Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

  1. Jul 11, 2014 #1
    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
     
  2. jcsd
  3. Jul 11, 2014 #2

    micromass

    User Avatar
    Staff Emeritus
    Science Advisor
    Education Advisor

  4. Jul 11, 2014 #3
    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?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted
Similar Discussions: What are some examples of exact forms of the golden ratio?
  1. The golden ratio (Replies: 11)

  2. Golden Ratio (Replies: 11)

  3. Golden Ratio (Replies: 2)

  4. The Golden Ratio? (Replies: 3)

Loading...