Difference between revisions of "Golden ratio"
From specialfunctionswiki
(→Properties) |
|||
| (One intermediate revision by the same user not shown) | |||
| Line 1: | Line 1: | ||
| − | The golden ratio $\varphi$ is the [[irrational]] [[algebraic number|algebraic]] number | + | The golden ratio, $\varphi$, is the [[irrational]] [[algebraic number|algebraic]] number |
$$\varphi = \dfrac{1+\sqrt{5}}{2}.$$ | $$\varphi = \dfrac{1+\sqrt{5}}{2}.$$ | ||
=Properties= | =Properties= | ||
| + | [[Limit of quotient of consecutive Fibonacci numbers]]<br /> | ||
[[Relationship between sine, imaginary number, logarithm, and the golden ratio]]<br /> | [[Relationship between sine, imaginary number, logarithm, and the golden ratio]]<br /> | ||
[[Relationship between cosine, imaginary number, logarithm, and the golden ratio]]<br /> | [[Relationship between cosine, imaginary number, logarithm, and the golden ratio]]<br /> | ||
Latest revision as of 00:21, 24 May 2017
The golden ratio, $\varphi$, is the irrational algebraic number $$\varphi = \dfrac{1+\sqrt{5}}{2}.$$
Properties
Limit of quotient of consecutive Fibonacci numbers
Relationship between sine, imaginary number, logarithm, and the golden ratio
Relationship between cosine, imaginary number, logarithm, and the golden ratio
Videos
The Golden Ratio & Fibonacci Numbers: Fact versus Fiction
