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Golden Ratio

Published on Nov 19, 2015

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The golden ratio is 1.61803399
It is also known as the golden section.

Photo by jitze

In math, two quantities are in the golden ratio. If their ratio is the same as the ratio of their sum to the larger of the two quantities.

The golden ratio is used in many forms, such as in art. Some examples are the pyramid of Giza, the Mona Lisa, and even the apple logo.

The golden ratio came from Greece. A man from Greece named Phidias widely used this in many of his sculptures like the Partheon.

There are examples of the golden ratio being used before the Greeks. For example, 4,600 years ago, the Great Pyramid of Giza was made with dimensions that are based on the golden ratio.

Some examples of the golden ratio in man made objects are.

  • Chartres Cathedral- Centre, France
  • Notre Dame- Paris, France
  • Porch of Maidens- Acropolis, Athens
  • Taj Mahal- Agra, India
  • United Nations Building- New York City, New York


  • Birth of Venus- Botticelli
  • Mona Lisa- Leonardo Di Vinci
  • Holy Family- Michaelangelo
  • Crucifixion- Raphael
  • The Persistence of Memory- Salvador Dali

Some classical composers used the Golden Ratio and Fibonacci Sequencing in pieces of music. Bach, Beethoven and Mozart are some examples.

A Fibonacci Spiral can be made using the Golden Ratio. This is found in nature. Some examples are spiral cacti, sunflowers, and spiral galaxies.

Overall, it is used in so many sculptures and structures. It is used in music and is in nature. It is known as Phi. It's related to the Fibonacci sequence.