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The Golden Ratio

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Eva Fenelon

on 13 September 2012

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Transcript of The Golden Ratio

The Golden Ratio The Golden Ratio was thought to have been used by the Ancient Egyptians during the construction of the Egyptian Pyramids. This eye-pleasing proportion is now found and used by people around the world to intrigue buyers and make their items more attractive to the eye. The Ratio has been found to have been used in many historical items. Architecture Art Music These keys on a piano represent the Fibonacci sequence In some research it has been found that the Egyptians used the Golden Ratio while building the Pyramids and also the Golden Spiral in the layout of the pyramids from a birds-eye view. The unit of measurement the Egyptians used when constructing the pyramids was called The Royal Cubit. This was a very precise unit they created which consists of smaller measurements called digits, palms, hands and small cubits. Some people think that the Egyptians both used Pi (Π) and Phi (Φ)during the design of the Pyramids. the Greeks, who called the Golden Ratio, 'The Golden Section', based the whole design of Parthenon on this proportion. The algebraic equation to make the golden ratio is as follows: a+b / a = a/b = = 1+ 5 / 2 = 1.61803... The Golden Mean in Art Renaissance artists knew The Golden Ratio as 'The Divine Proportion'. Using this proportion in their works was very important to them as they wanted their artworks to be perfect. They also used it for beauty and balance in the design of art Leonardo Da Vinci used The Divine Proportion in the painting of "The Last Supper". He used this proportion when painting the table, room, walls and people. Some famous artworks which have been painted using The Divine Proportion include... Stephan Lochener's painting "The Virgin in the Rose Garden" Vermeer created "The Painter's Workshop" A group of people called the cubists (Jacques Villon, Marcel and Raymond Duchamp,Picabia) created a whole exhibition called 'The Golden Ratio exhibition'. Some of their artworks include... Seurat's work. "Bathers" Reflection & Evaluation From my findings during this assignment, I believe that the ancient Egyptians did use the Golden Ration during the development of the pyramids because how else would their final outcome become so precise? They must have used this proportion in their measurements because the only fault in their final production was their stone blocks being off
1- 3mm. From the facts I have found, I believe the Egyptians had a profound understanding of this complicated equation. As well as this, I think that maybe they did not know of the eye-pleasing equation but on their plans, found it most pleasing to the eye so decided to go ahead with that particular plan. If this did happen they came out with an astonishing creation by just using very basic tools. Furthermore, "The Egyptians thought that the golden ratio was sacred so used it in burial grounds and while building temples to praise their Gods." From this information, I believe that Egyptians may not have had an in-depth knowledge of the Golden Ratio but still knew about its existence. Note: measurements in feet and even... You can see in their work that their cubes have been created using the Divine Proportion
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