Results are out! Find what you Get quick advice or join the chat
Hey! Sign in to get help with your study questionsNew here? Join for free to post

Golden Ratio

Announcements Posted on
Talking about ISA/EMPA specifics is against our guidelines - read more here 05-03-2015
  1. Offline

    I'm doing an EPQ on number patterns and mathematical constants found in nature and exploited in engineering and our mathematical reasoning.

    I have come across golden ratio/golden number which I'm sure many of you know about. However I have found something called "Golden section search" or "Golden section method" I was wondering if anyone knows about it or understands it whether they could explain it by dumbing it down. Any help would be valuable.

    I have attached a picture that is used to explain this method, in the image is C to A, as A is to A+B?! I guessing that is the Gold ratio within the method...

    Thanks for any help!
  2. Offline

    Is it a form of something like iterative Formulae, interval bisection & linear interpolation where instead of finding a root you are finding the minimum in an unimodal function?!
  3. Offline

    Click image for larger version. 

Name:	GoldenSectionSearch.png 
Views:	42 
Size:	11.4 KB 
ID:	166158

    Sorry here is the picture!
  4. Offline

    I don't know much about this method, but maybe this PDF will help:
  5. Offline

    Not quite sure what you are saying. But yes C is to A what A is to B if that is what you mean?

    Do you have the full details? A proportional divider shows a relationship within that picture.

    Will try put it in words but definitely get a second opinion.

    A is proportional to A+C and A+C is proportional to A+B.

    The smaller of the two vectors? is 0.618 of the bigger vector. If you measure the small vector then the big vector will be 1.618 of the smaller vector.

    A = 1.618C , B = 1.618A. A+C = 0.618(A+B) , A = 0.618(A+C).

    Sorry, I tried but I don't know if you will get me on this

    A is approx 4.2

    B is approx 7

    C is approx 2.7

    Do the calculations and it may be clearer.

    Not even that sure myself:rolleyes: but my calculations show the relationships to be true.

    Like 7.0686 * 0.618 = 4.3683.. = A


Submit reply


Thanks for posting! You just need to create an account in order to submit the post
  1. this can't be left blank
    that username has been taken, please choose another Forgotten your password?
  2. this can't be left blank
    this email is already registered. Forgotten your password?
  3. this can't be left blank

    6 characters or longer with both numbers and letters is safer

  4. this can't be left empty
    your full birthday is required
  1. By joining you agree to our Ts and Cs, privacy policy and site rules

  2. Slide to join now Processing…

Updated: August 2, 2012
2015 general election
New on TSR

Loved by Students

Our big survey results unveiled

Article updates
  • 0 new posts
Quick reply
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.