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freeCodeCamp/guide/english/mathematics/golden-ratio/index.md
seanakng a3518d677d Unique property of the inverse of the golden ratio (#20110)
* Unique property of the inverse of the golden ratio

Added a description of how the golden ratio minus 1 is equal to the inverse of the golden ratio

* Fix typo in OP's PR
2018-11-03 20:18:31 -04:00

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Golden Ratio

Golden Ratio

PHI = φ = 1.61803398875...

Two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger quanitity.

Given a > b > 0, (a + b)/a = a/b = φ

The golden ratio is irrational, and can be represented as (1 + √5)/2.

The golden ratio is unique in that it is the only number where the inverse of the number is equal to the number minus 1 (as in, 1/φ = φ - 1).

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