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What are the most common products based on a golden ratio, in our normal use.
How do we find its implimentation in Nature?

2006-12-27 17:39:54 · 6 answers · asked by Ishfaq A 3 in Science & Mathematics Mathematics

6 answers

Interestingly, the Golden Ratio is used in art. There are many discussions on what makes a beautiful picture or a handsome man/pulchritudinous woman.
In facial plastic surgery, the surgeon tries for the golden ration in the eye width, cheek bone width, distance from the lips/nose/eyes, etc.
In advertising, products will have logos or pix that have figures or features displayed in such a way as to satisfy the ratio.
And the ratio is 1.61803....

2006-12-27 18:13:37 · answer #1 · answered by kellenraid 6 · 0 0

The value of the Golden Mean is (sqrt(5)+1)/2. It appears in many unusual places. For example, the limit of the ratio of a Fibonacci number to its predecesssor is exactly the Golden Mean. It is the value that satisfies the equation. x^2=x+1. Solving using the quadradic equation, you get (1 +/- sqrt(5))/2. It is represented by Φ, the Greek letter phi.
It has an approximate value of 1.618034.

2006-12-27 17:51:32 · answer #2 · answered by _anonymous_ 4 · 2 1

It is also a geometric mean of 1 and x+1.

2006-12-27 18:15:04 · answer #3 · answered by sahsjing 7 · 0 0

No single answer is capable of approaching the magnificence of The Golden Ratio. You owe it to yourself to be curious and discover this on your own.

2006-12-27 18:33:58 · answer #4 · answered by S. B. 6 · 0 2

See http://en.wikipedia.org/wiki/Golden_ratio It is x:y = (1+√5):2.

2006-12-27 17:42:55 · answer #5 · answered by gp4rts 7 · 1 0

What has nature to do with it ?
x never equals y !

2006-12-27 17:43:00 · answer #6 · answered by Scotty 7 · 0 5

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