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.

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     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;