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Golden Section and Fibonacci Numbers Optimum Design AME 60661,Spring 2009
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(a+b)/a = a/b = 1 + 1/ = ^2 – – 1 = 0 = (1+sqrt(5))/2 = 1.618033988749895 = 1/ 0.6180339887 Golden ratio
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a = Top-of-head to chin b = Top-of-head to pupil c = Pupil to nosetip d = Pupil to lip e = Width of nose f = Outside distance between eyes g = Width of head h = Hairline to pupil i = Nosetip to chin j = Lips to chin k = Length of lips I = Nosetip to lips
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A B AB = 1, then AC = , and AD = 1/ C D
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DC/BC = DE/CD =
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Fibonacci Numbers 1 1 2 3 5 8 13 21
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1
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5
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21
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