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!
- 01-08-2012 21:49
- 01-08-2012 21:55
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?!
- 01-08-2012 21:57
Sorry here is the picture!
Dark Lord of Mordor
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- 01-08-2012 22:07
I don't know much about this method, but maybe this PDF will help: http://www.google.co.uk/url?sa=t&rct...NL9wHrYyyWmDKw
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- 02-08-2012 00:31
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 but my calculations show the relationships to be true.
Like 7.0686 * 0.618 = 4.3683.. = ALast edited by SubAtomic; 02-08-2012 at 01:09.