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The Golden Ratio

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by

Danielle Hegarty

on 7 September 2012

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Transcript of The Golden Ratio

The Golden Ratio What is the Golden Ratio? The golden ratio is a special number approximately equal to 1.61803 and it appears many times in geometry, art, architecture and other areas. Golden Ratio Symbol The Great Pyramid and the Golden Ratio The dimensions of the Great Pyramid: Height: 146.515m Base: 230.363m Slant Height: 186.369m The Great Pyramid has many secrets and one of them is that the pyramid contains the Golden Ratio. The ratio of the slant height to half the base is said to be the golden ratio. So does the Great Pyramid contain the Golden Ratio? Half of the base is 230.363 ÷ 2 which is 115.182 So dividing the slant height by half of the base gives: 186.369 ÷ 115.182 = 1.61804m This differs from the Golden Ratio (1.61803) by only 0.00001m! The Golden Ratio in Architecture The golden ratio is not just in the great pyramid it is also in many other buildings e.g. the columns of Parthenon, the Porch Of Maidens and Chartres Cathedral. Parthenon The Parthenon was a temple built to the goddess 'Athena' and was built around 430 B.C.E in the center of Athens. The sculptor Phidias sculpted many things including the bands that ran above the columns of Parthenon. The Golden Ratio's numeric value was named 'Phi' after Phidias. Back even in the time of the greeks a rectangle with the sides in the Golden Proportion has been known. This rectangle is said to appear many times in the proportions of the famous greek temple, Parthenon. The spaces between the columns are golden rectangles. The width from each side is a golden rectangle. The length from top to bottom is a golden rectangle and even the length and width of the roof is in the golden ratio. Skip to about a quarter of the way of this video or when it starts talking about Architecture to prove that the Parthenon contains the Golden Ratio.
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