## mathslover Group Title What is exactly golden ratio? one year ago one year ago

1. Colcaps Group Title

you want explaining or you wanna know what it is?

2. mathslover Group Title

I wanna know what it is.

3. estudier Group Title

|dw:1350296531363:dw|

4. mathslover Group Title

Why is it known as golden ratio? What is "exactly golden ratio? What are its applications in everyday life, and other things? Who invented it?

5. Colcaps Group Title
6. estudier Group Title

Greeks, pops up all over the place....

7. Colcaps Group Title

yeah diagrams and dimensions use golden ratio

8. UnkleRhaukus Group Title

golden ratio was not invented, it was discovered

9. mathslover Group Title

I have to make a chart and a file for it, so what exactly should I write there ? lol, @UnkleRhaukus sorry, Who discovered it? :)

10. Colcaps Group Title

Michael Maestlin

11. Colcaps Group Title

or Ancient Greeks

12. estudier Group Title

"golden ratio was not invented, it was discovered" Debatable.

13. UnkleRhaukus Group Title

it can be measured @estudier

14. mathslover Group Title

I am making a project on it!

15. estudier Group Title

1+1/1+/1+/1+/1...... = GR

16. UnkleRhaukus Group Title

the limit of the ratio of consecutive fibonacci numbers

17. estudier Group Title

Convergents of 1+1/1+/1+/1+/1......are ratios of successive F numbers

18. mathslover Group Title

sorry to say but : NOT getting it.

19. mathslover Group Title

$\color{blue}{\large{\phi}}=\color{red}{\LARGE{GR}}$?is it so ?

20. calculusfunctions Group Title

@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.

21. estudier Group Title

22. calculusfunctions Group Title

@mathslover do you understand?

23. mathslover Group Title

Understood! Thanks a lot!

24. calculusfunctions Group Title

@mathslover You welcome. I thought you didn't like my explanation. lol

25. mathslover Group Title

Not exactly like your thought, but I think it will take time for me to completely understand it!

26. calculusfunctions Group Title

By 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.

27. calculusfunctions Group Title

@mathslover is this something you're learning in school right now?

28. mathslover Group Title

1) 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!

29. mathslover Group Title

Usually 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!

30. mathslover Group Title

31. ganeshie8 Group Title

also watch parthenon reconstruction project video, you may google...

32. calculusfunctions Group Title

@mathslover I've never checked those videos out. Perhaps I will when I have time.

33. cwrw238 Group Title

one 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...

34. mathslover Group Title

lol I never checked that, may be interesting!

35. ganeshie8 Group Title

ideal human form.. in anatomy they use that i think

36. estudier Group Title
37. mathslover Group Title

^ interesting

38. calculusfunctions Group Title

@estudier that's a wonderful recommendation. Thanks! It is true that the golden ratio can be observed in nature.

39. lharrell97 Group Title

a 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.

40. Ishaan94 Group Title