E but no Math.Phi?

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AnotherUser Avatar asked Jul 15 '14 17:07

AnotherUser


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What is the golden ratio defined as?

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 ϕ or τ, which is approximately equal to 1.618.

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You can find the Golden Ratio when you divide a line into two parts and the longer part (a) divided by the smaller part (b) is equal to the sum of (a) + (b) divided by (a), which both equal 1.618. This formula can help you when creating shapes, logos, layouts, and more.

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The golden ratio or golden mean, represented by the Greek letter phi (ϕ), is an irrational number that approximately equals 1.618. The golden ratio results when the ratio of two numbers is the same as the ratio of their sum to the larger of the two numbers.

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1 Answers

No there is not. However, the golden ratio is the solution to a number whose reciprocal is itself minus 1:

$\dfrac{1}{x} = x - 1\ \longrightarrow\ x^2 - x - 1 = 0$

You can then solve that with the quadratic formula to get:

$\dfrac{1+\sqrt{5}}{2} = 1.61803398874989484820458683436\mathellipsis$

This means you can define the golden ratio as one of the following:

readonly double GoldenRatio = (1 + Math.Sqrt(5)) / 2; const double GoldenRatio = 1.61803398874989484820458683436; 
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Jobs Avatar answered Sep 20 '22 20:09

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