The golden ratio has been around forever, but people did not discover it until around the time of the early Egyptians.
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.
Nobody has been identified.The Golden ratio has fascinated people in ancient cultures for centuries. It has been of interest, not just to mathematicians, but also to biologists, musicians, architects, artists, and other disciplines.
Fibonacci didn't discover the golden ratio. It had been used thousands of years earlier,for example in construction of religious architecture by the Greeks, who considered it themost perfect and visually pleasing ratio of structural length to width. Fibonacci studied asimple numerical series that generates the number equal to the golden ratio.The number is also the solution to the equation: [ (x - 1) = 1/x ].
The Fibonacci sequence is a series of numbers in which each number is the sum of the two previous numbers. When graphed, the sequence creates a spiral. The sequence is also related to the "Golden Ratio." The Golden Ratio has been used to explain why certain shapes are more aesthetically pleasing than others.
The golden ratio has been around forever, but people did not discover it until around the time of the early Egyptians.
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 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.
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Nobody has been identified.The Golden ratio has fascinated people in ancient cultures for centuries. It has been of interest, not just to mathematicians, but also to biologists, musicians, architects, artists, and other disciplines.
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It has been found to be aesthetically pleasing - in art, architecture etc
The common belief is that the Greeks used the golden ratio (~1.618) for the relation between a building's length and its height. Mario Livio, who wrote a book on the golden ratio, claims that these ratios are actually somewhere between 1.4 and 2.0, so that may have been a myth.
It can been seen in the proportions and balance in the dimensions of the table which they all sat to the proportions of the walls and windows in the background. The golden ratio (1.61803) was all about proportion, balance, and beauty.
There has been at least ten different movies that have the Cinderella theme.
Fibonacci didn't discover the golden ratio. It had been used thousands of years earlier,for example in construction of religious architecture by the Greeks, who considered it themost perfect and visually pleasing ratio of structural length to width. Fibonacci studied asimple numerical series that generates the number equal to the golden ratio.The number is also the solution to the equation: [ (x - 1) = 1/x ].
It is not set in stone, but here are some household items that could have possibly been created with the golden ratio in mind because they are supposed to be visually appealing.An index cardA photographA picture frameA textbookA door frameA computer screenA TV screen