Wolfram gives plenty of more information behind the math, although some of it is hard to understand. Some neat things that involve the golden ratio are as such: \[\phi=\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+\cdots}}}}=1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\cdots}}}}\]

YOU'RE WELCOME! You know, wikipedia and mathematica/wolframalpha describe everything you could possibly want to know about any number or equation out there. If you have a problem with language translation, I can't really help you with that. If you have a problem with understanding the mathematics, then just wait until you learn more mathematical concepts.

It's meaning? Numbers don't really have meaning. They are just there. They are what they are. Equations and other things of that sort have a meaning, for they compare different expressions. But the golden ratio is just a number found in nature. It's \(\frac{1+\sqrt{5}}{2}\). That's all.

Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

Sort by:

TopNewestBoth golden ratio and silver ratio are amazing... but can someone give me the difference between silver ratio and silver mean

Log in to reply

Can you describe more about the golden ratio

Log in to reply

Wolfram gives plenty of more information behind the math, although some of it is hard to understand. Some neat things that involve the golden ratio are as such: \[\phi=\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+\cdots}}}}=1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\cdots}}}}\]

Log in to reply

Thanks a lot genius BOB K.

Log in to reply

YOU'RE WELCOME! You know, wikipedia and mathematica/wolframalpha describe everything you could possibly want to know about any number or equation out there. If you have a problem with language translation, I can't really help you with that. If you have a problem with understanding the mathematics, then just wait until you learn more mathematical concepts.

Log in to reply

Can anyone tell me what is the meaning of golden ratio

Log in to reply

It's meaning? Numbers don't really have meaning. They are just there. They are what they are. Equations and other things of that sort have a meaning, for they compare different expressions. But the golden ratio is just a number found in nature. It's \(\frac{1+\sqrt{5}}{2}\). That's all.

Log in to reply

even the fibonacci no.s are in the golden ratio.

Log in to reply

Log in to reply