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The Golden Ratio (φ) holds many strange properties, some of which are as follows:
- 1/φ + 1 = φ
- (2φ-1)2 = 5
- φ = √(1+φ) = √(1+√(1+√(1+√(1+φ)))) etc.
- (φ+1)*(φ-1) = φ
It also appears in the Fibonacci Series - take two consecutive terms in the series, the larger the better, and divide the larger one by the smaller one - the larger numbers you choose for this, the closer the result will be to φ.
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What does the golden ratio means?
In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities.
How or why did the golden ratio evolve in nature?
It didn't. It's an artefact of mathematics, found in the proportions of many geometric shapes. But although many people claim that this ratio organisms also show this ratio, this is simply not true, unless you apply such a wide margin of error as to make the entire notion of the golden ratio meaningless.
What are the dimensions of the golden ratio?
The golden ratio is a pure number and so has no dimensions.The golden ratio is a pure number and so has no dimensions.The golden ratio is a pure number and so has no dimensions.The golden ratio is a pure number and so has no dimensions.
How do you know who has the highest golden ratio?
The Golden Ratio is a constant = [1 + sqrt(5)]/2. There is, therefore, no higher or lower Golden Ratio.
What has the golden ratio in it?
A great many things have the golden ratio in them varying from things fabricated by humans such as architecture, the proportions of the sides of a book also fall into the golden ratio. The golden ratio also occurs naturally for example the spiral in the snail's shell falls into the golden ratio. Generally most man made things have the golden ratio in them as it has been found quite simply, to look good.
