Golden ratio

Main post link -> http://en.wikipedia.org/wiki/Golden_ratio

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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

Can anyone tell me what is the meaning of golden ratio

Karan Thakkar - 7 years, 11 months ago

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.

Bob Krueger - 7 years, 11 months ago

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

A Former Brilliant Member - 7 years, 11 months ago

@A Former Brilliant Member – plastic numbers are in silver ratio

superman son - 7 years, 11 months ago

Thanks a lot genius BOB K.

Karan Thakkar - 7 years, 11 months ago

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.

Bob Krueger - 7 years, 11 months ago

Can you describe more about the golden ratio

Karan Thakkar - 7 years, 11 months ago

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: $\phi=\sqrt{1+\sqrt{1+\sqrt{1+\sqrt{1+\cdots}}}}=1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\cdots}}}}$

Bob Krueger - 7 years, 11 months ago

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

Kishlaya Jaiswal - 7 years, 11 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$