Bryan

   ℂorentin

GR in maths

Golden Ratio in a pentagramm :

___= A

___=B

Team : Bryan, Corentin

We can see a pentagramm, with the measures of the Golden Ratio. We can see in yellow the biggest measurement of the number and in red the smallest of the number.

    This formula is used to calculate the golden number.

My drawing is approximatively correct because we are close to the real measure of the golden number : 1.618

 6.5              6.5 + 4

    =            1.6 rounded to the tenth.

  4                  6.5

Fibonacci’s square exemple:

Let’s see an exemple with the fibonacci squares:

Bigger the fraction is, closer the result looks like the Golden Number.

  2              5                     8               13

 = 2 ;  = 1,6… ;  = 1,6 ;  = 1,625

  1              3                     5                8

                   Closer…            Closer…          Still closer...

Let’s suppose that Red is a, and Yellow is b, gn x a = b. We can see on these squares that gn x a = b.

gn = golden number

And with the Fibonacci squares, we also can draw the golden spiral like this one:

The golden number is a really long number, and a man published the 100 000 first digits of it, and you can find it on this link: http://www.gecif.net/articles/mathematiques/nombre_d_or/nombre_d_or_decimales.html