1. How maths can prove that you too are beautiful

2. Fibonacci & Rabbits 112358132134

3. Fibonacci & Sunflowers 112358132134

4. Fibonacci & Snails

5. Fibonacci & the Golden Ratio Fibonacci Sequence Ratio of successive terms 1 11 22 31.5 51.666666667 81.6 131.625 211.615384615 341.619047619 551.617647059 891.618181818 1441.617977528

6. The Golden Ratio Golden ratio (phi or φ) or 1.618033989……. Try calculating Φ² and 1/ φ n th term of the Fibonacci Sequence = φ n /√5

7. The Golden Ratio, Art and Beauty

8. The Parthenon Athens Greece

9. The Golden Ratio, Art and Beauty

10. 230.35m 146.71m 186.52m

11. The Golden Ratio, Art and Beauty Leonardo da Vinci

12. The Golden Ratio, Art and Beauty It suggests that the navel divides the height of the body in a golden section

13. The Golden Ratio, Art and Beauty A B C D

14. Michelangelo Raphael

15. The Golden Ratio, Art and Beauty Rembrandt Seurat Turner

16. The Golden Ratio, Art and Beauty Now it’s getting silly

17. The Golden Ratio, Art and Beauty The ratio of the width of the nose to the width of the mouth in a beautiful face is 1:1.618, the Golden Ratio. Now take the distance from the hairline to the tip of the nose and then the distance between the nose and the chin. The ratio on an attractive face will be… you guessed it, 1:1.618. So, the more beautiful a face, the more it will fit in the mask. From Queen Nefertiti to Greta Garbo to Cindy Crawford, beautiful faces fit within the measurements of the mask almost exactly. Even Jessica Simpson, while some people may question the beauty of her music, seems to have a face that fits the geometric proportions of the Golden Ratio.

18. The Golden Ratio, Art and Beauty Click on Shrek to see how phi can determine how beautiful you really are Skip intro and select ‘Our Research’

19. Making the mask Click on the image to see how the mask is created

20. a = top-of-head to chin b = top-of-head to pupil c = pupil to nose tip d d = pupil to lip e = width of nose f = outside distance between eyes g = width of head h = hairline to pupil i = nose tip to chin j = lips to chin k = length of lips l = nose tip to lips