: 📑 The Golden ratio is a special number found by dividing a line into two parts so that the longer part divided by the smaller part is also equal to the whole length divided by the longer part .
It is often symbolized using phi, after the 21st letter of the Greek alphabet .
In an equation form, it looks like this:
a/b = (a+b)/a = 1.6180339887498948420 …
Historically, the number can be seen in the architecture of many ancient creations, like the Great Pyramids and the Parthenon .
In the Great Pyramid of Giza, the length of each side of the base is 756 feet with a height of 481 feet
The ratio of the base to the height is roughly 1.5717, which is close to the Golden ratio.
Phidias (500 B.C. - 432 B.C.) was a Greek sculptor and mathematician who is thought to have applied phi to the design of sculptures for the Parthenon .
Later, Euclid (365 B.C. - 300 B.C.) linked the Golden ratio to the construction of a pentagram.
Around 1200, mathematician Leonardo Fibonacci discovered the unique properties of the Fibonacci sequence .
This sequence ties directly into the Golden ratio because if you take any two successive Fibonacci numbers, their ratio is very close to the Golden ratio .
As the numbers get higher, the ratio becomes even closer to 1.618. For example, the ratio of 3 to 5 is 1.666. But the ratio of 13 to 21 is 1.625. Getting even higher, the ratio of 144 to 233 is 1.618
These numbers are all successive numbers in the Fibonacci sequence.
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