History Golden Ratio ( 1.61803398875...) The golden ratio has fascinated Western intellectuals of diverse interests for at least 2,400 years. According to Mario Livio: Some of the greatest mathematical minds of all ages, from Pythagoras and Euclid in ancient Greece, through the medieval Italian mathematician Leonardo of Pisa and the Renaissance astronomer Johannes Kepler, to present-day scientific figures such as Oxford physicist Roger Penrose, have spent endless hours over this simple ratio and its properties. But the fascination with the Golden Ratio is not confined just to mathematicians. Biologists, artists, musicians, historians, architects, psychologists, and even mystics have pondered and debated the basis of its ubiquity and appeal. In fact, it is probably fair to say that the Golden Ratio has inspired thinkers of all disciplines like no other number in the history of mathematics. Source: Wikipedia, Golden Ratio
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4:9 = 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.
The Golden Ratio is a constant = [1 + sqrt(5)]/2. There is, therefore, no higher or lower Golden Ratio.
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.
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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.
4:9 = Golden Ratio
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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.
There are several who discovered the significance of this ratio (see related link post). Euclid (around 300 BC) noted the ratio, but it looks like it was referred to as 'Golden' by Martin Ohm in 1835.
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The Golden Ratio is a constant = [1 + sqrt(5)]/2. There is, therefore, no higher or lower Golden Ratio.
The pattern that occurs in the golden ratio is a spiral.