## Golden letter phi (?) to name this proportion. The

Golden ratio is also known as the Golden

Section, Greek letter Phi, Golden Mean, or Divine Proportion. It’s a

mathematical ratio that is found in nature and used in designs and other

things. It exists when a line is divided into two parts and the longer part (A)

is divided by the shorter part (B), which is equal to the sum of longer part

and shorter divided by the longer (a+b÷ a) which both equal to 1.618.

No one really knows for sure about who discovered

the Golden Ratio – 1.618 in Human

history, but some suggestions point to the ancient Egyptians and even as far

back as the ancient Sumerian civilization. Some people say it’s Pythagoras: The

entire story of golden ratio starts when a man named Pythagoras born 570 BCE.

Now well-known for his famous discovery “Golden Ratio” people say he discovered

phi then studied it and applied it to the design of sculptures for the

Parthenon. Golden Ratio has a lot of names, but it was first called the “Divine

Proportion” in the 1500’s. Other names are Golden Section, Greek letter Phi or

Golden Mean.

It

wasn’t until the 1900’s that American mathematician Mark Barr used the Greek

letter phi (?) to name this proportion. The symbol pi (?) was given to this

proportion was chosen partly because it has a familiar sound to those who

constantly use pie (?) (the ratio of the circumference

of a circle to diameter) and because it is the first letter of the name Phidias.

An irrational number is

a number that cannot be expressed as a fraction for any integers and Irrational

numbers have decimal expansions that neither terminate nor become periodic, so

phi is an irrational number because cannot be expressed as a fraction

for any integers. Golden ratios value in fraction

and decimal is:

The golden ratio can be found throughout life and the universe. It has been used a

lot in human’s history it was used in architecture potentially, it seems that the Egyptians may have used both pi and phi in the

design of the Great Pyramids. Here is an example of a Greek person Phidias he

is a Greek sculptor, and mathematician that studied phi and applied it to the

design of sculptures for the Parthenon.

Golden

ratio was also used in art to make balance, harmony, and beauty in art… great

artists throughout history, like Botticelli and Leonardo Da Vinci, have used

the golden ratio as the basis for their compositions. Here’s one very famous

piece, known as the Mona Lisa, painted by Leonardo Da Vinci;