1 / 28

Golden Section and Fibonacci Numbers

Golden Section and Fibonacci Numbers. Optimum Design AME 60661,Spring 2009. Golden ratio. ( a+b )/a = a/ b = f 1 + 1/ f = f f ^2 – f – 1 = 0 f = (1+sqrt(5))/2 = 1.618033988749895 F = 1/ f = 0.6180339887. a = Top-of-head to chin

hiroko
Download Presentation

Golden Section and Fibonacci Numbers

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


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

  2. Golden ratio • (a+b)/a = a/b = f • 1 + 1/f = f • f^2 – f – 1 = 0 • f = (1+sqrt(5))/2 • = 1.618033988749895 • F = 1/f = 0.6180339887

  3. 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

  4. A B D C AB = 1, then AC = f, and AD = 1/f

  5. DC/BC = DE/CD = f

  6. Fibonacci Numbers 1 1 2 3 5 8 13 21

  7. 1

  8. 2

  9. 3

  10. 5

  11. 8

  12. 13

  13. 21

  14. 34

More Related