The Golden Ratio is a number, roughly 1.61803.....
-- The number was historically considered to be the ratio of the length to width
of a rectangle that's most pleasing to the eye, and it shows up all over the place
in ancient Greek architecture.
-- It's the solution to the equation [ x - 1 = 1/x ] . . . the number that's 1 more
than its reciprocal.
That works out to 1/2 of [ 1 + sqrt(5) ]
-- As you list more and more terms of the Fibonacci Series, the ratio of each term
to the one before it heads for that number.
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.
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.
The golden ratio was a mathematical formula for the beauty. The golden ratio in the Parthenon was most tremendous powerful and perfect proportions. Most notable the ratio of height to width on its precise was the golden ratio.
The golden ratio, or golden mean, or phi, is about 1.618033989. The golden ratio is the ratio of two quantities such that the ratio of the sum to the larger is the same as the ratio of the larger to the smaller. If the two quantities are a and b, their ratio is golden if a > b and (a+b)/a = a/b. This ratio is known as phi, with a value of about 1.618033989. Exactly, the ratio is (1 + square root(5))/2.
The golden ratio appears when you divide a line, call it "a + b", into two parts, "a" and "b", such that the ratio b / a is the same as (a + b) / b. In words: the ratio of the total length to one of its parts is equal to the ratio of this part to the other part. This ratio (for example, b / a) is exactly (1 + square root of 5) / 2, or about 1.618. Its reciprocal (in the example, a / b) is one less: about 0.618. My reply: Thank you Hilmarz! But I just found out a more simple way for stupid people like me! XD The golden ratio is when you divide a line into two unequal parts, so that the whole length divided by the longer part is equal to the longer part divided by the smaller part! But if I ever become a genius, I'll come back here and re-read your version!
The Golden Ratio is a mathematical constant - it is [1 + sqrt(5)]/2. It is the same whereever it is found and does not change from one context, such as someone's face, to another context.
The golden ratio (or Phi) is a ratio that is very commonly found in nature. For instance, some seashells follow a spiraling path at the golden ratio.
The Golden Ratio is a constant = [1 + sqrt(5)]/2. There is, therefore, no higher or lower Golden Ratio.
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.
No. There is no platinum ratio.
The pattern that occurs in the golden ratio is a spiral.
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.