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Golden Section and Fibonacci Numbers Optimum Design AME 60661,Spring 2009.

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Presentation on theme: "Golden Section and Fibonacci Numbers Optimum Design AME 60661,Spring 2009."— Presentation transcript:

1 Golden Section and Fibonacci Numbers Optimum Design AME 60661,Spring 2009

2 (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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5 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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8 A B AB = 1, then AC = , and AD = 1/  C D

9 DC/BC = DE/CD = 

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11 Fibonacci Numbers 1 1 2 3 5 8 13 21

12 1

13 2

14 3

15 5

16 8

17 13

18 21

19 34

20

21

22

23

24

25

26

27

28


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