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Why is the golden ratio significant to history?
Its too long to explain with the space alotted, but reading The Da Vinci Code explains it in detail.
What is the golden ratio of a snail shell?
The golden ratio or the Fibonacci number is apparent in many natural objects. This mathematical equation proves that by dividing a line in two parts, the longer part divided by the smaller part is also equal to the whole length divided by the long part.
How long have prime numbers been around for?
They have always been around
How did the golden ratio help find the height of a pyramid?
The golden ratio is also known as 'phi' (a Greek letter written like an 'o' with a vertical line through it. It is an irrational number, but not a transcendental number like e and pi. You can find its value on a calculator by entering (sqrt5 + 1)/2 = 1.6180339887499..... If you break a stick into two unequal parts so that the ratio of the large part to the small part is the same as the ratio of the original stick to the large piece, then that ratio is the golden ratio. The golden ratio was known to Greek mathematicians as long as 2400 years ago. Luca Pacioli wrote about in 1509, sparking modern fascination . The golden ratio is said to be used in the proportions of Greek temples, and to be found in the ratio of various parts of an ideal human body. It is found in many places in nature, such as the pattern of the seeds in a sunflower, and the shape of a snail shell. As far as the pyramids go, many things have been said about the dimensions, proportions and orientation of the Egyptian pyramids, but my view is that this may be our imagination as much as it was actually the method of the builders of the pyramids. This is not to deny that the pyramids are an amazing feat of engineering. By the way, the first pyramids were built about 4600 years ago, 2200 years before the writings of the Greek mathematicians.
How does the Fibonacci Sequence relate to the Golden Ratio and what is the Golden Ratio. Why is it so important?
I will explain a method of constructing an illustration:Construct a square with the length of a side = 1 (one unit).Add another square of the same size to the first so they have one common edge (1 * 2).Add a square to the long edge of the exisiting squares (2 * 2 units).Add another square to the long edge ( that square should be 3 * 3)Contionue adding squres to the ling edge of the construction.The lengths of the sides form a Fibonacci series. The lengths of the sides of the constructed rectangle approch a golden Ratio (the longer you continue the closer to the ratio you get.This is considered a plesing shape by many and many artists and architects use these proportions in their compositions.
Where did the golden ratio come from?
The Golden Ratio has been known to mathematicians for a very long time but there is little reliable evidence of its origin. The ratio was first described, in writing, by Euclid.
How long have Golden Retrever's been around?
184712 years
How long has the golden rule been around?
That Golden Rule was created on 2009-08-23.
How can a segment be divided such that the ratio of the whole long piece to the shorter piece is equivalent to the ratio of the whole segment to the long piece?
This can be solved using something called 'The Golden Ratio', when the longer segment is compared to the whole is about 1.618033988... The Golden Ratio is the ONLY ratio capable of this.
How is the golden ratio devised?
The 'golden ratio' is the limit of the ratio of two consecutive terms of the Fibonacci series, as the series becomes very long. Actually, the series converges very quickly ... after only 10 terms, the ratio of consecutive terms is already within 0.03% of the golden ratio.
What is a golden rectangle?
A golden rectangle is a rectangle where the ratio of the length of the short side to the length of the long side is proportional to the ratio of the length of the long side to the length of the short side plus the length of the long side. It is said to have the "most pleasing" shape or proportion of any rectangle. The math is like this, with the short side = s and the long side = l : s/l = l/s+l Links can be found below to check facts and learn more. In ratio terms, the Golden Rectangle has a width/height ratio of 1.618/1.
How long has it been since golden retrievers have been recognized?
93 years
How long does a golden mantella live?
around 6 years
How long a golden eagle can live?
around 30 years
In a golden rectangle if the top and bottom lines of the rectangle are each 3 and one half inches how long would the side lines of the rectangle be?
To make it a golden rectangle the sides should be in 1:0.618 ratio. Lets say your width is made of a + b. a and b are in golden ratio. THis gives a + b = 3.5 <---- equ 1 b = .618 a (because they are in golden ratio) substitute to equ 1 1.618a = 3.5 a = 3.5/1.618 = 2.163 b = 1.336 now you can construct your sides with a = 2.163 to have a golden rectangle
Why is the golden ratio significant to history?
Its too long to explain with the space alotted, but reading The Da Vinci Code explains it in detail.
What is the golden ratio of a snail shell?
The golden ratio or the Fibonacci number is apparent in many natural objects. This mathematical equation proves that by dividing a line in two parts, the longer part divided by the smaller part is also equal to the whole length divided by the long part.
