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Colcaps
 2 years ago
Best ResponseYou've already chosen the best response.0you want explaining or you wanna know what it is?

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0I wanna know what it is.

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0Why is it known as golden ratio? What is "exactly golden ratio? What are its applications in everyday life, and other things? Who invented it?

estudier
 2 years ago
Best ResponseYou've already chosen the best response.1Greeks, pops up all over the place....

Colcaps
 2 years ago
Best ResponseYou've already chosen the best response.0yeah diagrams and dimensions use golden ratio

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0golden ratio was not invented, it was discovered

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0I have to make a chart and a file for it, so what exactly should I write there ? lol, @UnkleRhaukus sorry, Who discovered it? :)

estudier
 2 years ago
Best ResponseYou've already chosen the best response.1"golden ratio was not invented, it was discovered" Debatable.

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0it can be measured @estudier

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0I am making a project on it!

estudier
 2 years ago
Best ResponseYou've already chosen the best response.11+1/1+/1+/1+/1...... = GR

UnkleRhaukus
 2 years ago
Best ResponseYou've already chosen the best response.0the limit of the ratio of consecutive fibonacci numbers

estudier
 2 years ago
Best ResponseYou've already chosen the best response.1Convergents of 1+1/1+/1+/1+/1......are ratios of successive F numbers

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0sorry to say but : NOT getting it.

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0\[\color{blue}{\large{\phi}}=\color{red}{\LARGE{GR}}\]?is it so ?

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.3@mathslover A line segment which is divided into two segments, with a greater length α and a smaller length β such that the length of α + β is to α as α is to β, is divided into the golden ratio. Hence\[\frac{ \alpha +\beta }{ \alpha }=\frac{ \alpha }{ }\]and\[(\frac{ \alpha }{ \beta })^{2}\frac{ \alpha }{ \beta }1=0\]where the positive solution for\[\frac{ \alpha }{ \beta }=\frac{ \sqrt{5}+1 }{ 2 }=\frac{ 2 }{ \sqrt{5}1 }\]FYI It is also called the golden section or the divine section.

estudier
 2 years ago
Best ResponseYou've already chosen the best response.1Notice that the Greeks messed about with this without worrying about the radical (they worried only about the ratio)

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.3@mathslover do you understand?

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0Understood! Thanks a lot!

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.3@mathslover You welcome. I thought you didn't like my explanation. lol

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0Not exactly like your thought, but I think it will take time for me to completely understand it!

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.3By the way, I just noticed that in my explanation, there is a β missing in the denominator of the right side of the first equation.

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.3@mathslover is this something you're learning in school right now?

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.01) That was a small mistake, sir, no problem for that. 2) Actually,NO sir, I am in 9th class and their is no such thing so far as I know at least in school learning upto 12th class. But though, I am told to make a project (file,charts) related to mathematics interesting discovery (any) . I chose, golden ratio as my topic for project as it is applicable, understandable etc, A good topic for project, actually, I think!

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0Usually there are no such things that I have ever seen in the textbooks but ^those studies of new discoveries are very important! Thanks for helping me out!

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0http://www.youtube.com/watch?v=5zosU6XTgSY ^ is khanacademy video good for understanding golden ratio further?

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.0also watch parthenon reconstruction project video, you may google...

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.3@mathslover I've never checked those videos out. Perhaps I will when I have time.

cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.0one thing i read about the golden ratio was it = height of human / height of his/her navel!! not sure if i believe that  lol! seems a bit bizarre...

mathslover
 2 years ago
Best ResponseYou've already chosen the best response.0lol I never checked that, may be interesting!

ganeshie8
 2 years ago
Best ResponseYou've already chosen the best response.0ideal human form.. in anatomy they use that i think

calculusfunctions
 2 years ago
Best ResponseYou've already chosen the best response.3@estudier that's a wonderful recommendation. Thanks! It is true that the golden ratio can be observed in nature.

lharrell97
 2 years ago
Best ResponseYou've already chosen the best response.0a logarithmic spiral, also known at golden ratio or golden spiral, is a spiral curve that is often found in nature. for example, the little diamond shaped sections on the outside of a pineapple are actually spiraling upwards at a constant angle. another example is the angle of descent of a hawk towards it's prey.
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