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Math18

Golden Number

Content

What is the golden number?

The golden number (also known as phi number, gold number and golden ratio) is an irrational number and is the relationship or ratio between two segments of straight lines.

Golden number symbol or sign

Represented by the Greek letter φ(phi).

φ = 1.61803398874...

Note: Consider that the value of phi was truncated, since it is possible to continue obtaining decimals.


How to get the phi number?

The phi number is obtained from the division of a segment into two, where you must consider that the total length is a + b and the longest segment is a, therefore, the shortest segment is b.

φ =
a + b /
a