Join TSR now and get all your revision questions answeredSign up now

Golden Ratio Watch

    • Thread Starter
    Offline

    0
    ReputationRep:
    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!
    • Thread Starter
    Offline

    0
    ReputationRep:
    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?!
    • Thread Starter
    Offline

    0
    ReputationRep:
    Name:  GoldenSectionSearch.png
Views: 78
Size:  11.4 KB

    Sorry here is the picture!
    Offline

    1
    ReputationRep:
    I don't know much about this method, but maybe this PDF will help: http://www.google.co.uk/url?sa=t&rct...NL9wHrYyyWmDKw
    Offline

    2
    ReputationRep:
    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
 
 
 
Poll
How are you feeling about Results Day?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

Equations

How to use LaTex

Writing equations the easy way

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

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