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the golden ratio in architecture
Transcript of the golden ratio in architecture
34 21 1.6190476...
21 13 1.6153846...
Fibonacci discovered this sequence when researching breading patterns of rabbits in ancient Greece. Pythagoras' Theorem Pythagoras' Theorem: a² + b² = c². This rule declares that the sides of the squares a and b added together will equal the sides of the square c. But this rule only works for right angled triangles. The Egyptian method of measuring The Egyptians had a very different way of measuring things. There measurements were based on body lengths. A digit was approximately 19mm; a palm was approximately 76mm and four digits fitted in a palm; a hand was approximately 95mm and five digits fitted in a hand; a small cubit was approximately 456mm and twenty-four digits or six palms fitted in a small cubit and the Royal Cubit (which was made out Granite) was 524mm. For the next questions, the measurement will be in cubits. The Slope Height If you apply Pythagoras' theorem to this, you will get:
a= height: 280 cubits
b= half side length: 441.9925 2
sqrt 356.090559=slope height Where is the Golden ratio found
in the pyramid? The Golden ratio can be found in the Great pyramid of Giza if we we divide the slope height by halving the side length:
Slope height half the side length
356.090559 (439.9925 2)
1.6216074 is so close to the Golden ratio with only 0.0005444785288
off because the Golden ratio
is 1.62103398875 The Golden ratio in buildings The Golden ratio can be found in many different buildings such as: Parthenon, Notre Dame and The Taj Mahal. The Parthenon The Parthenon (which was built in 423BCE) designers made sure that the Golden ratio was applied to all the rectangles as well as the roof to the frieze, the width of all the pillars and the gaps between all of them. The Notre Dame The Notre Dame, which was built between 1345 in France, architectures made sure that the Golden ratio was in the first, second and third floor. As well as the two towers and the gap between them. The Taj Mahal The Taj Mahal (which was made in 1653) was made with the Golden Ratio in the height of the arches to the width of the arches. Conclusion I believe thought out this investigation that the Egyptians did not know about the Golden ratio because in the time that they built the Great Pyramid of Giza, the Golden Ratio had not be found that it was either a huge coincidence or that another civilization or species had built them such as aliens. Also, the scribes would have recorded it in there book known as the 'Pyramid Text' when there is no recording of it. Also, the other pyramids we not as accurate as The Great Pyramid of Giza and also they had many practice pyramids so I think that they flunked the making this Pyramid because this is the only other expatiation.