In Italy, the Pantheon, however has the golden ratio. Its pillars below the roof is a rectangle, the golden rectangle, on the roof (top part) is a triangle, the golden triangle.
It is pleasing to the human eye.
The Parthenon in Greece uses the golden ratio as well as the Pyramids of Giza
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 Fibonacci sequence can be used to determine the golden ratio. If you divide a term in the sequence by its predecessor, at suitably high values, it approaches the golden ratio.
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 pleasing to the human eye.
Golden Ratio
The Parthenon in Greece uses the golden ratio as well as the Pyramids of Giza
art, architecture, and music
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 has been found to be aesthetically pleasing - in art, architecture etc
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.
It is not. The Golden Ratio was known and used thousands of years before baseball was invented.
The golden ratio can be determined by dividing a line into two parts where the ratio of the whole line to the longer part is the same as the ratio of the longer part to the shorter part. It can also be seen in nature, architecture, and art. Mathematically, the golden ratio is approximately 1.618.
The principle of the golden mean, also known as the golden ratio, is a mathematical ratio of 1:1.618 that is considered visually pleasing. In design and aesthetics, adhering to this ratio is believed to create a sense of balance and harmony. It is often found in nature, art, and architecture.
I use the Golden Ratio in my daily life to design websites.
The Fibonacci sequence can be used to determine the golden ratio. If you divide a term in the sequence by its predecessor, at suitably high values, it approaches the golden ratio.