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# The Golden Ratio in the Egyptian Pyramids

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## Kelly Park

on 13 September 2012

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#### Transcript of The Golden Ratio in the Egyptian Pyramids

The Golden Ratio Formula to work out if you have the Golden Ratio The Golden Ratio is known as 1.618 but it is actually a number sequence that continues forever (irrational). The first several numbers are 1.61803398875. It supposedly makes objects and people look more attractive. The Golden Ratio is also known as phi (pronounced fee). It can be written it two forms. The Golden Ratio has several different names. Some of these are: Golden mean, Golden section, Divine proportion and Fibonacci ratio. The Golden Ratio is used in many aspects of life. For example advertising, nature, music, human body and architecture are all related to the Golden Ratio.
The Golden Ratio is also found in the ancient Egyptian pyramids. The Mona Lisa is an example of a famous painting which used the Golden Ratio for better appearance. The ancient Greeks also knew about the Golden Ratio because many aspects of the Parthenon used the Golden Ratio The two ways to write phi This is how you figure out if an object has the Golden Ratio The Golden Ratio in the Egyptian Pyramid The Golden Ratio is also found in the ancient Egyptian Pyramids. The ratio of the slant height of a pyramid to half the base dimension is 1.61804 which is extremely close to the Golden Ratio. The Golden Ratio is also found in different aspects of nature Details and Proof The measurements for the Great Pyramid is as follows:
Slant Height: 185.928 metres
Base Length: 230metres

Slant Height:1/2 x Base Length
=185.928 : 1/2 x 230
=185.928 : 115
185.928 divided by 115 =1.1616765217
This is extremely close to the Golden Ratio. This is why many people think that the Egyptians knew about the Golden Ratio. The Golden Ratio in Architecture The Golden Ratio is also present in many forms in Architecture. The five examples I will show you are:
-Parthenon
-UN (United Nations) Building
-Notre Dame
-The Statue of Athena The Parthenon is one of the most famous buildings in Greece. This building was made to appeal to the Greek Gods, especially Athena. It was built by the ancient Greeks and is proven that many sections of the Parthenon has the Golden Ratio. The ratio of the shortest base length and the height of the Parthenon form a Golden Rectangle. The Parthenon Base Length=30.9metres
Height=19.81 metres
Base Length : Height
=30.9 : 19.81
=30.9 divided by 19.2
=1.609375
This is very close to the Golden Ratio. People are unsure how the ancient Greeks managed to build this magnificent structure with their basic tools. Details and Proof CN (Canadian National) Tower The CN Tower is one of the tallest buildings in the world. It also has the Golden Ratio. The ratio of the distance from the ground to lookout deck to the lookout deck to the top of the building is the Golden Ratio. Details and Proof Total Height of CN Tower: 553.33 metres
Length from observation lookout to top: 342 metres
=Total Length : Length from observation lookout to top
=553.33 metres : 342 metres
=553.33 divided by 342
=1.61792

This is almost the same as the Golden Ratio. This may be why some people find the CN Tower more attractive than its surrounding buildings. UN Building The UN Building is an example of modern architecture that has the Golden Ratio. Each group of 10floors form a Golden Rectangle.
To work prove that this building has the Golden Ratio you would have to:
Height of one floor x 10 : Width of Building
Height of 10floors : Width
Height divided by Width
=1.61803398875
=Golden Ratio Notre Dame Notre Dame is a very famous cathedral in Paris. Many aspects of the building have the Golden Ratio. This presentation will only describe and explain one aspect.

The height of the first floor is 1.618times as big as the second floor. The equation for this is:
Height of first floor : Height of second floor
Height of first floor divided by Height of second floor
=1.61803398875
=Golden Ratio

Maybe this is why this cathedral is so famous!! The Statue of Athena The statue of Athena is a statue that was made by the ancient Greeks to worship the Goddess Athena. The statue was made with perfect proportions. The length and width of her face make a Golden Rectangle. Even though the dimensions cannot be found this is the formula to check her face has the Golden Ratio:

Length : Width
=Length divided by width
=1.61803398875
=Golden Ratio

This supports the belief that ancient Greeks knew about the Golden Ratio. Reflection and Evaluation Some people believe that it was a complete coincidence that the Pyramids had the Golden Ratio. However I believe that this is not the case. The Egyptians created the pyramids fully understanding and knowing about the Golden Ratio. The coincidence of this happening is highly unlikely as many Great Pyramids had the Golden Ratio. One other pyramid that had the Golden Ratio is the Chephren Pyramid. Also, the ancient Greeks knew about the Golden Ratio(since much of their architecture was based on the Golden Ratio) which means the Egyptians could have figured it out also. As I have learnt in my study of Egypt, the Egyptians were one of the smartest civilisations. This increases the chance that the the Egyptians knowingly created their magnificent structures. http://mathworld.wolfram.com/GoldenRatio.html
http://www.mathsisfun.com/numbers/golden-ratio.html
http://www.valdostamuseum.org/hamsmith/Gpyr.html
http://britton.disted.camosun.bc.ca/goldslide/jbgoldslide.htm
http://www.earthmatrix.com/great/pyramid.htm
http://www.theglobaleducationproject.org/egypt/studyguide/gpmath.php
http://www.goldennumber.net/architecture/
http://jwilson.coe.uga.edu/emat6680fa06/hobgood/kate_files/golden%20ratio/gr%20arch.html