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Golden Rectangles And Golden Ratios Before doing this research paper on the golden triangles and golden ratios many of us probably thought that this was a waste of time That this had no nothing to do with us and our environment Well we were wrong Golden rectangles and golden ratios are everywhere in paintings in nature ect A rectangle is a Golden Rectangle when the ratio of the length to the width is the Golden Ratio The Golden Ratio is equal to 161803398874989484820 Like in Pi the numbers would go on for ever without repeating Instead of using that big number we just say the Golden Ratio is equal to 162 Its exact value is 1 sqrt5 over 2 The Golden Rectangle got its name from the Greeks All throughout history this ratio was been thought to be the most pleasing to the eye Something about it just gets your attention The Golden Rectangle isnt some resent invention this comes from a long time ago It is said that the Golden Rectangle was used 4600 years ago to built the Great Pyramid of Giza even before the Greeks The Greeks used this to make many buildings such as the Parthenon built in 440BC for the goddess Athena The Parthenons exterior dimensions forms a perfect golden rectangle The Parthenon was built on a square root of five That means its 5 times as long as it is wide Phidias used the Golden Ratio in his sculptures Someone else that used the Golden Ratio was Queen Annie Lace She arranged her flowerettes in spiral patterns She would put 8 flowers counterclockwise and 13 clockwise Notice how both 8 and 13 are Fibonacci series of numbers The series is 1123581321345589144ect The rule is that after the first two numbers comes the sum of the previous two numbers For example 112 then 123 then 235 and so on Pythagoras discovered that when you cut a
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