What are some examples of exact forms of the golden ratio?

  • Thread starter mesa
  • Start date
  • #1
648
18

Main Question or Discussion Point

Hello all, I am looking for exact forms (as real number expressions) of the golden ration that are not rewrites of the one we all know and love, i.e.

g.r. = 1/2(5^(1/2)+1)


Searches in Google have yielded nothing so far :P
 

Answers and Replies

  • #3
648
18
A good link, but I had already seen it. The trigonometric versions are just substitutions of the same expression, ø = 1/2(5^(1/2)+1).

I also checked out Wolfram and I noticed this,

ø=2^(-1/v)(5^(1/2)Fv+(5(Fv^2)-4cos(v∏))^(1/v)

which is a wonderful general form!

Anyone else have anything to add?
 

Related Threads on What are some examples of exact forms of the golden ratio?

Replies
8
Views
2K
  • Last Post
Replies
11
Views
6K
  • Last Post
Replies
3
Views
750
  • Last Post
Replies
11
Views
3K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
6
Views
1K
  • Last Post
Replies
6
Views
3K
Replies
3
Views
17K
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
2
Views
2K
Top