Difference between revisions of "Golden ratio"
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(Created page with "The golden ratio is $\varphi = \dfrac{1+\sqrt{5}}{2}.$") |
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| − | The golden ratio is $\varphi = \dfrac{1+\sqrt{5}}{2}.$ | + | The golden ratio, $\varphi$, is the [[irrational]] [[algebraic number|algebraic]] number |
| + | $$\varphi = \dfrac{1+\sqrt{5}}{2}.$$ | ||
| + | |||
| + | =Properties= | ||
| + | [[Limit of quotient of consecutive Fibonacci numbers]]<br /> | ||
| + | [[Relationship between sine, imaginary number, logarithm, and the golden ratio]]<br /> | ||
| + | [[Relationship between cosine, imaginary number, logarithm, and the golden ratio]]<br /> | ||
| + | |||
| + | =Videos= | ||
| + | [https://www.youtube.com/watch?v=4oyyXC5IzEE The Golden Ratio & Fibonacci Numbers: Fact versus Fiction]<br /> | ||
| + | |||
| + | =References= | ||
| + | [http://www.johndcook.com/blog/2014/02/17/imaginary-gold/]<br /> | ||
| + | [https://plus.google.com/u/0/+AndrewStacey/posts/Yvki1GcVywF] | ||
| + | |||
| + | [[Category:SpecialFunction]] | ||
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
