1. By: Jahnavi Kothari 7.2

2.  Eye Width=30 mm  Width of bridge of nose=30 mm  Bridge Width=20 mm  Width of mouth when you smile=37 mm  Mouth Width=45 mm  Width of your teeth when you smile=50 mm  Teeth Width=16 mm

3. Bridge width = 20 = 1.5 Eye width 30...1:1.5 Mouth width =45 =2.81...1:2.81 Teeth width 16  Are the two ratios the same as each other? No  Are they close to each other? No

4. NameBridge width Eye widthBridge/e ye width Mouth width Teeth Width Mouth/te eth width Aditya0.3 1:10.90.51:0.55 - Arnav35401:1.1475601:1.25 Jahnavi35251:1.460501:1.2 Akash40 1:170451:1.55- Ratisha42371:1.1379491:1.61 Nishna60401:1.590601:1.5 Siddhant35 1:175601:1.25 TotalN/A 7:8.17N/A 7:8.91 AverageN/A 1:1.24N/A 1:1.27

7.  Were the six ratios for bridge/eyes different from each other? They were more or less similar. Aditya::Akash:Siddhant and Arnav::Jahnavi.  Were they very different? If the measurements are not exact then the ratios may be a little different. No, they were quite similar. Infact, many were in ::

8.  Now look at the mouth/teeth ratios. What is the average for the ratio? Sum of all values Number of all values 8.91 7... 1:1.27mm  Are the two ratios from the same person similar? Nishna’s ratio was same (1:1.5::1:1.5)

9. Gopika Kothari

10.  Are the two ratios for a face similar? Bridge/eye ratio Mouth/teeth ratio 12:11 52:47 =12/11 =52/47 =1.1...they are in proportion  Are the ratios similar to those for your class? 1:1=1 and 1.24=0.98 1:1 1.27

11. Aishwarya Rai

12. Sandra Bullock

13. Brad Pitt

14.  How do the results compare with those for ordinary adults? They are quite similar. The ordinary adult is 12:11 and Sandra is 15:13. 12/11 15/13 =1.1...1.1::1.1  Do beautiful people have a different ratio? No, only Brad Pitt’s in the golden ratio.

15.  Leonardo Fibonacci was a genius who initiated the most necessary keys for our world like the golden ratio. In history, the ratio for length to width of rectangles of 1.61803 39887 49894 84820 has been known to be the most pleasing to the eye. This ratio was named the golden ratio by the Greeks. Lots of structures in ancient Greece uses Golden Ratio.

16. The Golden Section was known to the ancient civilizations. The ancient designers were far ahead of their times and looked for the best aesthetic proportion for their architecture usage. The Golden ratio played a major role in the designing of buildings. The measurements of the great pyramid in Egypt, the Parthenon temple in Athens and the Pantheon temple in Rome are all in Golden ratio.

17. Length (mm)Width (mm) 11.618 1:1.618

18.  The Golden Ratio was used as a propre artistic aspect, especially by the by the Renaissance arrtists such as Leonardo Da Vinci and Michael Angelo. Mozart composed his symphonies according to golden ratio. Golden ratio is also present in contemporary art. Mona Lisa by Leonardo Da Vinci *Marked places are in golden ratio

19. All the key features of the face for a tiger are in golden ratios. * These lines defining the length and width of its face.

20.  The body parts of an ant are in the golden ratios of its length. Its leg sections are also in golden ratios of its length.

21. Image available from: http://www.planetware.com/i/photo/acropolis-parthenon- athens-gr003.jpg [Accessed 17 April 2010] Image available from: http://www.vimooz.com/blog/wp-content/uploads/2009/05/aishwarya-rai1.jpg [Accessed 17 April 2010] Image available from: http://www.lisafamily.net/Sammy/Pix/SandraBullock.jpg [Accessed 17 April 2010]

22. Image available from: http://3.bp.blogspot.com/_0zW- Gub3_GA/SMSZB4itctI/AAAAAAAAAG4/cx-h- 0P3UTg/s320/image49.gif [Accessed 17 April 2010] Golden Ratio information available from: http://www.holylandmap.net/The_Little_Prince_Lands/enine.htm [Accessed 17 April 2010] Golden ratio in nature and images available from: http://goldennumber.net/nature2.htm [Accessed 17 April 2010]